skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Solvent effects in time-dependent self-consistent field methods. II. Variational formulations and analytical gradients

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4927167· OSTI ID:1236703

This study describes variational energy expressions and analytical excited state energy gradients for time-dependent self-consistent field methods with polarizable solvent effects. Linear response, vertical excitation, and state-specific solventmodels are examined. Enforcing a variational ground stateenergy expression in the state-specific model is found to reduce it to the vertical excitation model. Variational excited state energy expressions are then provided for the linear response and vertical excitation models and analytical gradients are formulated. Using semiempiricalmodel chemistry, the variational expressions are verified by numerical and analytical differentiation with respect to a static external electric field. Lastly, analytical gradients are further tested by performing microcanonical excited state molecular dynamics with p-nitroaniline.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1236703
Alternate ID(s):
OSTI ID: 1229576
Report Number(s):
LA-UR-15-21181; JCPSA6; TRN: US1600390
Journal Information:
Journal of Chemical Physics, Vol. 143, Issue 5; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 32 works
Citation information provided by
Web of Science

References (78)

Conformational Dynamics of Photoexcited Conjugated Molecules journal August 2002
Photoexcited breathers in conjugated polyenes: An excited-state molecular dynamics study journal February 2003
Excited state molecular dynamics simulations of nonlinear push–pull chromophores journal January 2003
Nonadiabatic Excited-State Molecular Dynamics: Modeling Photophysics in Organic Conjugated Materials journal February 2014
Representation independent algorithms for molecular response calculations in time-dependent self-consistent field theories journal February 2009
Density Matrix Analysis and Simulation of Electronic Excitations in Conjugated and Aggregated Molecules journal September 2002
Single-Reference ab Initio Methods for the Calculation of Excited States of Large Molecules journal November 2005
Gradient techniques for open‐shell restricted Hartree–Fock and multiconfiguration self‐consistent‐field methods journal August 1979
Derivative studies in hartree-fock and møller-plesset theories journal March 1979
Analytic second derivatives in restricted Hartree–Fock theory. A method for high‐spin open‐shell molecular wave functions journal December 1982
Analytic second derivative techniques for self-consistent-field wave functions. A new approach to the solution of the coupled perturbed hartree-fock equations journal August 1983
Analytical gradient evaluation in coupled-cluster theory journal June 1985
Many‐body methods for excited state potential energy surfaces. I. General theory of energy gradients for the equation‐of‐motion coupled‐cluster method journal December 1993
The determination of molecular structures by density functional theory. The evaluation of analytical energy gradients by numerical integration journal January 1988
Analytical Hartree-Fock gradients for periodic systems journal January 2001
Approximate density functional theory as a practical tool in molecular energetics and dynamics journal July 1991
Excited state geometry optimizations by analytical energy gradient of long-range corrected time-dependent density functional theory journal April 2006
Linear-scaling density-functional theory with Gaussian orbitals and periodic boundary conditions: Efficient evaluation of energy and forces via the fast multipole method journal June 2000
Rayleigh-Ritz variational principle for ensembles of fractionally occupied states journal April 1988
The proper treatment of off-diagonal lagrange multipliers and coupling operators in self-consistent field equations journal November 1969
State energy functionals and variational equations in density functional theory journal April 2000
Time-Dependent Variational Principle in Density Functional Theory book January 1999
Variational spaces of electronic calculations in quantum chemistry journal December 1994
Vibrational states of nuclei in the random phase approximation journal January 1961
Adiabatic time-dependent density functional methods for excited state properties journal October 2002
Theory of the time development of the stokes shift in polar media journal January 1984
Solvated Charge Transfer States of Functionalized Anthracene and Tetracyanoethylene Dimers: A Computational Study Based on a Range Separated Hybrid Functional and Charge Constrained Self-Consistent Field with Switching Gaussian Polarized Continuum Models journal December 2012
Ab Initio Study of the Emissive Charge-Transfer States of Solvated Chromophore-Functionalized Silsesquioxanes journal April 2012
Geometries and properties of excited states in the gas phase and in solution: Theory and application of a time-dependent density functional theory polarizable continuum model journal March 2006
Linear response theory for the polarizable continuum model journal May 1999
Solvent effect on vertical electronic transitions by the polarizable continuum model journal February 2000
Practical computation of electronic excitation in solution: vertical excitation model journal January 2011
Absorption and Emission Spectra of Solvated Molecules with the EOM–CCSD–PCM Method journal September 2012
Exploring Potential Energy Surfaces of Electronic Excited States in Solution with the EOM-CCSD-PCM Method journal July 2012
