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Title: Predicting Excitation Energies of Twisted Intramolecular Charge-Transfer States with the Time-Dependent Density Functional Theory: Comparison with Experimental Measurements in the Gas Phase and Solvents Ranging from Hexanes to Acetonitrile

Journal Article · · Journal of Chemical Theory and Computation
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Electronically excited states characterized by intramolecular charge transfer play an essential role in many biological processes and optical devices. The ability to make quantitative ab initio predictions of the relative energetics involved is a challenging yet desirable goal, especially for large molecules in solution. In this work, we present a data set of 61 experimental measurements of absorption and emission processes, both in the gas phase and in solvents representing a broad range of polarities, which involve intramolecular charge transfer mediated by a nonzero, "twisted" dihedral angle between one or more donor and acceptor subunits. Among a variety of density functionals investigated within the framework of linear-response theory, the "optimally tuned" LRC-ωPBE functional, which utilizes a system-specific yet nonempirical procedure to specify the range-separation parameter, emerges as the preferred choice. For the entire set of excitation energies, involving changes in dipole moment ranging from 4 to >20 Debye, the mean signed and absolute errors are 0.02 and 0.18 eV, respectively (compared, e.g., to -0.30 and 0.30 for PBE0, 0.44 and 0.47 for LRC-ωPBEh, 0.83 and 0.83 for ωB97X-V). We analyze the performance of polarizable continuum solvation models available in Q-Chem that partition the solvent response into fast and slow time scales, and clear trends emerge when measurements corresponding to the four small 4-(dimethylamino)benzonitrile (DMABN)-like molecules and a charged species are excluded. We make the case that the large errors found only for small molecules in the gas phase and weak solvents cannot be expected to improve via the optimal tuning procedure, which enforces a condition that is exact only in the well-separated donor-acceptor limit, and present empirical evidence implicating the outsized importance for small donor-acceptor systems of relaxation effects that cannot be accounted for by the linear-response time-dependent density functional theory within the adiabatic approximation. Finally, we demonstrate the utility of the optimally tuned density functional approach by targeting the charge-transfer states of a large biomimetic model system for light-harvesting structures in Photosystem II.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1779257
Journal Information:
Journal of Chemical Theory and Computation, Vol. 16, Issue 10; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (95)

Classification off the Solvent Properties of Common Liquids journal June 1978
Time-dependent density functional theory: Past, present, and future journal August 2005
Reliable Prediction with Tuned Range-Separated Functionals of the Singlet–Triplet Gap in Organic Emitters for Thermally Activated Delayed Fluorescence journal July 2015
Substituent Effects on Twisted Internal Charge Transfer Excited States of N- Borylated Carbazoles and (Diphenylamino)boranes journal January 2012
Multiconfiguration Pair-Density Functional Theory Spectral Calculations Are Stable to Adding Diffuse Basis Functions journal October 2015
Assessment of density functional theory based ΔSCF (self-consistent field) and linear response methods for longest wavelength excited states of extended π-conjugated molecular systems journal July 2014
TICT fluorescence of N-borylated 2,5-diarylpyrroles: a gear like dual motion in the excited state journal January 2013
Density-Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy journal December 1982
Fundamental Gaps in Finite Systems from Eigenvalues of a Generalized Kohn-Sham Method journal December 2010
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
The TICT Mechanism in 9,9‘-Biaryl Compounds:  Solvatochromism of 9,9‘-Bianthryl, N -(9-Anthryl)carbazole, and N,N ‘-Bicarbazyl journal January 1996
Degenerate Ground States and a Fractional Number of Electrons in Density and Reduced Density Matrix Functional Theory journal May 2000
Quantum Mechanical Continuum Solvation Models journal August 2005
Insights into Current Limitations of Density Functional Theory journal August 2008
Relating Trends in First-Principles Electronic Structure and Open-Circuit Voltage in Organic Photovoltaics journal September 2011
Generalized Kohn-Sham schemes and the band-gap problem journal February 1996
Electroluminescence in conjugated polymers journal January 1999
A long-range-corrected density functional that performs well for both ground-state properties and time-dependent density functional theory excitation energies, including charge-transfer excited states journal February 2009
Intermolecular Nonbonded Contact Distances in Organic Crystal Structures: Comparison with Distances Expected from van der Waals Radii journal January 1996
