Product Assurance Technology for Procuring Reliable

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Apr 16, 1986 - receiver delays and the inter-chip delay is illustrated in. Figure. 3.13. The delay is measured when the feedback select switch is in each of ...
J

JPL Publication 89-1 J

Product Assurance Technology for Procuring Reliable, Radiation-Hard, Custom LSI/VLSI Electronics Report for Period" October 1984 - September 1986 M. R. B. K.

G. Buehler A. Allen R. Blaes A. Hicks

G. A. Jennings Y.-S. Lin C. A. PiSa H. R. Sayah N. Zamani

Janua_

Prepared

1989

for

Defense Advanced Research Projects Agency, U.S. Department of Defense and

National Aeronautics and Space Administration by

Jet Propulsion Laboratory California Pasadena,

Institute

of Technology

California N 'L,-,'n2

(

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LLtC r',"i.

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T?L.P

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JPL Publication 89-1

Product Assurance Technology for Procuring Reliable, Radiation-Hard, Custom LSI/VLSI Electronics Report for Period" October 1984 - September M. G. Buehler R. A. Allen B. R. Blaes K. A. Hicks G. A. Jennings Y.-S. Lin C. A. PiSa H. R. Sayah N. Zamani

Janua_

Prepared

1989

for

Defense Advanced Research Projects Agency, U.S. Department of Defense and

National Aeronautics and Space Administration by

Jet Propulsion Laboratory California Pasadena,

Institute California

of Technology

1986

The

work

Laboratory, fense the

California

Advanced National

described Research Aeronautics

in this Institute

report

performed

of Technology,

Projects and

was

Space

Agency,

the

Administration.

and

by was

National

the

Jet

sponsored Security

Propulsion by the Agency,

Deand

Abstract In this chips

are

needed use.

effort,

advanced

described.

These

to qualify

This

work

specialists,

Their

custom

ICs

from

of test

chips

has

Satellite) The

Chip,

a test

technical

were

cause

failures

seven

versions

Development gate-oxide

of new

mechanisms

4.

time-dependent

run.

data

demonstrating

.

Two parts

chip

from

structures

from

Chips sufficient

1986. Radiation were performed

runs

of two

another

on Asymmetrical

of test

defects

a set Effects

structures

used

In addition,

are

In the

testing

most

likely

reporting

techniques and

that

are

to

period,

for measuring

propagation

used

and

extraction

delay.

to evaluate

contact

failure

electromigration

were

Strips

on

for the

shipped

the

second structure

requirements

the

run

on

the

Cells

iii

Chip

CRRES

Dose

CRRES

wafer

(for example,

CRRES

to the

Integrated

one

sites

for evaluating

test

to characterize

of drop-in

SRAM

procedures

wafer-level

data

runs

papers:

Chip,

prepared.

Chips

Test

number

tests (Total on these parts.

7. Publication

a series

effects.

defects.

capacitance,

to analyze

fabrication

de-

breakdown.

and

that

these

which

been

parameter

used

dedicated

a set

interconnect

was

parts

Radiation

radiation

circuits.

and

of Reliability

space

include:

contains

gate-overlap

a limited

space

for (IC)

goal

a Fault and

process-induced

have

dielectric

of Test

This

acquired

that

Strip,

data

for obtaining

of this

Release

effort

fabricated

of MOSFET characteristics.

Evaluation

Test

(Combined

in CMOS/Bulk:

Development subthreshold ,

test

of a set

In pursuit

to determine

fault

capacitance,

Development

fault-tolerant-circuit technology

of various

developed

(ASICs)

the

a Parametric

in concurrently of the

Circuits

test the

of integrated-circuit

foundries.

Chip

in acquiring

and

of this

density

to be used

effort

for monitoring

of a Fault the

procedures

and

circuit

microelectronic

engineers,

CRRES

accomplishments

to evaluate

.

the

use

on developing

silicon

developed: and

that

Integrated

test-chip focused

CMOS/bulk

1. Development

2.

Specific

were

been

intended

the collaborative

physicists,

Chips,

methods

are

Application

efforts

of Reliability

chips

represents

device

signers.

measurement

and

Split-Cross for Single-Event

could

be

nine).

flight

parts.

program Single

wafer

Flight

in March, Event

Bridge Upset

Upset)

Resistor Analysis.

and

Acknowledgements The present address of C. A. Pifia is University of Southern formation Sciences Institute, Marina del Rey, California and the of G. A. Jennings

is Department

of Computer

Engineering,

California/Inpresent address

University

of Lund,

Sweden.

PRECEDING

PAGE

BLANK

NOT

FILMED

PAGE,,iV

INTENTf0NAH.T BLANK

Contents

1

Introduction

2

Test 2.1

Chip

1 Sets

2.2

Fault 2.2.1

Test 3.1

..............................

Test Chip Abstract

6

............................ ............................

10 10

2.2.2

Introduction

2.2.3

Fault

2.2.4

Pinhole

2.2.5

Comb/Serpentine/Cross-Bridge Contact Chain and Contact

2.2.6

3

5

Introduction

.........................

Chip

Organization

Array

Capacitor

2.2.7

Floating

2.2.8

Matrixed

Inverters

2.2.9

Matrixed

Transistors

2.2.10

Fault

Chip

2.2.11

Fault

Prioritization

2.2.12

Circuit

2.2.13

Fault

2.2.14

Future

2.2.15

Conclusion

Gate

...................

16

40

Results

41

Process

Testing

................ ................. due

to Gate

......................

.........................

Oxide

Pinholes

.

48 50 51

..........................

Capacitors

57

........................

Introduction Theory

3.1.3

Capacitor

3.1.4

Measurement

3.1.5

Equipment

3.1.6

Results

BLANK

46

59

Oxide

3.1.2

PAGE

32 40

Structures Gate 3.1.1

20 25

..................

Degradation

Work

Resistor .......... Chain Matrix .........

.....................

NOT

60

.........................

60

............................ Structure

60

Design

Techniques

................. ..................

.......................... and

Conclusions

FILMED

61 64 68

................... vii

PRECEDING

12

......................

Summary

Chip

...................

Transistors

Timing

10

72

CONTENTS

..°

VIII

3.2

3.3

3.4 4

Sampler Array ........................ Introduction .........................

3.2.2

Direct

Measurement

3.2.3

Muller

C-Element

3.2.4 3.2.5

Data Analysis ......................... Conclusions ..........................

Proximity

Structures

3.3.1

Introduction

3.3.2

Structure

3.3.3 3.3.4

Experimental Conclusions

The

4.3

4.4

4.5 Device 5.1

5.2

73

..........

79 85 90 90

.........................

90

.....................

90 92 92

...................

94

Structures ..............................

Electromigration

Layer 4.2.1

Electromigration Test Structures

.......................

Methods

Contact 4.3.1

Electromigration Test Structure

4.3.2

Test

Structure

4.4.2

Test

Method

4.4.3

Analysis

and

Introduction

5.1.2

Subthreshold

5.1.3 5.1.4

Parameter Results

5.1.5

Conclusions Circuit

5.2.2

Progress

Breakdown

...............

110 110 110

.......................

and

Future

112

Work

...............

116

Simulation

5.1.1

Objectives

ll0

.........................

Subthreshold

5.2.1

108 108

........................

Method

117

Parameter

Extraction

...........

......................... Expression

...................

123 ...............

128 129

.......................... on the

135 Hypercube

........................... and

Results

118 118

Extraction Algorithms ............................

Simulation

104

108

.........................

of Results

.....

104 104

...................... ........................

Dielectric

Test

(TDDB)

.........................

Method

4.4.1

104

Breakdown

........................ ........................

Test

Time-Dependent

103 104

Dielectric

4.2.2

Integrated

...........

Sampler

.........................

Resistor

Time-Dependent

Models

Delays

Results .................... ..........................

4.1.2

MOSFET

of Circuit

Geometry

4.1.1

Summary

72 72

as a Timing

Split-Cross-Bridge

Reliability Test 4.1 Introduction

4.2

5

Timing 3.2.1

.....................

.........

135 135 136

CONTENTS

ix

5.2.3

6

7

5.2.4

Significance Personnel

of the Results ...........................

5.2.5

Publications

..........................

..................

136 137 137 139

A Test Ch'p Case Study 6.1 Introduction .............................. 6.2

Areas

6.3

Test

6.4

Geometry

6.5

Wafer

6.6

Test

6.7 6.8

of Investigation Chip

........................

and

Test

Strip

and

Test

Program

and

Disposition

Probing Strip

140

Design

140 ..................

Generation

..............

144

of Data

..............

146

Wafer

Map

Parametric

Test

Strip

Wafer

Map

Comparisons

6.9

Mean

Value

Comparisons

......................

6.10

Mean

Value

Comparisons:

Summary

6.11

Wafer

Maps

Purpose

7.3

CRRES SRAM

7.4 7.5 7.6 7.7

Preliminary Probing

Results

.............

147

...................

147

.......................

158 161 Results

...........

161

..............................

165 171

CRRES Project 7.1 Introduction 7.2

144

..............................

172

................................

172

Chip Description .................................

......................

172 182

1986 NSREC Paper ......................... MOSFET Matrix ...........................

190 195

Timing 7.7.1

Sampler ............................ Test Hardware and Measurement

197 204

7.7.2

Data

7.7.3

Conclusions

7.8

Conclusions

7.9

Future

7.10

CRRES

Bibliography

and

Results

Procedure

.......................

205

..........................

210

..............................

Work Chip

213

............................. Test

Configuration

........

213 Pin

Outs

.............

214 223

List

of

Figures

2.1

Fault

2.2 2.3 2.4

Two

2.5

P-PAC

test

results

for run

M44E,

wafer

4

2.5

P-PAC

test

results

for run

M44E,

wafer

4 (Continued)

2.6

N-PAC

test

results

for run

M44E,

wafer

4

2.6

N-PAC

test

results

for run

M44E,

wafer

4 (Continued)

2.7

First-Layer

Metal

2.8

Schematic

diagram

2.9

Run

2.10

Contact

Chain

Structure

2.11

Contact

Chain

Matrix

Structure

2.12

Contact

Chain

Matrix

Structure

2.13

Contact

resistance

2.14

M62Z

2.15

Floating

2.16

Test

2.17

Floating-Gate

2.18

Run

2.19

Experimental the conduction

2.20

Chip

No.

5

...........................

13

Fault

Chip

No.

7

............................

15

Gate

Oxide

origin

17

defect

types

of Pinhole

M61P

Poly

contact gate

setup

Array

Capacitor

of the

transistor

21

Two types Transistor

of the Matrix

2.22

SEM

Photos

2.23

Fault

prioritization

2.24

Fault

models

2.25

Circuit configuration n-channel transistors

22 23

......

24

Resistor test

26

.......

27

results

.

28

models

floating

.............

(Schematic) analysis

analysis gate

29

Metal

process

for n- and

32

contacts

....

33

...................

transistors

34

...............

35

.................... gate

36

transistor

analysis

.......

37

overlap length variations transistor ..........

Serpentine

on 39

............ showing

a wire

40 43 break

.....................

p-channel

xi

. .

44 48

devices

and timing table .........................

FILMED

31

..........

p+Poly/Metal

of the gate poly of the n-channel

of M61P

30

...........

method

faulted inverter structure test circuit ....................

NOT

.......

.............

Resistor

(Layout)

analysis

results state

18

.......................

probability

n-channel

.....

.............

Comb/Serpentine

probability

device

PAGE BLANK

structures

Comb/Serpentine/Cross-Bridge

2.21

PRECEDING

(PAC)

Comb/Serpentine/Cross-Bridge

for floating

M61P

.......................

used

............. for simulating

51 faulty 52

LIST

xii 2.26

Circuit

configuration

p-channel 2.27

and

transistors

Change

oxide

delay

pinhole

Automated

2.29

Slotted-chuck

chip

3.1

The

Annular

MOSFET

3.2

The

Racetrack

3.3

Schematic

3.4

Cross

wafer

Inversion

3.6

Gate sured

and

holder

data

test

capacitor

to a MOSFET

3.8

of capacitance measurement The accumulation method

3.9

Error

in the

by using

Timing

sampler

3.12

Differential

3.13

Measuring

inter-chip

3.14

Two-input

Muller

3.15

Positive

3.16

CMOS

3.17

Restoring

3.18

Block

delay

the

diagram

delay

level

the

latch

Timing

Timing

3.23 3.24

Timing sampler fitted data ..................... Collision Test Structures .......................

4.1

The

4.2

Cross

4.3

Electromigration

electromigration section

inverter

of the

structure

76 .......

77 80 ....

81

structure

. . .

............ data

element

85 ..........

86

........

86

...........

87 89 91

................. second

83 84

a tau model

electromigration and

a staticizer

..............

pair

using chain

first

.........

82 with

Array

inverter

calculations

test

of part

74

a C-Element

Array

3.22

Sampler

69 70

71

..................

CMOS

array

..........

sampler

C-Element

3.21

sampler

Co_ .

measurement

sampler

using

Sampler

as-measured delay

capacitance,

78

as a timing

One

circuit

method

......................

measurement

Timing

mea-

............

timing

Timing

of the

67

.................

3.20

sampler

oxide

paths

3.19

stage

....

n-MOSFET

accumulation

measurement

of the

65

method

curve

capacitance

with

C-Element of the

inversion

. .

68

measurement

C-Element

logic

the

annular

probe/matrix

delay

dynamic

an

accumulation

measurement

transition

64

66

..................... for measuring

to delay

delay

63

capacitance

n-MOSFET

to perform

different

approach

56

......................

Connections

3.11

using

55

.........

for measuring

while

system .......

..........

structure

Capacitance-Voltage

introduced

due

acquisition testing

structure

test

method

capacitance

transistors

54 chip

capacitor

3.7

Traditional

p-channel

parametric

Capacitance-Length plot for in inversion ...........................

method

faulty 53

for automated

inversion

method

3.10

for simulating

...................

of an n-MOSFET

for measuring 3.5

prober

MOSFET

section

used

of n- and

resistance

2.28

of the

table

.........................

in propagation

to gate

timing

OF FIGURES

105 test

structure

metal

layers

.... .....

105 107

LIST

xiii

OF FIGURES

4.4

The

metal-n-t-diffusion

4.5

The

time-dependent

5.1 5.2

The The

p-MOS n-MOS

5.3

Subthreshold

5.4

¢2 > ¢1 ................................ Subthreshold characteristics

5.5

¢2 > ¢1 ................................ The model of an n-MOSFET tance

contact

electromigration

dielectric

reference reference

case case

breakdown

test

structure

structure

.

........

lll

...................... ......................

characteristics

118 119

for a p-MOSFET

at radiation

levels

for an n-MOSFET

at radiation

levels

120 121 where

the

drain

and

source

resis-

is R ...............................

Charge

5.7

formly doped n-MOSFET ...................... MOSFET drain characteristics for VDS

= 5.0V

.........

124 133

5.8

MOSFET

drain

for VDS

= 0.05V

.........

134

6.1

Four-inch

diameter

from

VTI-2

.........

141

6.2

Map

of the

6.3

Test

Chip

6.4 6.5

wafer maps and maps

and

metal

Chip _

wafer 10

Chip

electric

potentials

run

for

a uni-

.......................

sheet

VTI

for

resistance

from

for the from

142

sheet

the

VTI

and

2, Wafer

resistance

2, Wafer

and

#10

contact

linewidths #10

of

.....

linewidths

166 of

..........

resistances

167

from

VTI2,

voltage,

VTO,

..............................

wafer

conduction

maps

Chip

wafer

7.1

The

JPL

7.2

The

CRRES

Satellite

7.3

JPL

CRRES

chip

7.4 7.5

The JPL Transistor

7.6

Geometry

7.7

JPL

7.8 7.9

Design errors Encroachment

KP,

maps

CRRES

168

for the

factor,

Test

7.10

wafer

for the

maps

6.7

matrix

and

p-t-diffusion

wafer

Test and

VTI-2 wafer

Chip

Wafer 6.6

silicon

n+poly

Test

field,

characteristics

n+diffusion

Test the

electric

122

5.6

the

density,

109

transistor for n- and

for the

Chip

inverter

threshold p-channel VINV

and

MOSFETs...

169

Gain

170

......

........................

173

.........................

SRAM

logic

175

diagram

..............

177

CRRES Chip MOSFET Matrix ............. locations in the MOSFET matrix ............ of cells

CRRES

decoder

Chip

in MOSFET Timing

Matrix

Sampler

...............

Circuit

Expansion of the p-well cell ...................................

180

............

in the 4 kbit SRAM cell ............... of the p-well into the p+diffusion circuitry

178 179 181 182

in the

transistor

....................... around

design

183 boundaries

in the

SRAM 184

xiv

LIST

OF

FIG URES

7.11

Voiding

in the

interlevel

7.12

Circuit

diagram

of one

7.13

Symmetrical

7.14

Asymmetrical

7.15

Transistor

7.16

Pre-

7.17

CRRES

7.18

Threshold

7.19

Timing

7.20

Apparatus

7.21

Timing

7.22

Positive

7.23

Wafer

map

average

inverter-pair

delay

for positive

edges

7.24

(Wafer Wafer

4) ............................... map of the average

inverter-pair

delay

for negative

edges

7.25

Test

specifications

for the

JPL

CRRES

Chip

SRAM

7.26

Test

specifications

for the

JPL

CRRES

Chip

Timing

7.27

Test

specifications

for the

JPL

CRRES

Chip

MOSFET

leakage

voltage analysis

edge

4)

upset

for the

inverter-pair inverter-pair

dose chip

JPL

186

......

188

......

189

array

curves

.......

198 199

p-channel

timing chip

data

data

196

...............

CRRES

delta

response

MEP

...............

for n- and

CRRES

on the

response

MOSFET

total

dose

Chips

ion upset

n-channel

versus

of the

ion

heavy

versus

185

CRRES

configuration

for measuring sampler

heavy

lk SRAM

post-irradiation Chip

....................

of JPL

lk SRAM

cell,

measurement

and

(Wafer

cell,

oxide pair

MOSFETs

sampler timing

203

.......

204

sampler

. . . 206

..............

from

one

chip

207 ........

208 211

...............................

212 ....... Sampler Matrix

216 .

218 220

List

of Tables

2.1

Critical

parameters

2.1

Critical

parameters

2.2

Abbreviations

2.3

The

Fault

2.4

Test

structures

2.5

Test

structures

2.6

Pinhole

Array

Capacitor

defect

classes

2.7

Pinhole

Array

Capacitor

defect

identification

2.8

Fault

Chip

Report

1

.........................

42

2.9

Fault

Chip

Report

2

.........................

45

2.10

Fault

Chip

Report

3

.........................

47

2.11

Example

2.12

Priority

3.1

Results

3.2

Diode

3.3

Design

4.1

The

4.2

Dimensions

4.3

Examples

used Chip

4.3

Results

5.1

Individual MOSFETs

5.2

Individual parameters

test

parametric

structures

structures

(Continued).

test

and

structures

associated

7 8

.......

parameters

9 ....

12

No.

5

................

14

for Fault

Chip

No.

7

................

16

...............

19 ...........

20

............................

tests

49

defects

of Round voltages

indicated

for the

of various

by Collision

of modeled

Wires

for

circuit

50 72

Test

Test

Structures

Test

Chip

step-stress

Structures

.

93

...........

106 Structure

oxide

.

data

(continued) from

analysis

MOSFET

113 for

the

step-stress

oxide

breakdown

....................... of the

data

parameters

114

in Table based

4.3

...........

on individually

115 fitting

four

............................. MOSFET given

130

parameters

in Table

106

breakdown

.............................. of modeled

92

........

Electromigration

the

......

.............. Collision

in Layer

data

example

MOSFETs

Electromigration

of Metal

experiment 4.4

associated

.........

Chip

Interconnect

Examples

and

for the

structures

for Fault

breakdown

experiment

test

of likely

from

rules

associated

test

circuit listing

and

5.3

derived ....................

XV

from

the

global

FET 131

LIST

xvi 5.3

Global

MOSFET

parameters

6.1

Transistor

6.2

Metal

to n+poly

contact

6.3

Metal

layer

resistance

6.4

"Full"

Wafer

6.5

"Avenue"

Wafer

6.6

Test

Strip

ST5102

results

6.6

Test

Strip

ST5102

results

7.1

Summary

7.2

JPL

7.3

Chip

7.4

CRRES

7.5 7.6

Comparison n-MOSFET

of n-MOSFET Matrix Co-60

Matrix radiation

7.7

p-MOSFET

Matrix

radiation

test

7.8

Summarized

data

timing

samplers

Geometries sheet Map:

....................

Map:

Chip

placement Chip

histogram

Metal

...........

148

............... contact

to n+Poly

149

resistance

contact

......

resistance

150 ....

...................... (Continued)

to the dose

Irradiation

Co-60 the

151 154

................

Projects

expected

Cobalt-60

from

histogram

to n+Poly

deliveries

and

145

resistance

Metal

TABLES

132

........................

of CRRES/MOSIS

CRRES

OF

155

as of March, CRRES rate

1987

program

for the

MEP

.....

176

.......

180

.......

187

.................

196

Test Results test results results

.......... ..........

200 201

..........

202

on four

wafers

....

209

Chapter Introduction

1

2

CHAPTER

The

goal of this effort

low the silicon

foundries

The

use

widespread being

of test

chips are

report

acterize

and

three

evaluate

test

analyze

initial

identify

the

the

defect

the

Release effect

Radiation on

chips

as a means

of

promises

to

Circuits

failure

the

defect

CRRES

basis

for

strip

used

to

type,

Chip

The

to

used

to

(Com-

in the early chips

the

and

CRRES

12 JPL-designed This

Chip

reliability

will be launched

contains the

common the

test

to characterize

Fault

long-time and

to char-

on one

used

the

to radiation.

Satellite)

form

Strip

most

modes,

fabrication

(MEP)

Technology

is based

Test

expected

microelectronics.

methodology

test

Integrated

parameters,

the

Effects

which

Monitor

SPICE to identify

of the

system

is

reliability

approach

Assurance

runs

Process

and

Package

test

Product

to characterize

of radiation

associated

CMOS

customers

Currently,

This

from

as spacecraft.

and

Application-Specific

foundry

long-time

Its Microelectronics the

process.

will al-

manner.

to extract

response

and

standards

CMOS

density

used

expected

characterize

a

and

Chip

military

cost-effective

particular

chips:

parameters

Reliability

and

describes

process

acceptance.

and

such

for quantifying

for wafer

in the

of custom

in a timely

This

a basis

that circuits

manufacturers control,

UCTION

LSI/VLSI

applications

circuit

for process

of a manufacturing

qualification

(ASICs)

bined

by integrated

INTROD

methodology

custom

use in critical

essential for use

quality

assurance

radiation-hard,

their

for providing

the

the

and

permit

contemplated

evaluating allow

and

and

a product

of reliable,

for they

parameters, are

is to develop

procurement

I.

1990s.

to analyze

family

of structures

integrated

circuit

and

the

qualification

procedures. One dures and

key element

to determine outlier

wafer

sample

exclusion

which

veloped smaller

size

test

area

than

and

that

frequency,

needed

incorporating

in order

and

Another data

base.

values

with

key element This those

on target

and

As part

of this

allows

errors

measured

if the

process

effort,

probed

test

in predicting

time is the

to compare

parameter

on previous

runs,

tolerances chips

on

types

contacts.

addressing,

used an

and

to decide

to characterize

entire

3-#m

effort

of a

we de-

allows

using

the

a much "smart"

individual must

ac-

Dielectric be ana-

values.

establishment and

area

This

allows

to failure

mean

functions,

which

study of the Time-Dependent 1600 or more test structures

in this methodology one

different

proce-

limited

of this

resistance

of four

column

distribution to the

As part

contact

for individually row

to minimize

due

structures.

contacts

of statistical

parameter

to measure

of 464

development

is important

for use for test

cess to all 464 contacts. Simulation Breakdown Structure revealed that lyzed

is the

This

structure

characterization

structure,

methodology

methods.

is available

a special

statistical test

in this

of a parameter standard

deviation

if the parameters them

CMOS/Bulk

are

are

acceptable. p-Well

wafer

run were evaluated. For this particular run, the lot toleranceswere: for the gate linewidth, 0.18 jum, for the threshold voltage, 0.017mV, and for the conduction factor, 7 percent. From Cobalt 60 testing, the radiation damage factor was found to be about 32 mV/krad(Si). In our estimation, theseare excellent values for microelectronics intended for usein a natural spaceenvironment. A final element in this methodology is the development of innovative test structures that allow one to quickly measure key parameters. During this period three structures of note were developed: (a) the contact resistor matrix mentioned above, (b) the gate-oxide capacitor (round and race track versions) and (c) electromigration test structures (a 15-segmentedstructure for metal, and a 16-elementstring for contact evaluations). In order to "exercise" the product assurancetechnology,a chip was designed for the CRRES MEP and two dedicatedfoundry runs undertakenfor theseparts. On eachfoundry run ProcessMonitor Test Strips and drop-in Test Chips (containing a set of structures from the ProcessMonitor and the Fault Chip) were included alongsidethe CRRES Chips. From the secondrun, four 3-_m CMOS pWell wafers wereanalyzed in detail. Numerousparameters were mapped across the wafers and results obtained from nine drop-ins were compared with those from about 90 ProcessMonitors. This analysis led to the conclusion that nine sites placed in a 3 × 3 grid are sufficient to characterizethe wafer and to distinguish acceptablewafersfrom unacceptablewafersfor current CMOS processing. The reader is encouragedto study the following report. For those with questions, the technical staff of the VLSI TechnologyGroup is happy to discuss technical details and can be reachedat (818) 354-2083.

Chapter Test

PRECEDING

PAGE

2 Chip

BLANK

NOT

Sets

FILMED

PAGE

_

INTENTIgMAI_t_ BLANK

CHAPTER

6

2.1

TEST

CHIP

SETS

Introduction

As

a result

several tion

of the

years,

required

of this

effort,

Product

structures

to evaluate

custom

it has

become

for industrial

for a specific

application

families

of test

chip. rameter

set

Form

Chip In this

tions,

as well as those

These

parameters

though

the

types the

critical

parameters into

have

test

the

1. PROCESS stability

are

needed

and

the

following

proven

dopant

and

used

interlayer

of the

oxide

thickness,

contact

were

the

and/or

test

2.

and

final

[2] and

report

DEVICE from

test

circuits.

structures.

set. the

Al-

different

Table

2.1

used

structures scribed

methods

PARAMETERS. The as

device

inputs and

in the

test

used

The

first

described

The

parameters

used

parameters

are

elsewhere

to monitor variables

control

Some

of these

majority

simplest

parameters

to device

and

methods

used

previous

PAT

final

described

3.4 of this

of the same

such different quantities

provide

process

circuit

simulation

report

[2].

used these

previous

parameters

found

to determine

in the

as

PAT

report.

of these

device

the

of a manufacturing

process

linewidth

are

3.1 and

The

of the

lists

parameters.

2.2.

are

significant

resistances.

in Sections

measurements

MOSFET. are

the

JPL

or lot evalua-

are required as inputs by the level 2 and 3 SPICE MOSFET models in circuit and device simulation. The structures used to determine parameters

pa-

scheme:

those

some

using

wafer

to obtain

these

Intermediate

sets

morphologically

parameters

by measuring

determine

critical

required

which

These

from

CMOS

of devices

in Table

classification

a reliability

or deleted

designed the

general

the rule

the

is designed

and

in Caltech

twenty

explained

six categories

concentrations,

layers,

specially

less than

prepares three

chip

to perform

behavior

structures

PARAMETERS. that

the

to extract

are

to be a good

of a process

process

from

is large,

structure

chips design

needed

to model

determined

structures

for each

arranged [1] and

are

test

to cover

parameters

required

of which

be added

of these

conduct

developed

can

for different

informa-

each

a fault

past

the

that

chips,

the

In the

method

is adequate

descriptions

over

circuits.

we have

chip,

effort

to provide

VLSI

test

structures

generated

list of parameters

of test

symbols

test

Assembler (TCA). section we list the

developed

end,

test

composition

be easily

(PAT)

an efficient

To this

a parametric

their

can

that

use is to develop

[1]. Geometrical

(CIF)

has been

evident

individual

if necessary,

Technology

or semi-custom

or use.

chips:

Although

chips

Assurance

a set of test

methodology

Test

2.

are obtained

in MOS control

these

circuits:

the

information

and

programs. parameters

The are

test de-

2.1.

