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Title: Natural Charge-Transfer Analysis: Eliminating Spurious Charge-Transfer States in Time-Dependent Density Functional Theory via Diabatization, with Application to Projection-Based Embedding

Journal Article · · Journal of Chemical Theory and Computation

For many types of vertical excitation energies, linear-response time-dependent density functional theory (LR-TDDFT) offers a useful degree of accuracy combined with unrivaled computational efficiency, although charge-transfer excitation energies are often systematically and dramatically underestimated, especially for large systems and those that contain explicit solvent. As a result, low energy electronic spectra of solution-phase chromophores often contain tens to hundreds of spurious charge-transfer states, making LR-TDDFT needlessly expensive in bulk solution. More nefariously, intensity borrowing by the low-energy charge-transfer states can affect intensities of the valence excitations even if those excitation energies are accurate. At higher excitation energies, it is difficult to distinguish spurious CT states from genuine charge-transfer-to-solvent (CTTS) excitations. In this work, we introduce an automated diabatization scheme that enables fast and effective screening of the CTTS acceptor space in bulk solution. Our procedure introduces the concept of “natural charge-transfer orbitals”, which provide a means to isolate characteristic pairs of orbitals that are most likely to participate in a CTTS excitation. The projection of these orbitals onto solvent-centered virtual orbitals provides a criterion for defining the most important solvent molecules in a given excitation. We apply this method to analyze an ab initio molecular dynamics (MD) trajectory of I-(aq) and report the lowest-energy CTTS band in the absorption spectrum. Our results are in excellent agreement with experimental measurements for bulk I-(aq), and only one-third of the water molecules in the I-(H2O)96 simulation cell need to be described with LR-TDDFT in order to obtain excitation energies that are converged to < 0.1 eV. The tools introduced herein will improve the accuracy, efficiency, and usability of LR-TDDFT in solution-phase environments

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-76RL01830
OSTI ID:
1819935
Report Number(s):
PNNL-SA-161769
Journal Information:
Journal of Chemical Theory and Computation, Vol. 17, Issue 7
Country of Publication:
United States
Language:
English

References (145)

New Photovoltaic Devices Based on the Sensitization of p-type Semiconductors: Challenges and Opportunities journal August 2010
Renaissance of Fused Porphyrins: Substituted Methylene-Bridged Thiophene-Fused Strategy for High-Performance Dye-Sensitized Solar Cells journal June 2019
Effect of Charge-Transfer State Energy on Charge Generation Efficiency via Singlet Fission in Pentacene–Fullerene Solar Cells journal April 2019
Charge-Transfer Excitons at Organic Semiconductor Surfaces and Interfaces journal November 2009
Charge-Transfer State as a Possible Signature of a Zeaxanthin−Chlorophyll Dimer in the Non-photochemical Quenching Process in Green Plants journal July 2003
Architecture of a Charge-Transfer State Regulating Light Harvesting in a Plant Antenna Protein journal May 2008
Charge transfer from the carotenoid can quench chlorophyll excitation in antenna complexes of plants journal January 2020
Accumulative Charge Separation for Solar Fuels Production: Coupling Light-Induced Single Electron Transfer to Multielectron Catalysis journal February 2015
Reaction pathways in the photodetachment of an electron from aqueous chloride: A quantum molecular dynamics study journal June 1996
Electronic and Solvent Relaxation Dynamics of a Photoexcited Aqueous Halide journal January 1996
Solvent effects on the ultrafast dynamics and spectroscopy of the charge-transfer-to-solvent reaction of sodide journal April 2003
Photoionization dynamics of an aqueous iodide solution: the temperature dependence journal February 2005
Absence of a Signature of Aqueous I(2P1/2) after 200-nm Photodetachment of I-(aq) journal September 2006
Mapping CTTS dynamics of Na in tetrahydrofurane with ultrafast multichannel pump–probe spectroscopy journal January 2006
Time-resolved photoelectron spectroscopy of bulk liquids at ultra-low kinetic energy journal July 2010
Time-resolved photoelectron spectroscopy of solvated electrons in aqueous NaI solution journal January 2010
Probing the Transition from Hydrophilic to Hydrophobic Solvation with Atomic Scale Resolution journal August 2011
Real-time observation of the charge transfer to solvent dynamics journal July 2013
Charge Transfer to Solvent Dynamics at the Ambient Water/Air Interface journal October 2016
Solvation Structure of I and Na + on the Surface of NaI Aqueous Solution Studied by Photodetachment Spectroscopy in Combination with Mass Spectrometry journal March 2011
Broadband Deep UV Spectra of Interfacial Aqueous Iodide journal September 2016
