Unraveling substituent effects on frontier orbitals of conjugated molecules using an absolutely localized molecular orbital based analysis
Abstract
It is common to introduce electron-donating or electron-withdrawing substituent groups into functional conjugated molecules (such as dyes) to tune their electronic structure properties (such as frontier orbital energy levels) and photophysical properties (such as absorption and emission wavelengths). However, there lacks a generally applicable tool that can unravel the underlying interactions between orbitals from a substrate molecule and those from its substituents in modern electronic structure calculations, despite the long history of qualitative molecular orbital theory. In this work, the absolutely localized molecular orbitals (ALMO) based analysis is extended to analyze the effects of substituent groups on the highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) of a given system. This provides a bottom-up avenue towards quantification of effects from distinct physical origins (e.g. permanent electrostatics/Pauli repulsion, mutual polarization, inter-fragment orbital mixing). For the example case of prodan (a typical dye molecule), it is found that inter-fragment orbital mixing plays a key role in narrowing the HOMO–LUMO gap of the naphthalene core. Specifically, an out-of-phase mixing of high-lying occupied orbitals on the naphthalene core and the dimethylamino group leads to an elevated HOMO, whereas an in-phase combination of LUMOs on the naphthalene core and the propionyl groupmore »
- Authors:
-
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California at Berkeley, Berkeley, USA
- Department of Chemistry and Biochemistry, University of Oklahoma, Norman, USA
- Publication Date:
- Research Org.:
- Q-Chem, Inc., Pleasanton, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1472197
- Alternate Identifier(s):
- OSTI ID: 1611613
- Grant/Contract Number:
- SC0011297; CHE-1665315
- Resource Type:
- Published Article
- Journal Name:
- Chemical Science
- Additional Journal Information:
- Journal Name: Chemical Science Journal Volume: 9 Journal Issue: 45; Journal ID: ISSN 2041-6520
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry
Citation Formats
Mao, Yuezhi, Head-Gordon, Martin, and Shao, Yihan. Unraveling substituent effects on frontier orbitals of conjugated molecules using an absolutely localized molecular orbital based analysis. United Kingdom: N. p., 2018.
Web. doi:10.1039/C8SC02990C.
Mao, Yuezhi, Head-Gordon, Martin, & Shao, Yihan. Unraveling substituent effects on frontier orbitals of conjugated molecules using an absolutely localized molecular orbital based analysis. United Kingdom. https://doi.org/10.1039/C8SC02990C
Mao, Yuezhi, Head-Gordon, Martin, and Shao, Yihan. Wed .
"Unraveling substituent effects on frontier orbitals of conjugated molecules using an absolutely localized molecular orbital based analysis". United Kingdom. https://doi.org/10.1039/C8SC02990C.
@article{osti_1472197,
title = {Unraveling substituent effects on frontier orbitals of conjugated molecules using an absolutely localized molecular orbital based analysis},
author = {Mao, Yuezhi and Head-Gordon, Martin and Shao, Yihan},
abstractNote = {It is common to introduce electron-donating or electron-withdrawing substituent groups into functional conjugated molecules (such as dyes) to tune their electronic structure properties (such as frontier orbital energy levels) and photophysical properties (such as absorption and emission wavelengths). However, there lacks a generally applicable tool that can unravel the underlying interactions between orbitals from a substrate molecule and those from its substituents in modern electronic structure calculations, despite the long history of qualitative molecular orbital theory. In this work, the absolutely localized molecular orbitals (ALMO) based analysis is extended to analyze the effects of substituent groups on the highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) of a given system. This provides a bottom-up avenue towards quantification of effects from distinct physical origins (e.g. permanent electrostatics/Pauli repulsion, mutual polarization, inter-fragment orbital mixing). For the example case of prodan (a typical dye molecule), it is found that inter-fragment orbital mixing plays a key role in narrowing the HOMO–LUMO gap of the naphthalene core. Specifically, an out-of-phase mixing of high-lying occupied orbitals on the naphthalene core and the dimethylamino group leads to an elevated HOMO, whereas an in-phase combination of LUMOs on the naphthalene core and the propionyl group lowers the LUMO energy of the entire molecule. We expect this ALMO-based analysis to bridge the gap between concepts from qualitative orbital interaction analysis and quantitative electronic structure calculations.},
doi = {10.1039/C8SC02990C},
journal = {Chemical Science},
number = 45,
volume = 9,
place = {United Kingdom},
year = {Wed Nov 21 00:00:00 EST 2018},
month = {Wed Nov 21 00:00:00 EST 2018}
}
https://doi.org/10.1039/C8SC02990C
Web of Science
Works referenced in this record:
Equation-of-Motion Coupled-Cluster Methods for Open-Shell and Electronically Excited Species: The Hitchhiker's Guide to Fock Space
journal, May 2008
- Krylov, Anna I.
