Additional Comparison of QM and ReaxFF Data ... - Caltech Authors

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Supporting information for the manuscript “A ReaxFF Reactive Force Field for. Molecular ... Comparison of reaction energetics obtained from QM and ReaxFF.
Additional Comparison of QM and ReaxFF Data Included in the ReaxFF Training Set Supporting information for the manuscript “A ReaxFF Reactive Force Field for Molecular Dynamics Simulations of Hydrocarbon Oxidation” by Kimberly Chenoweth, Adri C.T. van Duin and William A. Goddard, III Table 1. Comparison of reaction energetics obtained from QM and ReaxFF. Reaction

ReaxFF

QM

Dehydrogenation H 3C

H 3C

H 3C

H 3C

H2 C

H2 C

H2 C

C H2

C H2

CH3

C C C C

OH

H3C

C O H

H 3C

H C C O

H2 C

+ 4 H2

C O H

+

H C C OH +

H2C C C O

H2

H2

+

H2

-149.7

-150.2

-47.2

-21.0

-41.6

-30.2

-92.7

-80.4

C=O bond dissociation H3C

C O

H3C H3C

H 3C

C

+

O

142.7

183.7

C

+

O

161.4

183.2

175.7

180.5

O

170.7

183.1

O

161.0

177.4

H 3C C O

H 3C

H

H

H C O H

H

+

C

O

H

HO C O H

C

+

H

HO C O H3C

HO

HO C H 3C

+

HO

HO

C O

+

C

HO

O

HO

147.2

157.9

173.7

178.8

159.8

156.1

146.5

122.7

142.0

91.6

139.6

52.6

44.1

48.5

98.0

89.0

69.5

53.6

70.6

65.0

19.4

35.7

33.3

43.9

74.6

66.9

97.1

85.7

110.9

107.8

C=C bond dissociation CH2 +

H2C CH2

HO

HO H

CH2

C CH2

HO

H

HO

OH

HO

OH

HO

OH

HO

C C HO HO C C HO

CH2

C

+

C

C

+

C

+

H OH

H

OH

HO

+

HO

H C C

H

C H

H C OH OH C OH

O-O bond dissociation H H H

O O O

H 3C

H 3C H H

O O

H3C O

O

O O

H

2 OH

H

H

O O O O

O

O

O

CH3

+ H

O +

O2

O

O

O

H 3C

CH3

HO +

CH3

H

+

H

O

C-H dissociation

O

+ CH3

OCH3 +

O

H3C O

O

2 OCH3

CH3

O

H

2 O2

O

O

CH3 + H

+

H

H3C OH

H2C OH

H 2C O

HC O

HC

O OH

-95.5

-101.4

-100.0

-100.7

-80.0

-95.0

-104.6

-104.9

-104.0

H

-83.7

-114.6

OH

-91.5

-95.8

-171.9

-172.1

-266.7

-253.9

-61.8

-40.0

-57.9

-43.4

+

H

+

+

H

-88.5

H O

C

OH

H-O bond dissociation H3C OH

HC

+

H 3C O

O

HC

OH

O

+

H

O

C-O bond dissociation H3C OH

+

H 2C

H2C O

C O

+

H 3C

+

C

O

O

Other Reactions H2C O

HC

O OH

HC OH

OH C OH

C-H bond dissociation C(H)x-1(OH)y(CH3)z +

C(H)x(OH)y(CH3)z

H

where x + y + z = 4

x

y

z

1

0

3

102.36

100.67

1

1

2

102.55

95.94

1

2

1

97.86

96.83

1

3

0

106.97

100.01

2

0

2

106.05

99.14

2

1

1

103.83

98.79

2

2

0

99.10

103.14

3

0

1

107.16

100.18

3

1

0

101.39

106.96

4

0

0

111.00

111.58

C-OH bond dissociation C(H)x(OH)y-1(CH3)z +

C(H)x(OH)y(CH3)z

OH

where x + y + z = 4

x

y

z

0

1

3

80.28

92.70

0

2

2

85.69

94.54

0

3

1

86.55

100.51

0

4

0

101.05

106.27

1

1

2

86.67

93.91

1

2

1

87.86

95.90

1

3

0

81.00

104.02

2

1

1

87.33

94.32

2

2

0

83.91

95.94

3

1

0

92.26

93.58

Reactions not included in training the force field but observed during the simulations H2C

H C

CH2

H3C

CH2

CH3

H 3C

H 3C

CH3

CH3

CH2 O

C O H

CH2

H C

H C

H 2C

+

CH2

CH2

H2C CH

+

O2

CH3

+

CH4 +

4.24

4.14

30.97

21.90

44.82

89.52

88.49

100.49

80.96

46.13

59.33

CH3

CH2 O

H C

20.32

H

CH3 HO2

+

CH2O

+

H

HO C O

CO

+

OH

30.43

33.25

HO C O

CO2

+

H

17.22

6.56

HO C O

HC

11.40

-11.47

26.69

13.21

O O

CO2

+

H

CO

+

OH

Figure 1. Comparison of ReaxFF and QM energies for (a) C-C bond dissociation and (b) C=O bond dissociation.