INTRODUCTION

Table

2.1:

Critical

parameters

and

associated

Parameters

Test

1. Process 1.1 Layer

Sheet

1.2 Layer

Linewidth

1.5 Substrate 1.6 Field

Abbreviation

XBR XBR,

Dopant

Oxide

1.8 Junction 1.9 Bulk

Density Voltage

Breakdown Lifetime

Gate

Oxide

Device

RO-TR

CAP, TR

TR

TR, DI PFPR

Voltage

Resistivity

Bulk

CAP,

ALI

Alignment

1.11

SXBR

CR, CR-ARR

Resistance

Threshold

1.10

DI, CAP CAP

Breakdown

Parameters

2.1 VTO

(Threshold

2.2 Gamma

(Conduction

2.4 WE

(Effective

2.6 Lambda 2.7 IDSO

Effect

Channel

(Channel

2.9 VDBBD CGSO

TR

Factor)

(Channel

2.8 IDBLEAK

TR

Factor) Width)

TR

Length)

TR

Channel

(Effective

TR

Voltage)

(Body

2.3 KP

2.10

Structure

Resistance

1.7 Layer-layer

2.5 LE

structures.

Parameters

1.3 Metal-Layer Contact 1.4 Oxide Thickness

.

test

Length

Modulation)

Leakage

2.11

CGBO

(Gate-Body

2.12

CGDO

(Gate-Drain

Leakage)

TR

Breakdown)

TR

Diode

(Source-Drain (Gate-Source

TR

Current)

(Source-Drain

Diode

Capacitance) Capacitance)

2.13

CJ

(Junction

2.14

MJ

(Exponential

2.15

CJSW

(Junction

2.16

MJSW

(CJSW

2.17

VPT

(Punch-through

2.18

VBG

(Gate-Oxide

Capacitance)

RTR-TR,

ROTR

RTR-TR,

ROTR

RTR-TR,

ROTR

RTR-DI-

Capacitance)

RTR-DI

Factor) Sidewall

TR

Capacitance)

RTR-DI

Factor)

RTR-DI

Exponential

TR

Voltage) Breakdown

Voltage)

CAP

8

CHAPTER

Table

2.1:

Critical

parameters

and

associated

Parameters

Test

3: Circuit

test

TEST

structures

Structure

CHIP

(Continued).

Abbreviation

Parameters

3.1 VH

(Inverter

VHIGH)

INV,

INV-ARR

3.2 VL

(Inverter

VLOW)

INV,

INV-ARR

3.3 VINV 3.4 GAIN

(Inverter (Inverter

3.5 VNM 3.6 Tau 4. Layout

(Inverter (Gate Rules

4.1 Layer

VIN -- VOUT) Gain)

INV,

INV-ARR

INV,

INV-ARR

Noise

INV,

Margin)

Delay)

Linewidth

4.4 Poly

Gate

Overlap

4.6 Active

Area

SXBR, CR Over

Field

Oxide

of Contact Overlap

Of Contact

5. Defect Density 5.1 Oxide Defects 5.2 Layer

TS

XBR

Extension

4.5 Metal

INV-ARR

RO,

4.2 Layer Spacing 4.3 Contact Size

6,

2.

TR,

CS

CR, CR

CS

CS

CAP-ARR

Bridging

CMB

5.3 Open Layer at Step 5.4 Contact Resistance

STP

5.5 Inverter

INV-ARR

CR,

Variability

CR-ARR

Reliability 6.1 Time-Dependent Dielectric 6.2 Radiation Hardness 6.3 Electromigration 6.4 Oxide Instabilities 6.5 Contact 6.6 Latch-Up

Reliability

Breakdown

TDDB RO-TR CR,

CMB

TR,

CAP

CR, CR-ARR LUTR

SETS

2.1.

INTRODUCTION

Table

.

2.2:

Abbreviations

ARR

Array

CAP CMB

Capacitor Comb structure

CS

Collision

CR

Contact

DI

Diode

INV

Inverter

LUTR

Latch-up

RO

Ring

RO-TR RTR

Round, Annular transistor Racetrack transistor

TDDB TR

Time dependent Transistor

TM

Timing

STP

Step

XBR

Cross-bridge

CIRCUIT

provide

for using

circuit

structures described

RULES.

important

to both

control, of

determine

a given

rules.

these

a given set

oscillator

dielectric

breakdown

sampler resistor

parameters,

information

simulation.

in Section

of layout

transistor

These

which in the

Typically

or a simple

to determine

LAYOUT

set

resistor

The

these

combination

circuit

designer or not

Although

parameters

of geometrical

and

circuit

a circuit

of simple to circuit

by

these

user.

The

test

to the

delay are

of inverters,

the

can

prime

can provide design

essential

of gate

parameters

and

provided

their

process

are

meadeter-

such

as a

gates may be design. The methods

used

report.

information

whether

manufacturing

parameters

3.2 of this

form

these

Other simple gates or combinations the timing information so essential

used

structures.

structure

timing

an inverter

ring oscillator. used to obtain

test

structure

PARAMETERS. designer,

mined

group

parametric

Structure

surements

.

for the

Abbreviations

circuit

are

used

The

is not

that

produce

structures

used

is in this

using

information

to consistently rules.

parameters

be designed

purpose

important

measurements a given

of process

on the devices

ability within

to determine

10

CHAPTER

these

parameters

of this

DENSITY.

circuit

yield.

expressed

The

in terms

pinholes,

parameters

structures

provide

faults

of structures

and

test

ters and

can be used to predict contact electromigration

reduce

circuit

Fault

Test

Chip

described

SETS

in Section

3.3

effort,

been

developed

the faults

a measurement

defect.

Defect

faults,

reduce

of defect

densities

metal

that

for gate

opens,

2.2 contains

density,

and

oxide

metal

step-

a discussion

of the

These

parameters or limit

life. Chapter time-dependent

five test

chips

were

characterize

the faults

life.

parame-

circuit

These

4 details the test for layer dielectric breakdown. developed.

Abstract Chip

has

CMOS/bulk

integrated

ing wafers, induced sity

in the

circuit

to proper

to characterize

(IC)

incomplete

by photolithographic

is essential

To this Poisson

processes.

These

and

patterning

of layers.

design,

removal

simulation,

and

end, the Fault Chip enables estimation distribution of defects. Defect densities of each

fault

type

geometry.

Fault

Chip

analysis

has

oxide

pinholes

of different has

defects

deposition

likelihood

also

resistive

2.2.2

faults enabled oxide

from the

for a specified

simulation

pinhole

defects

originate and

Knowledge

3-/_m

in start-

in the

of the

faults

defect

of integrated

den-

circuits.

of defect densities based can be used to determine

the

based

on the

circuit's

characterization

to contact

of timing

in the

of layers,

testing

circuit

enabled

found

resistance

degradation

on a the layout

of a number distributions.

of simple

gates

It

due

to a

fault.

Introduction goal

CMOS/bulk and

CHIP

methods.

circuit and

of this

A Fault

The

are

characterize

performance

course

2.2.1

used

Section

PARAMETERS.

either

2.2

per

bridging

can be determined.

that

In the

methods

These

integrity,

RELIABILITY

.

test

of elements

contact

coverage types

the

TEST

report.

DEFECT

.

and

2.

of this

process

to develop

predicting

effort

circuit

is to prioritize

before

suitable

test

degradation

stressing; circuits resulting

faults

found

to develop to verify from

in test

static the

structures

CMOS/bulk

correctness

physical

failures.

in a 3-#m fault

of the

models;

models

in

2.2.

FAULT

Our

TEST

approach

in a 3-/_m

has

Southern

be tested

developed,

Fault

meets

The

current

a stuck-at which

that

systematic

stuck-at

information

data

approach

bases

is taken

foundry

wafers

The

general

according

here

conducting metal, the

and

For

analysis

bad

in one

of accompanying the discovery those gate

that

The string

Chip the

approach,

encountering

mean

turned has

original which

also

off and

several

not

hundred

resistance, contact.

the

information individual spread

in the

silicon

which from

transistors thus,

are

floating-

turned

structure

integrity

design. a long

yield.

allows the

on.

was

on parametric and

in

are different

charge;

contacts,

metal

low yield resulted

of open-gated

in values,

section. between

the

diffusion

test

and

of broken with

pinholes

into

a layer

layout,

of oxide

contact

or

phenomena.

p-MOSFETs

insight

same

to distinguish

this

positive

are

grouped

in a later

number

analysis

Chip

process, design,

large

for evaluating provide

the

n-MOSFETs

a small new

between

noteworthy

floating-gate

provided

been

many

in n-type

on

Fault

have

detail

to correlate

A novel appear

tests.

the

The

able

first fault

reports.

single-metal

been

uses

a circuit is the

as they

on

region.

analysis

case,

to have

approach does

using contact

an open

tend

ac-

Further,

Chip

circuit

found

of faulty

[n another

gates are

Fault

of the

are terminated characteristics

failure

in greater

able

case,

fabrication

Traditionally,

structures

an abnormally were

wafer

wafer

Fault

a defect

observed

and

The defects.

field

test

we have

fully

foundry

or to ground.

integrated

have

chips

acquisition

fault

characterized

Chip,

and

p-MOSFETs.

from

or a bulk

In another

pinholes

floating

of contacts

current

Fault we saw

electrical

n-MOSFETs

For example,

tion

the

faults.

is discussed

coverage

circuits.

of faulty

showed

case

voltage

of such

four

of

When

on

CMOS/bulk

diffusion,

runs,

step

that

that

In a 3-#m

of the

with if a given

structures

first

data

is issued.

circuits

characterizes

structures

foundry

due to poor

implies

layers.

parametric

a hard

directly

test

the

a structure

of these

example,

wires

that

so the

of integrated

realistic

of the

Notice

poly-silicon,

of each

From

are

to establish

to whether

is either

good

derived

categories 2.3.

different testing

been

MOS

developed

introduces

the only

faults

the

University

simulation

nature

have

through

found

microcircuits.

supply

where

in order

in Table

are the

defects

Institute,

report

qualified

power

faults

to measure

and

in conjunction

approach

to the

was

for deciding

for fault

This

pulled

attempt

used basis

standard

chuck

prober

for space

approach.

monthly

Sciences

a summary

will be the

to characterize

is fabricated

wafer

requirements

is either

it is assumed

listed

Chip

Chip

wafer

is analyzed,

industry

fault

chip

A special

to form

the

a Fault

Information

automated

data

procedures

process

node

an

the

the

ceptance

This

(MOSIS),

(USC).

by

After

to develop

process.

Service

California

system.

11

been

fabrication

Implementation can

CHIP

The

determina-

probability

of

12

CHAPTER

Table

2.3:

The

Fault

Chip

Structure

structures

and

Parameter

Pinhole

Array

Different

Capacitor Comb

test

Layer

Pinhole

Resistor

Serpentine

Same

Resistor

Contact

Matrix

Inverter

Layer

Gap

Resistance

Same Wire

Layer Resistance

Vinv,

Matrix

Layer Resistance

Vhigh,

Vlow, Transistor

TEST

associated

and

Timing

2.2.3

Fault

The

Fault

field

oxides,

Figure

Element

Analysis

Transistor

Elements/Defect

Wire

Elements/Defect

Gap

Wire

Elements/Defect

Contact

Probability

Inverter

Open Contact Parameter

Gain Transistor

Operating Domain

Transistor

Initial

listed

the

in Table

The

objective

crossovers)

The versions Revision

requires

to acquire must

Fault

to date.

with

2: Cross-Bridge

fault

through

contacts from

Resistor

This

improves

were:

to the

p-PAC

gate added

to the

and

to Metal

contains No.

test

5 are

structure.

transistors because

defect

or metal the

number

densities

revisions

structure

substrate

and

in

structure.

by each

is difficult

and

As seen

Chip

in each

design

revisions

added

on a side,

(for example,

data.

in gate

layers.

on Fault

consumed

five major

design

the

of elements area

as pinholes

within

7.1mm

elements

as processing

major

injected

in the

such

shorts included

the number

enough

has gone

1: Substrate

and

approximately

meaningful

The

defects

opens

The structures

tradeoffs

increase

Chip

rent Revision

is square,

is to include

of elements lower.

and

structures.

2.4 along

design

Voltage

to characterize

integrity,

chip

of test

Gate

Organization

is designed

contact

of

Variability

and

Conduction State

Chip

Chip

2.1,

a number

The

Devices

SETS

parameters.

Different Layer Short Resistance Open-Gate

CHIP

Resistance

Different Contact

Matrix

2.

and

become

seven

to collect

through

Comb/Serpentine

oxide

major

the

cur-

defects.

Resistor

to

2.2.

FAULT

TEST

CHIP

13

Figure

2.1:

3-#m

CMOS/Bulk

Fault

MOSIS

test

strip

shown

top

at the

Chip of the

No. 5 (7.1mm chip.

by 7.1mm)

with

the

14

CHAPTER

Table

2.4:

Test

structures

Test Structure 1.n-Pinhole Array Capacitor

Element

Serpentine

Metal

Cross-Bridge

4.Poly

Comb

Poly

Resistor

Resistor

8.Open-Gate

(#m)

measure

the

Step

(6 #m)

18,450 1

Length

(#m)

326,472 18,300 1

Contact

160

Inverter

223

sheet

2,600 144

3: Poly Comb/Serpentine/Cross-Bridge information on the poly layer.

Revision

4: Contact Chain data

Revision

Figure of the

Matrix Matrix points

5: Floating transistors 2.2 shows revisions

the

structures

replaced Contact

in less silicon

area

than

arrays neighbor

latest

of the

above.

Fault

Structures

Chain individual

replaced effects. Chip,

included

width. added

by Contact

The

version

wire

resistor

gate transistor to eliminate

discussed

and

structures.

listed in Table 2.5. The most noteworthy No. 5 is that the number of contacts has No. 7. test

2

resistance

Revision

Subarrays

218,448

Inverters

locally

#

90,558

Length

Transistor Transistors

Devices

SETS

No. 5.

Elements

Step (9 #m) Cross-Bridge

Matrix

CHIP

90,558

Adj.

Adj.

Resistor

Matrix

7.Transistor

TEST

Cross-Bridge

Poly Cross-Bridge Resistor 5.Contact Chain Resistors •6.Inverter

#

Transistor

Resistor

Serpentine

Chip

Transistor

2.p-Pinhole Array Capacitor 3.Metal Comb Resistor Metal

for Fault

2.

by

No. on

to provide

Chain Matrix

and

fault

Contact

provides

more

floating

gate

contacts. isolated

7, which Fault

Chip

includes No.

all 7 are

change between Fault Chip No. 7 and increased from 160 on No. 5 to 920 on

In this discussion, a distinction is made between array-type and matrix-type structures. In array-type structures, a large number of elements are tested

simultaneously to assess whether a fault has occurred. In such structures, the parametric value of the fault can be characterized but the fault cannot be located

2.2.

FAULT

TEST

CHIP

15

DEVICES

Figure MOSIS

2.2: test

3-#m strip

CMOS/Bulk shown

at the

Fault top

Chip of the

No. 7 (7.1 mm chip.

by 7.1mm)

with

the

16

CHAPTER

Table

2.5:

Test

structures

for Fault

Element

#

Test Structure 1. Pinhole Array Capacitor

2.

Chip

TEST

CHIP

No. 7.

Elements

#

Subarrays

n-type

Transistor

77,454

4

p-type

Transistor

77,454

4

218,448

5

18,450

1

2. Metal

Comb/Serpentine/Cross-Bridge

Comb

Resistor

Serpentine

Resistor

Cross-Bridge 3. Poly

Resistor

Resistor

Adj.

Length

Step

(6 #m)

Resistor

1

7. Matrixed

Transistors

8. Open-Gate

Length

(_tm)

326,472

Step (9 #m) Cross-Bridge Matrix

Chain Resistors Inverters

array

category.

Contact

(3.0 #m)

464

Contact

(2.4 #m)

464

Contact Inverter

(3.0 #m)

32 223 2,600

Transistors

of each

for further

analysis.

In matrix-type element

in a matrix.

category.

In the

2.2.4

Pinhole

The

structures,

following

The

Array

Pinhole on-chip

Contact

sections

each

1 -

1

22

-

2

-

Inverters

in the

5

18,300

Transistor

Devices

-

Resistor

Adj.

Serpentine Resistor Cross-Bridge Resistor 4. Contact Chain Resistor

5. Contact 6. Matrixed

(#m)

Cross-Bridge

Comb/Serpentine/Cross-Bridge

Comb

SETS

Array

Capacitor

decoding

Chain

allows

Resistor

structure

from

falls

Matrix Table

into

this

characterization falls

into

this

2.3 is described.

Capacitor

Description The Pinhole Array Capacitor (PAC) described of the art in evaluating MOS device integrity. cap

separated

MOSFETs. diffusion

by deposited These

layers.

MOSFETs The

structure

oxide

from

are

elsewhere [3] represents The PAC consists

an underlying

formed

is arranged

two-dimensional

by orthogonally in four

intersecting

subarrays.

The

the state of a metal array gate number

of and of

2.2.

FAULT

elements ures

in each

2.5

oxide

TEST

and

defects.

The

The

oxide

growth gate

[4,5,6] oxide

are

pinholes the

Map gate

This

surface

residual and

silicon

gate

oxidation masks

nitride

results

the

to be against

the gate

in a thinning

phosphorous

material

1

process,

is believed

which

allows

shorts.

to be between

local

definition,

in Fig-

metal-poly

resistive

shorts

in a CMOS

given and

by simple

resistive

oxide

regions,

polycrystalline

modeled

silicon

2.3).

affected

Location

to characterize

of these

for gate at

(Figure

at the

phosphorous-doped

range

is used nitride

Defect

used

defects

gate

nitride

in the be

oxide the

of residual

of the

can

show

of the

silicon

oxide

is listed PAC

Metal-poly results

origin

formation

17

subarray

2.6.

Experimental and 100 k_. in which

CHIP

to dope

from the

the

silicon

n-

type.

NAKAJIMA

t

KOrOI

N,','R,o,= f\ o×,,:,,=

_NH 3

f

_./_'

--NITRIDE_

( l

Analysis The

first

and

the

flow out The

the

IPBON, and

2.3:

Gate

(

POLYCRYSTALLINE_

IPB

is present;

SIL_

THIN

_

OXIDE_

OXIDE

SILICON

Oxide

defect

origin,

after

Kooi

(1976)

and

Nakajima

(1979).

Technique fault

mechanism

poly the

gate, poly

second

IMP.

mechanism

and

current

OFF

to the

investigated

layers Four

particular

this with

between

metal

Poly

that

measurement,

the transistors

IPD

cap

the and

oxide

between shown either

measurements is the

to Bulk.

channel gate

is shorting

different

IPBOFF.

from

indicates the

is shorting

is applied

To perform

measured.

IPDOFF,

us to identify

A voltage

to various

current

is investigated

metal the

cap

current

is measured.

region.

is applied

is the

that

layer

fault

source/drain

voltage and

3

SILICON

Figure

the

_

The

is absent. defect

current ON suffix These

as shown

gate

in Figure

biased are

from

made:

2.4,

IPDON, to Diffusion

that

a channel

measurements

in Table

and

ON or OFF

Poly

indicates four

the

2.6.

Two

allow types

a

18

CHAPTER

STRUCTURE:n-PAC DEFECT: TYPE # 1 CHANNEL: OHMIC BULK: JUNCTION _l-

STRUCTURE: DEFECT: CHANNEL: BULK:

2.

SETS

vG --_+SV

T IPD

( SILICON

_-

/ -

p

°

IPB _

fault

CHIP

I_PAC TYPE _/2 JUNCTION OHMIC

VG = _+5V

IPD

Figure

TEST

2.4: type

of PAC

Two

IPB

types

of Pinhole

is determined

by the

fault

models

are

type

1 defect

models

the

first

type,

the

pinhole

Array channel

proposed n-PAC

forms

Capacitor

(PAC)

conduction

type.

to explain and

the

the

type

an ohmic

four

measured

2 defect

connection

structures

models to the

where

currents.

the

The

p-PAC.

channel

and

the

In the a diode

connection to the bulk. In the second type, the pinhole forms a diode connection to the channel and an ohmic connection to the bulk. From these models we have prepared

an expected

response

for the

was prepared for both single is one in which two or more measured

current

the

"l";

value

is greater

otherwise,

currents

as shown

than

or equal

it is assigned

to I(CUTOFF)

the

value

set to 1.0 x 10 -s A, but our software 1.0 x 10 -9 to 1.0 X 10-_A to better

can modify fit the data.

certain

by four

four

type measured

other

currents,

combinations

modeled cover the

of signature

a large p-PAC

between

area is more

including

represented one can

of currents

by the defects and

shown

identify are

other

diagnosable

the

observed.

in Figure

affect

a p-PAC

in Table

2.7.

This

table

and multiple faults. A multiple fault (e.g., BD) faults can lead to the same current path. If the

2.4.

adjacent than

the

or an n-PAC

"0".

Initially

it is assigned I(CUTOFF)

is

I(CUTOFF) in the range of Each modeled defect has a

digits

(see

nature

Table

of the

In these When

then

cases,

this occurs

subarrays. n-PAC.

Thus, chip,

if you choose

From

In some

the the

Notice

on a test

2.7).

defect.

defect defects

in Table have the

the cases

is not usually 2.7 that

to choose p-PAC.

2.2.

FAULT

TEST

CHIP

Table

19

2.6:

Pinhole

Array

Capacitor

Defect

The

PAC

Detected histogram

No Defect

Detected

B

Poly-Bulk

Defect

D

Poly-Diffusion

S M

Poly-Diffusion Defect Metal-Poly Defect

P ?

Probing Fault Other Defect

Analysis

are

is generated,

as symbols

PAC

a cluster

defect.

Third,

the

a value

for the

elements

Finally, and

for all categories

values

are

The 3-#m

shown

PAC

oxide are

Analysis

program

PACs.

defects B, BD

and type

2.6. one

and

in Figure

2.5,

in a 1101

sequence. clusters,

The

gate

oxide

defect

2.6 and

in the

are found defect.

is type Defect

the

or more

used

are

a wafer

type

used

map

of the

for each

method

is

defect.

category

for calculating

to analyze

of elements

data

and

p-PACs

oxide

defect.

the

Four

defect three

isolated

defect,

and

D,

B, DB.

data

these

The

Map

cluster shown

subarrays,

from

PAC

analysis)

of the

for its current of one

results

a total the

a total

the for each

have

For example,

have

adjacent

Second,

is calculated

of this

raw that

Location

four-current

alphabet

as to the

E,

number

SB type.

n-PACs

one other

in three

defect,

a B, BD type

The

of the

defects.

categorized

was

show

metal-poly

is clearly

P-P

(both

are

with

categorization.

2.6.

total

These

two

four Figure

The

results

2.5 and

Letters

Examples

2.5 and

Example

in Figures

per

combined.

Data

2.5.

defect

a gate-oxide

of the faults on the wafer; see Figure 2.5. whether the fault is an isolated defect or are

in Figures

CMOS/bulk

is 70,434.

defects

oxide First,

subarrays

shows the location is used to determine

of Array)

steps.

in Figure

generated which This information

(Side

automates

in three

as seen

to represent

Defect

Program

categorized

classes.

Classes

N

Data

faults

defect

"a"

structure are

shown

of 6 isolated

gate

gate

oxide

defect,

exceeds

isolated

gate

metal-poly

defects

highlighted I(CUTOFF) oxide oxide

defect, defects.

defects

are

highlighted

in Figure

2.6.

When

they

are

two

classified

defects

as a cluster

in

2O

CHAPTER

Table

2.7:

Defect

IPDON

IPBON

based

on four

IPDOFF

Pinhole

IPBOFF

TEST

Array

TYPE

CHIP

Capacitor

1

TYPE

2

n-PAC

p-PAC N

0

0

0

N

1

0

0

1

B,D,DB

D

1

0

1

1

S,SB,SD,SBD

S,SD

1

1

0

1

?

B,BD

1 COMBINATIONS

1

? ?

SB,SBD ?

1 OTHER

NOTES:

ON OFF

= Channel = Channel

SETS

tests.

0

1 ALL

2.2.5

identification

2.

present absent

0 = Current

less than

1 = Current

greater

I(CUTOFF) than

or equal

to I(CUTOFF)

Comb/Serpentine/Cross-Bridge

Resistor

Description The

Comb/Serpentine/Cross-Bridge

shorts

and

one

opens.

This

cross-bridge

Figure

resistor.

2.8 shows

a schematic

Comb/Serpentine/Cross-Bridge

ers.

Prior

that

the

touch

to measuring

each

structure The

The

probe

Resistor

test

pads

pad.

The

the

five

combs

comb

wires

have

the

which

a different

crosses

over

steps

made

crosses

over

steps

made

breaks

in the

The wire mation

wire

due

cross-bridge

width

where

structure, down

is needed

test

down

test

when

are

spaced

length

according

adjacent layers.

by layers

of poly

coverage is used the

diffusion,

serpentine

the

Notice probes

to

resistance

100 ohms. between the design

lay-

rule

serpentine limit.

The

The

serpentine

Metal

serpentine

and

is used

the

sheet

for detecting

problems.

to locally

is formed

two

the two-terminal

serpentine.

2.7.

Poly

is performed.

For example,

and

and

2.7 allow

to the

to the

and

Resistor.

for Metal

in Figure

layer

in Figure

Comb/Serpentine

value which is usually used for detecting shorts

to step

to analyze

of the

is passed

single

one serpentine,

is shown

is available

shown

level

bridge

structure

a probe

structure

by lower

resistor the

of the resistor

is less than some predetermined The comb structures are and

layout

to characterize

of five combs,

representation

for the probe

is used

consists

over

measure the

highest

resistance

level

resistance

layer.

measurements.

This

and infor-

2.2.

FAULT

TEST

CHIP

21

M44E WAFER 4 FAULT CURR. IPDON 1.0 × 10- i5 0 2.0 × 10 -15 0 5.0 x 10- 15 0 1.0 2.0 5.0 1.0 2.0 5.0 1.0 2.0 5.0 1.0 2.0 5.0 1.0 2.0 5.0 1.0 2.0 5.0

× × × × X × x × × x x x × x × x x x

10 -14 10 -14 10- i4 10- i3 10 -13 10 -t3 10 -12 10-12 10- i2 10 -ii 10 -_l 10 -li 10- lo 10- lo 10- 1. 10 -9 10 -9 10 -°

I(CUTOFF) 1.0 x I0 -s 2.0 x 10 -s 5.0 x 10 -s 1.0 × 10 -7 2.0 × 10- r 5.0 X 10 -7 1.0 × 10 -c 2.0 × 10 -G 5.0 × 10 -G 1.0 x I0 -s 2.0 x 10 -s 5.0 x 10 -5 1.0 x 10 -4 2.0 × 10 -4 5.0x 10-4 1.0 x 10 -3 2.0 x 10 -3 5.0 x 10 -3 INC/EXC cUTOi_F LOWER

0 1 0 0 8 7 12 8 6 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 3 1 0 0 0 0 0 0 0 0 0

d a

bef c

OF OBSERVATIONS IPDOFF IPBOFF 0 0 0 0 0 0

0 0 2 0 2 3 12 22 1 0 0 0 0 0 0 0 0 0

0 0 1 0 3 4 17 19 1 0 0 0 0 0 0 0 1 0

0 0 0 0 0 0 0 0 0 0 0 1 0 4 1 0 0 0

0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0

b acef d

a

d e

f

b c

48/0 48/_0 ..... 4_8/0 .... < 1()-g Amps STRESS VOLTAGE BOUND SHOWN FOR HISTOGRAM

C,URRENT Figure

p-PAC NUMBER IPBON 0 0 0

2.5:

SOURCE P-PAC

BOUND test

APPROX

results

for

IMP 0 0 0

0 0 0 0 1 0 0 24 9 6 2 0 0 0 0 0 0 0

0 0 0 0 0 0 1 10 12 7 13 2 2 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 1 1 3 1 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0

b c aef d

48/0_ ..... 48_/0 = 5.0 V INCREMENT

= 20 mA run

M44E,

wafer

4.