Charge-Transfer-to-Solvent Spectrum of Thiocyanate at the Air/Water Interface Measured by Broadband Deep Ultraviolet Electronic Sum Frequency Generation Spectroscopy journal August 2018
New Insights into the Charge-Transfer-to-Solvent Spectrum of Aqueous Iodide: Surface versus Bulk journal February 2020
The Ultrafast Dynamics of Photodetachment journal May 2008
The Hydrated Electron journal May 2017
Polarization-Bound Quasi-Continuum States Are Responsible for the “Blue Tail” in the Optical Absorption Spectrum of the Aqueous Electron journal July 2010
A one-electron model for the aqueous electron that includes many-body electron-water polarization: Bulk equilibrium structure, vertical electron binding energy, and optical absorption spectrum journal October 2010
Nature's most squishy ion: The important role of solvent polarization in the description of the hydrated electron journal January 2011
Structure of the aqueous electron journal January 2019
Precursors of Solvated Electrons in Radiobiological Physics and Chemistry journal June 2012
Resonant Formation of DNA Strand Breaks by Low-Energy (3 to 20 eV) Electrons journal March 2000
Products of the reactions of the dry and aqueous electron with hydrated DNA: hydrogen and 5,6-dihydropyrimidines journal February 2005
Radiation Damage to DNA: The Indirect Effect of Low-Energy Electrons journal February 2013
Biomolecular Damage Induced by Ionizing Radiation: The Direct and Indirect Effects of Low-Energy Electrons on DNA journal April 2015
Communication: Configuration interaction singles has a large systematic bias against charge-transfer states journal August 2011
On the density matrix based approach to time-dependent density functional response theory journal April 2001
Single-Reference ab Initio Methods for the Calculation of Excited States of Large Molecules journal November 2005
TD-DFT benchmarks: A review journal April 2013
Does density functional theory contribute to the understanding of excited states of unsaturated organic compounds? journal October 1999
Charge-transfer correction for improved time-dependent local density approximation excited-state potential energy curves: Analysis within the two-level model with illustration for H2 and LiH journal November 2000
Long-range charge-transfer excited states in time-dependent density functional theory require non-local exchange journal August 2003
Failure of Time-Dependent Density Functional Theory for Long-Range Charge-Transfer Excited States:  The Zincbacteriochlorin−Bacteriochlorin and Bacteriochlorophyll−Spheroidene Complexes journal March 2004
Hartree–Fock exchange in time dependent density functional theory: application to charge transfer excitations in solvated molecular systems journal August 2004
Assessment of a simple correction for the long-range charge-transfer problem in time-dependent density-functional theory journal June 2006
Simple Methods To Reduce Charge-Transfer Contamination in Time-Dependent Density-Functional Calculations of Clusters and Liquids journal August 2007
The Charge Transfer Problem in Density Functional Theory Calculations of Aqueously Solvated Molecules journal October 2013
Dependence of Spurious Charge-Transfer Excited States on Orbital Exchange in TDDFT:  Large Molecules and Clusters journal March 2007
Excitation energies in density functional theory: An evaluation and a diagnostic test journal January 2008
Charge-Transfer Excited States in a π-Stacked Adenine Dimer, As Predicted Using Long-Range-Corrected Time-Dependent Density Functional Theory journal May 2008
Both Intra- and Interstrand Charge-Transfer Excited States in Aqueous B-DNA Are Present at Energies Comparable To, or Just Above, the 1 ππ* Excitonic Bright States journal March 2009
A long-range-corrected time-dependent density functional theory journal May 2004
Simultaneous benchmarking of ground- and excited-state properties with long-range-corrected density functional theory journal July 2008
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
Reliable Prediction of Charge Transfer Excitations in Molecular Complexes Using Time-Dependent Density Functional Theory journal March 2009
Tuned Range-Separated Hybrids in Density Functional Theory journal March 2010
Theoretical Study of the Local and Charge-Transfer Excitations in Model Complexes of Pentacene-C 60 Using Tuned Range-Separated Hybrid Functionals journal May 2014
Impact of Electron Delocalization on the Nature of the Charge-Transfer States in Model Pentacene/C 60 Interfaces: A Density Functional Theory Study journal November 2014
Charge-Transfer Excitations: A Challenge for Time-Dependent Density Functional Theory That Has Been Met journal May 2017
Superposition of Fragment Excitations for Excited States of Large Clusters with Application to Helium Clusters journal November 2015
An efficient and accurate approximation to time-dependent density functional theory for systems of weakly coupled monomers journal July 2015