- Annual Review of Physical Chemistry, Vol. 59, Issue 1
Energy decomposition analysis of single bonds within Kohn–Sham density functional theory
journal, November 2017
- Levine, Daniel S.; Head-Gordon, Martin
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 48
Influence of the electron donor groups on the optical and electrochemical properties of borondifluoride complexes of curcuminoid derivatives: a joint theoretical and experimental study
journal, January 2017
- Canard, Gabriel; Ponce-Vargas, Miguel; Jacquemin, Denis
- RSC Advances, Vol. 7, Issue 17
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
Variational nature of the frozen density energy in density-based energy decomposition analysis and its application to torsional potentials
journal, June 2014
- Wu, Qin
- The Journal of Chemical Physics, Vol. 140, Issue 24
A scale of directional substituent polarizability parameters from ab initio calculations of polarizability potentials
journal, April 1986
- Hehre, Warren J.; Pau, Chin Fong.; Headley, Allan D.
- Journal of the American Chemical Society, Vol. 108, Issue 7
Time-dependent density functional theory: Past, present, and future
journal, August 2005
- Burke, Kieron; Werschnik, Jan; Gross, E. K. U.
- The Journal of Chemical Physics, Vol. 123, Issue 6
Excited state substituent constants: to Hammett or not?
journal, September 2011
- Sadlej-Sosnowska, Nina; Kijak, Michał
- Structural Chemistry, Vol. 23, Issue 2
Theoretical Analysis of the Rotational Barrier of Ethane
journal, February 2007
- Mo, Yirong; Gao, Jiali
- Accounts of Chemical Research, Vol. 40, Issue 2
Substituent effects and excited state reactivity
journal, January 1979
- Baldry, Peter J.
- Journal of the Chemical Society, Perkin Transactions 2, Issue 7
Why do molecules interact? The origin of electron donor-acceptor complexes, hydrogen bonding and proton affinity
journal, August 1977
- Morokuma, Keiji
- Accounts of Chemical Research, Vol. 10, Issue 8
Energy decomposition analysis approaches and their evaluation on prototypical protein–drug interaction patterns
journal, January 2015
- Phipps, Maximillian J. S.; Fox, Thomas; Tautermann, Christofer S.
- Chemical Society Reviews, Vol. 44, Issue 10
Substituent Effect in the First Excited Singlet State of Monosubstituted Benzenes
journal, April 2018
- Dobrowolski, Jan Cz.; Lipiński, Piotr F. J.; Karpińska, Grażyna
- The Journal of Physical Chemistry A, Vol. 122, Issue 19
An Efficient Computational Approach for the Evaluation of Substituent Constants
journal, August 2006
- Galabov, Boris; Ilieva, Sonia; Schaefer, Henry F.
- The Journal of Organic Chemistry, Vol. 71, Issue 17
Unravelling the Origin of Intermolecular Interactions Using Absolutely Localized Molecular Orbitals
journal, September 2007
- Khaliullin, Rustam Z.; Cobar, Erika A.; Lochan, Rohini C.