CHAPTER

22

DEFECT

LOCATION

M44E

2.

TEST

CHIP

MAP:

4

WAFER

p-PAC

COL 1144488ACCDD ROW 582585825858 N/PP

2709

............

8127

............

18963

..........

40635

............

2709

............

8127

......

P/PD

N-

a .....

18963

....

b-c---d-

40635

--e---f p-PAC

..... DEFECT

GATE

OXIDE

ANALYSIS DEFECTS

TYPE D

S

CLUSTERS

B,BD

FAULT SITE

SB

e

b

a

c

P-P

OTHER M-P

TOTAL ELEMENTS 70434

f d

Z (×1o ES (×.1o 4)

>

3.6

> 3.6

2.1

6.0

***

2.6

66

***

METAL-POLY

FIELD

OXIDE

CLUSTERS M-M NO.

i

OF

> 3.6

> 3.6

TOTAL ELEMENTS

0

0

70434

> 3.6

> 3.6

13

***

***

1.4

FAULTS E

(xl0

ES

(xl04)

_)

Figure

13 1.4

2.5:

>

3.6 ***

P-PAC

test

results

for run

1.5 4.8

DEFECTS

OTHER

M-P

0

> 3.6

M44E,

wafer

4 (Continued).

SETS

2.2.

FAULT

TEST

CHIP

23 M?4E FAULT

WAFER ....

CURR. 1.0×10-,, • 2.0 ,< 10-1`5

4

n PAC r NUMBER _/PBON

/PDON

5.0 × 10- _5 1.0 × 10-14 2.0 x 10-14 5.0 × i0-14

2,0 × 10-12 5.0 × I0-12 1.0 × 10- lj

2 4 9 9

19 5

9

0 1 0 0

2.0× I0-1° 5.Ox 10-_o 1.0 × 10-o 2.0 × I0-O

0 3 I 0

5,0 >_ 10-9

0

0 1 0 I

I 0

1.0

0

0

2.0 × lO--r 5.0 × 10-7

0 0

0 0

1.0 × 10-o

0

2.0

× 10-6

5.0

x I0-6

1,0 × 10-,5

5.0

0 0 0

0 1 1

1 1

6 19 3

13 15 5

2 8 1

0 0 0

d

2 3

6 20

3 0

0 2 3 0

2 0 0

0 0 0

bd ace

0 0

0

e

0

O

0 0 0 0 0

0 0

0

0

0

0

0

0

0

0

0

1

0 0

1 0

0 0 0 0

0 I 0 0 1

× 10-4

0 0 0 0

1 2 2 7

0

0 0

d

f

0 0 0

0

f

f

0

0

0

0

0 0 0 0

0 0 0

0 0

0 0

I

0

0

0

0

0

0

0

0

2.0 x I0-_ 5.0 x 10-a

0 0

0

0 0

0 0

0 2 1

BOUND

CURRENT

Figure

v SHOWN

SOURCE

2.6:

N-PAC

_xftE, FOR

BOUND

test

I

SS

f

d

1.0 × jO-a

LOWER

VOL-'PA_s---_"'-"-,_ =

........ az/1 5.0 V ...............

HISTOGRAM INCREMENT APPRox = 20mA

results

for

MP

I 0 0 0

I 0 0 0

abe e

2.0 x lO-S 5.0 × lO-S

2.0 x 10-5 5.0 × 10-_ 1.0 x 10-4 2.0 × 10-4

0 0 0 1

I 0 1 0

0 0 6 I0

I

0

4

2.0 × lO-ll 5.0 x 10-J_ 1.0 × I0- lo

IPBOFF

0

0 0 0 0

X 10 -13 × 10- z3 × 10-_3 × 10-12

x I0-r

OBSERVATIONS

IPDOFF 0

1,0 2.0 5.0 1.0

OF

run

M44E,

wafer

4.

24

CHAPTER

DEFECT

LOCATION

M44E

II44488ACCDD 582585825858

2709

........

8127

--M .........

P---

............ -M ......

N---

2709

a .......

P---

8127

b ...........

18963

c .....

40635

e ..........

d .....

n-PAC

f DEFECT

GATE

OXIDE

ANALYSIS

DEFECTS OTHER

l

D,B,DBTYPE

CLUSTERSM-P P-P

S,SB

d

FAULT

CHIP

n-PAC

ROW

40635 P/ND

4

COL

18963

TEST

MAP:

WAFER

N/NP

2.

TOTAL ELEMENTS 70434

a

b

SITE

C e

5)

13

ES ( x lO 4)

140

E

(xl0

3.6

3.4

***

FIELD

TYPE

CLUSTERS

OF

M-M

3

>

14

METAL-POLY

M NO.

>

3.6 ***

OXIDE

1.8

15

4.1

DEFECTS OTHER

M-P

0

5.9

TOTAL ELEMENTS

0

0

70434

FAULTS

_:6 ES

( × 10 4)

Figure

2.6:

6.9

N-PAC

> 3.6 ***

test

> 3.6..... _.6 ***

results

.......

***

for run

_._ 6.9

M44E,

wafer

4 (Continued).

SETS

2.2.

FAULT

Analysis The

TEST

25

Technique

serpentine

serpentine Lserp,

CHIP

and

resistance,

Rserp,

measuring

the

is measured

voltage

by forcing

drop.

The

a current

serpentine

through

effective

the length,

is

R_erp × Wb_idg_,high

Lserp ----

Rs,bridge

where

Wbridge,high is the

pared

with

150%

of the

coverage

the

is due

Wire wires

are

are

M61P

that

necking

being

by suppling

shorted

site

wire

are

results

shown

than

M61P

Las.draw n : fault

Contact

and

the

10.0

comb

nA,

the

as faulty. the

The wires

raw

data

program

and

gathered

generates

calculates

the

a

defect

detected.

No short

Notice

etching.

than

Comb/Serpentine/Cross-Bridge

164700#m.

was

serpentine

to analyze resistor.

opens

2.9.

run.

the

layers.

to over/under

is greater

is flagged

developed

a step-

serpentine

steps.

low lying

due

layers

of the serpentine

and

for Poly

in Figure

for the

a probing

length

shorts

over

from

5 V between

the

been

to have

apparent

than

step.

features

two

is longer

following:

crossing

different

between and

has

wire

The

of the

at the

underlying

current

program

analysis

2.2.6

of the

detected

_eakage

for the

observed

layers

of the effective

densities The

lying

or more

L,e_p is com-

length

is considered

as faulty.

Comb/Serpentine/Cross-Bridge

histogram

larger

serpentine

resistance.

effective

serpentine

of one

to the

considered

the

the

sheet

If the

is flagged

due

sizing

A software from

then site

and

Under/over

If the

length.

thinning

of high

shorts

Rs,bridg_ is the

wire

Undulation

wires.

the

to a combination

3. Width 4.

length

and

1. Serpentine 2.

and

serpentine

as-drawn

problem

length

width

as-drawn

or open

resistor

defects

that

Lserp -_ 169931

The

"P"

shown

in the _m

for the

which

poly

for run

comb

were

is 3.2 percent

serpentine

indicates

encountered.

Chain

and

Contact

Chain

Matrix

Description The Contact chain. Since area

than

Structure.

Chain Structure [7] consists these contacts share the same

individual The

four

contacts. types

Figure of Contact

of eight current

2.10 shows Chain

contacts connected path they consume the

Structures

layout are:

of the

to form a less silicon

Contact

Chain

ORIGINAL OF POOR

26

CHAPTER

2.

TEST

CHIP

SETS

CROSS-BRIDGE

Figure 2.7: The Comb/Serpentine/Cross-Bridge with poly crossovers.

Resistor

in First-Layer

Metal

PAGE

IS

QUALITY

2.2.

FAULT

TEST

27

CHIP

--_1!

I

m

i

I

! '

i

i

SERP. IN

Figure

E-]

E-!

COMB 2

COMB 3

COMB 4

COMB 1

2.8:

mented

E.• Schematic

into

diagram

of the

Comb/Serpentine

Resistor

SERP. OUT

COMB 5

which

is seg-

five subarrays.

1. p+Poly/Metal, 2. n+Poly/Metal, 3. p+Diff/Metal,

and

4. n+Diff/Metal. However,

the

each

chip

to enable

tact

Chain

Matrix

Figures the

2.11

Contact

Chain

Matrix

and Chain

Contact

Chain

a meaningful Structure 2.12

show

Matrix

Structure

was the

Structure contact designed Contact

transistor included

level on

Fault

does

not

probability

provide analysis.

and

included

Chain

Matrix

schematic, Chip

No.

enough

on

Thus, Fault

layout

respectively. 7 consists

data the

Chip

on Con-

No.

schematic

7. and

The

Contact

of four

different

28

CHAPTER

Identity M61P

of failed CHIP

chip - by location in chip 11111111112222222222

TEST

CHIP

SETS

M61P

run.

carrier

123456789A123456789A

NO. COMB

2.

16056 29436 50844 66900 163236

SERP.

183OO

SERPENTINE

LENGTH

........

p

...........

HISTOGRAM

0 166943

0

167690

3

***

168437

3

***

169184

5

*****

169931

2

**

170678

4

****

171425

0

172172

1

*

172919

1

*

+

0

As-Drawn Open

Serpentine

Serpentine

Shorted

=

=

=

[0], High

(#m)

Rserp

(12) Avg/StDev/Inc/Exc/Inv

ANALYSIS

Avg/StDev/Inc/Exc/Inv

e (fl)

Wbridge,hig

164700 Res.

#

- -

Serpentine

Wires

=

169931/1.39

= 812856/3.30

Avg/StDev/Inc/Exc/Inv

h (>m)

(Total

(#m)

#

Elements

Total

#

Shorts

Total

#

Defects

=

Sites

= 20)

× 103/19/0/1

14.5/1.11/20/0/0

Avg/StDev/Inc/Exc/Inv

=

3.03/0.228/20/0/0

........

Figure

2.9:

6529440

Opens

(_m)

366000

0 (#m)

Elements/Defect Std. Deviation

(Step:

9/_m) NA

NA > 2.13

Test

[0]

x 104/19/0/1

Shorts Total

=

[0]

nserp

Rs,bridg

YIELD

Wires

Combs

Length

results

× l06

of

Poly

(_m/Defect) *******

0 > 3.66

× 105

Comb/Serpentine/Cross-Bridge

(Steps/Defect) *******

on

2.2.

FAULT

TEST

CHIP

29

r POLY AND DIFFUS ION METAL

Vl2

VII AFteRt_ENEWEG(19S6_ Figure

2.10:

Contact

types of contacts: are 116 contacts

p+ and n+Poly/metal for each contact type.

consists

of 8 rows

and

current

path

the

same The

trix,

different consumed

to

Contact

replaces

excessively

to save

Chain the four

types

Matrix

necessary

version of the via resistance large

currents

The

silicon

were

by using

structures

saves

overhead Contact chains.

in each

row of the

There Structure

matrix

share

area.

matrix This

Structure.

and p+ and n+Diff/Metal. The Contact Chain Matrix contacts

Structure,

contact

of contacts.

by the

An early 1st metal

58 columns.

Chain

one

which

area

which

circuitry

and

randomly were

would

to generate

ma-

to access

the

otherwise

have

included unsuccessful

2nd metal because

been

pads.

Chain Matrix Structure This structure was

required

accessible

needed

measurable

voltages.

30

CHAPTER

2.

TEST

CHIP

SETS

58 CONTACTS

METAL METAL METAL METAL METAL METAL

V21

TO TO TO TO TO TO

N-DIFF P-DIFF P-DIFF N-POLY N-POLY P-POLY

58 58 58 58 58 58

CONTACTS CONTACTS CONTACTS CONTACTS CONTACTS CONTACTS

V22

• • • • •

V21

V22

12

12 _m

Vll

I_

DIFFUSION

Figure the

V12

four

2.11: types

_

Contact

Vll

POLY Chain

of contacts

l'-'1

Matrix found

with

V12

METAL 464 contacts.

in a single-metal

3-#m

Developed CMOS

to characterize process.

2.2.

FAULT

TEST

CHIP

31

---x.__.4 - COL

...

-I_o

w

- COL cc

I

"'-

_

I

R4-RO

O_

l

]

IROW

...

-FRO

w

ROW

r--1

Figure

2.12:

circuitry

The

test

contact

and

conductance

can

linear

are the

where

of each

for

used

forcing and

the

contact

a current

measuring measurement

I_=CONTACTCELL

0

row

and

denoted

column

addressing

by an X.

characterized

probability

is plotted fit.

The the

by

three

known

value

(64#A/#m

2)

drop over the contact accurate measurements

probability contact. difference

the

an open

of the

the

based

standard on contact

2.13, assumes a normal distribution of contact

scale

and

fitted

line and

the

probability

having

zero

conductance,

of a contact This

mean,

contact,

shown in Figure The cumulative

on the "probability

the

numbers:

of encountering

intersection

of an open to assess

of

the voltage and allows

resistance.

analysis [7]. This technique, of contact conductance.

to represent probability be

calls

interfacial

contacts

probability distribution

taken

Matrix,

measurement

procedure

deviation,

the

the

Chain

the Contact Chain This is a four-terminal

The

square

Contact

C_5-C

Technique

through surface. of the

The

allows

Analysis

COLDECODER

provides

between

a line

is fitted

a characteristic processes,

and/or

using

number vendors.

a Chiaxis

is i.e.,

which The

32

CHAPTER

2.

CUMU NORMAL

TEST

LATIVE (LINEAR

DISTRIBUTION

CHIP

SETS

DISTR IBUTION SCALE)

10o%

{gJ

o G

CUMULATIVE

DISTRIBUTION

(GRAPH

ROTATED)

f

A

L_ >. I-

G 1

90% G/J+ Go

--I

50%

Gp

G

method.

population the

mean

contact

M62Z.

p+Poly/Metal

99%

90%

The

contacts

and

probability probability

of run

of

M62Z

is

Transistors

Description The

floating

behavior the gate The

of the by the

floating

in Figure the

gate

floating

transistor process

gate

2.15. gate

transistor

is expected and

transistor

The

is a transistor

three

transistors

the

charge

models capacitances are the

with

to depend induced for n- and involved gate-to-drain

an isolated on the from

the

poly

initial

gate

charge

measurement

p-channel

transistors

in determining capacitance,

the Cgd,

wire.

The

induced

on

potentials. are

shown

behavior the gate-to-

of

2.2.

FAULT

TEST

CHIP

RK 1 :M62ZCT.

33

103 CREATED:

15:35:11 22-MAY-86 17:16:08 16-APR-86

BY CRUNCH

VERSION

6

RUN M62Z (FAULT CHIP5) P + POLY CONTACT CHAIN STRUCTURE CONTACT CUT WIDTH = 3.0 UM; STRESS CURRENT = 64 i_A/p.m 2 (CP3CTP + POLY 3.0) LAYER = P + POLY SIZE = 3.0 um 800

I []

I

I

I

I

[]

70O



%

600

--

z uJ :S

_

_ °

°

° °_/.e

5OO

q

I.U

4OO

300

-

200

-

100

-

I i i

Q,•

J eBqk,

O Q

0 E-3

I

I

I

.01

.1

.3

1 .5

.7

I

I

1

i

i

.9

.99

3N

4N

5N

PROBABILITY

# CONTACTS PROBABILITY

Figure M62Z. naman.

2.14: The

Contact analysis

#PROBE ERRORS= # OPEN CONTACTS INCLUDED/EXCLUDED OF AN OPEN CONTACT ERROR

Probability technique

= = = =

Analysis

was developed

*b,. I 6N

7N

8N

P(GI > G)

0 0 144/0 1.947E-07 9.068E-09

for

p+Poly/Metal

at JPL

contacts

by U. Lieneweg

and

of run D. Han-

34

CHAPTER

2. TEST

CHIP

SETS

S D Cgs

Cgd

-t' I

Ggbo

GC G

cl = Cgd

Cgbo

B

f

C2_

B Cgd

Cgs I

C1 = Cgbo + Cgs

S

-4,

i

C2 = Cgd

Cgbo + Cgs D

n - CHANNEL FLOATING GATE MODEL Figure source.

2.15:

source

capacitance,

depends

on the

Analysis The the

Cgs, area

transistor

and

of the

setup

for testing

is applied

to the

source

the

models

where

gate-to-bulk

poly

over

floating drain

is measured.

length

of 3/_m

source

voltage

channel

gate

the

the

overlap

field

body

is shorted

capacitance,

to the

Cgbo.

Cgbo

oxide.

Technique

test

voltage

Floating

p- CHANNEL FLOATING GATE MODEL

current

were "OFF." to cause the

and

gate

transistors

of the transistor

In run

M56G

the

a gate

overlap

length

of 5 V. The

floating

gate

of about The same

floating current

and

is shown the

floating of 26 #m

p-channel

1.0 × 10 -6 A, and

the

gate transistor voltage to flow in a calibrator

resulting transistors

were

tested

gate

with were

n-channel

is the gate transistor.

2.16.

current

gate

transistors

floating

in Figure

A

through

with

a gate

a drain-to"ON"

with

transistors

voltage required The calibrator

a

2.2.

FAULT

TEST

CHIP

35

+

+ FLOAT

--SV

m

I

m+5 V

FLOAT I _O S

() \7

7 n-CHANNEL

Figure

transistor device

is fully analysis

I-V curves voltage

using

and

the

gate

and

transistor

voltage

transistor

Vgd

VG

shown

= VG,

I-V curves.

used

voltage

and

of the

n-channel from

(JVDS

The

in Figure

the

current.

the

V).

following

gate

Transistor floating

gate

It is estimated

transistors

= -1.5

floating

2.17.

to estimate

channel

= 3.5 V (Vgs in Figure

+

transistors.

is shown are

is calculated

models

gate

transistor

transistor

gate

transistors

for floating

provides

calibrator the

p-channel

floating

setup

drain-to-source

M56G

capacitor-divider

Test

a calibrator

the

for a given

for run

the

2.16:

connected

from

that

p-CHANNEL

is less than The

gate

VTn,

voltage

equation,

of

using

the

2.15

I-

YGi)

× (1-e

-qRc)

1 + C2/CI where C = C1 × C2/(CI

+ C2), C1 = Cgd

transistors (C1 -- Cgbo+Cgs is the process-induced charge the

external

seconds.

voltage

Thus

and C2 = Cgdfor on the gate. Also

source.

for time

The

t >> RC VG

Since

the

gate

stant

RC,

the

negligible.

The

delay

of the

transition initial

time this

CMOS

+

voltage,

is of the

order

1.0 × 10 -l_

- VGi)

,+ c2/cl

devices VGi,

RC,

VGi with

becomes

(I VDSI

between

Cgs for n-channel

p-channel transistors), and R is the resistance in series

constant, equation

= VGi

time gate

and C2 = Cgbo+

the

is much initial represents

larger

state the

and

than

the

the

steady

gate-to-source

time

con-

state voltage

is

36

CHAPTER

CALIBRATOR

TRANSISTOR

TRANSISTOR

,

_VD

I I

'

=._

VG I

FLOAT

- ,oC)

_°_

TEST

LoGJDI

_-_- - -I

UNDER TEST

_

VD

- -

J/i

i

x 25r, , _--/_ ! !

I/I

I

I

VG2

VG3

VDI__

VG1

.....

VG _

VD1

VD2

VG3 VG2 VG1 VG i

Figure

2.17:

CHIP

,o()

vo3-_

LOG ID

2.

,

I

I

VD1

VD2

VD3

Floating-Gate

device

analysis.

VD3

VD ---_

SETS

2.2.

at

FAULT

TEST

a drain-to-source

behavior

of the

The when

initial VGi

equation

CHIP

37

voltage floating

gate

of zero

gate

voltage

RC

+ C2),

C1

= Cgs2

+ Cgbo2,

C2

= Cgsl

+ Cgbol,

ignored.

(RC

is in the

VG

order

= VGi

of 1.0 × 10 -13 seconds),

we have

(VDD-VCi)

+

1 + C2/C1 Since of

we can

VDD/2 The

the 4.0

for the analysis

gate

C1 = C2 and

second of the

faulted faulted

transistors:

n-channel

of about

The

and

the

implies

that

for this

"ON" The

with work

tions

have

have

been

not

the

transistor type

on the yet

developed

voltage

floating been and

fully are

is "OFF" about

the of about

gate

floating

of faulted

is at

configuration voltage

we expect

a gate

voltage

structure. structures

p-channel

gate

gate

1.3x

Poly-Poly b) Serpentine Metal Wire Poly

c) p-Pinhole

Array

Metal-Poly Gate d)

Ox.

Gate

Ox.

Poly Metal Poly

3932064

hngth(1

#m)

0/18

5876496

length{

1 pro)

0/18

332100

steps(6pm)

>

3.2) 6.8×105

Defects

1.2x105

Linewidth Sheet

b) Contact

_

9/18[

VARIABILITY

Avg.

Std.

Value

Dev.

ANALYSIS Prob.

of

Open

Points Incl/Excl

Resistor:

Linewidth(#m)

Sheet

0/18

2. PARAMETER

(Dimensions)

a) Cross-Bridge Metal

0/18

l0 G

(Opens): 3.3x105

TABLE Parameter

10 _

>

Shorts

Metal-Poly

Element

Total Elements

1.9×

Defects

n-Pinhole

Bad/Total

> Resistor

Wire

Sites

0.o8 0.13

18/0 18/o

30.

1.

18/0

14.1

0.59

18/0

(4.5#m)

(#m)(3.0#m) Res.

Res.

2.94

(rnfl/[:]) (n/El)

Array

Resistor

(Contact

size:

3.0 #m)

p+Poly/Metal

(I])

1.95×107

n+Poly/MetM

(fl)

5.42x107

144/0 144/0

p+Diff/Metal

(fl)

1.53x10

c

144/0

n+Diff/Metal

(fl)

1.15x10

s

144/0

46

CHAPTER

for

this

#m;

run

the

were

The

observed

third that

summary results

twelve

this

could

of defect

this

Further, the

the

the

2.2.11

Fault

It is of major

#m.

linewidth

the

circuit and

can

on layout

process

the

ith-type For

in the

problems

No. 5.

The

report

defects

and

it four

previously,

of circuits

fabricated

defect

Since

higher

The

than

The

coverage

densities

prob-

in previous

nominal

problems

is 4.5/zm

were

the

of faults Ei

circuit,

geometry

circuits,

and

the

priority

observed

the

represents

the

number

shows

Ni

represents

and

Di

= Ni/Ei

circell

circuits

to

with no adjacent shorts, no matter to poly

shorts

design,

the

estimated

defect,

Chip

of basic

of these

for proper

2.23

Fault

for a specified

responses

of poly

is needed

Figure

in the

of faults

For example, a circuit any poly to poiy layer

circuits.

ith-type

generated

likelihood

the

Therefore,

specified

contacts.

process

poly how

for this

simulation, of fault

pri-

Elements/Defect

the

from

number

of the

fault

priority

is the

ith-type for

the

defect. the

scaled

defects

coverage

Process

for different

2.23

for the

example

priority listing, from the MOSIS were

step

Chip

oxide

undersized.

step

to prioritize

Prioritization

Chip

elements

is 4.5

As explained

performance

are again

the

geometry.

the same

In Figure

Fault

width

undersizing.

be used

of integrated

oritization.

SETS

summary

Diffusion/Metal

No metal

that

control.

is zero. testing

gate

is significantly

Prioritization

reports not

contact

linewidths 2.81

significance

are

to defective

the process defects are different. to poly layers will not experience bad

the

defects.

timing

metal

on Fault

From

p-type

oxide

wire

CHIP

wire.

M63E 2.10.

have

gate

no

metal

for run

sites

nominal

However,

in Table

n-type

degrade

metal

of metal

elements

shown

relates

was

as a result

cuit based

produced

are

of an open

measured

summary

#m.

undersized

was

have

observation

of occurrence

runs. and

to the

The

TEST

run.

Another ability

linewidth. 2.67

of twenty-eight sites

type

was

due

out of twenty-eight during

metal

linewidth

summary

is seen

undersized

measured

problems

M63E

is the

2.

using

have

circuit

specified

in Table

2.11,

we have

shown in Table 2.12, based on the results run No. M62Z discussed in Table 2.9. The Di

= 104Ni/Ei.

the

highest

priority

for the

example

circuit.

As seen and

are

in Table expected

2.12

prepared

a fault

of the Fault Chips results in Table 2.12 the

to be

n-type the

major

gate

oxide

cause

of

2.2.

FAULT

Table

2.10:

Prepared

CHIP

FAULT

CHIP

by:

Report Note:

TEST

No.

ANALYSIS

H. Sayah(hrs),

3. Run

Fault

47

Chip

Reviewed

No. M63E. was

Type

> 2.0x

Poly

Poly

Resistor

Ox.

Array

>

Ox.

G 5,9x

1.8×

Defects

106

Poly Metal

1.3x105

Poly

2. PARAMETER

(#m)(4.5#m)

Linewidth

b) Inverter

6116544

length(_m)

2/28

9141216

length(_m)

6/28

516600

steps(6Dm)

0/28

512400

steps(9Aum

0/28

2537024

capacitor

2537024

transistor

2537024

capacitor

2537024

transistor

-4/28

]

1/28 I

VARIABILITY

Avg.

Std.

Value .....

Dev: ........

ANALYSIS Prob.

of

Points

O pe_ ....

Incl_/Ex_l

Resistor:

Linewidth

Sheet

0/28

7.7×I03112/28

(Dimensions}

Sheet

l

10'

4.6 x 105

................. Metal

Element

Cap.:

Shorts

a) Cross-Bridge

¢

105

1.1×10

TABLE Parameter

2.9>(10

5.1x105

Array

Metal-Poly

Total Elements

Cap.:

Defects

d) n-Pinhole

Gate

De v.

l0 G

> 5.1x

Metal-PolyShorts Gate

Sites Bad/Total

(Opens): 7.7 x 104

Wire

c) p-Pinhole

7-30-86

of 14 wafers.

ANALYSIS

Std.

5.3 x 106

b) Serpentine Metal Wire

C. Pifia(cap)

(Shorts}:

Metal-Metal Poly-

CMOS/BULK

No. 5 Date:

on each

1. DEFECT

Element_s/De.fect Resistor

3-_m

M. nuehler(mgb),

Chip

twice

E-value

.......... a) Comb

by:

Fault

fabricated TABLE

Defect

FOR

0.12

28/0

0.18

28/0

28.7

1.04

28/0

12.3

0.77

28/0

_

(#m)(3.0#m) Res.

Res.

2.72

(mf]/[]) (fl/D)

Matrix

(Wn/in

= 4.5/3.0,

Wp/ip

= 6.0/3.0):

2.35 - 19.0

0.03 1.04

-

5692/329

-

5692/329

{mV)

0.11

0.28

-

5692/329

(V)

4.99

0.01

-

5692/329

Vinv G air

(V_

VIow Vhigh

c) Contact

Resistor

Array

(Contact

size:

3.0Urn): I

p+Poly/Metal

(fl)

3.38

0.87

2.7

x 10-1°

n+Poly/Metal

(12)

2.14

0.64

2.1

x 10-7j

224/0

4.2 4.7

x 10 -4) x 10 -5

224/0 224/0

p+Diff/Metal

(l-l)

6.21

2.07

n+Diff/Metal

(_

4.48

1.19

d)

Open-Gate

Initial

Gate

n-Transistors Voltage

(V)

(W/L

= 6 _zm/3 0.16

I

224/0

#m):

0.05 ..........

