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Title: Simple extrapolation method to predict the electronic structure of conjugated polymers from calculations on oligomers

Abstract

In this study, we introduce two simple tight-binding models, which we call fragment frontier orbital extrapolations (FFOE), to extrapolate important electronic properties to the polymer limit using electronic structure calculations on only a few small oligomers. In particular, we demonstrate by comparison to explicit density functional theory calculations that for long oligomers the energies of the highest occupied molecular orbital (HOMO), the lowest unoccupied molecular orbital (LUMO), and of the first electronic excited state are accurately described as a function of number of repeat units by a simple effective Hamiltonian parameterized from electronic structure calculations on monomers, dimers and, optionally, tetramers. For the alternating copolymer materials that currently comprise some of the most efficient polymer organic photovoltaic devices one can use these simple but rigorous models to extrapolate computed properties to the polymer limit based on calculations on a small number of low-molecular-weight oligomers.

Authors:
 [1]
  1. National Renewable Energy Lab. (NREL), Golden, CO (United States)
Publication Date:
Research Org.:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Solar Energy Technologies Office
OSTI Identifier:
1253911
Report Number(s):
NREL/JA-2C00-65033
Journal ID: ISSN 1932-7447
Grant/Contract Number:  
AC36-08GO28308
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. C
Additional Journal Information:
Journal Volume: 120; Journal Issue: 18; Related Information: Journal of Physical Chemistry C; Journal ID: ISSN 1932-7447
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
14 SOLAR ENERGY; 36 MATERIALS SCIENCE; electronic structure; donor-acceptor copolymer; organic photovoltaics; polythiophene; Huckel theory; tight binding; effective Hamiltonian; frontier molecular orbitals

Citation Formats

Larsen, Ross E. Simple extrapolation method to predict the electronic structure of conjugated polymers from calculations on oligomers. United States: N. p., 2016. Web. doi:10.1021/acs.jpcc.6b02138.
Larsen, Ross E. Simple extrapolation method to predict the electronic structure of conjugated polymers from calculations on oligomers. United States. https://doi.org/10.1021/acs.jpcc.6b02138
Larsen, Ross E. Tue . "Simple extrapolation method to predict the electronic structure of conjugated polymers from calculations on oligomers". United States. https://doi.org/10.1021/acs.jpcc.6b02138. https://www.osti.gov/servlets/purl/1253911.
@article{osti_1253911,
title = {Simple extrapolation method to predict the electronic structure of conjugated polymers from calculations on oligomers},
author = {Larsen, Ross E.},
abstractNote = {In this study, we introduce two simple tight-binding models, which we call fragment frontier orbital extrapolations (FFOE), to extrapolate important electronic properties to the polymer limit using electronic structure calculations on only a few small oligomers. In particular, we demonstrate by comparison to explicit density functional theory calculations that for long oligomers the energies of the highest occupied molecular orbital (HOMO), the lowest unoccupied molecular orbital (LUMO), and of the first electronic excited state are accurately described as a function of number of repeat units by a simple effective Hamiltonian parameterized from electronic structure calculations on monomers, dimers and, optionally, tetramers. For the alternating copolymer materials that currently comprise some of the most efficient polymer organic photovoltaic devices one can use these simple but rigorous models to extrapolate computed properties to the polymer limit based on calculations on a small number of low-molecular-weight oligomers.},
doi = {10.1021/acs.jpcc.6b02138},
journal = {Journal of Physical Chemistry. C},
number = 18,
volume = 120,
place = {United States},
year = {Tue Apr 12 00:00:00 EDT 2016},
month = {Tue Apr 12 00:00:00 EDT 2016}
}

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Cited by: 26 works
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Works referenced in this record:

The path to ubiquitous and low-cost organic electronic appliances on plastic
journal, April 2004


Highly Phosphorescent Bis-Cyclometalated Iridium Complexes:  Synthesis, Photophysical Characterization, and Use in Organic Light Emitting Diodes
journal, May 2001

  • Lamansky, Sergey; Djurovich, Peter; Murphy, Drew
  • Journal of the American Chemical Society, Vol. 123, Issue 18
  • DOI: 10.1021/ja003693s

White Organic Light-Emitting Devices for Solid-State Lighting
journal, September 2004

  • D'Andrade, B. W.; Forrest, S. R.
  • Advanced Materials, Vol. 16, Issue 18, p. 1585-1595
  • DOI: 10.1002/adma.200400684

Realization of a blue-light-emitting device using poly(p-phenylene)
journal, January 1992


Electroluminescence from oligothiophene-based light-emitting devices
journal, December 1993