- The Journal of Physical Chemistry A, Vol. 111, Issue 36
Energy decomposition analysis for exciplexes using absolutely localized molecular orbitals
journal, February 2018
- Ge, Qinghui; Mao, Yuezhi; Head-Gordon, Martin
- The Journal of Chemical Physics, Vol. 148, Issue 6
β-Functionalized Push–Pull opp -Dibenzoporphyrins
journal, November 2015
- Jinadasa, R. G. Waruna; Fang, Yuanyuan; Kumar, Siddhartha
- The Journal of Organic Chemistry, Vol. 80, Issue 24
Substituent effects on the physical properties and pKa of phenol
journal, January 2001
- Gross, Kevin C.; Seybold, Paul G.
- International Journal of Quantum Chemistry, Vol. 85, Issue 4-5
An efficient self-consistent field method for large systems of weakly interacting components
journal, May 2006
- Khaliullin, Rustam Z.; Head-Gordon, Martin; Bell, Alexis T.
- The Journal of Chemical Physics, Vol. 124, Issue 20
Energy decomposition analysis of covalent bonds and intermolecular interactions
journal, July 2009
- Su, Peifeng; Li, Hui
- The Journal of Chemical Physics, Vol. 131, Issue 1
Substituent Effect on the Meso-Substituted Porphyrins: Theoretical Screening of Sensitizer Candidates for Dye-Sensitized Solar Cells
journal, September 2009
- Ma, Ruimin; Guo, Ping; Cui, Hongji
- The Journal of Physical Chemistry A, Vol. 113, Issue 37
The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties
journal, May 1993
- Stanton, John F.; Bartlett, Rodney J.
- The Journal of Chemical Physics, Vol. 98, Issue 9
A new mixing of Hartree–Fock and local density‐functional theories
journal, January 1993
- Becke, Axel D.
- The Journal of Chemical Physics, Vol. 98, Issue 2
Theoretical Calculation of Ionization Potentials for Disubstituted Benzenes: Additivity vs Non-Additivity of Substituent Effects
journal, April 2000
- DiLabio, Gino A.; Pratt, Derek A.; Wright, James S.
- The Journal of Organic Chemistry, Vol. 65, Issue 7
General perturbation theory for the extended: Hückel method
journal, January 1968
- Imamura, Akira
- Molecular Physics, Vol. 15, Issue 3
Variational Energy Decomposition Analysis of Chemical Bonding. 1. Spin-Pure Analysis of Single Bonds
journal, September 2016
- Levine, Daniel S.; Horn, Paul R.; Mao, Yuezhi
- Journal of Chemical Theory and Computation, Vol. 12, Issue 10
Fluorescent Analogs of Biomolecular Building Blocks: Design, Properties, and Applications
journal, May 2010
- Sinkeldam, Renatus W.; Greco, Nicholas J.; Tor, Yitzhak
- Chemical Reviews, Vol. 110, Issue 5
Role of Dispersion and Electrostatic Forces on Solute−Solvent Interactions in a Nematic Liquid Crystal Phase
journal, November 1998
- Williams, Vance E.; Lemieux, Robert P.
- Journal of the American Chemical Society, Vol. 120, Issue 44
Probing non-covalent interactions with a second generation energy decomposition analysis using absolutely localized molecular orbitals
journal, January 2016
- Horn, Paul R.; Mao, Yuezhi; Head-Gordon, Martin
- Physical Chemistry Chemical Physics, Vol. 18, Issue 33
Energy decomposition analysis of intermolecular interactions using a block-localized wave function approach
journal, April 2000
- Mo, Yirong; Gao, Jiali; Peyerimhoff, Sigrid D.
- The Journal of Chemical Physics, Vol. 112, Issue 13
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
journal, September 2014
- Shao, Yihan; Gan, Zhengting; Epifanovsky, Evgeny
- Molecular Physics, Vol. 113, Issue 2
Intermolecular orbital theory of the interaction between conjugated systems. I. General theory
journal, January 1968
- Salem, Lionel.