A long-range correction scheme for generalized-gradient-approximation exchange functionals journal August 2001
Challenges for Density Functional Theory journal December 2011
Similarity transformed equation-of-motion coupled-cluster theory: Details, examples, and comparisons journal November 1997
On the calculation of multiplet energies by the hartree-fock-slater method journal January 1977
Time-dependent density functional calculations of the Q-like bands of phenylene-linked free-base and zinc porphyrin dimers journal January 2001
Assessment of the ΔSCF density functional theory approach for electronic excitations in organic dyes journal February 2011
Directional Control of π-Conjugation Enabled by Distortion of the Donor Plane in Diarylaminoanthracenes: A Photophysical Study journal May 2015
Quantum Calculation of Molecular Energies and Energy Gradients in Solution by a Conductor Solvent Model journal March 1998
A New Benchmark Set for Excitation Energy of Charge Transfer States: Systematic Investigation of Coupled Cluster Type Methods journal June 2020
Failure of Time-Dependent Density Functional Theory for Long-Range Charge-Transfer Excited States:  The Zincbacteriochlorin−Bacteriochlorin and Bacteriochlorophyll−Spheroidene Complexes journal March 2004
Long-range corrected hybrid functionals for π-conjugated systems: Dependence of the range-separation parameter on conjugation length journal November 2011
Experimental Benchmark Data and Systematic Evaluation of Two a Posteriori , Polarizable-Continuum Corrections for Vertical Excitation Energies in Solution journal December 2014
Intramolecular charge transfer state and unusual fluorescence from an upper excited singlet of a nonplanar derivative of p-cyano-N, N-dimethylaniline journal August 1982
A smooth, nonsingular, and faithful discretization scheme for polarizable continuum models: The switching/Gaussian approach journal December 2010
Tuned Range-Separated Time-Dependent Density Functional Theory Applied to Optical Rotation journal December 2011
Simultaneous benchmarking of ground- and excited-state properties with long-range-corrected density functional theory journal July 2008
The application of CAM-B3LYP to the charge-transfer band problem of the zincbacteriochlorin–bacteriochlorin complex journal March 2006
Influence of the Delocalization Error and Applicability of Optimal Functional Tuning in Density Functional Calculations of Nonlinear Optical Properties of Organic Donor-Acceptor Chromophores journal June 2013
Charge-Transfer-Like π→π* Excitations in Time-Dependent Density Functional Theory: A Conundrum and Its Solution journal July 2011
Excited State Orbital Optimization via Minimizing the Square of the Gradient: General Approach and Application to Singly and Doubly Excited States via Density Functional Theory journal February 2020
Why Do TD-DFT Excitation Energies of BODIPY/Aza-BODIPY Families Largely Deviate from Experiment? Answers from Electron Correlated and Multireference Methods journal May 2015
Short-Range to Long-Range Charge-Transfer Excitations in the Zincbacteriochlorin-Bacteriochlorin Complex: A Bethe-Salpeter Study journal October 2012
Unveiling the Photophysical Properties of Boron-dipyrromethene Dyes Using a New Accurate Excited State Coupled Cluster Method journal November 2019
A long-range-corrected time-dependent density functional theory journal May 2004
Computational Prediction for Singlet- and Triplet-Transition Energies of Charge-Transfer Compounds journal August 2013
Intramolecular Charge-Transfer Mechanism in Quinolidines:  The Role of the Amino Twist Angle journal December 2006
Intramolecular Charge Transfer with 1- tert -Butyl-6-cyano-1,2,3,4-tetrahydroquinoline (NTC6) and Other Aminobenzonitriles. A Comparison of Experimental Vapor Phase Spectra and Crystal Structures with Calculations journal May 2010
Structure Determination of the Intramolecular Charge Transfer State in Crystalline 4-(Diisopropylamino)benzonitrile from Picosecond X-ray Diffraction journal May 2004
Strong coupling of the single excitations in the Q -like bands of phenylene-linked free-base and zinc bacteriochlorin dimers: A time-dependent density functional theory study journal April 2002
A Density Functional Theory for Symmetric Radical Cations from Bonding to Dissociation journal October 2008
Practical computation of electronic excitation in solution: vertical excitation model journal January 2011
van der Waals Volumes and Radii journal March 1964
Relationship between long-range charge-transfer excitation energy error and integer discontinuity in Kohn–Sham theory journal December 2003
Does a Molecule-Specific Density Functional Give an Accurate Electron Density? The Challenging Case of the CuCl Electric Field Gradient journal February 2012
Excitation Wavelength Dependence of Dual Fluorescence of DMABN in Polar Solvents journal May 2010
Benchmarks for electronically excited states: CASPT2, CC2, CCSD, and CC3 journal April 2008
Reliable Prediction of Charge Transfer Excitations in Molecular Complexes Using Time-Dependent Density Functional Theory journal March 2009
