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Title: Effective Inclusion of Mechanical and Electrical Anharmonicity in Excited Electronic States: VPT2-TDDFT Route

Journal Article · · Journal of Chemical Theory and Computation

We present a reliable and cost-effective procedure for the inclusion of anharmonic effects in excited-state energies and spectroscopic intensities by means of second-order vibrational perturbation theory. This development is made possible thanks to newly available excited-state analytic Hessians and properties within the time-dependent density functional theory framework. As illustrated in this work, by taking advantage of such algorithmic developments, it is possible to perform calculations of excited-state infrared spectra of medium-large isolated molecular systems, with anharmonicity effects included in both the energy and property surfaces. We also explore the use of this procedure for the inclusion of anharmonic effects in the simulation of vibronic bandshapes of electronic spectra, and compare the results with previous, more approximate models.

Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
European Research Council (ERC); Ministry of Education, Universities and Research (MIUR) (Italy); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
Grant/Contract Number:
SC0006863; 320951; 20129ZFHFE; XBZ5YA; F59J3R; CHE-1565520
OSTI ID:
1463086
Alternate ID(s):
OSTI ID: 1594479
Journal Information:
Journal of Chemical Theory and Computation, Vol. 13, Issue 6; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

References (77)

Computational Strategies for Spectroscopy book October 2011
Vibrational structure theory: new vibrational wave function methods for calculation of anharmonic vibrational energies and vibrational contributions to molecular properties journal January 2007
Anharmonic molecular force fields: Anharmonic molecular force fields journal July 2011
Nuclear Corrections to Electronic Expectation Values: Zero‐Point Vibrational Effects in the Water Molecule journal September 1968
Effects of anharmonic vibrations on molecular properties journal September 1987
An efficient approach for calculating vibrational wave functions and zero-point vibrational corrections to molecular properties of polyatomic molecules journal February 2000
Toward an Accurate Modeling of Optical Rotation for Solvated Systems: Anharmonic Vibrational Contributions Coupled to the Polarizable Continuum Model journal January 2012
Tuning of NMR and EPR parameters by vibrational averaging and environmental effects: an integrated computational approach journal May 2013
Stereoelectronic, Vibrational, and Environmental Contributions to Polarizabilities of Large Molecular Systems: A Feasible Anharmonic Protocol journal May 2014
Development of a Virtual Spectrometer for Chiroptical Spectroscopies: The Case of Nicotine: DEVELOPMENT OF A VIRTUAL SPECTROMETER journal July 2013
The virtual multifrequency spectrometer: a new paradigm for spectroscopy: A new paradigm for spectroscopy journal January 2016
The Vibration-Rotation Energies of Molecules journal April 1951
A systematic study of molecular vibrational anharmonicity and vibration—rotation interaction by self-consistent-field higher-derivative methods. Asymmetric top molecules journal July 1988
Anharmonic force fields from analytic second derivatives: Method and application to methyl bromide journal May 1989
A systematic study of molecular vibrational anharmonicity and vibration-rotation interaction by self-consistent-field higher-derivative methods. Linear polyatomic molecules journal September 1990
Anharmonic corrections to vibrational transition intensities journal July 1990
Anharmonic force fields from density functional theory journal July 1997
Numerical-Analytic Implementation of the Higher-Order Canonical Van Vleck Perturbation Theory for the Interpretation of Medium-Sized Molecule Vibrational Spectra journal March 2012
General Perturbative Approach for Spectroscopy, Thermodynamics, and Kinetics: Methodological Background and Benchmark Studies journal February 2012
Anharmonic Effects on Vibrational Spectra Intensities: Infrared, Raman, Vibrational Circular Dichroism, and Raman Optical Activity journal November 2015
Analytical Hessian of electronic excited states in time-dependent density functional theory with Tamm-Dancoff approximation journal July 2011
Analytical approach for the excited-state Hessian in time-dependent density functional theory: Formalism, implementation, and performance journal November 2011
Ab Initio Transient Vibrational Spectral Analysis journal October 2016
Calculation of the Vibronic Fine Structure in Electronic Spectra at Higher Temperatures. 1. Benzene and Pyrazine journal September 1998
Fully Integrated Approach to Compute Vibrationally Resolved Optical Spectra: From Small Molecules to Macrosystems journal February 2009
General Approach to Compute Vibrationally Resolved One-Photon Electronic Spectra journal March 2010
Density functional calculations of the vibronic structure of electronic absorption spectra journal February 2004
The Vibronic Structure of Electronic Absorption Spectra of Large Molecules:  A Time-Dependent Density Functional Study on the Influence of “Exact” Hartree−Fock Exchange journal November 2004
Comparison of vertical and adiabatic harmonic approaches for the calculation of the vibrational structure of electronic spectra journal January 2012