- Journal of the American Chemical Society, Vol. 90, Issue 3
Toward a systematic molecular orbital theory for excited states
journal, January 1992
- Foresman, James B.; Head-Gordon, Martin; Pople, John A.
- The Journal of Physical Chemistry, Vol. 96, Issue 1
Natural energy decomposition analysis: An energy partitioning procedure for molecular interactions with application to weak hydrogen bonding, strong ionic, and moderate donor–acceptor interactions
journal, February 1994
- Glendening, Eric D.; Streitwieser, Andrew
- The Journal of Chemical Physics, Vol. 100, Issue 4
Toward a Physical Interpretation of Substituent Effects: The Case of Fluorine and Trifluoromethyl Groups
journal, July 2014
- Siodła, Tomasz; Ozimiński, Wojciech P.; Hoffmann, Marcin
- The Journal of Organic Chemistry, Vol. 79, Issue 16
Density-based energy decomposition analysis for intermolecular interactions with variationally determined intermediate state energies
journal, October 2009
- Wu, Qin; Ayers, Paul W.; Zhang, Yingkai
- The Journal of Chemical Physics, Vol. 131, Issue 16
Communication: Practical intramolecular symmetry adapted perturbation theory via Hartree-Fock embedding
journal, August 2015
- Parrish, Robert M.; Gonthier, Jérôme F.; Corminbœuf, Clémence
- The Journal of Chemical Physics, Vol. 143, Issue 5
A tensor formulation of many-electron theory in a nonorthogonal single-particle basis
journal, January 1998
- Head-Gordon, Martin; Maslen, Paul E.; White, Christopher A.
- The Journal of Chemical Physics, Vol. 108, Issue 2
Electronic Perturbations of the Aromatic Nucleus: Hammett Constants and Electrostatic Potential Topography †
journal, April 1997
- Gadre, Shridhar R.; Suresh, C. H.
- The Journal of Organic Chemistry, Vol. 62, Issue 8
Spectroscopic studies of the color modulation mechanism of firefly (beetle) bioluminescence with amino-analogs of luciferin and oxyluciferin
journal, January 2012
- Hirano, Takashi; Nagai, Hiroyuki; Matsuhashi, Takuto
- Photochemical & Photobiological Sciences, Vol. 11, Issue 8
Resonance and field/inductive substituent effects on the gas-phase acidities ofpara-substituted phenols: a direct approach employing density functional theory
journal, January 2005
- Barbour, Josiah B.; Karty, Joel M.
- Journal of Physical Organic Chemistry, Vol. 18, Issue 3
Exploration of zeroth-order wavefunctions and energies as a first step toward intramolecular symmetry-adapted perturbation theory
journal, April 2014
- Gonthier, Jérôme F.; Corminboeuf, Clémence
- The Journal of Chemical Physics, Vol. 140, Issue 15
Can QTAIM Topological Parameters Be a Measure of Hydrogen Bonding Strength?
journal, May 2012
- Mo, Yirong
- The Journal of Physical Chemistry A, Vol. 116, Issue 21
Detailed orbital theory of substituent effects. Charge transfer, polarization, and the methyl group
journal, March 1974
- Libit, Lawrence; Hoffmann, Roald
- Journal of the American Chemical Society, Vol. 96, Issue 5
Single-Reference ab Initio Methods for the Calculation of Excited States of Large Molecules
journal, November 2005
- Dreuw, Andreas; Head-Gordon, Martin
- Chemical Reviews, Vol. 105, Issue 11
σ - and π -electron contributions to the substituent effect: natural population analysis
journal, August 2009
- Ozimiński, Wojciech P.; Dobrowolski, Jan C.
- Journal of Physical Organic Chemistry, Vol. 22, Issue 8
Progress in Time-Dependent Density-Functional Theory
journal, May 2012
- Casida, M. E.; Huix-Rotllant, M.