4/0 ....

)

48

CHAPTER

FAULT

CHIP

GATE-LEVEL

EiIELEMENTS__

2.2.12

The

fault

models tial

Fault

Timing

information

gathered

for proper

simulators

process.

from such

structures

we have

test

defects.

Figure

2.24

circuits

we have

to-drain studied. and

and

the

all of the [10] for the

for n- and

defects

complete

p-channel

Jet

fault

models

results on

using

short

defects

of the

Gate

used

to develop

of the

only the

for n- and

p-channel

has

simulation

been The are

defects using

performance

n-channel prepared circuit shown

Array

oxide

calculated

gate-to-channel

same

fault

is essen-

Pinhole

for gate

ith

Oxide

a

of logical

In this experiment

Laboratory. fault

to

were

the

priority

development

models

defects

ignored;

was results

experiment.

are

the

model

the

p-channel

of these

Propulsion transistor

Chip

Fault

the proposed

simulation possible

Fault

introduced

a simulation

gate-to-source

DESIGN

Due

[9]. From

The

effects

conducted

A more

including

Technology used

to study

the

shows

of n- and p-channel transistors. bulk resistance of 1000 Ft. In order

Di represents

as SPICE.

of circuits

Capacitor

SETS

]

Degradation

simulation

gate

oxide

prioritization

Circuit Pinholes

for circuit

CHIP

Ni (_ ELEMENTS) E.[ELEMENTS_ '_ DEFECT

2.23:

TEST

Ni (_ ELEMENTS)

/

Di (DEFECT)=

Figure defect.

2.

the

gate-

defects fault by

are

model Fail-Safe

configurations in Figures

2.25

2.2.

FAULT

Table

and

2.11:

2.26.

mission

circuit

transistors

2.

i0,000

(#m)

3.

I0,000

(lzm)

4.

I0,000

Poly

5.

10,000

Metal

6.

10,000

p+ Poly/Metal

contacts

7.

10,000

n + Poly/Metal

contacts

8.

10,000

p+Diff/Metal

contacts

9.

I0,000

n+ Diff/Metal

contacts

is embedded

between

faulty

transistor

to simulate

(either for

and

2.27

resistance

cause

timing

length

two

steps

minimum

The

output

is required

resistance.

The

circuit

than

of the

circuit

of the

faulty

its output to the

simulator

pinhole

and

these

used

The

transistors

values

trans-

its output

of SPICE.

n-channel

size

to pull

to pull

version

As seen

greater

performance from

Figure

degradation

resistance

values

does

not

From

pinhole the

model

resistance

values

drastic

the

short

from

lead

that

Array

the

0.8

to circuit

different

circuits with

on the have pinhole

4.5 kfl

model are

short

than

observed

As

shown the

short

significant

for this

to

experiment,

to such

depends

in

of the

Although

responses

not

p-channel

performance

sufficiently

defects

the

circuit does

we have

by 1 ns. used

short

smaller

100kfI. the

not

circuits different

and

results

pinhole

the

model

values

10 and degrades

p-channel

until

resistance test

the

of pinhole

fault

about

between

of 10 to 100 kfl

degradation

of transistors

than short

of 10kll

values

n-channel

Capacitor

are

resistance range

smaller

versus

performance,

the

smaller pinhole

Pinhole

by 4.5 ns and in the

for

2.27,

resistances

pinhole

performance

be noted

performance

switch

2.27,

in timing

for pinhole

n-channel

The

length

diffusion

it takes

as smaller

in Figure

2.27,

it must

time

elements.

steps

situations.

4 to 1000kf/for

As seen

the

cause

the

value.

0.7 kfl.

Figure

adjacent

and

a commercial

transistors

adjacent

transistor

The

to switch. model

about that

shows

resistance

fault

Poly

of circuit

failures.

Figure

switch

over

of pinhole

from

to Poly diffusion

faulty

is PRECISE,

to 1000 kfI for p-channel performance

Poly

circuit

the

value

to Metal

over

or ground).

each vary

Metal

practical

VDD

experiment

ceases

number

I0,000

resistances

short

a selected

i.

is noted

for this

with Elements

is precharged rail

49

No. Elements

gates

to the

short

CHIP

Example

The

transistor rail

TEST

defects.

to a great

5O

CHAPTER

Table

2.12:

Priority

M62Z

shown

listing

in Table

of likely

defects

for

shorts

Poly-Poly Metal

geometry

the

A major models

shorts defects

110

n-type

Gate

Oxide

defects

833

p+ Poly/Metal

contacts

20

n+ Poly/Metal

contacts

54

p+Diff/Metal

contacts

n+Diff/Metal

contacts

current

drive

of the

experiment

accomplishment

on the

Fault

Chip

Testing

vacuum

Chips

on the to chip loaded

pump stage

with of the Fault

prober,

to hold prober.

automated Chips

Slotted-Chuck

The

of the circuit

in Figure

and

MIN

the

faulty

transistor.

composed

The

of minimum

has

development

range

of the

Chip,

and

is used

Fault

wafer

2.28.

To aid

prober in chip

and

it is possible

testing.

and

of fault

fault

models

to simulate

Figure

for testing.

the

was chips

to move 2.29

The

parametric

testing

Slotted-Chuck

Slotted-Chuck Thus

is the valid

of interest.

a special

the

ready

gold-plated, brass plate with mm wide slots to accommodate The

< -

gate

period

by our automated

a wafer wafer

report

structures

shown

is used

for extended with

PAC

are tested

system,

Chips

driving

as SPICE.

defects

Fault

the

such

of these

acquisition

1

circuitry

of this

simulators

from

Fault

MAX

p-transistors.

the

The

< -

153

is a transmission

is derived

2.2.13

Priority

40

Oxide

for circuit

effects

Run

< 304

Gate

n- and

and

< 301

opens

p-type

in this

circuit

SETS

< 52

opens

wire

Metal-Poly

on

CHIP

< 77

shorts

wire

Poly

used

example

Estimated

Metal-Metal

driver

the

TEST

2.9.

Defect

extent

2.

shows

of unpackaged developed.

in a fixed

the prober the

Slotted-Chuck

data

from

two

major

design

revisions

chip

Slotted-Chuck is a circular,

a five-inch diameter, a 75 mil thickness and 48-7.1 mm :_ 7.1 mm unpackaged chips.

undergone

A

location

during

3-7.4 its de-

2.2.

FAULT

TEST

CHIP

51

G

B

O--

B

:

G

O

bulk -- 10=V_0_

NMOS

FAULT

MODEL

(NFAULT)

*FAULT MODELS OF THE PINHOLE

velopment Chuck moved.

Figure

2.24:

period.

The

ARE DERIVED FROM ARRAY CAPACITOR

Fault

first

models

revision

to alleviate a problem with The second was to reduce

to ensure

proper

After

the

vacuum

chips

prober,

we manually

location

information

the

PMOS

are

was

strap

must

determine

be worn

2.2.14

Future

The

Chip

Fault

debugged Contact The

and Chain transistor

devices.

the

weight

of the

Slotted-

the Slotted-Chuck sliding when the stage was the diameter of the vacuum holes to 10 mils

on

the the

computer

test procedures to locate and Note that to avoid electrostatic

wrist

RESULTS

p-channel

to reduce

{PFAULT)

achieved.

loaded

in the

MODEL

THE EXPERIMENTAL TEST STRUCTURE.

for n- and

was

FAULT

during

Slotted-Chuck location

of the

memory.

This

and

placed

chips

and

on store

information

and

unloading

of the

wafer

the

is then

test the structures on the chips. discharge and oxide breakdown, loading

the

chip

used

by

a grounded

chips.

Work

is in the

process

are fully functional Matrix Structures. matrix

structure

of development. except

for the

is designed

AII test new but

structures

transistor

not

yet

matrix

implemented

have

been

and

the

in sil-

52

CHAPTER

2.

TEST

CHIP

SETS

5V

D (- T

OUT PRECHARGE

Figure 2.25: Circuit n-channel transistors.

B

$

OUT

i I i

I I

I I

,/'

I

I

I

I

I

I

i

I

,_

I

I I I

/IDELAy_I / 14"_LL_ I I I

I_

_,.

IX I I

I ' t_

i I

! •

/_v

I

I

I IDLE

I

' V1

D

IOPF

I V2

G

I

',_

i_v

configuration

I

,

I

,,\

I I

N FAULT

and

ENABLE

timing

I RESET

table

I

used

for

simulating

faulty

2.2.

FAULT

TEST

53

CHIP

5V

p EAULT

)

D

.OUT

_v __---Z'r---li v2

I

L.F}

_

w ;, Vl

OUT

Figure p-channel

2.26:

Circuit

transistors.

I

I

, /,

I

I

I

,,

I

I

i

I

I-_ 2v

I/

i

I

, ,

I

I !/

!

I I PRECHARGE

10PF

I

:

' ;

I _._,._2v I DELAY" IDLE

I

i I

PFAULTENABLE

configuration

and

I

timing

Y I

RESET

table

I

used

for

simulating

faulty

CHAPTER

10 6 "

_'

'

I

'

1

,

I

'

I

'

I

2.

'

TEST

I

'

I

CHIP

SETS

'

10 5

-

I

cc

0 z

10 4

_J

o
ta_ INDICATOR

"--_'_ )

jf j .,I--

Figure signals

3.11: Timing sampler and an on-chip timing

delay measurement sampler.

which

utilizes

two-step

input

3.2. TIMING

the

SAMPLER

START The

and

STOP

timing

on

who

the

When

previou_

case,

An

feedback are

the

operator

electronics

and

point,

used

improved

method drift,

sampler

timer

(timing

sampler

control into

that

is read

corrects

value

3.11

waveform

is connected

the

measurement

the

are

cycle.

resolution

t_, values

of tin for

of t,,.

In

applied

in

present

cycle.

implemented

with

generator.

for unknown

cable

another

the

an

If t_, < td

adjustment

and

of Figure

timing

cycle.

starts

in the

ti,

illustrates

(within

output)

the

to adjust

3.11

to obtain

be used

console the

tin and

tm converges

can

unknown

element

the

needed

Figure a timing

increases

cycles,

in determining and

ta.

initiates

algorithm

value

information and

and

operator many

incorporated

calibration

timing

this search

the ti,

delay

the

over

At

td.

cycles

Generally,

provides between

input

then

A binary

the

previous

zero

cycle to

of ta.

the

adjusted

timer)

value

output

difference

presets

properly

of the this

the

77

pads.

sampler

so as to reduce operator

ARRAY

input

delay

delays,

etc.)

is shown

to the

input

and

errors

in Figure

output

of the

(due

to

3.12.

A

ta-delay

FEEDBACK

i I E--I

TIMING

,C CH,p/WAFE_ "-]

STOPI

-

t Figure element. that

3.12:

The

input

is subtracted

element

tao,t.

Differential timing from

This

the

differential

ta = tao,,t - tdin.

An application

pad

pad

Figure

driver 3.13.

and The

delay

receiver

delay

measurement

sampler delay

is used obtained

technique of this delays

is measured

technique and

to

the

timing

measure

from

yields

when

with

a baseline

the

output

an accurate to the inter-chip

the feedback

sampler.

timing

measure

measurement delay select

delay

tdi n

sampler

of the

delay

of on-chip

is illustrated

switch

is in each

in of

78

CHAPTER

_o

D

I_ J

3.

TEST

__-_

START [----

t RECEIVERJ

GENERATOR L Figure

3.13:

Measuring

FEEDBACK inter-chip

STRUCTURES

delay.

3.2.

TIMING

the

four

is the

positions. delay

positions and

SAMPLER

The

of the

2 and

between

1 output

3 measurements

pad

delay

as

sampler

one input C-element

occurs before a transition is a circuit that behaves

be

constructed

when

from

2 or 3 of its

output

as shown

digital

OR

C-element

when

C-element

or negative

measurement

The

setup

using

phase

C-element

places

will trip,

input

of resetting

the delay

and

to node

then

transition

delay

the

out

01.

the

output by

the

towards high), B both

static.

the

a

of a 2-input 3.14.

measurement

of positive

are

shown

phase

arming

in Figure

and

a measure

state.

In this

state

when

B. The

setup

the

A input.

to traversing of Figure the

output

state,

consists

For

positive node

For

delay

00

negative

to traversing

is sampled

the

a transition

through

input

3.15. phase.

phase

3.14.

corresponds

includes

C-element

like

for the

to change

phase

phase

through

period

(tin)

to see if it changed

when When

to the

MOSFETs

when

leakage

action

p-channel

paths

of the

capacitance

connected

n-channel

VDD

for the C-element is illustrated from a 3-input majority gate,

memory

C. This

inverter

towards

low).

measure

of Figure

The

and

of positive

diagram

the setup

The

capacitance

ground

transition

hysteresis. is low

measurement

input

then

is the

in the

is equivalent

CMOS implementation circuit is not constructed

of an

and

where

and

to the

that

behavior

an initialized

on

3 inputs

device

output

sampler

into

this

of the

is high

tin > td).

is not

capacitance

The

digital

the output

output the

The

of a setup

to a transition

10 on

period

A practical 3.16. This

vided

prior

causing

on

output

displays

its

diagram

timing

C-element

measurement,

(indicating

ure

the

whose

one

when

diagrams

3

if a transition

is a bistable

be used

consists

measurement,

11 to node

and

cycle

C-element

transition

can

Timing

thereby

A occurs

transition

a C-element

timing

state

its output

gate

is high.

sampler

delays.

since

positions

input. A 2-input Muller The Muller C-element can

connecting

AND

between

Sampler

(a circuit

circuit

trigger

by the

timing

delays

The

by

between

receiver.

changes

gate

This

its output

transition

transition

high)

as a 2-input

gate

output

2 measurements

difference

and

2 input

on the second in this manner.

3.14.

is characterized

The

state

are

of a Schmitt

behaves

2-input

node

inputs

delay

delay,

chip

majority

1 and

The

a Timing

whose

a 3-input

in Figure

equivalent

C-element

on

is a circuit

position

inter-chip

of the

C-Element

A timing

the driver.

is the

it is the

Muller

79

difference

chip

4 measurements

3.2.3

ARRAY

are

C-element

primarily output nl

and

neglected,

The

n2 are

MOSFETs

Pl

the

function

consists

node.

and

output

in Figtherefore

of the

output

on

is pro-

(A and P2 are voltage

input

is driven on

B both (A and remains

CHAPTER

8O

OUT

3. TEST

STRUCTURES

OUT

=

IMPLEMENTAT ION USING A 3 INPUT MAJORITYGATE

LOGIC SYMBOL

/-- NODES LABELED __

/

OOA_---.L---_,_O! / _k_O J/'l

011 Ol NC_

WITH INPUT (AB) _

"X _

II

)

BRANCHES LABELED WITH NEWOUTPUT

NC -- NO CHANGE

I TRANSITION DIAGRAM Figure

3.14:

Two-input

Muller

C-Element

as a timing

sampler.

3.2.

TIMING

SAMPLER

ARRAY

STARTo._,,-

STOP

tin_Vol

STATICCHARACTERISTICS OFSTATICIZER

5 _"

Vi2 _:,_

Vo2 _

DYNAMICCHARACTERISTICS OFSTATICIZER ...........

_........

Vst = Vinv = 2.12 VOLTS

4

0

3 it

•-. 2 _-; _i

2

>

..............

: Vst

1 !

o

i

2

3

4

5

0

20

40

Vil= V02 (VOLTS) Figure

3.17:

staticizer

consists

mission

gate).

switching

of an

When

the

threshold

element a long

Restoring

coupled to change

state

(metastable) is approximately

nodes. until

point

pair

the

staticizer

week

output

circuit

mutual one

can

exclusion

is off balanced transistor

with

feedback this

node

remain

exactly

be connected from

threshold

channel

output

the

the

feedback

nondigital

to Vu), to the does

its switching (11701 -

trans-

above/below

through

can still

circuit

a staticizer.

(long

V_l to a voltage

if Vii is initialized

staticizer

by at least 1 volt).

with

C-Element

will drive

exclusion The

of the

initializes

staticizer

(indefinitely

mutual

output

level

C-element The

of time

transistor

staticizer

logic

inverter

V,,t, the

to VDD/ground. period

the

60 80 I00 120 140 TIME (NSEC)

for

so a cross 1/-ol and not

Vo2

begin

threshold

Vow] > Vth which

CHAPTER

84 This

additional

a source

follower,

this

analog

dither

is used

approach

tested

array

circuitry to drive

is used,

as it can with

A parallel and

staticizer

digital

3.18).

C-element

timing

TEST

STRUCTURES

if an analog output

sampler

buffer,

voltage

off chip.

measurement

loop

such

as

When will

not

feedback.

of C-element

(Figure

is unnecessary

the

the

3.

timing

Although

samplers

a series

has

connected

been

designed,

array

fabricated,

is preferred

because

---_E_Y CHAINL28J_____

128 ----_- I MULTIPLEXER

OUT

-.._ DELAY CHAIN3 J )--- _(!!_,__

H,,

When following

rising

delays

to the

whereas the second and to the fact that (Hp

edge

feature

the

be attributed

node

to falling

3.

than

inverter

the

failing

input

for

edge

Cp

a given

delay.

pair,

as a load

sees two inverter inputs as transistors are slower than

differences

denominator

is that

of each

which

This drives

(fanout

= 1),

a load (fanout = 2), n-channel transistors

in mobilities).

the tau model is applied to the loaded inverter rising and falling edge delays are obtained: 1

Awa

pair

of Figure

-

Awb

t_f = Hj, L2[1 + -r + rW-L ] + H'L2[f(1

A_a. + r + _{

tdr = H,_L2[1

the

3.20

inverter

STRUCTURES

3.22,

the

]

+ r) + WL'

1 + r)

+ Hpi2[f(1

Awb ]

+

where - Ap._C'p + A._,_C L + A,,_C_ Cwb Awb

--

-

C*o_

t

Cp

L = Ln = Lp = Lo -

ApbC_

+

C"

C._ Cg_'

AmbCtm

A L,

+

AdbCld

, Cd

Cd Coz•

W = Wn = Wo -

AW

and Wp = rW,, The

interstage

wire

capacitance tance

Ap, A,_,

and

(Lo/Wo)

using

primed normalized sionless. written has

been

the

where Aa are

by the

metal

areas.

capacitance Both

is divided

C_, C_,

AL/AW oxide

of the

C_,

C_,

capacitance equations

units

and

as linear

equations

in l/W,

used

to fit the

as-measured

to the

electrical area

inverter

where data

above

unit

delays

rising

and

capaciarea

and

lengths/widths (L/W).

equations

C_,, = eo,/To_ pair

polysilicon

diffusion per

as-drawn

(W = Wo - AW). for

the

lengths/widths

C_ in the

per unit for the

and

the

of capacitance

are made

the true

components:

(A,,_C,_),

C_ have

Corrections

w./L. ......

into three

capacitance and

to obtain values,

Wp/Lp

c-.- c}:Lwo: ",

capacitance

(ApC_,),

(A_C_),

Cp _ C_,,LWp

'

have

and

been

are dimen-

t4f and A fitting falling

The

t_, can

be

procedure

output

edge

3.2.

TIMING

inverter

SAMPLER

pair

delays

Lo, Wo, r, f, values

(tdp and

Ap_, A,_,

for H,,

Marquardt

Hp,

ta,

Au,,

AL,

algorithm

!

AW,

=

rising

t.5_m

ratio

=

i

5O

in doing

Hn

=

0.0157

Cp

=

0.063

0 Vdd

fanout ,HD.= Cm

C_.

this

i

edge =

and Adb to the

!

l

Zarnbda

in Figure

Up, C,_, and

used

i x

as plotted

Apb, A,_b,

was

S0

89

ARRAY

The fit.

falling

=

5V

=

2

model

equations

finite

the

parameters to obtain

difference 3.23

i

Levenberg-

shows

the

results

i

edge L=11.72 _/^

0.0284

=

and

Figure

I

=

3.20)

//

0.253

Cd

=

0.233

/

Je

.c 4O DELTAL

=

0'281

__

0J o L 30 n c.

"220 > c

10 L=2.72

0 .06

I

I

I

I

I

I

0.14

0.22

0.30

0.38

0.46

0.54

I/N-CH

Figure

3.23:

L are

in units

of fitting

the

is plotted from the

Timing

the

and

raw data

against

1/W.

C_,

C'

The

where

equations. lines

using

has

data

Width

0.62

[1/#m]

H is in units

of ns/#m

2, W

and

is dimensionless.

fits the data however,

Effective

fitted

to these

equations

plot. The tau model

parameter

sampler

of #m,

model

Transistor

drawn

the

very an

In this

figure,

through

the

extracted

the data

parameters

well considering unrealistically

inverter points

shown

its simplicity. high

value.

For

pair

data

are

derived

on the

top

The

extracted

the

particular

of

!

layout

of the

timing

sampler,

C_

should

be less

than

C_ and

Cp.

The

values

extracted for the three parameters C_, C_, and C_ are not accurate in a physical sense because the changes in inverter pair delay due to the differences in metal, polysilicon, very

small.

and This

diffusion presents

capacitance a problem

from

one

in the

inverter separation

chain

to the

of these

next

parameters.

are

90

CHAPTER

Another

cause

capacitance

was

3.2.5

problem

not

is that

accounted

the

periphery

for in the

timing

peatable

sampler

is a compact

measurements

ring oscillator

external wafer

approach

inputs

coaxial

STRUCTURES

component

of the

aspect

The

delay

used

to characterize

of the data

circuit

3.3

proper

timing

from

gate

designs

over

the

high

wafer

and

with

direct,

the

tau delay

of some

special

outputs.

Only

two

card. it can

to accomplish Another

posi-

be multiplexed.

sampler

array

geometries

can

be

employed

in

model.

Structures

Introduction

The design rules, which are related to the spacing not adequately tested by the common parametric split-cross-bridge

resistor,

deficiency,

of very

a set

contact

3.3.2

Structure 3.24

shows

resistors,

simple

CRRES fabrication run. based on diode breakdown

between different test structures

transistors,

structures

was

etc.

developed

These structures, which use voltage, are termed collision

layers, are such as the

To overcome and

differences

for

the

only two pads test structures.

and

are

Geometry the

between

between shown

source-drain

this

tested

geometry

of the

collision

structures,

with

a cross

shown of each. The distance d was varied from structure to structure. case, d represents the "as drawn" dimension. It should be noted that

region'

of to

is easy

timing

re-

amenable

this

of device

and

limitations

is also

probe

which

compact

a range

circuit

speed

on the

ease

a single

delays

using

no

terminations is the

fast,

measurement

are

to the

allows

It overcomes at the expense

delay

there

sampler

obtained

that

delays.

measurement

to be applied

and

structure

sampler

because

Proximity

3.3.1

vary

diffusion

model.

circuit

to delay timing

need

cables

tive

typical

The

measurements

speed

using

test

of on-chip

hardware. level

high

Figure

TEST

Conclusions

The the

of this

3.

devices in the junctions

fabrication

processes,

manufactured cross

by different

sections

of a MOS

the

refers

transistor.

to

actual

physical

section

In every because of

dimension

fabrication

houses.

The

a thin-oxide

region,

such

d could 'Active as

the

3.3.

PROXIMITY

.....

STRUCTURES

91

°°,°

P-WELL

PAD

PAD

TO

TO

PAD _

TO

I ACTIVE

[]

METAL

i._i

P-WELL

El

ACTIVE



CUTS

:':

p+ DIFFUSION

ACTIVE

ACTIVE

,,.

Figure and

3.24:

Collision

diffusion-to-diffusion

Test

Structures breakdown

for measuring voltage.

p-well-to-diffusion

(active)

92

Table

3.2:

Diode

breakdown

voltages - Diode

- Spacing-

p-Well

lambda 5

diodes

3.3.4 These turer area

p-Well

Voltage

to

p+AA

n+AA 48-50

Test

Structures.

(Volts) to

-

p+AA

n+AA 33-34

to

6.0

8-15

49

33-34

34

2

3.0

0

35

32-34

33

1.5

0

31-49

0

0

-1.5

0

27-0

0

0

p+AA

--

p+

doped

active

area

n+AA

--

n+

doped

active

area

Experimental

sulting

Collision

STRUCTURES

4

Notes:

of these

of various

Breakdown

TEST

p+AA 48-50

1

A set

3.

/zm 7.5

-1

3.3.3

to

CHAPTER

Results

structures measured

p+AA 33-34

was fabricated by applying

and

the

a reverse

breakdown

bias

voltage

to the junctions

of the (Table

re3.2).

Conclusions structures

offer

a very

can comply

with

the

and

well spacings.

rules

that

can

could

establish

be met

simple

agreed

It also by wafer

a set of rules

method

upon provides vendors.

for this

of verifying

that

set of geometrical a means Based

particular

design

of determining on

the

a wafer

above

manufacturer;

manufac-

rules

for active

a set

of design

test

results,

see Table

3.3.

one

3.3.

Table

PROXIMITY

3.3:

Design

STRUCTURES

rules

93

_

for manufacturer

as indicated

by

Collision

tures. Design

Rule

Name

Design

Rule

p-Well

to p+Active

Area

8.0/_m

p-Well

to n+Active

Area

7.0#m

p+Active

Area

to n+Active

Area

3.0/zm

p-t-Active

Area

to p+Active

Area

3.0/zm

Value

Test

Struc-

ORIGINAL

PAGE

IS

OF POOR

QUALITY

CHAPTER

94

3.4

The

Split-Cross-Bridge

3.

TEST

STRUCTURES

Resistor

IEEE

1572

IRANSA('II()NN

{JN ELI_CIRt)N

DEVIfZI_S.

VOL

ED 33, N[)

IO. O(I()BER

IV8b

The Split-Cross-Bridge Resistor for Measuring the Sheet Resistance, Linewidth, and Line Spacing of Conducting MARTIN

Ab_IrocI--A spacing

new

bt'tween

measurement measure

lest

ing

laser.

ture

_a_

Th¢_e

I.ising

an

value

measured _ alum.

pileh

ing

_alne_. on the

sured

and

are

results

line

lir_

pre_nled

sheet

confirm

is used

_paring

sheet

resistance,

electrical

mea-

lest

Iine-

_tructnre

techniques

a

measuring

described

here rules

be

quickly

used and

to

of on

an

parameters

cross-bridge resistor.

linewidth

elec-

based

the

designed

techniques

can

of

extension is

which

split-cross-bridge

measurement

an

re-

Alternative

and

spacing

121.

The

evaluate

are test

based Fig

structure

I

Spilt crl_ss line spacing

integrated-circuit

accurately.

°r

the

spacing is

in

specially

measuring

and

technique

the for

visual

line

approach

I I I measurements

from

termed

j to

and

The

measurement

layout

abe

approach

linewidth,

determined

on

the

resistance,

I[)N

an

lines.

resistor

sis,or,

_ature

between sheet

designing

INTROI)U('I

describes

conducting

cross-bridge

are

for

designed line spac-

_elf-cbecking

difference

to validate

Rule_

and and

in detail.

PAPER

trically

_lructure's

i small

values.

I. HIS

the is,

the Most

of Ihe

linewidlh,

Thai

thin

layers.

Ihe me=sured

pilch

the_e

Ihe optical

I/¢reent

between

line

struc-

2

resistance,

pitch.

designed

and

difference

HERSHEY

to

metal

within

W.

layers.

and

greater

and

were

Ihi_

u_,ed,

micromeler

pc_13,_ilicon valne_

CHARLES

cnnduct-

metal

rlectrically,

lecrhnique_

_.ND

line

used

of the

and

IEEE,

electrical be

prt_ess,

sili_nn

the

the

an

also

pitch

and

one-quarter

pitch

Io validale

Ue_l

based

_idlh,

A _mall

i_ u_ed

using can

fabrication

ftDr the line

by

rand line

For

typically

measurements

electrically

MEMBER,

ft_r evaluating

layer structure

i,plieall)

compared.