Symmetry-adapted cluster and symmetry-adapted cluster-configuration interaction method in the polarizable continuum model: Theory of the solvent effect on the electronic excitation of molecules in solution journal July 2010
Coupled-cluster theories for the polarizable continuum model. II. Analytical gradients for excited states of molecular solutes by the equation of motion coupled-cluster method journal August 2010
Solvation of the Excited States of Chromophores in Polarizable Environment: Orbital Relaxation versus Polarization journal August 2010
A state-specific polarizable continuum model time dependent density functional theory method for excited state calculations in solution journal August 2006
Toward effective and reliable fluorescence energies in solution by a new state specific polarizable continuum model time dependent density functional theory approach journal August 2007
Solvent effects in time-dependent self-consistent field methods. I. Optical response calculations journal January 2015
Coupled-cluster theory for the polarizable continuum model. III. A response theory for molecules in solution journal January 2012
Fast Evaluation of Geometries and Properties of Excited Molecules in Solution:  A Tamm-Dancoff Model with Application to 4-Dimethylaminobenzonitrile journal June 2000
Dynamics of Solvation and Charge Transfer Reactions in Dipolar Liquids journal October 1989
A comparison between state-specific and linear-response formalisms for the calculation of vertical electronic transition energy in solution with the CCSD-PCM method journal July 2013
Electronic excitation energies of molecules in solution within continuum solvation models: Investigating the discrepancy between state-specific and linear-response methods journal October 2005
Solvation structure and the time‐resolved Stokes shift in non‐Debye solvents journal July 1990
Simulations of fluorescence solvatochromism in substituted PPV oligomers from excited state molecular dynamics with implicit solvent journal July 2015
Excited-State Vibrations of Solvated Molecules: Going Beyond the Linear-Response Polarizable Continuum Model journal February 2015
Development and use of quantum mechanical molecular models. 76. AM1: a new general purpose quantum mechanical molecular model journal June 1985
New developments in the polarizable continuum model for quantum mechanical and classical calculations on molecules in solution journal July 2002
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Density‐functional thermochemistry. IV. A new dynamical correlation functional and implications for exact‐exchange mixing journal January 1996
Polarizable continuum model: Polarizable continuum model journal January 2012
Electronic Energy Transfer in Condensed Phase Studied by a Polarizable QM/MM Model journal June 2009
Resonant nonlinear polarizabilities in the time-dependent density functional theory journal November 2003
Collective coordinates for nuclear spectral densities in energy transfer and femtosecond spectroscopy of molecular aggregates journal September 1996
Size‐consistent quasiparticle representation of nonlinear optical susceptibilities in many‐electron systems journal January 1996
Time-Dependent Density Functional Response Theory for Molecules book November 1995
Formation and relaxation of excited states in solution: A new time dependent polarizable continuum model based on time dependent density functional theory journal March 2006
Excited-State Geometries of Solvated Molecules: Going Beyond the Linear-Response Polarizable Continuum Model journal April 2014
On the evaluation of analytic energy derivatives for correlated wave functions journal December 1984
One‐electron density matrices and energy gradients in the random phase approximation journal October 1994
Energies, structures, and electronic properties of molecules in solution with the C-PCM solvation model journal April 2003
Gradients of the polarization energy in the effective fragment potential method journal November 2006
Chapter 10 The Effective Fragment Potential: A General Method for Predicting Intermolecular Interactions book January 2007
Microscopic calculations of solvent effects on absorption spectra of conjugated molecules journal June 1991
Microscopic models for quantum mechanical calculations of chemical processes in solutions: LD/AMPAC and SCAAS/AMPAC calculations of solvation energies journal March 1992
Electronic Coherence and Nonlinear Susceptibilities of Conjugated Polyenes journal October 1994
Localized Electronic Excitations in Phenylacetylene Dendrimers journal April 1998
Geometries and Energies of Nitrobenzene Studied by CAS-SCF Calculations journal July 1997
Relaxation of Optically Excited p -Nitroaniline:  Semiempirical Quantum-Chemical Calculations Compared to Femtosecond Experimental Results journal December 2000
Ultrafast Charge-Transfer Dynamics:  Studies of p -Nitroaniline in Water and Dioxane journal February 1998
Excited States of the Bacteriochlorophyll b Dimer of Rhodopseudomonas viridis: A QM/MM Study of the Photosynthetic Reaction Center That Includes MM Polarization journal April 1995
Nonempirical Calculations on Excited States: The Formaldehyde Molecule journal June 1968
Green's function approach to the direct perturbation calculation of the excitation energies of closed shell fermion systems journal January 1974
An order analysis of the particle–hole propagator journal February 1977
Elementary Excitations in a Benzene Model journal July 1968
An efficient implementation of time-dependent density-functional theory for the calculation of excitation energies of large molecules journal November 1998

Cited By (3)