- Annual Review of Physical Chemistry, Vol. 63, Issue 1
A Combined Charge and Energy Decomposition Scheme for Bond Analysis
journal, March 2009
- Mitoraj, Mariusz P.; Michalak, Artur; Ziegler, Tom
- Journal of Chemical Theory and Computation, Vol. 5, Issue 4
A new energy decomposition scheme for molecular interactions within the Hartree-Fock approximation
journal, March 1976
- Kitaura, Kazuo; Morokuma, Keiji
- International Journal of Quantum Chemistry, Vol. 10, Issue 2
Block-Localized Wavefunction (BLW) Method at the Density Functional Theory (DFT) Level
journal, August 2007
- Mo, Yirong; Song, Lingchun; Lin, Yuchun
- The Journal of Physical Chemistry A, Vol. 111, Issue 34
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
journal, January 1988
- Lee, Chengteh; Yang, Weitao; Parr, Robert G.
- Physical Review B, Vol. 37, Issue 2
The Effect of Structure upon the Reactions of Organic Compounds. Benzene Derivatives
journal, January 1937
- Hammett, Louis P.
- Journal of the American Chemical Society, Vol. 59, Issue 1
Conceptual Density Functional Theory
journal, May 2003
- Geerlings, P.; De Proft, F.; Langenaeker, W.
- Chemical Reviews, Vol. 103, Issue 5
Energy decomposition analysis based on a block-localized wavefunction and multistate density functional theory
journal, January 2011
- Mo, Yirong; Bao, Peng; Gao, Jiali
- Physical Chemistry Chemical Physics, Vol. 13, Issue 15
Natural localized molecular orbitals
journal, August 1985
- Reed, Alan E.; Weinhold, Frank
- The Journal of Chemical Physics, Vol. 83, Issue 4
An energy decomposition analysis study for intramolecular non-covalent interaction
journal, August 2015
- Su, Peifeng; Chen, Zuochang; Wu, Wei
- Chemical Physics Letters, Vol. 635
An energy decomposition analysis for intramolecular non-covalent interaction in solvated environment
journal, July 2016
- Su, Peifeng; Chen, Hongjiang; Wu, Wei
- Science China Chemistry, Vol. 59, Issue 8
Natural hybrid orbitals
journal, September 1980
- Foster, J. P.; Weinhold, F.
- Journal of the American Chemical Society, Vol. 102, Issue 24
Molecular orbitals from group orbitals. 3. Quantitative perturbational molecular orbital analysis of ab initio SCF-MO wave functions
journal, March 1977
- Whangbo, Myung-Hwan; Schlegel, H. Bernhard; Wolfe, Saul
- Journal of the American Chemical Society, Vol. 99, Issue 5
Density-Functional Theory for Time-Dependent Systems
journal, March 1984
- Runge, Erich; Gross, E. K. U.
- Physical Review Letters, Vol. 52, Issue 12
Correlation between Hammett Substituent Constants and Directly Calculated π-Conjugation Strength
journal, March 2006
- Fernández, Israel; Frenking, Gernot
- The Journal of Organic Chemistry, Vol. 71, Issue 6
A fast intrinsic localization procedure applicable for a b i n i t i o and semiempirical linear combination of atomic orbital wave functions
journal, May 1989
- Pipek, János; Mezey, Paul G.
- The Journal of Chemical Physics, Vol. 90, Issue 9
Bright Ideas for Chemical Biology
journal, March 2008
- Lavis, Luke D.; Raines, Ronald T.
- ACS Chemical Biology, Vol. 3, Issue 3
Excited-state substituent constants σ CCex from substituted benzenes
journal, September 2008
- Cao, Chenzhong; Chen, Guanfan; Yin, Zhiqing
- Journal of Physical Organic Chemistry, Vol. 21, Issue 9
Direct Estimate of the Conjugative and Hyperconjugative Stabilization in Diynes, Dienes, and Related Compounds
journal, June 2005
- Cappel, Daniel; Tüllmann, Sandor; Krapp, Andreas
- Angewandte Chemie International Edition, Vol. 44, Issue 23
Pair interaction energy decomposition analysis
journal, January 2006
- Fedorov, Dmitri G.; Kitaura, Kazuo
- Journal of Computational Chemistry, Vol. 28, Issue 1
Substituent effects in 1-nitro-4-substituted bicyclo[2.2.2]octane derivatives: inductive or field effects?
journal, July 2014
- Krygowski, Tadeusz M.; Oziminski, Wojciech P.
