Correction to Design Rule for Improved Open-Circuit

Addition/Correction www.acsami.org

Cite This: ACS Appl. Mater. Interfaces 2018, 10, 8391−8391

Correction to Design Rule for Improved Open-Circuit Voltage in Binary and Ternary Organic Solar Cells Nikolaos Felekidis, Armantas Melianas, and Martijn Kemerink* ACS Appl. Mater. Interfaces 2017, 9 (42), pp 37070−37077. DOI: 10.1021/acsami.7b08276 S Supporting Information *

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he original manuscript and its Supporting Information contained a number of minor errors listed below. These only relate to the temperature dependence of γ and have no effect on the extracted disorder values nor on any of the conclusions described in the main text. (1) The statement on page 37072 of the main text and page S-2 of the Supporting Information: “The validity of this model relies on γ being linearly dependent on 1/T2, as is the case for all the materials studied in this work...” is incorrect, and should instead read as “For all the materials studied in this work, γ is found to be linearly dependent on 1/T, following the empirical relation suggested by W. D. Gill1...” (2) The corresponding eq 2 on page S-2 in the Supporting Information is incorrect, and should instead read as

The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acsami.8b01517. J−V data and SCLC-GDM analysis of hole-only and electron-only devices; J−V data of ternary TQ1:(1− x)PC71BM:(x)IC60BA (0 ≤ x ≤ 1) BHJ OPVs; equilibrium state-filling, optical and transport model equations; short circuit current, fill factor, and power conversion efficiency for TQ1:(1−x)PC71BM:(x)IC60BA (0 ≤ x ≤ 1); parameter values for Figures 2, 4, and 5; Voc vs disorder corresponding to Figure 5; AFM images for TQ1:PC71BM:IC60B (PDF)

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⎤ ⎛ e 3 ⎞1/2 ⎡ 1 Nc 1 − γ (T ) = ⎜ E ⎥ ⎟ ⎢ ln trap (kT )2 ⎦ ⎝ πεε0 ⎠ ⎣ kT Nt

REFERENCES

(1) Gill, W. D. Drift Mobilities in Amorphous Charge-Transfer Complexes of Trinitrofluorenone and Poly-n-Vinylcarbazole. J. Appl. Phys. 1972, 43 (12), 5033−5040. (2) Murgatroyd, P. N. Theory of Space-Charge-Limited Current Enhanced by Frenkel Effect. J. Phys. D: Appl. Phys. 1970, 3 (2), 151.

which can obtained following the derivation of the following equation by P. N. Murgatroyd:2 J=

ASSOCIATED CONTENT

S Supporting Information *

1/2 ⎫ ⎧ ⎪ 0.891 ⎛ e 3V ⎞ ⎪ 9 V2 μϵϵ0 3 θ0exp⎨ ⎜ ⎟ ⎬ ⎪ ⎪ 8 L ⎩ kT ⎝ πεε0L ⎠ ⎭

θ0 =

Nc ⎛ −Etrap ⎞ exp⎜ ⎟ Nt ⎝ kT ⎠

where θ0 describes the fraction of free charges, Nc is the effective density of states in the conduction band, Nt is the effective density of traps, whereas Etrap refers to a single trap situated at energy Etrap below the conduction band edge. (3) The corresponding fits of γ vs 1/T2 in Figure S1 and Figure S3 have been fitted by the incorrect version of eq 2. The correct fits are shown here, where the data have been successfully fitted by the empirical relation suggested by W.D. Gill1: ⎡ 1 1 ⎤ γ (T ) = B ⎢ − ⎥ kT0 ⎦ ⎣ kT

where B and T0 are constant coefficients, see ref 1 for more details. The correct equations and updated Figures S1 and S3 have been integrated in the new version of the Supporting Information. In addition, they are shown below. Please note that ref 1 below is new, whereas ref 2 already appears in the manuscript as ref 26. © 2018 American Chemical Society

Published: February 21, 2018 8391

DOI: 10.1021/acsami.8b01517 ACS Appl. Mater. Interfaces 2018, 10, 8391−8391