_ere

ele_lrieal

lint

_ame

pcdycry_lalllne

measured

were

mei_urelneJil_

developed

the

linewidth,

in difru_.ed _ere

BUEHLER.

compact

inlegraled-circuit

fabricaled

measured

_a_

on This

re_i,,tance,

_lru_ture_

designed

_trncture

conductnrs technique.

the _heet

G.

Layers

The

technique

bridge S. and

re_islor designed I_1 evaluale Ihe sheel resistance R, _la conducling

by

polycrystalline form

of

critical

silicon, these

test

To

illustrate

are the

Was polysilicon

is

resistor, the

the

lower

Manus,:rlpt The authnrs of Techn,dog3,. IEEE Log

in

Table

I.

evaluate The

in

spacing

structure is

a

upper is

a

split-bridge

December Ig. 1985. revised the }el Propulsion t a_ralol_y.

1

CRITICal.

G_O_ETrlC_L

DIIdENSIONS

ANI) V_'II _AGE TAP

ERI_ORS (E_)

the Fig.

I,

between resistor

The

RESISTOR

their

consider

line

SPLIT-CIIo_,S-BRI[XII_

The

1 and

split-cross-bridge

middle

Pasadena. CA Number 8610062

Fig.

shown

the

metal,

layers.

principle,

structures.

structure

re°e,red are with

shown

in

in

silicon

resistor

to

three

structures

diffused

listed

lines of

test

measurement

designed

combination

and

and

split-cross-bridge

which

cross

14

structures

dimensions

polysilicon

two

fabricating

½'.

was TABLE

demonstrated

linewidlh layer

structure bridge

is

a

is

a

resistor,

resistor.

The

May I. 1986 California Instilule

91109

0018-9383/86/1000-1572501.00

% - _0

_,

% " a'_

_"

bridge

resistor

Wh

=

2W

has +

ducting

channels,

fective

width

©

S.

single

IV,

IEEE

conducting

channel

split-bridge

each is

1986

a The

=

resistor

with

a

2W.

The

width line

of

of has

W

spacing

so

width,

two that S

conthe

is

ef-

deter-

ORIG/NAL

P,_E;

i3

OF. POOR QUALllV

3.4.

THE

SPLIT-CROSS-BRIDGE

95

RESISTOR

1573

BUEHt_ERAND HERSHEY SPI.IT.CROSS BRIDGE RESISTOR

mined

by

(W,

=

2W

q S)

subtracting

2W)

II. the

are

ships.

by

from [3[,

is designed

the

potential

/, passed The

=

out

rectangular

the

into/t

voltage

taps

be

In the analysis,

using

the

and

this

simplified

is - r _1 -",llt,_

van

S =

the -I I --

Yh is V,

-

The

=

2W

between

specified of the

the on

is determined

width

1b1

the

from

split-bridge

R,L,I,/V,

Fig ] Cross sectional diagrams of two diffused layers formed (a) b:, a uniform oxidation, diffusion, oxidation process and (b) by a local-oxidation, diff'asion, oxidation pt_ess where crmcal dimensions are tndlcaltd Intermediate surfaces a_e shov, n by dashed lines

(3) measured

where

the potential

/, passed voltage that can

Ii and

into taps

difference

is L_.

Note

no significant be

The

taken

S = where For

Wh -

and It, =

the

design

expression

the sheet

resistor

that

The

magnification

as their

general

V, is V4 -

Of I_.

out

IV', =

distance

a current

between

above

equations

occur

so that

line

size

the

require Lb and

L,

-

is

L,I,

features

during

eral

from

(4)

I and

Lt, =

L, =

R,LI(V,

-

[inewidth

ingI,

=

is calculated

landL,

=

by

and

line

P, =

W + S =

Thus, uate sheet

the four

R, LI(2V,

-

split-cross-bridge critical

resistance,

S,

is

A

physical

linewidths

line

MEASUREMENT model

and

spacings

the

visually

was

)inewidth

and

wafer.

spacing

of a layer

on a fabricated in the location

as

determined

made

on

mea-

wafer. of a feature

from

visual

measure-

photomasks

and

fabricated

the

difference

in

edge as determined cal measurements

can

(7)

be

used

to

layer,

and

line

and

relation

that

these

2 illustrates

the

location

of

from visual on fabricated

silicon

(poly)

layer

where

served

on

wafer

(W,

(Wp)

on

the

features

poly

layer.

point

in

layer.

the the

the width or

photomask.

at the The the

parameters

the fabrication

i.e., pitch.

compares

or wafers

among

3. Fig.

eval-

INTERPRETATION

developed

of a feature

a fabricated

a feature

and electriwafers.

(W/2)

spacing,

of photomasks

spacing

on

wafers. is

arbitrarily Ill.

linewidth

sured electrically is the difference

is determined

of a conducting

linewidth,

the

parameters:

assum-

V_)/(2Vbl/O.

resistor

parameters

deposited

requires

ob-

The =

of

model

and

(6)

Wh -

features

The

lat-

is the

ments

features

of

of

etching,

W_,, S,_

edge

P, between

or lateral

fabrication.

to a

shrinking

ob-

L

pitch

coating

and

The due

and spacing of a feature on a photomask.

X the

linearly

bloating

making

eight

techniques.

is the linewidth served visually

(5) (3)

as the

the

served

modifying

electrical or contract

Wp. St,

L. then

W = R, LI/(2V,). Finally from

and

of the following

V The

such

wafer

during

the cross

Vb)ttVbV_)

or

expand

photomask

diffusion,

W,, S =

visual

may

of factors,

use

Vb)I(V_V ,)

R, is determined

either

number

(l). 1, =

by

of a feature

layers spacing

e,(Lb/hV,

resistance

V5 for

values. for

-It7

V_ for a current

distance R,

tt

(2)

is the distance

(I). from

from

R_LhlJVh

resistance

W, =

t])

is determined

of 1_. The

which

the cross resistor and resistor is determined

s_ -'t, $1 -rl _1 "r,lt _

a current

expression

+

out

sheet

2>

resistor

difference

The

ta)er

ig-

of l F

2W

and

is Lh,

photomask.

can

V, is VL -- V 2 for

resistor

potential

Ih passed

-

Fig 2. Cross-sectional diagrams of a p.)lycr_slalltn¢ (poly) qlicon and a photomask where critical dtmenMons are indicated.

for geometrical

is needed,

tV.-/I,)tT/In

of the bridge

w h = where

resistor

lltcm

relation-

section,

properly, layer

difference

into I T and width

idealized

measurements,

14] equation R,

where

in a later

cross

(W h =

idealized

are uncorrected

R, of the

the

tLU$

resistor

resistor

electric_al

following

as discussed

resistance

Pauw

the

split-bridge

bridge

TECHNIQUE

three

relationships

calculated der

requires

if the structure sheet

of the

of the

MEASUREMENT

which,

nored

width

width

illustrated

These

errors, the

the

technique

which

the

from

base

length

of

The

visual oxide,

width the

ofa

layer

than

width which

2

W,,

describing

ob-

the width is shown

surrounds

IV, is shown

trapezoid

in Figs.

polycrystalline

of the poly

W,,) is smaller

of the

electrical

is shown

at

the

the

mid-

the

poly

96

CHAPTER

1574

IEEE

TABLE CfyMPARI'_ON

OI

tRANSACTIONS

ON

3.

ELECTRON

DEVICES.

aND

Fig

4 due

The to

crn,r

shot1

in

: _vaF

eq

Keeping

the

2)

As

oxidation,

illustrated

planar

lateral

diffusion

and

the

reversal

of the

W_, and W,

-

W+ (line

2 (line

pitch).

smaller

than

larger

than line

spacing).

For

spacing. pitch,

formed

+

the

V and

that S,.

have

is the lines,

in photomask

be used

S were

correctly

value

between

and

or

IV, is

apply

significant

in Table

it can

distance

is.

are

kind

be

IV, +

of edge. the is not

and

processes

because

both

to verify

provided

that

be

the

by

edges

ruled

design

are

out.

then

values

for

test

in pitch)

occurs,

then

L,

the distance

the voltage

a change used taps

for must

L_, and be

and

were

equipment.

and

measured-visually.

+

W and

parametric

the

the photomask

not

W,

cro_s error

cqualion

resistor

that

If these

[5,

are

follows

rules

in Section

are

II can

accurate was

are

fol-

be used

within laid

one

per-

out

squares

at

that

in Fig.

two

angles.

calculated

accurately

expression

a detailed

analysis

of this

is shown

is slightly

[see

by

in Fig. than

less

4

the

from

The

true

the

This

structure

rule

idealized

rule

141;

#1

be at resis-

follows

the result

R, as calculated

sheet

80-

equal-width

Design

(I)).

it

N is

I, N =

separated

from

right

so

151where

array

As illustrated 80-#m

is constructed

of

from R,,

resistance,

as

by R_ =

where

E]

curve

in

is the Fig.

R.(I

geometrical

4,

the

#1 requires

-

E_)

error.

error

for

18)

By

A

>=

extralx)lating 2Wis

to the split-cross-bridge that

A >

tion of the structure.

or

are af-

features

Greek

get_melrtcal Pau_

the

seen

to

be

negligible.

linear

shrinking)

given

intersect

be

As applied

by be

resistance

given

two

on

(or

R_ to

sheet

the analysis

not

implemented

cannot

tance

example.

affected

resistor

IV,

of

der

requires that the length A of each arm of the cross least twice the arm width W in order for the sheet

in

between

edges

the

the

van

the

rules.

integer.

pads

that

from

line fea-

S, are

For

left

(bloating

can

that

distances

features fashion

seen

tr_m

ehrninales

a 2 by N probe

positive

cross

to

II deserves

means that the measure of the

That

between

this

correctly

magnification

table

they

If magnification

measured

layer,

are

St,. This is a direct

same

identical

S, can

sign

+

photomask

fabrication in an

magnified.

IV,/

of the layer

comments

listed

X because the

changes fected

Similar

the

distance

parallel by wafer

The rectangles

a diffused

resistance W

from

resistor

with

the probe

quantities

(I)

From

on

by

features

an arbitrary

quantities:

IV, is larger

2

split-cross-bridge

#m spaces.

in the table.

sheet

>

design

results

is the sign

W_,

'k \

split-cross-bridge

to obtain

be probed

derived

discrepancies

$o = Wp electrically

1g1¢6

CONSIDERATIONS

the

equations

4, and

and

W b -- (W,/2),

discussion.

OCTOBER

|1

Ihe

DESIGN

of the

structures

(linewidth),

for

2X.

Such

+ S,. = W,, + pitch measured

affected

+

could

processes.

line

special

W,

2V

I0

cent.

measured

three

on the nature

example,

IV,, by

manufacturing The

be seen

poly

structures

The

with

W,12

As can

formed.

tures

X terms. along

IV, or W e depending

being the

V and

W, are shown,

and

tTr

re_i_lance

geometrical

then

The

metal

for diffused

four

directly

a fraction

among the eight paramNote that the difference

for

design

lowed,

IV, includes but

The

as well.

equations

equations

Nf)

11) t

from

process.

width

diffusion

relationships in Table II.

upper

the lower

of the

by

process

oxidation

the electrical

region

The mathematical eters are illustrated between

3,

portion

layer

oxidation

diffusion,

in Fig.

the

of a diffused

diffusion,

a local-oxidation,

not only of the

formation

A

,heel

IV.

or by

ED]3,

I w/u2L

al

measuring

arms

+n calculatin_

I'1 a uniform

STRUCTURES

SP_(INGS

II

either

QUALITY

]l

[ANIwlDTHS

the

OF POOR

VOL

11 _ Isl II

3 illustrates

PAGE

TEST

II

Fig.

ORIGINAL

If

the de-

Wb) rule structures

in a CMOS

The

a suitable sistor

A/W_,

and

constructed two

places

design

ratio

following

rules

the

to

A > =

lateral

to

be considered.

design

rule

bridge

por-

than

A

diffusion may

(such have

as a p-welt

errors. to both

the bridge

resistor.

Bridge

resistors

oftbe

> =

to calculate

applies

a conducting the length

and

the design of diffused is a factor. Ira structure

minimize

split-bridge

cross

2W_, (rather

the designer

discussion

from along

the

to include diffusion

large

process),

resistor,

2W;, for

was chosen wh¢re lateral

has an excessively

The

=

channel

that

channel. They

include

reare

is tapped

There

in

are three

the distance

iS

ORIGINAL

PAGE

OF POOR

3.4.

THE

SPLIT-CROSS-BRIDGE

BUEHLER

AND

HERSH[_Y

SPLIT-CROSS

iS

QUALITY

RESISTOR

BRII_IE

97

RESISTOR

1575

_v t

_i

,

7,//

O_

|

!



,R/ll

11 6

Re_or

model

o!

uhc

br}dge

duced

Design

rule

the current 0

O1

17

_A 5.

The

tO

error

m

measunng

pc_orballon_,

in

Ihc

lh¢

line_idth

channel

Imm

current

a

flay,

at

briog¢

the

sti_cturc

v_dtage

due

lap_,.

tap

rately

from

sion

and width

the location width..

of the tap

Design taps

of the taps,

rule

#2

distance

L between

the

channel

width

This resistor

(W

is much

larger

dicates taps

is

that

its

D of the

large

(W

that

so

that

from

the

= R,L/R).

of the

is calculated

the

results

161 where His

of a bridge

[6.

of the

eq.

between

the

resistor

The

tap for

error

In(I

D/W

voltage

and

(D/2W}

(D/(2W)):)I.

=

(10a)

is

an

as calculated tion

(see

The of the rical

from (lOb)),

distance

From

L

( 10b)

the

this

voltage

taps

and

D is

expression -

W,/(I

error

E,3

taken

as the L_ =

error

this

(ti)

less

than

errors for

split-bridge

layer, one

The

half

but of

allowed for

for

1 percent.

this

resistor

the true reduce

equation

much

longer

that

equation.

The

parameter

"'g." current

(12)

(W/gD)I

(13)

that

than

equa-

width

For

the

voltage

where resistor

The worst

errors case.

W,. taps

design by

structures taps

L_ =

I,

E2, is the

are worse the

inwas

error

for is

rule

for

from

a discontinuity Fig.

7.

sity

J(x)

(W

The

in

=

width

a detailed

analytical the r-axis

is

the

requires

means

that

the

larger

than

re-

which

should

taps. of a voltage a change

W to be

to the

applied rule

allows in the

of current channel

161 for

tap in the

calculated

As

of the

expression

shunt

channel

analysis

width

to

from

shown

ap-

indicates

rectangular

1, this H,

good

edge

width

is

confor-

rule

0.18}. the

the

R,L/R). Fig.

This

g

that

H h and

in the

along

2D.

=

channel

=

serves design

I 1. I times

tap

from result

is

uncorrected

distances

follows

HaWs

the

is a very

tap

> =

where

This

The

channel

the

shown

the

from

derived

0. t8.

to terminating

the

expression

tablish

G G/D

requires the

from

was (13)

=

(G*/D

due

twice

cross-bridge

a value

_f E_ versus

I (DJ2W)

case

of the

length

#4

width

gD.

{14) the

channel.

model

rule

tan

and

g

for

errors

accurately sistor

160 tun

in Table and

the

=

finding

a plot derived

Equation for

main

tap

quired

to

fraction

the

requirement

channel

by

G*

(D/(2W))")I.

width

(14)

design

be located

+

its

a small

Design

evaluated

expression

theory.

from

the

where

is applicable

to

only

is G*

= t2/r)[(D/W)

In (I

mapping

current

W,

the geomet-

the

E 2 are listed

the bridge resistor.

even

of

that

of the voltage

to

amount. width

width

error

than width

chosen

the

indicates

rectangular the

were

minimum

This

larger and

study,

140 ,urn.

for the metal

idealized

is slightly

E:b is the

the

width.

to an acceptable

in

where

the

resistors

cluded and

channel

between

bridge

ma3or

(48}1

(L/W)Ez

This

minimize true

model

Each

in diverting leads to

fit between

analytical

proximation

(R JR)

between

tap.

W = W_ is the

expres-

resistor

the

D

accu-

E_]

+

was

a good

16, Eq.

E._ =

(9)

"g"

provides

tan-I

width

L is the distance

where

6

resistor

R,[(L/W)

from

a resistor

Fig.

is to determine

tap length

parameter

E z is

+

channel

of the

in

the effect of the tap The resistor model

model

g that

that

width

m

width

resistor

an equivalent

E_ = (D/W)/II

(48) I in-

-- E_)

(2W/rL)[(D/W)

W where

model

the

be calculated from

rectangular

R =

real

the

follows

as shown

the

ctror_

G of a tap twice

rectangular

rule

t'_lrma_c"

where

The

of conformal

the length result

R,(L/W)(I

geometrical

uncorrected

length

W to

is assigned

from of the

equation

-

This

of the resistor

objective

width

the bridge

bridge

by

E2 =

The

for

the

be at least

uncorrected

= R,L/R).

io

lap'_

that

channel

u_ed

bridge

channel

the

which indicates from the channel

voltage and

enough

accurately analysis

upon

the resistance

the

channel

allowed

expression

width.

R = where

and

requires

the

_trt/clurc

by

5.

by Hall

than

is given

be

a detailed

based

described

taps

resistor

in Fig.

analysis

mapping

width

in the

for

developed

of the taps,

width

be calculated

from

shown

This

the

can

follows

the

minimum

rectangular

rule

length

to a change

that

at the

the

uncorrected

relative

requires

be designed

the

#3

carrying

of the

area between

1,

t21 Fig

Fig,

"

1/11 _ 1 |1

resplit-

one

to es-

figure.

This

flow

as shown the

current

past in den-

CHAPTER

98

lEEk.

157h

tRANSA(

tH)NS

()N

lions 27

_0-

_

_

,w[

'

','

between

('Q'

values

is required

be

denxH),

_hange_

_ldth

ol

culaling

the

ahmg

v_idlh _rtHn

hn,:v,

NiItOlll

Keeping

channel

the

Ihc

ldth

lap_

voltage

the

of

edge

a

conducting

a distance

that

nlinlltllIC_

th_tt_nl_llLIl[},

latyc[ ix Iv,

Ihi_

Ihal Ihe

ice in

error

cal

the

the

the width axis is

ol

ratio

oped

the

larger

width

of the

channel.

_- =

[in (a/h)

a

_/-I +t

The

,fln

smaller

channel

distance

along

to

the x-

(c/d)l/a-

(16a)

The

+

,_1-_-let

of

14 different

arc

the

poly

a_,/t

(lbe)

given

equations

eqs

t40)

results

densit.',

settles

channel

uut

and

the

is conservative

is.

the

(17) from

the

HaWs

equations

16,

2 tanh

_ (:.)

Iransfi_nna|ion

:_l.

four

The

14" shown

Fig.

7 indicate that

is less

the discontinuity. large

channels.

wilh

re_,pecl

in

Fig.

that than

This

that

large

7 is one-half

current

twice

is tree

Notice to the

the

width

of the

the

EXPERIMEN'IAL

tance III,

and 131,

the

electrical

171. These

to be measured the channel rors

and

tion

of

by

Also.

the

resistor

resistance rents I: and

voltages the

sheet

should

forced

voltages

measurement

measured requires

due that

to

ttA

for

dioxide

of

the

apparent

this

oxide

varied

were

and

between

eliminareversal

requires

V_ and

to be lotted

point V,.

The

in both

is from

off

properties

by

a muhiposition was

was

test

were

the

image

structures focus

removed increasing

The

amount

controlled of each The

of

and

thus

structure

were

following

proce-

errors

while

of the could

linewidth

(2000× chamber

field

Instead.

of focus,

change

the

x)

voltage

never the

by since

using

the moving

selected

magnificaan

NBS

electronic

NBS the to

stanfocus

standard

and

sample

into

electronically

magnification

pressur-

was

as

used

magnifica-

discrete

by (such

a

standard

high

Magnification

calibrated

one

5000

affect

Each

in

session

the was

could

enhancement focused

each

and

began,

only.

used.

taken

of an NBS

the

SEM.

were of

as this

therefore

compensation) and out

lines.

chip

session

switch

curother

and

of the

dard.

direc-

was thus

beginning

values the

re-evacuated

four

I_ and

taken

Once

turned

each

the

magnification

No

linewidths

magnification

of At

was

study.

value

silicon

removed

photomicrographs.

tion tion

minimize

layer.

In the process,

lines

a SEM.

the 200

the poly

oxide

lines

m

metal

and

layer

The

for

layers,

the

field

to chip.

were

500-,aA

patterns.

these

this

structure

chemically

metal

strictly

session.

never

was

not

photomicrographs

this

for

sysFor

electrically,

grown

using

measure-

prober.

oxide.

was

used

these

ized

between

chip

run.

measured

acquisition

each

5 mA

of

chip

each

electrical

n ÷ diffusion

of the diffusion width

gate

first

data

gate

on

the test from

were

structures

thermally optical

from

layer

chosen

resistor

oxide

poly

wafer

to expose

photographed

was

of

chip

removed

[81 at both

er-

average

test the

errors

the

passivation

the edges

to eliminate

as determined

protective

field

p'

through

and

the

photomicrograph

voltage

The

diffusion,

split-cross-bridge

in

current

p*

on

fabricated

and

de-

n _ diffusion oxide),

The

on

a 3-

were

(thin

an automatic

measuring

each

along

measurement

directions

currents

bridge

the

After

layer

structures

oxide

arranged using

oxide

controlled

field

the con-

gate

and

optically,

polysilicon

on

with

layer,

poly

of

devel-

comparison

metal

forced

were

of structures

randomly

using

firr the

continuous

elsewhere

then

linewidth

resistors

on

these

1 mA

directions

relays.

from

resis-

instrumentation

the

resistance result One

in both

the

at switch

aSSUlnes

detailed

in both

is intended

offsets

measurements.

to be

require

flowing

procedure

errors

accurate. cross

current

voltage

Ihermal such

are

procedures

for This

intrt_luced

linewidth

sheet

on

a computer

polysilicon

All the

were

currents

RISUI.TS

fbr evaluating

oxide,

the test

taking

procedures

a signifi-

fabricated

manufacturers

study,

dures V,

field

chips

were

then

Measurement

test

with

from

resistor.

on

different

and

some

rule

layer

made

the

That

are can

associated this

sizes

n*

poly

ments

for both

design

layer,

n"

electrically

of the

channel,

are

optical

were

layers:

linewidths

from

in

in a distance

from

#4

bridge

derived

shown

"_,idth

small

exp(-2ul.

(41} I using

+ z)/(l

The

the

v, ere

and

Inl(l

-

equations

by t =

These

the above

layer Two

for

structures

of seven

diffusion

tl6d)

link

effects

errors

Two

oxide),

, : ,/i _/:, + r_q-_5 it that

various

effects

procedures

used

process.

p+

and

t and

bulk

(thick

(16c)

parameters

the

forced

measurements

split-cross-bridge

These

layer,

tem where

chip. each

¢, = ,;1 + t - I,_ + f>; + r

P, from

to avoid

the

The

magnification

for

oxide.

/,/i

and

These

of these

below.

structures

signed

(16b)

+):7i

be-

resistance

the currents

Additional

measuring

given

test

,am CMOS

p+ =

for

are

to minimize

sisted

of the

S,

be adjusted

if any

procedures

layers

on a test whercfis

W,

Iqg6

measured

of eight

as self-heating.

in [7].

(X'IOBER

factor.

SEM.

tb)

tnmL

I(I.

voltages

R.

must

to determine

NL)

In addition,

such

at length

The

ahmplly

structures

ED3_.

A minimum

to measure

PAGE

QUALITY

STRUCTURES

VI and

1_ and

131. [7].

effects

used

cant

('un'enl

I,

VOI.

resistor,

the

discussed

"_-_'4'

7

points

V2 and

interference Q r ""

TEST

DEVICES.

tween

through

FJ_

Eli(IRON

split-cross-bridge

I( P4

3.

ORIGINAL OF POOR

changing an

unknown

IS

ORIGINAL

PAGE

iS

OF POOR QUALITY 3.4.

THE

SPLIT-CROSS-BRIDGE

BUEHLER

ANn

HFRSHE'f

SPI.ll

('RIISS

99

RESISTOR

BRIIX;_

1577

RESISIOR

p

value.

For

this

of electronic For

the

were

analysis

purpose

low

of obtaining

clear

at a tilt angle

The

tilt axis

was

a SEM

with

magnification pictures,

resistor

one

of

the

graph

structure, two

i

to the elec-

data

sured

Some

oxide

all

error

unreliable

and

points

with

Therefore,

data

Vu,ual

versus

electrical

plolted

along

is given

above

_*_th

linewtdth

hnear

the

line-

were

TABLE V_*,I

al

P tl',,

LI_

MI(

_II)TH

R(IMF

Rtt

[I

R',)

graphs vernier

using a vernier caliper pro'_ided readings in

width

of each

near

the

top

segment

and

micrograph. from

line

of the

bottom

This

each

the

and

resulted

in the

in

in three

or

six

The The

the were

was

calculated

certainties The

based were

were

the

used

vert

the

each

for

a11 ¢1.

and

Vit

The does

Subthreshold dashed not

characteristics line

change

indicates with

for how

radiation.

the

a p-MOSFET characteristics

at shift

radiation if Vot

levels changes

5.1.

MOSFET

SUBTHRESHOLD

PARAMETER

_--_-F_/2$ RAD LEVEL

_I I

RAD LEVEL

OZl._VTf0(e2

f _1--2

_ f-_'_Vit_"_

VTf0(_I)

_I_F2-,_

=I=

_I 2_f_,J )

121

EXTRACTION

=I I =

-Vot-_

vit-----I -Vot

|

LOG(IBinv)

LOG(IB)

LOG(I Bmg) GATE VOLTAGE, VG

Figure

5.4:

¢2 > ¢1. and

Vit

Subthreshold

The does

dashed not

characteristics line

change

indicates with

for an how

radiation.

the

n-MOSFET

characteristics

at radiation shift

if Vot

levels changes

122

CHAPTER

5.

DEVICE

MODELS

AND

SIMULATION

DRAIN D' ID

IB IA

,Clo

GATE G'=G

VD

BODY

UD

B'=B

VG_...__ UG

S' SOURCE Figure is R.

5.5: The

The

model

of an n-MOSFET

subthreshold

leakage

where

current

passes

the

drain

through

and

the

source

resistance

drain-source

diodes.

Figure 5.4. These schematic semi-log plots of body current versus illustrate how the subthreshold current varies between the onset

gate voltage of inversion

(IBinv

is located

the

where

middle

is at VG

mid

gap

= VT,

oxide

VG traps

and

to higher of positive in Figure

ID,

and

the

S'.

Thus

ID

VD

and

UD

enters = IC

where

voltages traps

the

For the

the

with and

shown drain

The

intrinsic the

exits

the

the

IB

slope.

interface

gate

and

while

at

a smaller

IB,

the

voltages in Figure

tap, the and

intrinsic

Fermi

Von.

and

saturation

5.22,

Thus

region

VG

or a new This

[28] and

IB

only

but

current must

developed.

the

the

IB

drawn

be

slope

of the

formulations

For by the

terminated

of current

a new formula for IB subthreshold-saturation

[29] suggest

VT,

MOSFET

slightly

[27], IB between

in its

inside

the

is terminated the

current-voltage

for

subthreshold curve.

Other

which allows for continuity in the region boundary. Antognetti et.

that

are equivalent

to the

following:

( vD)) - exp ,- Vt,

= F x IB0(1

IB,

(5.25)

1 + F exp (---(vc,-vr)) _izi where

F is a factor

function

is very

VD

> Vt

VG

> VT,

and IB

that

is either

attractive. for

VG

a fitting

For VG = VT,

= F × IBO.