- Journal of Molecular Modeling, Vol. 20, Issue 8
Design of efficient molecular organic light-emitting diodes by a high-throughput virtual screening and experimental approach
journal, August 2016
- Gómez-Bombarelli, Rafael; Aguilera-Iparraguirre, Jorge; Hirzel, Timothy D.
- Nature Materials, Vol. 15, Issue 10
Towards physical interpretation of Hammett constants: charge transferred between active regions of substituents and a functional group
journal, November 2010
- Krygowski, T. M.; Sadlej-Sosnowska, N.
- Structural Chemistry, Vol. 22, Issue 1
Beyond the random-phase approximation: A new approximation scheme for the polarization propagator
journal, November 1982
- Schirmer, Jochen
- Physical Review A, Vol. 26, Issue 5
Meso-Substituted Porphyrins for Dye-Sensitized Solar Cells
journal, November 2014
- Urbani, Maxence; Grätzel, Michael; Nazeeruddin, Mohammad Khaja
- Chemical Reviews, Vol. 114, Issue 24
Spectroscopic Properties of Amine-substituted Analogues of Firefly Luciferin and Oxyluciferin
journal, December 2016
- Kakiuchi, Michio; Ito, Soichiro; Yamaji, Minoru
- Photochemistry and Photobiology, Vol. 93, Issue 2
Comparison of Quantum Chemical Parameters and Hammett Constants in Correlating p K a Values of Substituted Anilines
journal, October 2001
- Gross, Kevin C.; Seybold, Paul G.; Peralta-Inga, Zenaida
- The Journal of Organic Chemistry, Vol. 66, Issue 21
Origin of Methyl Internal Rotation Barriers
journal, December 1999
- Goodman, Lionel; Pophristic, Vojislava; Weinhold, Frank
- Accounts of Chemical Research, Vol. 32, Issue 12
Natural Energy Decomposition Analysis: Extension to Density Functional Methods and Analysis of Cooperative Effects in Water Clusters
journal, December 2005
- Glendening, Eric D.
- The Journal of Physical Chemistry A, Vol. 109, Issue 51
Synthesis and spectral properties of a hydrophobic fluorescent probe: 6-propionyl-2-(dimethylamino)naphthalene
journal, July 1979
- Weber, Gregorio; Farris, Fay J.
- Biochemistry, Vol. 18, Issue 14
Unrestricted absolutely localized molecular orbitals for energy decomposition analysis: Theory and applications to intermolecular interactions involving radicals
journal, April 2013
- Horn, Paul R.; Sundstrom, Eric Jon; Baker, Thomas A.
- The Journal of Chemical Physics, Vol. 138, Issue 13
Relation between the Substituent Effect and Aromaticity
journal, October 2004
- Krygowski, Tadeusz M.; Ejsmont, Krzysztof; Stepień, Beata T.
- The Journal of Organic Chemistry, Vol. 69, Issue 20
Computational evidence that hyperconjugative interactions are not responsible for the anomeric effect
journal, July 2010
- Mo, Yirong
- Nature Chemistry, Vol. 2, Issue 8
Works referencing / citing this record:
Sulfur-substituted perylene diimides: efficient tuning of LUMO levels and visible-light absorption via sulfur redox
journal, January 2019
- Zhou, Yongxin; Xue, Bo; Wu, Chenyu
- Chemical Communications, Vol. 55, Issue 90
Accurate and efficient DFT-based diabatization for hole and electron transfer using absolutely localized molecular orbitals
journal, October 2019
- Mao, Yuezhi; Montoya-Castillo, Andrés; Markland, Thomas E.
- The Journal of Chemical Physics, Vol. 151, Issue 16