Local Excitation Approximations to Time-Dependent Density Functional Theory for Excitation Energies in Solution journal December 2015
Beyond Time-Dependent Density Functional Theory Using Only Single Excitations: Methods for Computational Studies of Excited States in Complex Systems journal April 2016
Simulating the absorption spectra of helium clusters (N = 70, 150, 231, 300) using a charge transfer correction to superposition of fragment single excitations journal January 2017
Absolutely Localized Projection-Based Embedding for Excited States journal November 2019
Quantum Dynamics of Photoinduced Electron-Transfer Reactions in Dye−Semiconductor Systems:  First-Principles Description and Application to Coumarin 343−TiO 2 journal July 2007
A Simple, Exact Density-Functional-Theory Embedding Scheme journal July 2012
Accurate and systematically improvable density functional theory embedding for correlated wavefunctions journal May 2014
Projection-Based Wavefunction-in-DFT Embedding journal April 2019
Quantum embedding electronic structure methods journal October 2020
The ONIOM Method and Its Applications journal April 2015
Embedded Correlated Wavefunction Schemes: Theory and Applications journal May 2014
Density and Potential Functional Embedding: Theory and Practice book January 2017
Quantum-chemical embedding methods for treating local electronic excitations in complex chemical systems journal January 2012
Frozen-Density Embedding Strategy for Multilevel Simulations of Electronic Structure journal April 2015
Subsystem density-functional theory: Subsystem density-functional theory journal July 2014
Automatic Partition of Orbital Spaces Based on Singular Value Decomposition in the Context of Embedding Theories journal November 2018
Improved Accuracy and Efficiency in Quantum Embedding through Absolute Localization journal March 2017
Simple and Efficient Truncation of Virtual Spaces in Embedded Wave Functions via Concentric Localization journal September 2019
Precursor of the I aq charge‐transfer‐to‐solvent (CTTS) band in I ⋅(H 2 O) n clusters journal October 1996
Charge transfer to solvent (CTTS) energies of small X−(H2O)n=1–4 (X=F, Cl, Br, I) clusters: Ab initio study journal January 2000
Excited States of Iodide Anions in Water:  A Comparison of the Electronic Structure in Clusters and in Bulk Solution journal February 2002
Dielectric continuum methods for quantum chemistry journal March 2021
The Hydrated Electron at the Surface of Neat Liquid Water Appears To Be Indistinguishable from the Bulk Species journal August 2016
Quantum chemistry in arbitrary dielectric environments: Theory and implementation of nonequilibrium Poisson boundary conditions and application to compute vertical ionization energies at the air/water interface journal June 2018
The Poisson–Boltzmann model for implicit solvation of electrolyte solutions: Quantum chemical implementation and assessment via Sechenov coefficients journal December 2019
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
On the Theory of Oxidation‐Reduction Reactions Involving Electron Transfer. I journal May 1956
Adiabatic theory of outer sphere electron-transfer reactions in solution journal January 1961
Electron transfer reactions in chemistry. Theory and experiment journal July 1993
Accurate and efficient DFT-based diabatization for hole and electron transfer using absolutely localized molecular orbitals journal October 2019
Electronic Couplings for Charge Transfer across Molecule/Metal and Molecule/Semiconductor Interfaces: Performance of the Projector Operator-Based Diabatization Approach journal September 2017
Improved Projection-Operator Diabatization Schemes for the Calculation of Electronic Coupling Values journal November 2020
On the calculation of natural orbitals by perturbation theory journal September 1973
PNO–CI Studies of electron correlation effects. I. Configuration expansion by means of nonorthogonal orbitals, and application to the ground state and ionized states of methane journal February 1973
Ab Initio Implementation of the Frenkel–Davydov Exciton Model: A Naturally Parallelizable Approach to Computing Collective Excitations in Crystals and Aggregates journal November 2014
Low-Scaling Quantum Chemistry Approach to Excited-State Properties via an ab Initio Exciton Model: Application to Excitation Energy Transfer in a Self-Assembled Nanotube journal October 2015
Analytic derivative couplings and first-principles exciton/phonon coupling constants for an ab initio Frenkel-Davydov exciton model: Theory, implementation, and application to compute triplet exciton mobility parameters for crystalline tetracene journal June 2017
Reduced Common Molecular Orbital Basis for Nonorthogonal Configuration Interaction journal April 2020
Natural transition orbitals journal March 2003
Using singular value decomposition for a compact presentation and improved interpretation of the CIS wave functions journal April 2007
Natural orbitals in CIS and singular-value decomposition journal May 2007