IB

parameter

< VT, = (F

It is seen

IB

is identical

× IBO/(1 that

[28] or estimated + F)).

for VG

> VT

[29].

to Equation For VD that

5.22.

> Vt IB

and

This For for

= F × IBO

128

CHAPTER

when

VG

arises

when

with

the

current not

exceeds

by a few Vt

attempting

most

and

being

in the

saturation

robust

enough.

considered

DEVICE

formulated

F.

one

at room

Numerous

in which

region. Thus

the

MODELS

or 50 mV

to evaluate

successful

found

equation

VT

5.

F was

subthreshold

A difficulty were

determined

the

to let

attempted

from

extraction

chosen

current

SIMULATION

temperature.

approaches

However, we have

AND

an offset

procedure

was

F = 1 in the

for all values

of VG

above

[30] as:

VD

IB

5.1.3

Parameter

The

expression

linearized

IBO(1

......... l+exp(

for

the

the

extracted

current

it in logarithmic

In order and

parameters,

to extract

-2.5V.

From

Vit,

Equations

5.16

M{1 where

M0

-

In the

above analysis

Fm

has

of a MOSFET.

of Vot

threshold

Vit

comes

from

M,

are

VG-

shown

at two values

5.24

the

M-factor

Vt

VT

(5.27)

inside

the

of VB,

brackets.

that

is expressed

is VB

= 0

as:

(5.25)

)} = [MO] + 2v/2¢f

= (M0-

1)¢f

(5.29)

the

same

meaning

The

"m"

denotes

In practice,

follows Vot

where

is easily

so that

expression

extraction

5.22

lrm] _ VB

VB

subthreshold region M factor. to those extracted for F. The

and

and

Vit

region

1 + [_1

Vt

2(26f-

= 1 + Vit/¢f

in Equation

form:

is measured

1

given

= [lnlB0]

IBO

IB

(5.26)

Algorithms

subthreshold

by expressing

(-V_)) M×Vt

Extraction

IB In ( 1 - exp (- VD)) vi where

- exp

from = 2¢f

Equation

5.29

the

as F derived that

values

Equation

Fm extracted

5.2; that

+ Vit

-

and

VTo

from

the

is derived

active

from

for Fm are

the close

is, for an n-MOSFET:

VTo

(5.30)

comes

from

the

active

region

voltage.

For p-MOSFETs,

Vot

is derived Vot

from

= VTo

Equation

- 2¢f

- Vit

5.3; that

is (5.31)

5.1.

MOSFET

SUBTHRESHOLD

where

again

Vit

region

threshold

Finally,

comes

from

PARAMETER

the

subthreshold

F0 has

notes

that

values

extraction

of F0 follows

the

the

uncertainties which the

little

physical

Tables

base

the fitting

active

of Equation

5.23:

(5.32)

as the

active

expression.

is because

bipolar

the

value

F.

"0"

de-

that

F0

derived

Thus

F0 depends

of the

The

it is found

F0 was

transistor.

In addition

F0 should

region

In practice,

This

of the

on

Thus

of fitting 5.3.

W columns. the

The

by ap-

F0 reflects

on

threshold

be interpreted

5.1.

in Table

region used

These

in Table major

the

the

extraction

voltage

extracted

as a fitting

factor

with

By

comparing

fits.

5.3.

as discussed of interface VitCo/q.

The

that

earlier

FO =

states

can

Table

5.1, the

is shown

were

The

for placed

continuity in Figures

the in the

of the 5.7

agree

given

in

in the

determined

differs

MOSFET

the

JFETFIT 5.8 where

and

formula

IBO

and

=

_

The

above

(1/cm

but

density

as:

Nit

=

2) = 2.16 × 10 _3 ×

W(gm)/L(ttm) drain

F0, are listed

F.

given

the

individual

eo = 3.9 x 8.86 × 10 -14 F/cm,

is: Nit

MOSFET of the

the

F = 0.831

from

equation

that

In addition,

Fro, with

listed

it is seen

from

significantly

with

5.2,

in

parameters

fit parameters well.

Vit, closely

are listed

individual

degradation

= 50 mn,

conversion

basis

5.1 and

agrees

from Xo

the global

parameters, v/V

derivatives and

listed parameter

are

voltages

extremely

a tolerable

= 0.850

where

with the

in Tables

and/_)

be calculated

= 8.2 × 109 (1/cm2).

Vit(V)/Xo(nm). The parameters

values

11.13 _

For Co = eo/Xo

JFETFIT

on an individual from

subthreshold Fm

the

are

MOSFETs

threshold

to be compared

indicate

three

Notice

the

MOSFET

determined

VT

CC,

using for the

process

the

(e.g.,

obtained

of MOSFETs

used.

are were

coefficients,

in Table

were

parameters

parameters

to the global

were

sizes

W dimensions

to fit each

5.2 which

5.3.

correlation

L and

different

In this extraction

saturation

listed

of four

results

the

parameters

Table

a set

These

[30] where

L and

ine

IBO

F values.

depends

region.

5.1 to

extractor

Nit

the

significance.

results

the

from

Results

The

from

of the

from

meaning

the

approximation.

in turn

active

5.1.4

VTo

[ltFOJ2v/2_b f-VB

from

width

in this

from

and

_Vt 2

physical from

significantly

proximating of IBO

same

F0 is derived

differ

region

129

voltage.

the

IBO

where

EXTRACTION

model current

1.067_tA,

= and

9/3, used

curves. VT

=

listed

in

to examThe

0.700V,

result and

130

CHAPTER

Table

5.1:

MOSFETs. XT 1 2 3 4 5 6 7 8

L 3 9 9 3 3 9 9 3

Individual In

W 9 9 6 6 9 9 6 6

this

VB 0.0 0.0 0.0 0.0 -2.5 -2.5 -2.5 -2.5

5.

MOSFET case,

2¢f

_ × x x x × x x x

10 -4 10 -s 10 -5 10 -4 10 -4 10 -5 10 -5 10 -4

2.46 5.38 3.35 1.44 2.46 5.38 3.35 1.44

DEVICE

MODELS

parameters -- 0.6V, VT 0.701 0.706 0.699 0.700 1,445 1.518 1.520 1.461

VTo 6 0.38 0.49 0.48 0.40 0.10 0.26 0.26 0.15

XT

L

W

VB

v

2 3 4 5 6 7 8

9 9 3 3 9 9 3

9 6 6 9 9 6 6

0.0 0.0 0.0 -2.5 -2.5 -2.5 -2.5

-0.042 -0.037 -0.017 -0.012 -0.054 -0,048 -0.022

based

on

= 0.075

V,

e 0.335 0.014 0.012 0.288 0.391 0.053 0.051 0.336

A 0.038 0.011 0.011 0.035 0.042 0.011 0.011 0.038

IB0 1.457 8.004 4.664 4.593 9.069 7.730x 3.064

X 10 -7

x x x x

10 -s 10 -7 10 -7 10 -s 10 -s

×

10 -7

AND

SIMULATION

individually and _ 1.58 0.49 0.44 1.39 1.62 0.62 0.60 1.51

fitting

four

O = 0.041. r 0.070 0.050 0.047 0.065 0,082 0.046 0.042 0.074

M

Temp

1.796 1.857 1.797 1.447 1.539 1.512 1.473

300 300 300 300 300 300 300

R 78 78 125 125 78 78 125 125

CC 0.9994 0.9998 0.9998 0.9995 0.9993 0.9997 0.9997 0.9994

5.1.

MOSFET

SUBTHRESHOLD

PARAMETER

EXTRACTION

Table 5.2: Individual MOSFET parameters derived from rameters given in Table 5.3. In this case, 2¢f -- 0.6 V and _

VT

6

c

the global FET VTo = 0.075 V.

L

W

VB

R

CC

1

3

9

0.0

2.39

× 10 -4

0.702

0.37

0.338

0.039

1.52

0.067

50

0.9994

2

9

9

0.0

5.39

x 10 -s

0.704

0.48

0.032

0.012

0.54

0.049

50

0.9995

3

9

6

0.0

3.35

x 10 -5

0.700

0.51

0.032

0.010

0.54

0.049

81

0.9980

4

3

6

0.0

1.48

x 10 -4

0.698

0.40

0.338

0.038

1.52

0.067

81

0.9993

5

3

9

-2.5

2.39

x 10 -4

1.449

0.11

0.338

0.039

1.52

0.067

50

0.9990

6

9

9

-2.5

5.39

x 10 -5

1.514

0.22

0.032

0.012

0.54

0.049

50

0.9966

7

9

6

-2.5

3.35

x 10 -5

1.523

0.26

0.032

0.010

0.54

0.049

81

0.9990

8

3

6

-2.5

1.48

x 10 -4

1.457

0.15

0.338

0.038

1.52

0.067

81

0.9980

IB0

_

M

r

pa-

XT

u

A

131

XT

L

W

VB

1

3

9

0.0

-0.0!4

8.011

x-i_

1.766

Temp 300

2

9

9

0.0

-0.042

1.810

x 10 -7

1.766

300

3

9

6

0.0

-0.037

1.124 x 10 -7

1.766

300

4

3

6

0.0

-0.017

4.974 x 10 -7

1.766

300

5

3

9

-2.5

-0.012

3.524

x

10 -_

1.487

300

6

9

9

-2.5

-0.054

7.961

x 10 -s

1.487

300

7

9

6

-2.5

-0.048

4.943

x 10 -s

1.487

300

8

3

6

-2.5

-0.022

2.188

x 10 -T

1.487

300

132

Table are

CHAPTER

5.3:

Global

calculated; Transistor

all

MOSFET other

5.

DEVICE

parameters.

parameters

Parameter

are

MODELS

The

AND

parameters

which

SIMULATION

are

indented

measured. Value

Standard Deviation

+ % ±

BETA:

THRESHOLD:

DELTA:

TAU:

ETA: EPSILON: LAMBDA:

M:

IB0:

AW(#m) AL(pm) VTf0(V) Vot(V) VTo(V)

= = = : =

1.086 1.249 0.711 0.604 0.077

r(vV)

=

o.8194-o.o18

KLG(V x pm) KLGB(pm) KWG(V x #m)

= = =

0.005 0.057 -0.051

KWGB(V D0(v/V) KLD(pm) KWD(#m)

= = = =

0.065 0.355 0.248 0.422

o(1/v)

:

0.043 4- 0.003

KLT(pm/V) RW(n ×/zm) H0(1/V) KiH(pm/V) E0(1/V) KLE(pm/V) L0(1/V) KLL(um/V) KWL(_m/V) MO(uuitless) Vit(V)

= = = = = -= = = = = =

rm(CV) ro(_/V)

x _m)

= File : [SANG.TRY2]C30N61

± 4444-

0.211 0.071 0.028 0.027 0.024

4- 0.012 4- 0.007 + 0.068 4444-

0.039 0.022 0.039 0.138

0.042 4- 0.007 401.965 4- 62.943 0.251 4- 0.062 2.227 4- 0.150 0.057 4- 0.022 0.690 4- 0.054 0.006 4- 0.003 0.062 4- 0.003 0.020 4- 0.016 1.267 4- 0.037 0.080 4- 0.011 0.772 4- 0.075 7.788

4- 0.424

(19.38%) (5.71%) (3.89%) (4.39%) (31.35%)

(2.16%) (260.24%) (11.77%) (-134.17%) (59.42%) (6.09%) (15.54%) (32.75%)

(6.25%) (15.34%) (15.66%) (24.68%) (6.72%) (39.38%) (7.83%) (47.28%) (4.52%) (80.63%) (2.94%) (13.94%) (9.68%) (5.44%)

5.1.

MOSFET

SUBTHRESHOLD

PARAMETER

3211 , , ,

/t

2568

O

133

EXTRACTION

1926

1284 c_:_:__642

IB

0

I

SUBTHRESHOLD 29 _"

I

23

_ -_

I I

]

I

I

u

_

_

SATURATION

i

I

t

:

dID

-

,,

_u_.-_

_

_0 0.65

I 0.69

0.73

I 0.81

0.77

0.85

UG (V) Figure shows VGS

5.7: that =

VT

MOSFET the

slope

=

0.700V.

drain

characteristics

is continuous

at

the

for

VDS

subthreshold-saturation

=

5V.

This boundary

graph at

CHAPTER

134

5.

DEVICE

MODELS

AND

SIMULATION

2209r 1767



/ X

A

CHIP

6.1 where

the

different

V2

6.2.

AREAS

,

OF

INVESTIGATION

and Test Strips wafer coverage

for different required.

A second

was

which

issue

ce_.¢eyed

parameters. surface

3.

from

the

Chips.

The

issue

of determining them,

detail

was

many

Test

which also

approached applied

two

passes

over

data:

the

the

from

the

from

the

to plot

wafers same

In

second this

resulting using

no

exclusions

were

made

on each

results

were

results

would

this

method

when

summary validity

results of the

problems final

certain

issue

of the

data

first

circuits are

of functional

elsewhere

for

concerned

functional

structure

was

(Chapter

the

applied

to be ac-

pathologically the

criteria

for the

these

from

each

were

used

Test

to create

In effect, from

involved The

to the

second win-

Chip

data.

wafer

indethe

the

and

to know

become

reason

on

others,

for

if

manifest

a comparison

severe

lot

decisions

curious

would

for

exclusion

to the

We were

data

samplings

data

methods.

how

involved

procedure

applied

This is due

and

and

of outliers)

clues

the

of the

seeking

the

data

management

structure

data

and

of the

test

technique. correlations on the

transistor circuits

two

technique

data

depart

in isolation

inadequate.

from

to

what

the

corresponding

can

combined. and

which

techniques:

Strip

exclusions.

wafer

be realistic,

different

histograms,

pass

was

further

subsequently

latter

wafer

made

fitted

to be considered

global

of

between

outliers,

(for this

enough no

surface

combined

distributions

data

the

pass

elimination

were

summary the

Test

these

technique

exclusions The

to the

The second wafers.

exclusion

case,

pendently.

sults

and and

pass were determined. dows to the individual The

two

if so, for

made

statistical

histograms

From

(identification

the

degree

to fit a surface

and was

using

be similar

population

and

the

sufficient

mapping),

were

first

global

must

population).

exclusions

4. The

points

was

all wafers

were

Strips

technique the

to determine

comparison

first

curate,

sites

(wafer

The from

(b)

nine

helped

a quantitative

Test

(a)

the

"sufficient"

nine

to identify

parameters

whether

Therefore,

fitted

143

production

thresholds, such

7) in this

between

as a RAM report.

test chips.

KP,

etc.,

or the

Examples compared

timing

sampler

with

the

described

re-

144

CHAPTER

6.3

Test

As

used

in this

structures; wafer.

Test

Test

Strips

of test

this

run,

the

have

much

every Strip

and

structures

Test

Chips

a few

Test

Chips

run

can

the

consumes

thus

Test

parameter

5 percent Chips

parameter

extraction.

3.

Circuit

parameter

extraction.

4.

Layout

rule

5.

Yield size

the

smaller

three

of the

Test

size

from ing

the KP

6.4 Once made,

for

limiting

However,

the

the

num-

Test

Strip

a production

5 percent from

chip.

of the

area

allows

from

of the

area

In

of the

wafer.

the following

all categories

selected

structures

categories:

to be from

are

included

routines

on the

Test run,

transistors

included

on this

are

in Table

6.1.

versus

VG

size, slope,/3,

where

respectively. AW.

Chips

sizes

extraction

each

maximum

JPL

of parameter

p-channel

the decisions Test

structures

Strip

of various

shown of the

L and The

Geometry

the

allows

Test

requirements

= /3L/W

dimensions, for AL and

available

included;

only

the

first

to be included. the

n- and KP

Chip

of the

transistors

culated

Chips,

total

selected

a production

of the

checking.

categories

for both

on

to test

analysis.

To satisfy ulators,

dedicated

extraction.

2. Device

The

Test

contains

of the

were

STUDY

wafer.

strip.

approximately

about

for the

than that

CASE

8 percent

on the

on each

wafer

fully

be included

about

dimensions

on

chips

can

sites"

be placed

CHIP

Design

are

consumed "prime

smaller

site

Strip

nine

nine

that

Test

1. Process

The

occupied

chip

Test

on this

and

on

production Test

only

structures

is replicated

the

Chips

positions,

ber

and

report,

therefore, The

chip

Chip

6. A TEST

KP

and

were

Chip

Assembler

identified

the

values

of the

Test

in Table

and

used the

sim-

Dimensions

along

with

the

values

were

derived

for

VD

= 50 mV

length

6.1 are

cal-

not

and

us-

width

corrected

Generation

Chip and was

Chips.

channel

Program

(TCA)

as CM5111,

curve

as-drawn shown

Test

on the contents

Test

ID

W are

These

for circuit

the Test

Strip

to generate

the

Test

Strips

had

been

geometry.

as ST5102.

The

6.4.

GEOMETRY

Table VTI-2, at VBS

6.1:

AND

Transistor

3-#m

TEST

PROGRAM

Geometries

CMOS/Bulk

= 0) for each

for both

p-well, Device.

The

2.0 n-Channel

15.0

Transistors 12.0

data

n- and

p-channel

L, showing shown

As-Drawn 3.0 6.0

in #A/V

wafers

from 2 (mean

1, 4, 5, and

Length 9.0

(#m) 12.0

15.0

56.7

49.0

46.5

45.2

44.7

-t-2.7

+1.5

=t=1.4

=t::l.1

=t:0.8

+3.3 9.0

(#m)

103.

54.6

44.5

=}=12.

+3.5

+0.9

49.9

44.4

6.0

±3.4 4.5 3.0

p-Channel Transistors

transistors

KP

is from

145

55.7

As-Drawn Width

W vs.

GENERATION

±I.I

81.7

47.6

43.8

41.6

40.6

±9.2

±3.3

±1.3

±1.3

±1.3

77.2

44.6

38.4

=t=8.7

+2.6

+1.9

15.0 12.0

-.809

-.827

-.831

-.837

-.836

±.027

=1=.018

±.017

=t=.022

+.024

- .807

As-Drawn

:1:.023

Width

-.811

- .846

- .844

(#m)

± .025

±.023

±.017

- .829

- .858

±.021

±.019

4.5 3.0

-.688

-.836

-.860

- .866

- .872

±.029

±.020

±.019

±.019

±.016

-.717

-.854

- .888

=t:.026

-{-.021

±.017

Run + a 10.

146

CHAPTER

two projects

were

laid out independently.

level specifications

of the required

all detailed

geometry

Intermediate

Form

(in the

case

CRRES

Chip

files

of structure,

which

were

routed

test

program

state

probing

to test

the

VTI-2

built

around

given.

test

following

the

the

prober

wafer This

study

leftmost The moved was

processed

The

result

reference one

particular

there drawn the

into

the

Test

Chip

Test each appears

probing

computer

project,

the

These

files

prepared

ten

a The

minutes.

to test

the

Two

Test

Strips

of small

ASCII

CRUNCH has

an

with nine

identifier

structure one

times

on each

was

replaced

by

a

software

will be

generated

for

and

the

earlier 10.

time,

it

position

of

1 had

the

steps. Wafer

missing. a binary,

sequential

formatting. Data

Once

Test

wafer,

the

VAX,

all data into

Compiler.

then

from its

all

name

such

file

chips

test

for

which

example,

wafer

the

CRUNCH is had

compiler,

would

of its filename. one

file

binary

called

by the

file for each as part

the

For

"349"

was

the

to organize

is complete, in a format

called "349"

file which

On

Preprocessor, this

contains

CRUNCH

characters

been test

test

by the

incorporated the

at the

programs

electrical

dimensions),

then the

by

has of the

test

files written

file, which

(of given Chip,

Test

files.

which,

1, 4, 5, and

was

the

data

of Data

system

the

for final

called

to this

a transistor

descrip-

instrumentation.

system

programmed

13 x 13 grid)

wafer

structure,

generated,

this

numbered

archival,

Each

assigned

been

the

11/780

is a series

files.

uniquely

(of the

labeled,

in the

about

one

details

Thus,

wafers,

by a program

raw data into is discarded.

for the

produced

structure.

test

takes

to execute

above.

four

from

TCA

automatically

the

test

Since

automatically

two columns output

JPL's

designed

outlined

used

to a VAX

using

computer. was

were

geometry

Disposition

no machine-dependent

system

steps

the

generated:

and

probed

LSI-11

system,

The

were

and

for fabrication

ST5102). structures

11/780

generated

file in Caltech

foundry

into the

which

prober

on a VAX

TCA

gross-

Chips.

were

an

microVAX-II

by the

STUDY

file containing the

of each

Generator,

Probing

wafers

of the

parameters

programs

Test

Strip

in CIF,

locations

Program

program

Test

files

CASE

an output

to the

or else merged

essential

to be executed

Wafer

The

been

Test

of a test

6.5

exact

the

input

was

directly

of the

CHIP

placement,

result

sent

geometry

the

and

wafer

one

case

a text

and

The was

CM5111),

(in the

to the

compilation separate

Chip

to producing

tion

and

Test

project

type

structures

which

A TEST

Using

automatically. (CIF)

of the

In addition

6.

CRUNCH

have Since file

6.6.

TEST

would the

STRIP

contain

exact

nine

file with

the

is fully Each

ber

and

labeling

of the

output

filename

whether

is labeled

are known.

for a wafer

the

"description

data,

and

in such Thus,

a way

one

that

CRUNCH

map.

labels

the

147

data file"

in each output

the construction

CRUNCH

of the

of the

TCA.

CRUNCH

it was

incorporates

taken

from

algorithmic

information

the

Test

to identify

Strip

file construction

or Test

and

the

Chip.

wafer

This

automated

num-

filename

access

to

files.

is essential to automating the analysis of the (formatted but as-measured) in the CRUNCH files, by the main analysis tool, a program called STMJPL was

program

derived

Strip

STMJPL

structures

the

generates

the

Test

Strips.

mined

by studying

the

global

sidered

"outliers."

indicating from

others.

tribution normally layer

6.3),

individual mode

6.7

From

The

case,

the

that

showing

a skewed

A map 6.4)

1. Sheet

series

and

parameters

to the

which

data

this

data

points normally

wafer

was

significantly

are

shown:

run

the

the

data, data

Resistance

was but

referred from

resistance

second

time

maps

in "avenue"

the

This

a tabulation to in this

Split-Cross-Bridge

Strip statistics

is not

an

the

Resistors:

dis-

example of of the metal generated

is shown,

printed result

is listed

is the

(Table

once

in

6.5).

Initial

ST5102

of information

section

different

first

were

mode

deterbe con-

distributed,

Probing:

Test and

maps

to n+poly

Structure

prepared.

rather

Wafer

and

were

would

was

distribution.

of contact

of wafer

summary The

applied

no one

from

Results

the

important

to decide

histogram

Qualitative

maps.

analysis

Results

resistance for metal to n+poly (Table 6.2), data, and the second is the sheet resistance

(Table

entire

of the

exclusions

Test

on

statistical

Preliminary

maps

histograms

histograms

wafers.

a preliminary analysis

wafer

Parametric

the

of Standards

Map

approximation

Two

of contact distributed

(Table

"full"

In this

to a first

the

Bureau

Wafer

program

on

National

[31].

Test

The

from

STATII

6.6

wafer

points

wafer,

furthermore, from

RESULTS

automatic.

allowed

which

for

nine

on the

to fit a surface

it obtains

CRUNCH

structure This data

data

PRELIMINARY

of the

site,

preprocessor,

informution

Therefore, files,

data

Each

of each

enough

test

MAP

points.

coordinates

file contains The

WAFER

with

each

plot,

of a full statistical obtained

in Table

6.6.

from

the

148

CHAPTER

Table to

6.2:

Histogram

n+poly

Stdev

on --

the

0.4312;

Maximum

--

of Test %

3.23

the

Strips

of

--

20.69;

Stdev

A

TEST

distribution

of

contact

Run

Wafer

VTI2,

Median

--

CHIP

CASE

resistance #1.

Mean

2.1512;

Minimum

30

4O

STUDY

for

metal

--

2.1112;

=

0.7312;

12.

INTERVAL

NO.

MIDPOINT

OBS.

NUMBER

OF

0

(OHMS)

INCLUDED

normal

6.

= 418;

EXCLUDED

LOWER

BOUND

-- 0.73;

POINTS

BELOW

BIN

UPPER

OBSERVATIONS

10

20

= 0 BOUND

1 = 0; POINTS

-- 3.23;

ABOVE

BIN

BIN

COUNT

34 = 0; BIN

= 34 WIDTH

= 0.0738

6.7.

PARAMETRIC

TEST

Table

6.3:

Histogram

metal

layer

from

VTI2,

Wafer

Median

of the

the

#l.

INTERVAL

PROBING

skewed

Mean

NO.

OF

on

the

= 10-sial/D; ; Maximum

resistance Test

Strips

% Stdev

of the of Run =

3.15;

= 0.0357fl/_.

OBSERVATIONS

OBS.

(RSHEET) 0.0306

3

0 ***

0.0307

9

******

0.0309

18

******

0.0310

34

******

0.0312

41

******

0.0314

39

******

0.0315

47

******

0.0317

43

******

0.0318

31

******

23

******

0.0321

17

*****************

0.0323

8

********

0.0324

7

*******

0.0326

11

0.0328

2

**

9

*********

0.0331

9

*********

0.0332

9

*********

0.0334

4

****

0.0335

9

*********

0.0337

3

***

0.0339

6

******

0.0340

3

***

0.0342

5

*****

0.0343

4

****

0.0345

4

****

0.0346

1

*

0.0348

0

0.0320

0.0329

>

+

0.0349

4

0.0351

0

10

20

30

4O

***********

****

0.0353

2

0.0354

0

0.0356

1

*

0.0357

2

**

LOWER POINTS

Stdev

= 0.0305fl/[]

NUMBER

of sheet

Resistor

= 0.033[1/D;

; Minimum

149

distribution

Split-Cross-Bridge

= 0.0316Vt/[]

MIDPOINT

STRIP

**

BOUND = 0.0305; UPPER BOUND = 0.0358; BIN COUNT = 34 BELOW BIN 1 = 0; POINTS ABOVE BIN 34 = 0; BIN WIDTH = 1.56 x 10-4

CHAPTER

6.

of

Resistance

150

Table

6.4:

Mean

=

"Full"

Wafer

2.40_,

Minimum

=

Stdev

1.69

12,

VT-i260866:c,6i (VTI2)(

Map =

0.31811,

Maximum

cMos

Contact

=

VTi2:

%

3.24

A

Stdev

=

22:56:18.00-

)


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CASE

INVERTER

VOLTAGE

VINV (V)-2. 19+0.013 (0.6%) .i

CHIP

maps

for the

.59,

5

CC (IGAINI vs Wnpoly) : 0.82 CC (IGAINI vs VTOsum)- 0.54 VTOsum = VTOn + IVTOpl

inverter

parameters

VINV

(left)

and

Chapter

7

CRRES

Project

171

172

CHAPTER

7.1

7.

CRRES

PROJECT

Introduction

The

JPL

the

CRRES

Chip

Microelectronics

Effects test

Package

Satellite

circuits

(CRRES).

for

evaluating

space

single

the

The

radiation

chip

delivered the

was

NASA/JPL

7.2

JPL

CRRES

testing:

upset

rates,

degradation

ground

test

chip

a Timing and

a CMOS

program

consists

of three

Random

Access circuit

transistor and

1986.

in

Radiation operational Memory

for

for

evaluating

Matrix

for eval-

parameters. parts

Parts

CRRES

inclusion

and

cell Transistor

foundry

of the

for

Release

Sampler

a-32

in March

segment

designed

Combined

of SPICE-like

at

CRRES

circuit

a Static

degradation,

fabricated

to the

test

of the

The

timing

custom

(MEP)

radiation

event

radiation-induced uating

is a full

for the

were

MEP

also

were

supplied

to

program.