Comment on “Significance of the highest occupied Kohn-Sham eigenvalue” journal December 1997
Time-Dependent Density Functional Response Theory for Molecules book November 1995
Charge Shift and Triplet State Formation in the 9-Mesityl-10-methylacridinium Cation journal November 2005
Excitation energies and Stokes shifts from a restricted open-shell Kohn-Sham approach journal April 2013
Exploring the Accuracy of a Low Scaling Similarity Transformed Equation of Motion Method for Vertical Excitation Energies journal December 2017
Charge Separation in Excited States of Decoupled Systems?TICT Compounds and Implications Regarding the Development of New Laser Dyes and the Primary Process of Vision and Photosynthesis journal November 1986
Charge-transfer excitations in molecular donor-acceptor complexes within the many-body Bethe-Salpeter approach journal October 2011
Molecular Compounds and their Spectra. II journal February 1952
Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy journal January 2005
Influence of Coulomb-attenuation on exchange–correlation functional quality journal January 2006
Single-Reference ab Initio Methods for the Calculation of Excited States of Large Molecules journal November 2005
Revised M11 Exchange-Correlation Functional for Electronic Excitation Energies and Ground-State Properties journal February 2019
Sorting Out the Relative Contributions of Electrostatic Polarization, Dispersion, and Hydrogen Bonding to Solvatochromic Shifts on Vertical Electronic Excitation Energies journal August 2010
Highly efficient organic light-emitting diodes from delayed fluorescence journal December 2012
On the accuracy of the general, state-specific polarizable-continuum model for the description of correlated ground- and excited states in solution journal January 2017
ωB97X-V: A 10-parameter, range-separated hybrid, generalized gradient approximation density functional with nonlocal correlation, designed by a survival-of-the-fittest strategy journal January 2014
A well-tempered density functional theory of electrons in molecules journal January 2007
A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks journal June 2018
Comparison of the Marcus and Pekar partitions in the context of non-equilibrium, polarizable-continuum solvation models journal November 2015
Twisted intramolecular charge transfer (TICT) excited states: energy and molecular structure journal January 1983
Many-electron self-interaction error in approximate density functionals journal November 2006
Prediction of Excited-State Energies and Singlet–Triplet Gaps of Charge-Transfer States Using a Restricted Open-Shell Kohn–Sham Approach journal June 2016
Effect of Donor–Acceptor Coupling on TICT Dynamics in the Excited States of Two Dimethylamine Substituted Chalcones journal October 2015
A study on the spectroscopy and photophysics of N-phenyl pyrrole and N-phenyl pyrazole journal March 1995
Prediction of charge-transfer excitations in coumarin-based dyes using a range-separated functional tuned from first principles journal December 2009
On the Nature of the Low-Lying Singlet States of 4-(Dimethyl-amino)benzonitrile journal May 2004
Nonempirically Tuned Long-Range Corrected Density Functional Theory Study on Local and Charge-Transfer Excitation Energies in a Pentacene/C 60 Model Complex journal June 2011
Evaluation of Solvent Effects in Isotropic and Anisotropic Dielectrics and in Ionic Solutions with a Unified Integral Equation Method:  Theoretical Bases, Computational Implementation, and Numerical Applications journal December 1997
Structural Changes Accompanying Intramolecular Electron Transfer:  Focus on Twisted Intramolecular Charge-Transfer States and Structures journal October 2003
Communication: Tailoring the optical gap in light-harvesting molecules journal April 2011
Description of electron transfer in the ground and excited states of organic donor–acceptor systems by single-reference and multi-reference density functional methods journal September 2014
Excitation Gaps of Finite-Sized Systems from Optimally Tuned Range-Separated Hybrid Functionals journal April 2012
Eigenvalues, integer discontinuities and NMR shielding constants in Kohn—Sham theory journal February 2002
Theoretical Study of Singlet Fission in Oligorylenes journal September 2012
Recent advances in twisted intramolecular charge transfer (TICT) fluorescence and related phenomena in materials chemistry journal January 2016
Organic Electronic Materials: Recent Advances in the DFT Description of the Ground and Excited States Using Tuned Range-Separated Hybrid Functionals journal April 2014
Twisted Intramolecular Charge Transfer State for Long-Wavelength Thermally Activated Delayed Fluorescence journal August 2013
Two-dimensional electronic-vibrational spectroscopic study of conical intersection dynamics: an experimental and electronic structure study journal January 2019
Charge-transfer excitations in low-gap systems under the influence of solvation and conformational disorder: Exploring range-separation tuning journal August 2014

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