Time-Dependent Density-Functional Description of the 1 L a State in Polycyclic Aromatic Hydrocarbons: Charge-Transfer Character in Disguise? journal April 2011
Long-range corrected hybrid functionals for π-conjugated systems: Dependence of the range-separation parameter on conjugation length journal November 2011
Using optimally tuned range separated hybrid functionals in ground-state calculations: Consequences and caveats journal May 2013
Density-Dependent Onset of the Long-Range Exchange: A Key to Donor–Acceptor Properties journal November 2013
Organic Electronic Materials: Recent Advances in the DFT Description of the Ground and Excited States Using Tuned Range-Separated Hybrid Functionals journal April 2014
Optical Spectroscopy of the Bulk and Interfacial Hydrated Electron from Ab Initio Calculations journal March 2014
Optimum Exchange for Calculation of Excitation Energies and Hyperpolarizabilities of Organic Electro-optic Chromophores journal August 2014
Charge-transfer excitations in low-gap systems under the influence of solvation and conformational disorder: Exploring range-separation tuning journal August 2014
Size-Dependence of Nonempirically Tuned DFT Starting Points for G 0 W 0 Applied to π-Conjugated Molecular Chains journal September 2017
A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP) journal July 2004
Charge Separation and Charge Transfer in the Low-Lying Excited States of Pentacene journal October 2020
Generalized gradient approximation model exchange holes for range-separated hybrids journal May 2008
Hybrid functionals based on a screened Coulomb potential journal May 2003
Influence of the exchange screening parameter on the performance of screened hybrid functionals journal December 2006
Dielectric Screening Meets Optimally Tuned Density Functionals journal April 2018
Gap renormalization of molecular crystals from density-functional theory journal August 2013
Quantitative Prediction of Optical Absorption in Molecular Solids from an Optimally Tuned Screened Range-Separated Hybrid Functional journal May 2018
Fundamental Gaps of Condensed-Phase Organic Semiconductors from Single-Molecule Calculations using Polarization-Consistent Optimally Tuned Screened Range-Separated Hybrid Functionals journal November 2018
Atomic Orbital Implementation of Extended Symmetry-Adapted Perturbation Theory (XSAPT) and Benchmark Calculations for Large Supramolecular Complexes journal April 2018
Accurate and Efficient ab Initio Calculations for Supramolecular Complexes: Symmetry-Adapted Perturbation Theory with Many-Body Dispersion journal May 2019
Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory journal July 2019
Absolute Energy Levels of Liquid Water journal May 2018
Electronic Levels of Excess Electrons in Liquid Water journal April 2017
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
CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations journal May 2020
Nonlocal van der Waals density functional made simple and efficient journal January 2013
Nonlocal van der Waals density functional: The simpler the better journal December 2010
Structural, Dynamical, and Electronic Properties of Liquid Water: A Hybrid Functional Study journal July 2016
Picture of the wet electron: a localized transient state in liquid water journal January 2019
Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases journal September 2007
Canonical sampling through velocity rescaling journal January 2007
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
Comparison of the Marcus and Pekar partitions in the context of non-equilibrium, polarizable-continuum solvation models journal November 2015
Experimental Benchmark Data and Systematic Evaluation of Two a Posteriori , Polarizable-Continuum Corrections for Vertical Excitation Energies in Solution journal December 2014
The IEF version of the PCM solvation method: an overview of a new method addressed to study molecular solutes at the QM ab initio level journal May 1999
A smooth, nonsingular, and faithful discretization scheme for polarizable continuum models: The switching/Gaussian approach journal December 2010
Symmetric versus asymmetric discretization of the integral equations in polarizable continuum solvation models journal June 2011
Generalized Gradient Approximation Made Simple journal October 1996
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Property-optimized Gaussian basis sets for molecular response calculations journal October 2010
Quadrature schemes for integrals of density functional theory journal March 1993
Perspectives on Basis Sets Beautiful: Seasonal Plantings of Diffuse Basis Functions journal August 2011
Development of exchange-correlation functionals with minimal many-electron self-interaction error journal May 2007
Far ultraviolet solution spectroscopy of the iodide ion
  • Fox, Malcolm F.; Hayon, Elie
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 73, Issue 0 https://doi.org/10.1039/f19777301003
journal January 1977