Purpose

The

purpose

of the

JPL

1. To demonstrate 2. To validate based 3.

To

provide

VLSI 4.

on the

the the

ground

microcircuit

the

space

radiation

Runs The JPL radiation

Event

matrix

for parameter

for

single-event-upset

radiation-induced

(SEU)

and

CRRES

total

radiation

detection,

degradation.

ICs. response

chip

parameters

circuit

design

ionizing

dose

Chip

and

of

with

guidelines. (TID)

radi-

Foundry

Period

in Figure 7.1 is a 3-#m CMOS/Bulk three unique experimental structures:

extraction,

approach,

custom

foundry.

of CRRES

Reporting

(SEU) timing

Upset

of

During

of the

worst-case

in a spacecraft.

technology

silicon

response

to provide

circuits

for procuring

understanding

and

VLSI

assurance

chips,

at a radiation-soft

tests

CRRES chip shown test chip containing

tor

product

radiation

Description

custom

of test

a transistor-level fabricated

is:

of using

of a family

5. To evaluate Single ation effects.

7.3

chip

viability

JPL

use

circuits

To correlate

CRRES

a static

random

and The

a timing

JPL

CRRES

access

p-well space a transis-

memory

(SRAM)

sampler

for

chip

is included

measuring in the

7.3.

CRRES

CHIP

T$

T$

O1

D0

24

23

ORIGINAL

PAGE

IS

OF. POOR

QUALITY

DESCRIPTION

SPARE

SPARE

SilARE

22

21

20

SPARE 19

173

SPARE

SPARE

18

17

TS

T$

E

i

16

15

INV SPARE 14

SPARE 13

XT

N-GATE

WELL

12

11

INV

INV

WELL

V$$

10

9

T TS

D2

25

64-STAGE TS

D3

26

TS

04

27

TS

D5

Z8

TIMING

SAMPLER

TEST STRIP

INV

P-GATE

iNV

VDO

INVERTER

INV

SUB

5 INV

OUT

__

GND

29

4XTVG

RAM

DQI5

30

3 SPARE

RAM

DOI4

31

2 XT

RAM

DQ13

32

1 VDD

RAM

DO12

33

RAM

_:_11

RAM

0010

RAM

DC9

36

RAM

DQ8

37

4 x 8MOSFET MATRIX

34

35

VP$

_ 84

XT

VD

63

XT

ID

82

XT

C2

61

XT

Cl

_XTCO i

RAM

DQ7

36

59XT

RAM

D(_

30

UXTR1

RAM

DG5

40

57

41

42

43

44

RAM

RAM

RAM

RAM

DO4

DO3

DO2

DOt

Figure

7.1:

The

46 RAM DO0

JPL

41_

47

46

49

50

RAM

RAM

RAM

RAM

$

W

E

EP

CRRES

RAM A5

Chip

51 RAM A4

52 RAM A3

which

53 RAM A2

54 RAM A1

55

56

RAM

XT

A0

EN

is 6.9 mm

× 6.8 mm.

R0

SPARE

DESIGNED

DEC.

'B5

CHAPTER

174

Microelectronics

Package

scheduled

launched

in the

for ground

test:

to be

several

circuits

metric

test

ring

strips

oscillator This

JPL

section

Pin-outs

Section

7.10.

"Product the

Static The

SRAM

upset

due

rate

The

cell.

These

powered

by has

7.5):

matrix

a separate 8 columns

sizes

(Figure

(one total

poly and one leakage when The

timing

is tested

7.6).

Two

sampler

the

pulse

passes

are simplified.

also

in Chapter

The chip was isons lists

of radiation the

foundry

of Foundry The

yield

prone. leakage

was

The

about

dominant

current

The by the

hardness runs

(on

field

of 64 loaded

for

a given

sampler

of

transistors

for measuring

inverter

pairs.

It

The

number

of

time.

number.

circuit

(Figof one

oxide

blank

is

The

transistors

transistors

remains

as a binary

timing MOS

that

in the the

20 percent failure order

Implementation

(Foundry

of different

used

the

chain

is presented

submissions

1 indicated

is a chain

the

test

Thus,

and

test

in-space results

are

3.

fabricated

by two foundry

7.7)

along

low-

under

measurement.

oxide

n-channel

and one location are off.

(Figure

a pulse

gate

tapped,

device

(pA)

in

read/write

results.

n- or p-channel

contain

64 six-

is for minimum to be the least

Kelvin The

sub-threshold

locations

into

The

SEU

32-element,

normal

for

of changes

7.4.

affecting

with either

in the

85-76).

investigation

parameters.

contain

in

report

is organized

in Section

is a

be found

described

No.

pe-

or an asymmetrical

allow

changes

of the

report

can

operation; all timing data This design is expected

allowing

metal gate), all transistors

measurements described

cells described

the

are

a

results.

Electronics"

(SRAM)

7.4)

of 4 locations

function

LSI/VLSI

para-

versions)

function

chip

Memory

of SPICE-like

locations

by sending that

(Figure

the

a symmetrical

timing

supply,

29 of these

four

and

are

and

contains

JPL

early

during

Publication

different and

for extraction

and

presently

also

sampler

design

(JPL

either

7.3) allows full static for given operations.

transistor circuit

stages

Access

to radiation-induced

leakage

ure

1984

utilizes

to geometry

(Figure times

susceptible

Random

SRAM

design

(on

obtained

for Custom

7.2),

chip

timing

for testing

PROJECT

inverter,

and

of the

of results

chip

1982-September

transistor

matrix

CRRES

October

words.

circuitry execution

JPL

(Figure

CRRES

to confirm

requirements

Technology

1 kbit

16-bit

data

CRRES

six-terminal

description

Assurance

period The

The

The

assurance,

a description

timing

satellite

1990's.

a stand-alone

a brief

and

and

CRRES

early

timing

provides chip

of the

process/fabrication

for obtaining

CRRES

riod.

for

(MEP)

7.

1 and

processes

development

lk SRAM at the

mode

wafer

of the

of hundreds

and of this

chips

Service

Foundry

remaining

and

compar-

manufacturers. chip.

were only level

of ISI (MOSIS)

2) to enable

Table

Electrical

nominally

the

chips

lk SRAM

of microamperes).

7.1

analysis acceptable.

were chips The

latch-up was

4k

high

SRAM

7.3.

CRRES

CHIP

DESCRIPTION

175

POWER AND CONTROL BOARDS

TOTAL

DOSE

INNER

= 2

MIDDLE OUTER

= 8 =340

J.

kRAD(Si)/YEAR

EXPERIMENT BOARDS

10-MIL

ALUMINUM

SHIELD

MICROELECTRONICS PACKAGE

CRRES

Figure Package the

7.2:

The

(MEP),

locations

CRRES the

of the

Satellite

expected 12 JPL

showing doses

CRRES

for chips

the the

location

various

denoted

of the

Microelectronics

experimental

by A1-A4,

B1-B4,

boards, and

and

C1-C4.

CHAPTER

176

Table

7.1:

Summary

of

CRRES/MOSIS

PROJECT

MOSIS

NAME(S)

RUN NUMBER

RAM1,RAMIB,RAM1F CRESCHP18_B,CRESCHPI8_A CRESCHP17_B CRESCHP17_A CRESCHP16M PADTEST2 PADTEST3 PADTEST1

Projects --

DATES

7.

as

CRRES

PROJECT

of March,

--

ADDITIONAL

SUBMIT

PKGS OUT

RUN(S)

M65P M61P M5BG M5BG M5BE M5BE M5BE M5BE

5-20 1-8 11-22 11-22 11-5 10-28 10-28 10-28

7-23 2-21 2-7 2-7 1-29 1-29 1-29 1-29

CRRES4Kg,CRESCHP16 CRRES4K8,CRESCHP15 CR4K7TS,CR4KTR,CR4KTM CRRES4K7 CRRES4K6

M5BE M59A -M56G M55C

10-17 9-26 8-17 5-30 4-24

1-29 1-28 * 7-23 7-16

ARRAYN1,ARRAYP1

M53X

3-12

t

CRRES4K5 PADTEST CRESCHP14 CRRES4K4 PADTEST CRRES4K3 CRRES4K2 2KRAM

M53X M53X M53X M52S M4CL M4CL M4AD M49A

2-15 2-18 2-6 2-6-85 11-19 11-19 10-17 9-13

? 4-8 2-5 2-5 1-30-85 12-21

CRESCHP12,CHIP8284 CRESCHPI1

M48V M46M

6-2 6-19

11-30 9-13

CRESCHP10,CRRESCHP8 CRRESCHP7

M45H M44E

5-23 3-30

10-10 6-19

CRRESCHP6 CRRESCHP5 CRRESCHP3 CRRESCHIP2

----M42X M41V

2-29 2-28 2-1 1-16-84

$ f 4-11-84

CRRESCHIP

M3AJ

10-19-83

t

1987.

M57Q M54A M54A,M57Q M58U,M63E M54A M54A M54A

MS1P-F M4BG-F-M51R-F M4AD M49A M47T-F-M48V M46M-M47T-F M45H

M39D,M39H,M3BM, M3CO,M41V

Notes: CRRESCHPn = Ik SRAM Version CRRES Chip CRRESCHPnM = Ik SRAM Version CRRES Chip, MOSIS/MIT I/O Pads CRRES4Kn = 4k SRAM Version CRRES Chip ARRAYP1, ARRAYNI = I>-or n-Channel Kelvin Tapped Transistors RAM1, RAMIB, RAMIF = Normal, Asymmetrical, or Faulted SRAM *DELETE-CIF; tWAFERS FAILED; SRUN CANCELLED

7.3.

CRRES

CHIP

DESCRIPTION

ADDRESS DECODER

177

tVDD

......

.

__ __-__ __-__ _-L_.L_L._

ROW1

_ _ _ _;_ _o. I I__ _HOW.,O._t,N_O_, _fl I'_^'_-_-"_^'I MEMORY CELL

SENSEAMPLIFIER ENABLE

r

Vss _

t

'DATA LATCH

co tRO I_

PRE-CHARGE PREC

gE TRANSISTORS R/W

TRANSMISS ION GATES

L4--___

R/W _-_-----

TRI-STATE ENABLE

I

('T'- HI Z STATEI

I ITRI-STATE I/0 J

I

Figure

chips

had

zero

7.3:

percent

JPL

yield;

CRRES

the

chip

SRAM

dominant

failure

logic

diagram.

was very

high

leakage

current

(milliamperes). The pulldown

4k

SRAM transistors

problem was traced were not connected

misplaced p-well ground in adjoining SRAM cells The The the

lk SRAM

problems JPL

also

voiding

is not

The to assure

this rules

connection and was too small. was

chip

submitted were

(Figures

the

p-well

and

for destructive

traced 7.9 and

p+diffusion

physical

to encroachment 7.10).

Such

separation

analysis

of the

the to a

at JPL.

p-well

encroachment

beyond

caused

the

problems described above. The foundry's design rules were examined to be more conservative than JPL's on this critical dimension. This

analysis problems,

on

design

functional and found

chip

to two design errors (Figure 7.8): to ground in the SRAM cell due

indicated

but lk chip

thought could was

a functional

substantial to have cause selected circuit

voiding

in the

contributed

long-term

reliability

for design in the

field

to any

(Figure yield

7.11).

This

or functional

problems.

modifications

remaining

oxide

observed

single

and foundry

fabrication run.

in order

At this

same

CHAPTER

178

[] E_

[]

[]

[]

[]

7.

CRRES

PROJECT

[] []

i



1 °..

[]

I

I

[] Figure

7.4:

The

JPL

CRRES

Chip

MOSFET

Matrix.

7.3.

CRRES

CHIP

DESCRIPTION

179

BINARY

INPUT

II

II

II I

Figure

time,

7.5:

the

drop-in aged

Locations

ring test

The

Chips by MOSIS electrical step 2.2) gram

was

received

were

passed

from

of the same

design

compared

was caused

was

identified on each Chips

listing in Table

from

of 1986

the

two

with

a new

1986:

pack-

chips

of the

asymmetric

bad

I/O

the MOSIS

run

from

Foundry in the

from

2 were

pass

also fabricated in zero percent

2. The first

JPL

than

(DQ1-4).

resulted

problem

better

cell did not

lines

with

packaged

zero

metal

Fault

percent

fabrication

Chips

(Section

runs. 1 and

for integration

7.2 along

and

this was considerably

of results

Foundry

of all deliveries

incorporated

50 percent

at Foundry

yield

by comparison of the

run

1. The

coverage

matrix.

circuit

This

fabricated

to 50 percent by a step

sampler

of February

tests;

However,

MOSFET

end

to consistently

as those

run M61P).

timing

About

Foundry

in the

at the

cells.

all screening

]

sizes

the

delivered.

due

(MOSIS

from

SRAM

CRRES

in March

is shown

chip.

resulting

fabricated

complete

on the

yield

yield,

CRRES

removed

for the

yield

and

was

wafers

SELECT

transistor

placed

asymmetrical

cell parts

qualification

MOSIS

four

and

20 percent

various

2 submission

and

symmetrical the

was

Foundry

symmetric

of the

oscillator strip

parts

COLUMN

II

into

of JPL the

2 runs the

CRRES

expected

were

MEP

sent and

Chips total

dose

to the to serve

to the before

CRRES

pro-

as spares.

CRRES failure

A

program for these

CHAPTER

180

7.

CRRES

PROJECT

9.0 --_

9.0

m

_--

]

IEZ]l

±

5/'//J ii// wwww

9.0

i///

T

////.

]

T

(9/3) 19/91

O I-1

t

r7 (6/3) (6/9) D

= DIFFUSION

Figure

Table

7.2:

Process

_

7.6: Geometry

JPL

CRRES

Fail-Dose

of cells

Chip

in MOSFET

deliveries

Breadboard

= POLYSILICON

to the

Flight

GATE

Matrix.

CRRES

program.

Flight

SEU

TID

(Spare)

JPL

AFWL

krad(Si) (De-Lidded) A (VTI2)

15

4(b)

l(b)

B (VTI2)

15

4(b)

l(b)

4(b) .....

!(_b)

C (VTI!) (a)

= 12-18-85;

_15 ......... (b)

= 3-11-86;

9(a) .....

(c) = 3-15-86

6(c) 4(¢)

10

7.3.

CRRES

CHIP

DESCRIPTION

181

BINARY OUTPUT

DECODER

000

I

I

I LATCH E

,, _1,

A v

1,, v

L

000

Clb

T

E

/

\

i O

T

CIa

T

C2a T

C2b

/----X

I

/

\

\)_XXXXX

l

\XXXXYX

_1_ I .... I I_ _1 .... I_ _ : RESET'-F'ARM-IDE DATALAY I- DATA- I_ESE-ITI_ARM - I_ELAy--I-Tipr Figure

7.7:

JPL

VALID

CRRES

Chip

Tipf Timing

Sampler

Circuit.

VALID

182

CHAPTER

7.

CRRES

PROJECT

..........lilll i......... °°o°°°o

i ii:i _:_

,=°.oo_

,

! I,l[llkl li I

i

:::

r:_

I

_

1%

"

!

:

:

D

P-WELL

TO

P

LESS THAN

I'--I_.,_ox/r LJDIF

parts.

These

Before

the

L--J

Figure

7.8:

parts

parts

acterized space.

with

the

The

placement

and

1987

and

There

are

several

7.4

the

rate

accuracy

:

in the

SRAM

BETWEEN

at

board.

for the diagram

JPL

in the

was

performed

made

on the

on JPL

results

7.2 along

Chips as seen

char-

of test

in Figure the

indicated

cells.

fully

7.3 shows

generated,

of measurements

were

for analysis

interface

interface,

designed

they

is shown

CRRES

this

cell.

symmetrically

Table

Chip

PULLDOWN

GROUND

SRAM

shipped,

MEP

JPL

CRRES

AND

-

METAL

with

for each

about

__-J

4 kbit

were

in the

circuit

concerns

CONTACT

_P_

archived

expected

NO

......

chips

MEP/JPL

--.L

i

satellite

data

rate

a complete

the

1 kbit

of the

dose of the

errors

m

TRANSISTORS

_LY

for the

and

dose

uary

affect

the

location

An analysis

may

Design

used

expected

RULE

_

intended

electrically

from

DIFFUSION

DESIGN

7 P-WmLL

F

I 11

!

chip/board MEP. in Jan-

in Figure the

figure,

CRRES

7.12. which

Chips.

SRAM

The

SRAM

tri-state is the

test

I/O

pads),

six-transistor

Functional SRAM

circuit

patterns

testing

(Figure

7.3) is accessed

using

4 control

static

cell typically

of the

of all ones,

SRAM all zeros,

lines

and used

through

64 16-bit

6 address

lines.

for radiation

is conducted walking

using ones,

and

hard a DAS walking

words The

(through

memory

cell

applications. 9100. zeros

Standard are

used

ORIGINAL OF POOR

7.4.

PAGE IS QUALITY

SRAM

183

UNSTAINED

P-WELL EDGE

"__

(AS DESIGNED)

STAINED

P÷ DIFFUSION P-WELL _ AS DES EDGE _ AS FABRICATED

Figure

7.9:

matrix

decoder

Encroachment circuitry.

of the

p-well

into

the

p+diffusion

in the

transistor

184

CHAPTER

7.

CRRES

ORIGINAL

PAGE

OF POOR

QUALITY

PROJECT

UNSTAINED

P-WELL EDGE (AS DESIGNED)

I

STAINED

,I,.'(io00xSEM SUPERIMPOSED) _ '

P-WELL I AS DESIGNED EDGE [ AS FABRICJ

Figure cell. more

7.10: Note lateral

Expansion

in the

of the

superimposed

diffusion

in this

p-well

around

cross-section process

than

design on the

depth.

boundaries lower

picture

in the that

SRAM there

is

IS

ORIGINAL

PAGE

IS

OF POOR

QUALITY

SRAM

7.4.

185

_f/NITRIDE

INTERLEVEL OXI DE METAL "--"

THERMALOXI DE FIELD OXI DE

SILICON VOIDS IN INTERLEVEL OXIDE

METALTHINNING AT STEP

fjNITRIDE INTERLEVEL OXIDE --,------METAL "---

THERMALOXI DE FIELD OXI DE

8000X SEM MICROGRAPH (CROSS SECTION) Figure tributed expected

7.11:

Voiding

to any that

in the

particular this

could

interlevel failures

lead

oxide. which

to long-term

This

were

seen

reliability

was on

not

shown

this

problems.

run,

to have however,

conit is

ORIGINAL OF POOR

CHAPTER

186

7.

CRRES

PAGE IS QUALITY

PROJECT

ID

vO n

: lOOK TSI TSE

2_

EN

VG

ENID

VOID

vo

vG

6 rs

DATA

OUT

xT

XT

_I

TSBE2 TSBEI

RAM

RAM WEEP

SENSE SV

BUS

SO OUT SENSE

5S 10v

BUS

_

NO

DUT NO.

oo

WEEP

2

DUT

NO

2

qALL_

)I_S WSAI

8E

.

BOARD

ENAOLE.

TlS

-

TRISTATE

(I}

IN

DISABLE

STATE

OUTPUT

(2)

IN

DISABLE

STATE

AOOR

AND

_31

IN

DISABLE

STATE

WEEP

LINES

(4)

THESE

TWO

RESISTORS

LOW

MUST

..

RAM

DATA

BE

DESELECTED

t JNE$

HELD

LOW

REMOVED

Figure 7.12: Circuit diagram The notes indicate concerns, the

$

I

JPL

CRRES

Chips

and

F LOAT •

UNLESS

INSURES OR

XT

CHIP

CIRCUIT

THESE

RESlSTORS

ARE

_NSTALLED

DEESLECTEO, WILL

NOT

WORK

of one pair of JPL as of January, 1987, the

MEP.

CRRES Chips on the MEP. about the interface between

VD SOURCE FEEOBACK

7.4.

SRAM

Table

7.3:

187

Chip

placement

and

Process

and

the

test

Ground JPL's

using

2A, 2B

devices

This

writing

each

cell, counting

used total

for the of how

nominal

performed

the

is performed

are

using

measured.

pattern

and

the

number

of times

then

Tests were chips from the were cell

CRRES was

with

developed

each

of these

SEU

rate

modeling,

proceedings

of the

both

to find

types

a method

of cells along 1986

balanced

with

Nuclear

The zeros

Dosimetry rate and stored,

SEU will

test be

in the written

MEP into

analysis

and

Space

during

periods

of this

December 7.5. will

the

1986)

be similar SRAM

and

to the the

7.14. was

Effects and

then

the ground

number

of by

writing

test

fixture

of specific

unbalanced The

data

for

Work

done

on

published Conference

text

a

on CRRES in these tests

The

statistics.

data,

angle

zeros) and keeps with the measured

cyclotron Included

and

Radiation

and

The

cells.

SEU 7.13

a

destruc-

A record

unbalanced

in Figures

the

will be provided by the cross section. In addition, except

and

(SEU),

is exercised

and

occurred.

calculated.

for increasing

is shown

Transactions on Nuclear Science, included in this report as Section all

reading

has

also performed at the UC Berkeley 88-inch foundry runs that are included in the MEP. chips

test

rays

n- or p-well

energy

of all ones (or this data, along

ion fluence, the upset rate and cross section are cell upset locations was not kept in this test.

Upset

of

is con-

cosmic

a potentially

under

continuously an upset

CRRES chip writes a pattern many cells have upset. From

Event

beam

device

Nichols

testing

in all CMOS

a known The

Such

Single

found

Don

of primary

latch-up,

device

a test

MEP.

of 2MHz.

and

514). effects

and

rate

Smith

(Section

effects

p-n-p-n

ion fluence

of the

Rate

operating

by Ted

Section These

boards

8

of a flip-flop

parasitic

test

the

[34].

for the

(krad(Si)/year) 340

> 1) to simulate

in state

of the

with

was

(Z

rate

Dose

SRAM's

Reliability

ions

change

technologies.

at the

Parts

triggering

initially

B, C

heavy

non-destructive

incidence

1A, 1B

testing

dose

Placement

A

radiation

on semiconductor tive

Board

is performed

Electronic

ducted

expected

of this test.

of upsets

in the (IEEE paper

is

All ones

or

counted.

MEP, which allows for calculation of upset the upset location within the SRAM will be

of high

upset

rates

(i.e.

solar

flares).

188

m

m

E :::L 0 q)

CHAPTER

6001

I JPL CRRES

I

500

0

ZERO

/_

ONE

1 CHIP

1 VTI2

i

7.

I

1

1

I

170 MeV

Br 60 °

o ° z_

241 MeVKr0

170 MeV

400

Br 0 ° p-MOSFET

DRAIN

300 CI 60 °

200 n-MOSFET

DRAINS

0 100

82 MeV

CI 0 °

0 0

0.1

LINEAR

Figure

7.13:

0.2

0.3

CHARGE

Symmetrical

cell,

I !

82 MeV ffJ 0

PROJECT

TOTAL

i 0 I,0

CRRES

I

I

0.4

0.5

TRANSFER,

lk SRAM

I 0.6

0.7

ion upset

response.

L =

heavy

0.8

7.4.

189

SRAM

1500 JPL

CRRES

CHIP

VTI2 170 MeV

Br 60 °

TOTAL m

Ixl p-MOSFET DRAIN

E --1 ¢D 0

1000

t_

170 MeV

i

241 Me V Kr 0 °

0 I--w m m ffl 0

Br 0 °

500 82 MeV CI 60 °

u,I ffl

82 MeV

LINEAR Figure

7.14:

n-MOSFET

CI 0 °

CHARGE

Asymmetrical

cell,

TRANSFER, lk SRAM

DRAINS

°° (°°t

L= _ heavy

sec 0

ion upset

_-_

response.

ORIGINAL

PAGE

IS

OF POOR QUAi-ITY

190

CHAPTER

Paper

Presented

Space

Radiation

IFFF

on

Pran_,hlion,

AA

Nuclear

_ol

S_lcnvc.

ANAIYTICAL

_ETIIOD

NS

FOR

at

the

}3,

No

SRAN

G,

Martin

and

heavy-ion-induced (SRA.H)

deslgn

of

goal uric

reuse

the

area

environment

will

indicate

be

of

into and

a

The test

than

Radiation

cell

L --4

increasing cell,

for

the Fig.

was

1.

Six-transistor

Combined

access

memory

ceils the

with JPL

at

(SEU)

test

I

as

a

the

static

Specially rates

upset

chip

of

cell.

(SRAH) et,hanced

characterizing

rate

the

a

part

of

to

memory

be

is

b

in

Package

Release SRAHs

and are

because makes

the

detection

increase (Fig. both

l) the

upset

was

designed

pull

up

rate

is

low

Mpa

and

2).

times.

The

With

but

modifi,'ation

to

pull

down

In

=

5

V

a

cell

shown

set

in

Fig.

]

raised

is

upsets.

Fig,

3

This

of ceil

the

maximum

].6

to

over

requires

al.

approach

that initial

the

approach

of

current

pulse

one

approach, current

author_ }

is

must

determinin

R

a

node.

at

be

cell

17.2

SRAM

cells

used

current

concerned

with

no

The

a

on

to

expression

differences

the

in

cell

follows

our

the for

upset SPICE

large

the

for

"syrametrical"

CMOS

analysis.

simulate

well

Jaeger

expression of

state-space

between lie

that

analytical charge

reasonably

analysis

learned

an

critical

pulse

analytical

four

recently

derived

based

j

current

Jaeger

approach

of

treatr_nt

critical

They and

their

current-pulse pulses. and voltages

-]

I

l

-,......... . .

ril" .................4i ,

.

: :.......

--m

::lml

;T=' ......... - Jl

z

1 VDD

VOD Bil

GND

BIT

l'"'"

dimensions

2.

Asyrm_trical are

experimental given

in

in

Table

memory 2

except

cell

pulse.

have

also the

approach

4, i

usual a

the

calculating

steps.

WORD

the

an

The

_

Fig,

to The

suggest

from

derived

curves.

'*node

in

node

the

be

seen

while

which

IB0

a

analy£i_2

As

can and

injecting

of

et. for

Mnb

[rom

with

such

To

regions

design,

increase the

VDD for

Va

the

by

nature

ceil drain

increase

aI]

from

state-space

this

dil[i(ult.

this

to

processing

flight

rate,

six-transistor

the

estimated

space

oversize

kbitSR&H-year

additional

rates the

with

at

voltage

of

upset

(CRRES).

[or upset

upset

tare,

(Fig.

upsets/l

choice

a

trajectories

slope

Combined

Satellite

of very of

the

transistors upset

a

the

Of

Effect_

memory have

notation.

the

(HEP)

Radiation the

they

calculated and

voltage

critical

the

included

were

trajectories.

held

critical

contrast Hicroelectronics

rates approach

resulting

state-space

designed are

a

random

upset

release"

of node

directed

is

cell

(CRRES). The

effort

memory

Release

and

This

static

designed

Introduction

single-event-upset

!

experi-

rate

upsets/

the

Sateli:te

the

kblt-year)

(l.b

for

....

the

the

the

upset

SRA2_

intended Effeccs

for

the

asymmetrical

chip

01109

space

upsets/l

(17,2

balanced

khit-year).