  • Geiger, Friedhelm; Stoldt, Marion; Schweizer, Heinz
  • Advanced Materials, Vol. 5, Issue 12
  • DOI: 10.1002/adma.19930051210

Charge Transport in Organic Semiconductors
journal, April 2007

  • Coropceanu, Veaceslav; Cornil, Jérôme; da Silva Filho, Demetrio A.
  • Chemical Reviews, Vol. 107, Issue 4
  • DOI: 10.1021/cr050140x

Thienothiophenes, Dithienothiophenes, and Thienoacenes: Syntheses, Oligomers, Polymers, and Properties
journal, April 2015

  • Cinar, Mehmet Emin; Ozturk, Turan
  • Chemical Reviews, Vol. 115, Issue 9
  • DOI: 10.1021/cr500271a

Electron and Ambipolar Transport in Organic Field-Effect Transistors
journal, April 2007

  • Zaumseil, Jana; Sirringhaus, Henning
  • Chemical Reviews, Vol. 107, Issue 4, p. 1296-1323
  • DOI: 10.1021/cr0501543

Thieno[3,4- c ]pyrrole-4,6-dione Containing Copolymers for High Performance Field-Effect Transistors
journal, May 2013

  • Wu, Qinghe; Wang, Mao; Qiao, Xiaolan
  • Macromolecules, Vol. 46, Issue 10
  • DOI: 10.1021/ma400544s

Temperature and gate voltage dependence of hole mobility in polycrystalline oligothiophene thin film transistors
journal, May 2000

  • Horowitz, Gilles; Hajlaoui, Mohsen E.; Hajlaoui, Riadh
  • Journal of Applied Physics, Vol. 87, Issue 9
  • DOI: 10.1063/1.373091

All-organic optoelectronic sensor for pulse oximetry
journal, December 2014

  • Lochner, Claire M.; Khan, Yasser; Pierre, Adrien
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6745

Rational Design of High Performance Conjugated Polymers for Organic Solar Cells
journal, January 2012

  • Zhou, Huaxing; Yang, Liqiang; You, Wei
  • Macromolecules, Vol. 45, Issue 2
  • DOI: 10.1021/ma201648t

Polymer solar cells
journal, February 2012


25th Anniversary Article: A Decade of Organic/Polymeric Photovoltaic Research
journal, September 2013


Plastic photovoltaic devices
journal, September 2004


Recyclable organic solar cells on cellulose nanocrystal substrates
journal, March 2013

  • Zhou, Yinhua; Fuentes-Hernandez, Canek; Khan, Talha M.
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01536

Solar cell efficiency tables (Version 45): Solar cell efficiency tables
journal, December 2014

  • Green, Martin A.; Emery, Keith; Hishikawa, Yoshihiro
  • Progress in Photovoltaics: Research and Applications, Vol. 23, Issue 1
  • DOI: 10.1002/pip.2573

Design Rules for Donors in Bulk-Heterojunction Solar Cells—Towards 10 % Energy-Conversion Efficiency
journal, March 2006

  • Scharber, M. C.; Mühlbacher, D.; Koppe, M.
  • Advanced Materials, Vol. 18, Issue 6, p. 789-794
  • DOI: 10.1002/adma.200501717

The Next Breakthrough for Organic Photovoltaics?
journal, December 2014

  • Jackson, Nicholas E.; Savoie, Brett M.; Marks, Tobin J.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 1
  • DOI: 10.1021/jz502223t

Recent Advances in Bulk Heterojunction Polymer Solar Cells
journal, August 2015


Charge-Transfer and Energy-Transfer Processes in π-Conjugated Oligomers and Polymers:  A Molecular Picture
journal, November 2004

  • Brédas, Jean-Luc; Beljonne, David; Coropceanu, Veaceslav
  • Chemical Reviews, Vol. 104, Issue 11
  • DOI: 10.1021/cr040084k

Why Holes and Electrons Separate So Well in Polymer/Fullerene Photovoltaic Cells
journal, October 2011

  • McMahon, David P.; Cheung, David L.; Troisi, Alessandro
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 21
  • DOI: 10.1021/jz201325g

Integrating theory, synthesis, spectroscopy and device efficiency to design and characterize donor materials for organic photovoltaics: a case study including 12 donors
journal, January 2015

  • Oosterhout, S. D.; Kopidakis, N.; Owczarczyk, Z. R.
  • Journal of Materials Chemistry A, Vol. 3, Issue 18
  • DOI: 10.1039/C5TA01153A

Imide/amide based π-conjugated polymers for organic electronics
journal, December 2013