First-principle computation of absorption and fluorescence spectra in solution accounting for vibronic structure, temperature effects and solvent inhomogenous broadening journal July 2014
Generalization of analytic energy third derivatives for the RHF closed‐shell wave function: Derivative energy and integral formalisms and the prediction of vibration–rotation interaction constants journal November 1986
Higher analytic derivatives. I. A new implementation for the third derivative of theSCF energy journal August 1991
Higher analytic derivatives. II. The fourth derivative of self‐consistent‐field energy journal November 1991
A general, recursive, and open-ended response code journal February 2014
Analytic cubic and quartic force fields using density-functional theory journal January 2014
A VPT2 Route to Near-Infrared Spectroscopy: The Role of Mechanical and Electrical Anharmonicity journal December 2014
Aiming at an accurate prediction of vibrational and electronic spectra for medium-to-large molecules: An overview journal July 2016
A different approach for calculating Franck–Condon factors including anharmonicity journal January 2004
Calculation of Franck–Condon factors including anharmonicity: Simulation of the C2H4+X̃B3u2←C2H4X̃Ag1 band in the photoelectron spectrum of ethylene journal May 2005
Anharmonic vibrational properties by a fully automated second-order perturbative approach journal January 2005
A second-order perturbation theory route to vibrational averages and transition properties of molecules: General formulation and application to infrared and vibrational circular dichroism spectroscopies journal March 2012
Integrated computational approach to vibrationally resolved electronic spectra: Anisole as a test case journal June 2008
A Robust and Effective Time-Independent Route to the Calculation of Resonance Raman Spectra of Large Molecules in Condensed Phases with the Inclusion of Duschinsky, Herzberg–Teller, Anharmonic, and Environmental Effects journal November 2013
Die PAGETsche Knochenkrankheit book January 1937
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
Gaussian basis sets for use in correlated molecular calculations. III. The atoms aluminum through argon journal January 1993
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices journal January 1975
Infrared Absorption Spectroscopy of the Phenyl Radical journal January 1996
The Infrared Spectrum of the Matrix-Isolated Phenyl Radical journal March 2001
A study of the phenyl radical by vacuum ultraviolet photoelectron spectroscopy journal July 1987
Electronic absorption spectrum of phenyl radical journal March 1999
Ab initio study of excited electronic states and vibronic spectra of phenyl radical journal August 2002
First principle simulation of vibrationally resolved A2B1X˜2A1 electronic transition of phenyl radical journal March 2009
General Time Dependent Approach to Vibronic Spectroscopy Including Franck–Condon, Herzberg–Teller, and Duschinsky Effects journal August 2013
Electronic and Infrared Spectroscopy of Anthranilic Acid in a Supersonic Jet journal May 2003
Intramolecular Hydrogen Bonding in the S 1 (ππ*) Excited State of Anthranilic Acid and Salicylic Acid:  TDDFT Calculation of Excited-State Geometries and Infrared Spectra journal November 2004
Anharmonic theoretical simulations of infrared spectra of halogenated organic compounds journal August 2013
The rotational spectra, electric dipole moments and molecular structures of anisole and benzaldehyde journal January 2005
The vibrational spectrum of anisole journal January 1983
Transferable valence force fields for substituted benzenes journal March 1994
The 275-nm absorption system of anisole journal January 1985
Spectroscopy and relaxation dynamics of photoexcited anisole and anisole-d3 molecules in a supersonic jet journal February 2005
The absorption spectra of anisole-h8, anisole-d3 and anisole-d8. The assignment of fundamental vibrations in the S 0 and the S 1 states journal January 2006
Integrated experimental and computational spectroscopy study on π-stacking interaction: the anisole dimer journal January 2010
Isotopomeric Conformational Change in Anisole-Water journal January 2005
Pure Rotational Spectrum and Model Calculations of Anisole−Ammonia journal May 2009
Noncovalent Interactions in the Gas Phase: The Anisole–Phenol Complex journal September 2011
Identification and treatment of internal rotation in normal mode vibrational analysis journal February 1998
The highly anharmonic BH5 potential energy surface characterized in the ab initio limit journal March 2005
Analytical second derivatives of excited-state energy within the time-dependent density functional theory coupled with a conductor-like polarizable continuum model journal January 2013
Molecular properties of excited electronic state: Formalism, implementation, and applications of analytical second energy derivatives within the framework of the time-dependent density functional theory/molecular mechanics journal May 2014
Accurate Simulation of Resonance-Raman Spectra of Flexible Molecules: An Internal Coordinates Approach journal June 2015
General formulation of vibronic spectroscopy in internal coordinates journal February 2016
Including Anharmonicity in the Calculation of Rate Constants. 1. The HCN/HNC Isomerization Reaction journal January 2006
Ab initio effective rotational and rovibrational Hamiltonians for non-rigid systems via curvilinear second order vibrational Møller–Plesset perturbation theory journal November 2016

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