(a)

60

Relative Energy (kcal/mol)

300

DFT Doublet ReaxFF H 3C CO

50

CH 3

+

CO

Relative Energy (kcal/mol)

70

40 30 20

H 3CC O

250

0.5

1.5

2.5 3.5 4.5 C-C Bond Distance (Å)

+

O

150 100

0

5.5

CCH 3

200

50

10 0

(b)

DFT Doublet DFT Quartet ReaxFF 0.5

1.5

2.5 3.5 4.5 C=O Bond Distance (Å)

5.5

Figure 2. ReaxFF and QM angle distortion energies for (a) C=C-O, (b) H-C=O, (c) O=C-O, (d) C-C-O, (e) H-O-C, (f) O-C-O, (g) H-C-O, and (h) C-O-C.

Relative Energy (kcal/mol)

35

(a)

30 25 20 15 10

(b)

25

QM ReaxFF

20 15 10 5

5 0

30

QM ReaxFF

Relative Energy (kcal/mol)

40

70

90 110 130 150 C=C–O Valence Angle (degrees)

170

0

70

90 110 130 150 H–C=O Valence Angle (degrees)

170

50

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

40 30 20 10 0

70

35

170

25 20 15 10 5

-5

70

90

110

130

150

170

20 10

(g)

15 10 5 0 -5

70

90

110

130

H–C–O Valence Angle (degrees)

150

(f)

170

QM ReaxFF

30 20 10

70

60

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

20

90 110 130 150 C–C–O Valence Angle (degrees)

40

0

QM ReaxFF

25

70

50

H–O–C Valence Angle (degrees) 30

QM ReaxFF

30

60

QM ReaxFF

(d)

40

0

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

90 110 130 150 O=C–O Valence Angle (degrees)

(e)

30

0

50

QM ReaxFF

(c)

90 110 130 O–C–O Valence Angle (degrees)

(h)

50

150

QM ReaxFF

40 30 20 10 0

70

90 110 130 150 C–O–C Valence Angle (degrees)

170

Figure 3. ReaxFF and QM distortion energies for various dihedral angles.

14

Relative Energy (kcal/mol)

3

2

10

4

12

Relative Energy (kcal/mol)

1

12

14

QM ReaxFF

8 6 4 2

-120

-60

0

60

O–C–C–O Dihedral Angle (degrees)

10

4

3

1

6 4

2

0

-180

4 2

-120

-60

0

60

120

O–C–O–O Dihedral Angle (degrees)

180

QM ReaxFF -120

-60

0

60

120

180

O=C–O–O Dihedral Angle (degrees) 10

QM ReaxFF

2

4

6

180

2 Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

120

1

8

-180 -2

-180

8

10

0

0

3

2

8

3

1

QM ReaxFF 4

6 4

2

0

-180

-120

-60

0

60

120

O–O–O–O Dihedral Angle (degrees)

180

10

8

1

2

3

4

4

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

9

5

QM ReaxFF

7 6 5 4 3 2

1

2

QM ReaxFF

3 4

3

2 1

1 0

-180

-120

-60

0

60

C=C–C=C Dihedral Angle (degrees)

45

180

QM ReaxFF

40 35

1

30

2

3

4

25 20 15 10

8

60

120

C–C=C–C Dihedral Angle (degrees)

180

1

8

2

3

2

7 6 5 4 3 2

3

4

4 3 2

-120

-60

0

60

1 -120

-60

0

60

120

C=C–C=O Dihedral Angle (degrees)

2

3

1

7

180

QM ReaxFF

4

6 5 4 3 2 1

-1-180

180

120

C–C–C–C Dihedral Angle (degrees)

8

0

QM ReaxFF

180

QM ReaxFF

9

4

120

5

-180

Relative Energy (kcal/mol)

9

-180

60

10

10

0

0

6

0

0

1

7

0

-60

-60

C–C–C=C Dihedral Angle (degrees)

9

1 -120

-120

10

5 -180

Relative Energy (kcal/mol)

-180

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

120

0

-120

-60

0

60

120

-2

C–O–C=C Dihedral Angle (degrees)

180

10

8

1

3

2

7

4

6 5 4 3 2

14

8 6 4

0

-60

0

60

120

C–O–C–C Dihedral Angle (degrees)