The Harvard Clean Energy Project: Large-Scale Computational Screening and Design of Organic Photovoltaics on the World Community Grid
journal, August 2011

  • Hachmann, Johannes; Olivares-Amaya, Roberto; Atahan-Evrenk, Sule
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 17
  • DOI: 10.1021/jz200866s

Efficient Computational Screening of Organic Polymer Photovoltaics
journal, April 2013

  • Kanal, Ilana Y.; Owens, Steven G.; Bechtel, Jonathon S.
  • The Journal of Physical Chemistry Letters, Vol. 4, Issue 10
  • DOI: 10.1021/jz400215j

Electronic structure of conducting polymers: Limitations of oligomer extrapolation approximations and effects of heteroatoms
journal, July 2003


Optical Bandgaps of π-Conjugated Organic Materials at the Polymer Limit: Experiment and Theory
journal, January 2007

  • Gierschner, J.; Cornil, J.; Egelhaaf, H. -J.
  • Advanced Materials, Vol. 19, Issue 2
  • DOI: 10.1002/adma.200600277

Electronic Properties of Vinylene-Linked Heterocyclic Conducting Polymers: Predictive Design and Rational Guidance from DFT Calculations
journal, August 2011

  • Wong, Bryan M.; Cordaro, Joseph G.
  • The Journal of Physical Chemistry C, Vol. 115, Issue 37
  • DOI: 10.1021/jp204849e

Bandgap calculations for conjugated polymers
journal, March 2004


From Oligomers to Polymer:  Convergence in the HOMO−LUMO Gaps of Conjugated Oligomers
journal, November 2006

  • Zade, Sanjio S.; Bendikov, Michael
  • Organic Letters, Vol. 8, Issue 23
  • DOI: 10.1021/ol062030y

A combined semiempirical-DFT study of oligomers within the finite-chain approximation, evolution from oligomers to polymers
journal, June 2009

  • Derosa, Pedro A.
  • Journal of Computational Chemistry, Vol. 30, Issue 8
  • DOI: 10.1002/jcc.21150

Theoretical Investigations on Donor–Acceptor Conjugated Copolymers Based on Naphtho[1,2-c:5,6-c]bis[1,2,5]thiadiazole for Organic Solar Cell Applications
journal, December 2012

  • Zhang, Linghai; Pei, Ke; Yu, Mudan
  • The Journal of Physical Chemistry C, Vol. 116, Issue 50
  • DOI: 10.1021/jp306656c

Computational engineering of low bandgap copolymers
journal, January 2013

  • Wykes, Michael; Milián-Medina, Begoña; Gierschner, Johannes
  • Frontiers in Chemistry, Vol. 1
  • DOI: 10.3389/fchem.2013.00035

Benzodithiophene and Imide-Based Copolymers for Photovoltaic Applications
journal, March 2012

  • Braunecker, Wade A.; Owczarczyk, Zbyslaw R.; Garcia, Andres
  • Chemistry of Materials, Vol. 24, Issue 7
  • DOI: 10.1021/cm2038427

What I like about Hückel theory
journal, January 2006

  • Kutzelnigg, Werner
  • Journal of Computational Chemistry, Vol. 28, Issue 1
  • DOI: 10.1002/jcc.20470

Reviewing Extrapolation Procedures of the Electronic Properties on the π-Conjugated Polymer Limit
journal, July 2012

  • Torras, Juan; Casanovas, Jordi; Alemán, Carlos
  • The Journal of Physical Chemistry A, Vol. 116, Issue 28
  • DOI: 10.1021/jp303584b

New insights on the nature of two-dimensional polarons in semiconducting polymers: Infrared absorption in poly(3-hexylthiophene)
journal, June 2014

  • Pochas, Christopher M.; Spano, Frank C.
  • The Journal of Chemical Physics, Vol. 140, Issue 24
  • DOI: 10.1063/1.4882696

An ad hoc tight binding method to study the electronic structure of semiconducting polymers
journal, October 2009


Density of States and Wave Function Localization in Disordered Conjugated Polymers: A Large Scale Computational Study
journal, March 2011

  • Vukmirović, Nenad; Wang, Lin-Wang
  • The Journal of Physical Chemistry B, Vol. 115, Issue 8
  • DOI: 10.1021/jp1114527

Parameter free calculation of the subgap density of states in poly(3-hexylthiophene)
journal, January 2014

  • Frost, Jarvist M.; Kirkpatrick, James; Kirchartz, Thomas
  • Faraday Discuss., Vol. 174
  • DOI: 10.1039/C4FD00153B