Technology

space

by

rate

upset

larger

minimLLm-geometry i

the

times

a

in a

CELLS

to

in

for

MEMORY

access to

achieved

ts

model

AS_,_IETRICAL

the

where order

transistors

cell

4.7

in

upsets

analytical

asy_etrical

mental

random

cells

observed

selected

the

predict

applied

rate

asyrm'netry

of

from

static was

upset

of

The

drain

Results

to

asy_etrical the

nu_lber

of

method

with

increase

envirorunent. the

The

mem >

23.0

363

I

-_

..,I"3 _

300 -1 25o 2.00

i t,:'o° I o.6o

J'/

121

O0 0.O0

1.OO

200

3.00

400

000

5.00

1 O0

200

3 O0

4 O0

5.00

VG(V)

VG(V) VD= 5.00 450 400

VG 5.00 4.75 4.50 4.25 4.O0 3.75

531

443

3.50 3.00 250 2.00

354

3.50 3.25 300 275 2.50 2.25 200 1,75 1.50 1.25 1.00 0.75 0.50 0.25 0.05

A

1,50 I O0 060

_.266

020 005

177

89

0 000

I 00

200

300

400

000

5 00

1 O0

2.00

3 O0

400

500

VD(Vl

VGIV)

372

I 31oF I I

>-

I

>0186L

r I

;Oo

=

/II//A

1 O0

200

3.00

4.00

I

I

" 4.0

z

:ED< ¢

"62

r

.,_,.._..._..__

I O0

MG(VI 300

400

5.00

3.25 3.00

.._ 292 -

2.50 2,75 2.25

150 1 O0

I 2.00

t 3.00

t 4.0o

2.00 1.75 1.50 1 25 1.00

135

--

I 0.00 1.00

n-Channel (bottom)

0.50 0.75 0.25

97

0

5o0

0.00

100

2.0o

3.00

4.0o 5.0o

0.05

VD(VI

MOSFET after

VG 5.00 4.75 4.50

389

060

7.0

tion curves

o.2oo os

4.25 4.00 3.75 3.50

6.0

7.16:

200

1oo 1"50 o.eo

467

VGIV)

Figure

1

4.00

250 200

80

f_

584

0,20 0.05

T

r

VD = 5.00 450

5.0 _

"_

4 oo s 5o

122

3.50 3.00

_ ¢

_

0.00

_

= _._

200

350 4.00

5.00

MG(V) l

5.00

450 4.00 35o 300

.

2.50

//////,'/._=_=_

0,00 30

'

0.20 o.6o 1oo 15o

j-//////_ "/////_3"00 /////////_

= I-124

.___

5

/JA ///I ////I ////j

pre-irradiation

10 krad(Si)

curves

at 2.5 rad(Si)/sec).

(top)

and

post-irradia-

7. 7.

TIMING

IOOuA

SAMPLER

I

I

199

I

I

I

I

I

|

|

I

I

10. uA _DOSE

RATE = 2.5 Rad Si)/s

i.0uA

, CHIP 1 100hA

tO. nA

i.0nA

,

0. InA

i

PRERAD

l

,

I

i

l

_

1.0

7.17:

CRRES

I

,

I0 DOSE C0-60,

Figure

i

Chip

leakage

I00

kRAD (Si) versus

total

I

dose.

200

CHAPTER

Table

BETA:

THRESHOLD:

7.5:

Comparison

of n-MOSFET ROW

ROW

PARAMETER

#2

#3

VB

= O,-2.5

TRANSISTOR

ROW %

#4

%

2)

50.84

48.81

4

50.46

1

1.290

0.797

38

1.353

-5

DELTA

L(_m)

1.018

0.931

9

1.091

-7

VT0(V)

0.715

0.679

5

0.719

-1

PSI(V)

0.069

0.027

61

0.066

4

0.834

0.842

-1

0.842

-1

0.053

0.077

-45

0.051

4

0.060

0.06

0

0.074

-23

°s) × #m)

-.054

0.24

544

-.062

-15

KWGB(Izm)

0.104

0.084

-71

0.121

-16

D0(V

x #m)

0.299

0.331

-11

0.315

-5

KLD(I_m)

°'s)

0.694

0.723

-4

0.636

8

KWD(#m)

0.272

0.112

59

0.138

49

THETA(1/V)

0.039

0.049

-26

0.044

-13

KLT(#m/V)

0.074

0.058

22

0.065

12

RW(_

LAMBDA:

Results.

W(#m)

KWG(V

EPSILON:

Test

PROJECT

DELTA

KLGB(#m)

ETA:

CRRES

KP(uA/V

KLG(V

TAU:

Matrix

TRANSISTOR

GAMMA(V

DELTA:

7.

725.41

596.28

18

646.6

11

H0(1/V)

x _um)

0.047

0.049

4

0.049

4

KLH(t_m/V)

0.309

0.254

18

0.419

-36

E0(1/V)

0.056

0.056

0

0.057

2

KLE(I_m/V)

0.586

0.592

-1

0.566

3

L0(1/V)

0.005

0.002

60

0.004

20

KLL(_m/V)

0.100

0.108

-8

0.099

1

KWL(#m/V)

0.021

0.001

52

0.017

19

V; PHI

= 0.6 V

GEOMETRIES:

W(#m)/L(lzm)

= 9/3,

9/9,

6/9,

6/3

7. 7.

TIMING

Table

SAMPLER

7.6:

- BE]-TA:

THRESHOLD:

201

n-MOSFET

Matrix

TRANSISTOR PARAMETER

Ok

lk

gb{UA/V:_i

50.84

49.54

3

1.290

1.049

W(#m)

DELTA

L(#m)

VT0(V) PSI(V) GAMMA(V

°5) × #m)

KLGB(#m) KWG(V DELTA:

TAU:

EPSILON: LAMBDA:

x #m)

=

0,-2.5

TRANSISTOR

V;

(Si)) %

10k

53.40

-5

49.23

3

19

1.437

-11

1.002

22

%

DOSE 5k

(krad

Results.

%

1.018

1.054

-4

0.998

2

0.996

0.715

0.681

5

0.612

14

0.421

41

2

0.069

0.033

52

-.031

145

-.287

516

0.834

0.837

-4

0.83

5

0.914

-10

0.053

0.049

8

0.060

0.074

0.071

-34

-.028

-23

0.067

-12

0.126

153

300

-.301

457

0.114

-10

-10

0.426

-43

-110

-.054

-.045

-17

-.216

0.104

0.133

-28

0.1

D0(V

0.299

0.3

0

0.33

KLD(#m)

0.694

0.635

9

0.744

-7

0.926

-33

KWD(pm)

0.272

0.388

0.248

9

0.245

10

THETA(1/V)

0.039

0.035

0.04

-3

KLT(#m/V)

0.074

0.081

-10

0.062

16

0.07

5

725.41

813.2

-12

579.25

20

707.2

H0(1/V)

0.047

0.105

-123

KLH(#m/V)

0.309

0.528

-71

E0(1/V)

0.056

0.051

9

KLE(#m/V)

0.586

0.596

L0(1/V)

0.005

KLL{#m/V)

°s)

x #m)

KWL(#m/V) VB

Test

KWGB(#m}

RW(i2 ETA:

Radiation

TOTAL

DELTA

KLG(V

Cobalt-60

PHI

=

0.6

GEOMETRIES:

-43 10

4

0.045

-15

-126

0.341

-10

0.194

37

0.057

-2

0.058

-4

-2

0.593

-1

0.603

-3

0.003

40

0.005

0

0.005

0

0.100

0.098

2

0.103

-3

0.103

-3

0.021

0.001

52

0.019

10

0.012

43

9/9,

6/9,

V W(#m)/L(l_m)

= 9/3,

6/3

0.206

3

0.106

-338

202

CHAPTER

Table

7.7:

BETA:

THRESHOLD:

DELTA:

TAU:

ETA: EPSILON: LAMBDA:

p-MOSFET

Matrix

Cobalt-60

TRANSISTOR PARAMETER

Ok

KP-(u-A/V_i DELTA W{#m) DELTA L(#m) VT0{V) PSI(V) GAMMA(V °5) KLG(V x pro} KLGB(#m) KWG(V × pro) KWGB(#m) D0(V °'5} KLD(pm) KWD(#m) THETA(I/V) KLT(#m/V) RW(fl x #m) HO(I/V} KLH(#m/V) E0(1/V) KLE(pm/V) L0{1/V) KLL(pm/V) KWL{pm/V}

18.03 0.527 1.112 0.776 0.425 0.453 0.081 0.117 0.159 0.104 0.25 0.428 0.425 0.099 0.073 2038 0.47 0.845 0.043 0.313 0.018 0.174 0.039

Radiation

TOTAL lk 18.61 1.075 1.026 0.809 0.462 0.448 0.087 0.108 0.163 0.094 0.204 0.482 0.116 0.106 0.047 1270 0.198 0.625 0.043 0.283 0.014 0.187 0.037

7.

%

DOSE 2k

-3 -104 8 -4 -9 1 -7 8 -3 10 18 -13 73 -7 36 38 58 26 0 10 22 -7 5

CRRES

Test (krad

18.41 0.898 1.082 0.835 0.502 0.431 0.067 0.108 0.189 0.122 0.230 0.414 0.009 0.113 0.049 1323 0.258 0.741 0.036 0.268 0.013 0.184 0.028

Results.

(Si)) % 5k

-2 -71 3 -8 -18 5 17 8 -19 -17 8 3 98 -14 33 35 45 12 16 14 28 -6 28

VB = O,2.5 V; PHI = 0.6 V TRANSISTORGEOMETRIES:W(#m)/L(pm) = 9/3, 9/9, 6/9, 6/3

PROJECT

17.23 0.835 1.209 0.893 0.541 0.455 0.052 0.098 0.358 0.073 0.201 0.215 -.191 0.I03 0.053 1551 0.1 1.326 0.034 0.273 0.016 0.174 0.032

% 4 -58 -9 -15 -27 -0.4 36 16 -125 30 20 50 145 -4 27 24 79 -57 21 13 11 0 18

7. 7.

TIMING

1.8

SAMPLER

--

[]

1 6 _--

_"

:VBS=0,

._

mV/kRAD

SLOPE=-30.9

_

(Si),

mV/kRAD

DOSE RATE=

_

VTI2,

1.2 _-_---

CHIP#l,

VTo-0.674V (Si],

2.5

VTo_=1.47V

RAD(Si)/S W = 6#tm,

_]_.,_-CHANNEL

,.o--_0.8

SLOPE_-30.0

O :VBS=-2.5,

1 4 (_ •

203

-L=3k(rr,

MOSFET

: -_

--

-=

0.6(_

o.4 o __,,, 1,,,,1,,,,i,,,,i,,,, -0.2

i,,,,i,_f,l,l_,l,l,,ll,,,_

--

-0.4

-

[]

:VBS--0 SLOPE=-34.7

-__--

O:VBS:2.5

mV/kRAD(Si),

SLOPE=-34.5

VTo=-0.762V

mV/kRAD(Si),

-

VT o :-1.11V

--

-o._-0.8 [ _ Z

DOSE '-'__.._.._

VTI2,

-1_0(__

_,._-_--_ __

_

_

RATE : 2.5 RAD(Si)Is CHIP#l,,

L=3/_m

W:6_,lm,

P-CHANNEL

---

MOSFET

-_

-1.6 -1.8

_

-2.o

__

,,, I,,,,I,JJ 0

3

, I,,_,1,,,,

6

9

I,,,,1

12

15

DOSE Co-60 Figure

7.18: Threshold

MOSFETs.

The

gate

voltage voltage

versus was

,,,,1_,,, 18

21

h-_,, I,,,,24

27

(KRAD)

dose for n- (top)

5 V during

:

irradiation.

and p-channel

(bottom)

30

204

CHAPTER

7.7.1

Test

The

CRRES

ers

Hardware

chip timing

grouped

sampler

to one input

of a dynamic

timing

sampler

input

pad

the

(TSE).

timing

sampler

of applying pins), the

then

number

to the delay

The

chain

the

timing

sampler

input

6-bit the

error

The

wafer

employ and

(delay

between

output

word.

by

has

then

is less

to N. Figure

TSI

rate

each

(START)

by

The

N and

7.19

which

to tap

that

adjusts when

the

on TSI

output through

technology

the

measurement

VLSI this

chain

delay

tripped.

quantization

inverter-pair

the

100

a stop

between

is measured

is greater relationships.

on

is repeated

start

timing

error

transition

from

output

lab

inverter-pair

sequence

the output

and

output. This inverter-pair

on the

when

in the

converter,

JPL

by

TSE

reflects

pairs

This

and

and

of inverter

followed

to

consists

word

64 taps

D0-D5.

is increased

decreased

illustrates

TSI

output

edges

eliminates of the

N on the

circuit

delay

in the

and

the

stop

previous

than

or

equal

When

the

h I

I TSE

OUT

(STOP)

)

N

I

I

I

I

I RESET

I ARM II

DATA

DELAY#1

VALID ] (OUT

2 . 62

3

10

**********

13

*************

13

*************

2.73

4 +

2

3.08 3.19

i 0

3.31

I

3.42

0

Figure

7.22:

Positive

*

1

STDEV 0.360

*********

9

2.96

3.54

ns

+

2

2.39

2.53

20

+ .........

0 -

2.27

MEAN

(ram)

0

2.04

2.85

! 2.5

OBSERVATIONS

i0

+ .........

2.50

PAIR ARRAY

t 2.0

OBS.

(ns)

2.16

60

PAIR NUMBER

1.0 DISTANCE

I_

% ns

edge

*

STDEV 14.1

MEDIAN 2.50

inverter-pair

MINIMUM ns

1.30

delta

MAXIMUM ns

data

3.60

ns

from

one

chip.

7. 7.

TIMING

Table

7.8:

SAMPLER

Summarized

209

data

from

the

timing

samplers

on four

Wafer #1 (9 sites tested) % STDEV MEDIAN MINIMUM 4.16 2.71 2.57 0 0.9999 0.9995 3.97 2.58 2.42 0 0.9999 0.9998 3.97 2.68 2.54

wafers.

TDP PR2 TDN NR2 TDPAVG

'EAN 2.72 0.9998 2.57 0.9999 2.69

STDEV 0.113 0 0.102 0 0.107

TDPSIG TDNAVG TDNSIG

0.27 2.56 0.20

0.03 0.104 0.03

TDP PR2 TDN NR2 TDPAVG TDPSIG TDNAVG TDNSIG

MEAN 2.61 0.9999 2.46 0.9999 2.58 0.26 2.44 0.20

STDEV 0.158 0 0.134 0.0006 0.159 0.03 0.135 0.04

Wafer #4 _ STDEV 6.05 0 5.43 0.062 6.16 13.3 5.54 20.0

(41 sites tested) MEDIAN MINIMUM 2.61 2.29 0.9999 0.9997 2.46 2.18 0.9999 0.9995 2.59 2.26 0.26 0.15 2.45 2.14 0.20 0.13

MAXIMUM 2.94 0.9999 2.73 0.9999 2.92 0.32 2.71 0.28

TDP PR2 TDN NR2 TDPAVG TDPSIG

MEAN 2.65 0.9999 2.48 0.9999 2.62 0.28

STDEV 0.179 0 0.27 0.0005 0.173 0.05

Wafer #5 % STDEV 6.76 0 11.04 0.047 6.59 17.1

(70 sites tested) MEDIAN MINIMUM 2.65 2.31 0.9999 0.9997 2.51 0.56 0.9999 0.9993 2.62 2.29 0.27 0.22

MAXIMUM 3.64 0.9999 3.22 0.9999 3.54 0.61

TDNAVG TDNSIG

2.49 0.19

0.141 0.05

5.68 27.6

2.50 0.19

3.15 0.56

TDP PR2 TDN NR2 TDPAVG TDPSIG TDNAVG TDNSIG

MEAN 2.80 0.9999 2.66 0.9999 2.76 0.27 2.65 0.18

STDEV 0.131 0 0.126 0 0.127 0.04 0.119 0.02

Wafer #10 (9 sites tested) % STDEV MEDIAN MINIMUM 4.70 2.81 2.56 0 0.9999 0.9998 4.75 2.67 2.43 0 0.9999 0.9998 4.59 2.76 2.53 14.8 0.26 0.22 4.51 2.64 2.43 10.8 0.19 0.15

11.0 4.05 " 15.3

0.28 2.56 0.19

0.22 2.41 0.15

2.21 0.10

MAXIMUM 2.86 0.9999 2.69 0.9999 2.83 0.31 2.68 0.25

MAXIMUM 3.02 0.9999 2.87 0.9999 2.98 0.34 2.85 0.21

CHAPTER

210 viation tions

computed

from

is specified

PR2/NR2

are

the

correlation

small,

data.

with

inverter-pair

a standard

delays

in Figures

are

displayed

the

actual

locations

that

were

the

fastest

circuits

would

be

If a microprocessor, gate delays, of the wafer processors the

is due

first

in the the

to the

the

channel to length

be expressed

cannot

41 boxed These

wafer

side

delay

per

clock

#4

numbers

maps

left

are

show

on

that

the

wafer.

cycle

ratio

This

difference

was

80

r (r = 5/3

on CRRES

of intrinsic

n-channel

delays and

chip). and

a fanout

of 2.

transistor

in

transistor

If these

fanouts

were

would

be equal.

The

transition

p=channel

and

of the p-channel This

to the of each

p-channel

negative

delays n-channel

to n-channel

inverter-pair

p-channel

than

inverters.

inverter

drives

the

as the

ratio

is due

the n-channel

of 2).

positive as well the

9 MHz. larger

in the first

inverter

(fanout

and

the

edge,

transition

between

only

difference

of 1) while

output

run

transistors

second

(fanout

imbalance

could

is 5 to 6 percent

in which

the

negative

difference

wafer

is a positive

the

loading

in terms

obtained to be inverter

afford

counter.

delay

transistor

can

delays

Tn

[2].

from accurate delays

the

Since

pairs

(inverter-pair

to within

standard

the delay

the satellite

data

all have minus

CRRES

and robust. on a satellite

to include

the inverter results

on

Conclusions

data

approach measure

pair

and

mobility

vp respectively

The

the over

0.2 ns.

lower

p-channel

design

of 1 and

drives

positive

of the

and

the output

inverter

of the transitions

transitions.

n-

sampler's

inverter

of the delay

7.7.3

the

fits for

variation

transitions

wafer.

computational

negative

a fanout

drives

then

is a function width

from

line

delay

The

on this

portion

of the

timing

to the

second

transistor

negative

respectively.

for positive

for

times

inverter

magnitude

and

delay

input

same,

7.24

to the

average

transi-

respectively.

of less than

and

obtained

right

delay

drives

So, if the

the

deviation

measured

longest

upper

response

inverter-pair the

the

inverter-pair

This

and

input

was fabricated on this run, processors from the lower left portion could run at a maximum clock frequency of around 11.5 MHz but

inverter-pair

different

7.23

whose

from

The

that

for positive

PROJECT

TDPSIG/TDNSIG,

corresponding

Notice

CRRES

for positive/negative

and

coefficients

transition

is very

The

data

by TDPAVG/TDNAVG

positive/negative a wafer

the inverter-pair

7.

type

obtained

the same delay

one

least

chip

timing

sampler

demonstrates

This structure provides that has power and weight lab

test

from

one

delay

= 100 ns/# significant

equipment timing

(±0.4ns), stages bit.

the

such

sampler

as a frequency array

procedure

tripped)

this

an easy way to limitations and

should

shows

that

performed

on

give accurate

ORIGINAL

PAGE

OF POOR

7. 7.

TIMING

12

v

ii

v

I0

v

9

v

8

v

7

v

6

v

5

V

4

v

SAMPLER

211

-:

3

2

v

v

1

>












9 9 4

+

3 3

2.88

1

Wafer

to

4

2.82

0.159

ns

ns

1 -

STDEV ns

than

4

2.75

2.57

less

OBSERVATIONS

+ ......... 2

2.25

0:2.25

% ns

map

STDEV

MEDIAN

6.15

of the

2.58

average

MINIMUM ns

inverter-pair

2.25

MAXIMUM ns

delay

2.92

for

ns

positive

IS

QUALITY

edges

ORIGINA[ OF POOR

CHAPTER

212

>




















< ii i0

12

NUMBER

OF

0

2.16

2

**

3

***

3

***

2.33

2

**

2.39

5

*****

2.22 2.27

-

2.45

>

11

2.50

Figure

7.24:

(Wafer

4).

******

4

****

2.62

2

**

2.68

3

***

+

STDEV 0.135

Wafer

13

ns

ns

to

2

19

ns

i:

ns

to

2

25

ns

2:2.25

ns

to

2

30

ns

3:2.30

ns

to

2

36

ns

4:2.36

ns

to

2

42

ns

5:2.42

ns

to

2

48

ns

6:2.48

ns

to

2

53

ns

7:2.53

ns

to

2

59

ns

8:2.59

ns

to

2

65

ns

9:2.65

ns

to

2

71

ns

+:

_s

or

greater

2.19

2.71

map

% ns

20

+ .........

+

***********

6

2.56

ns

than

OBSERVATIONS

i0

+ .........

MEAN

less

OBS.

(ns)

2.44

2

0:2.13

STDEV 5.54

of the

MEDIAN 2.45

average

MINIMUM ns

inverter-pair

2.13

MAXIMUM ns

delay

2.71

ns

for negative

edges

PAGE' iS QUALITY

7.8.

CONCLUSIONS

7.8

Conclusions

The

major

for

inclusion

parts

goal

In this was

of the

on

have

design

the

J_elivered

report

period,

violations

incorporated

SEU

tests

of the

The

modification

minimum

design

parameters and

transistor

mode

7.9 The

functions

a TID chip

This

CRRES is being

in order

SRAM

consist

cell,

matrix

work

on MOSFET

leakage

currents.

report

circuitry

mandated

electrical

does high

depletion

from

were

a factor performed

to cause

cell

confirm

except

that are

for

transistor

a highly

transistors. interfere

dose

upset,

geometries.

period

matrix

not

Results

by foundry-specified

tests

individual

circuitry

chip done

Cobalt-60

in any

causes

suc-

the

way

with

n-channel

en-

mode.

will be split

into

since

SRAMs

This

for upgrading will greatly

and

60 testing

work

simplify

test

are on

an SEU

needed

SEUs.

be desired.

Chip

in a satellite

For the

The

and

TID

CRRES Chip

will

sampler.

to study

is essential

two chips,

data

would

timing

measurements

functional of the

many

statistical

10 Mbits and

is planned matrix

capabilities Cobalt

in the

a sufficiently

we calculate

devices Plans

not changed

to get sufficient

of a MOSFET

Experimental

the

design

is almost

tests

required

in an addressed

to become

rate

these

ways:

cell

Work

of the

Chip.

experiment

upset

energy

to testing

decoder

the Since

SEU.

between

transistors

until

Future

that

important

SRAM

of seeing

to AFGL Additional,

program.

in two

ratio

from

alternative

CRRES

minimum

ancillary Results

from

devices

probability

the

has

of the

1986.

asymmetrical

cell.

parts

in March

part

the

cr0ss-section

in the

measurements

hancement

above

was to provide

was changed

and

balanced

design

the

design

cell indicate

spacings.

indicate

test

overall

of the

matrix

preferable

results

the

to the

extracted

ground

SRAM

substantially

correspond

a slight

test

that

project

accomplished

eliminated

asymmetrical

transistor

cessful

the

chip

was

to the

were

than

levels

results

CRRES This

to increase

greater

at energy

JPL

MEP.

been

rule

of three the

213

the

radiation

to establish to evaluate capabilities

and

expedite

MOSFET

matrix

effects the

potential

of the

specific design

are underway. heavy and

ion timing

testing sampler.

field-oxide

cause

of chip

changes.

Improved of the

test SRAM

214

CHAPTER

7.10

CRRES

This

section

user

of the 1.

Chip

contains JPL

CRRES

pin-outs

CRRES Chip

PIN

Test and

7.

CRRES

Configuration

connection

diagrams

PROJECT

Pin to serve

as

Outs

a guide

chip.

Leakage

Measurement

Pin

STATE

Configuration

FUNCTION

PIN

FUNCTION

PIN

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

VDD XT VPS SRAM A7 XT VG INV OUT INV SUB INV VDD INV p-GATE INV VSS INV WELL XT WELL INV n-GATE SPARE SPARE TS I TS E SPARE SPARE SPARE

VDD VDD GND GND NC VDD VDD GND GND GND GND GND GND GND GND GND GND GND GND

33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51

SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM

DQ12 DQ11 DQ10 DQ9 DQ8 DQ7 DQ6 DQ5 DQ4 DQ3 DQ2 DQ1 DQ0 S W E EP A5 A4

GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND

20 21 22 23 24 25 26 27 28 29

SPARE SPARE SPARE TS DO TS D1 TS D2 TS D3 TS D4 TS D5 GND

GND GND GND NC NC NC NC NC NC GND

52 53 54 55 56 57 58 59 60 61

SRAM SRAM SRAM SRAM XT EN SRAM XT R1 XT R0 XT CO XT C1

A3 A2 A1 A0

GND GND GND GND GND GND GND GND GND GND

62 63 64

XT C2 XT ID XT VD

30 SRAM DQ15 GND 31 SRAM DQ14 GND 32 SRAM DQ13 GND NC = NO CONNECTION TS = TIMING SAMPLER XT = TRANSISTOR MATRIX SRAM = STATIC RANDOM ACCESS INV = INVERTER

PIN

MEMORY

A6

GND NC NC

STATE

to

a

7.10.

2.

CRRES

CRRES ures

CHIP

Chip

TEST

Pin

7.1,

7.3,

PIN

FUNCTION

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

CONFIGURATION

and

Configuration

for

PIN

VDD XT VPS SPARE XT VG INV OUT INV SUB INV VDD INV p-GATE INV VSS INV WELL XTWELL INV n-GATE SPARE SPARE TS I TS E SPARE SPARE SPARE SPARE SPARE SPARE TS DO TS D1 TS D2 TS D3 TS D4 TS D5 GND

S, SRAM

SRAM

OUTS

215

Operation.

See

also

7.25. STATE

VDD VDD GND GND NC VDD VDD GND GND GND GND GND GND GND GND GND GND GND GND GND GND GND NC NC NO NO NC NC GND

30 SRAM DQI5 (0,1) 31 SRAMDQ14 (0,1) 32 SRAM DQ13 (0,1) NC = NO CONNECTION TS = TIMING SAMPLER XT = TRANSISTOR MATRIX SRAM = STATIC RANDOM ACCESS INV = INVERTER *SRAM

PIN

W, SRAM

E, AND

PIN

FUNCTION

33 34 35 36 37 38 39 40 41 42 43 44 45 *46 *47 *48 *49 50 51 52 53 54 55 56 57 58 59 60 61

SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAMS SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM SRAM XT EN SPARE XT R1 XT R0 XT CO XTC1

62 63 64

XT C2 XT ID XT VD

DQ12 DQII DQI0 DQ9 DQ8 DQ7 DQ6 DQ5 DQ4 DQ3 DQ2 DQ1 DQ0 W E EP A5 A4 A3 A2 A1 A0

PIN

STATE

(0,I) (0,I) (0,I) (0,1) (0,I) (0,I) (0,I) (0,I) (0,I) (0,1) (0,1) (0,1) (0,1) *(0,1) *(0,1) *(0,1) *(0,1) (0,1) (0,1) (0,1) (0,1) (0,1) (0,1) GND GND GND GND GND GND GND NC NC

MEMORY SRAM

EP, SEE TIMING

DIAGRAM

Fig-

ORIGINAL PAGE IS OF POOR QUALITY

216

BLOCK

CHAPTER

7.

CRRES

PROJECT

DIAGRAM:

AO A1

55 ._

0-,,-_ e,---

,_

S2

_"--

A5 AS

50 57

_"-_

A7

3

44

DQ1

OTHER

31

DQ14

STANDBY

IO_30

PINS

IN

CONDITION

DO15

_'-'-_

! 1 VDD

LLJ,1 2tl

48474849

GND

S

W

E

EP

TIMING DIAGRAM: READ

CYCLE

WRITE

CYCLE

/

S

w_--_

w x_L/ I.,,-• --,,_,_-----".-_,,._-.

EP

_._

__

,:-,,.l

d_' ON

P-XT

ON

N-XT

OFF

TG

\

ore

/

ON

/

P-XT

OFF

_

N-XT

OFF

_

OFF

OFF TG

B

OFF

OFF

f

ON

_

A_

OFF

OFF

B

;_Z

OFF

A xZi_'

II _

10@ ns

e >

100

b

400nl

f ,,_

400m

II ;_

400

>

© ;>

400

a_

d