1

8

2 4

7

14

QM ReaxFF

3

6 5 4 3 2

12

0

-180

-120

-60

0

60

1

3

120

180

QM ReaxFF

4

2

6 4

2

3

4

1

4 3 2

-120

-60

0

60

120

C–O–O–C Dihedral Angle (degrees)

45

QM ReaxFF

5

40

1

35

2

3

180

QM ReaxFF 4

30 25 20 15 10 5

1 -180

60

8

-180

180

6

0

0

10

0

Relative Energy (kcal/mol)

7

120

C–O–C–O Dihedral Angle (degrees)

10

8

-60

2

1

9

-120

C–O–C=O Dihedral Angle (degrees)

Relative Energy (kcal/mol)

9

-180

180

1

4

10

0

-120

QM ReaxFF

2

3

12

2

10

Relative Energy (kcal/mol)

16

1 -180

Relative Energy (kcal/mol)

18

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

9

20

QM ReaxFF

-120

-60

0

60

120

O–O–O–C Dihedral Angle (degrees)

180

0

-180

-120

-60

0

60

120

H–C=C–C Dihedral Angle (degrees)

180

4 3

2

3

4

1

2 1

0

-180

-120

-60

0

60

120

H–C–C=C Dihedral Angle (degrees)

40

180

1

25

3

2

4

15 10 5

40

Relative Energy (kcal/mol)

35

-120

-60

60

120

H–C=C–H Dihedral Angle (degrees)

1

3

20 15 10 5 0

-180

-120 -60 0 60 120 H–C=C–O Dihedral Angle (degrees)

4

1

-120 -60 0 60 120 H–C–C–C Dihedral Angle (degrees)

2 1

4

180

180

QM ReaxFF

3 4

3 2

1

0

180

4 2

2

2

-180

-120

-60

0

60

120

H–C–C–H Dihedral Angle (degrees)

5

QM ReaxFF

30 25

0

Relative Energy (kcal/mol)

-180

3

5

20

0

1

QM ReaxFF

3

-180

Relative Energy (kcal/mol)

30

4

0

QM ReaxFF

35

Relative Energy (kcal/mol)

5

QM ReaxFF Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

5

QM ReaxFF

4 3

4

2

180

1

3

2 1

0

-180

-120

-60

0

60

120

H–C–C–O Dihedral Angle (degrees)

180

5

3

4

2

1

3

2 1

0

-180

-120

-60

0

60

1

4

2

3

5 4 3 2 1 0

-180 -1

-120

-60

0

60

120

0

-180

180

4

5

3

2 1 0

-180 -1

-120

-60

0

60

120

-2

120

4

3

180

QM ReaxFF

2

7 6 5 4 3 2

15

-120

-60

0

60

120

H–O–C=C Dihedral Angle (degrees)

180

QM ReaxFF 4

3

2 1

10

5

180

0

H–O–C–C Dihedral Angle (degrees)

1

20

QM ReaxFF

3

60

H–C–O–C Dihedral Angle (degrees)

8

-180

4

0

1

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

6

-60

9

H–C–O–O Dihedral Angle (degrees) 1 2

-120

10

0

7

4

1

-2

8

3

2

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

7

QM ReaxFF

2

QM ReaxFF

3

180

H–C–O–H Dihedral Angle (degrees)

8

6

120

1

4

Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

4

5

QM ReaxFF

-180

-120 -60 0 60 120 H–O–C=O Dihedral Angle (degrees)

180

1

4

3

2

7

4

3

2 1

-180

-120

-60

0

60

120

1 2

8 7 6

3 4

2 1 -120

-60

0

60

120

1 0

8

3

0

60

1

6 5 4 3 2

120

180

3

QM ReaxFF 4

5 4 3 2

50

-120 -60 0 60 120 H–O–O–O Dihedral Angle (degrees)

4

1

40 35

180

QM ReaxFF

45

Relative Energy (kcal/mol)

2

-60

6

-180

QM ReaxFF

4

9

1 2

7

0

10

-120

1

180

H–O–O–H Dihedral Angle (degrees)

Relative Energy (kcal/mol)

2

H–O–O–C Dihedral Angle (degrees)

-2

3

2

30 25 20 15 10 5

1 -180

3

9

3

-1-180

4

10

4

0

1

-2

QM ReaxFF

5

0

2

3

QM ReaxFF

4

Relative Energy (kcal/mol)

9

7

5

180

H–O–C–O Dihedral Angle (degrees)

10

8

6

-180 -1

0

Relative Energy (kcal/mol)

8

QM ReaxFF Relative Energy (kcal/mol)

Relative Energy (kcal/mol)

5

0

-120

-60

0

60

120

O=C–C=O Dihedral Angle (degrees)

180

-180 -5

-120

-60

0

60

120

O–C=C–O Dihedral Angle (degrees)

180