Carbazole-Based Copolymers: Effects of Conjugation Breaks and Steric Hindrance
journal, April 2011

  • Kim, Jinseck; Kwon, Young Soo; Shin, Won Suk
  • Macromolecules, Vol. 44, Issue 7
  • DOI: 10.1021/ma102467w

5,10-Dihydroindolo[3,2- b ]indole-Based Copolymers with Alternating Donor and Acceptor Moieties for Organic Photovoltaics
journal, February 2013

  • Owczarczyk, Zbyslaw R.; Braunecker, Wade A.; Garcia, Andres
  • Macromolecules, Vol. 46, Issue 4
  • DOI: 10.1021/ma301987p

Ethynylene-Linked Donor–Acceptor Alternating Copolymers
journal, April 2013

  • Braunecker, Wade A.; Oosterhout, Stefan D.; Owczarczyk, Zbyslaw R.
  • Macromolecules, Vol. 46, Issue 9
  • DOI: 10.1021/ma400238t

Cyclopenta[c]thiophene-4,6-dione-Based Copolymers as Organic Photovoltaic Donor Materials
journal, April 2014

  • Owczarczyk, Zbyslaw R.; Braunecker, Wade A.; Oosterhout, Stefan D.
  • Advanced Energy Materials, Vol. 4, Issue 11
  • DOI: 10.1002/aenm.201301821

A survey of Hammett substituent constants and resonance and field parameters
journal, March 1991

  • Hansch, Corwin.; Leo, A.; Taft, R. W.
  • Chemical Reviews, Vol. 91, Issue 2
  • DOI: 10.1021/cr00002a004

Transport Properties in the Rubrene Crystal: Electronic Coupling and Vibrational Reorganization Energy
journal, April 2005

  • da Silva Filho, D. A.; Kim, E. -G.; Brédas, J. -L.
  • Advanced Materials, Vol. 17, Issue 8
  • DOI: 10.1002/adma.200401866

Absolute Rate of Charge Separation and Recombination in a Molecular Model of the P3HT/PCBM Interface
journal, December 2010

  • Liu, Tao; Troisi, Alessandro
  • The Journal of Physical Chemistry C, Vol. 115, Issue 5
  • DOI: 10.1021/jp109130y

Relationship between Molecular Structure and Electron Transfer in a Polymeric Nitroxyl-Radical Energy Storage Material
journal, July 2014

  • Kemper, Travis W.; Larsen, Ross E.; Gennett, Thomas
  • The Journal of Physical Chemistry C, Vol. 118, Issue 31
  • DOI: 10.1021/jp501628z

Synthesis and Characterization of 5-Octylthieno[3,4- c ]pyrrole-4,6-dione Derivatives As New Monomers for Conjugated Copolymers
journal, January 2011

  • Berrouard, Philippe; Grenier, François; Pouliot, Jean-Rémi
  • Organic Letters, Vol. 13, Issue 1
  • DOI: 10.1021/ol1027514

Understanding Low Bandgap Polymer PTB7 and Optimizing Polymer Solar Cells Based on It
journal, March 2014


Structural and Conformational Dispersion in the Rational Design of Conjugated Polymers
journal, January 2014

  • Jackson, Nicholas E.; Savoie, Brett M.; Kohlstedt, Kevin L.
  • Macromolecules, Vol. 47, Issue 3
  • DOI: 10.1021/ma4023923

Works referencing / citing this record:

Electronic Structure Trumps Planarity: Unexpected Narrow Exciton Delocalization in PNDIT2 Revealed by Time-Resolved Electron Paramagnetic Resonance (EPR) Spectroscopy
journal, January 2018

  • Meyer, Deborah L.; Matsidik, Rukiya; Sommer, Michael
  • Advanced Electronic Materials, Vol. 4, Issue 3
  • DOI: 10.1002/aelm.201700385

Message-passing neural networks for high-throughput polymer screening
journal, June 2019

  • St. John, Peter C.; Phillips, Caleb; Kemper, Travis W.
  • The Journal of Chemical Physics, Vol. 150, Issue 23
  • DOI: 10.1063/1.5099132

Influence of conjugation length on ultrafast electronic tunneling in organic semiconductor thin films
journal, January 2018

  • Duong, Vincent V.; Ayzner, Alexander L.
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 38
  • DOI: 10.1039/c8cp04746d

Machine learning-based screening of complex molecules for polymer solar cells
journal, June 2018

  • Jørgensen, Peter Bjørn; Mesta, Murat; Shil, Suranjan
  • The Journal of Chemical Physics, Vol. 148, Issue 24
  • DOI: 10.1063/1.5023563