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Title: A semiempirical effective Hamiltonian based approach for analyzing excited state wave functions and computing excited state absorption spectra using real-time dynamics

Abstract

We describe a new orbital space molecular orbital (MO) decomposition approach to analyze real-time spectra. We have combined this approach with our recent implementation of the real-time INDO/S method to study the solvatochromic shift of Nile Red in acetone, ethanol, toluene and n-hexane solvents and the UV/vis spectrum of f-coronene. We also compare the convergence of conventional fast Fourier transformation with the recently proposed Padé appoximants approach of Bruner et al. (A. Bruner, D. LaMaster, K. Lopata, J. Chem. Theory ComputWe describe a new approach to extract information about an excited state wave function using a reduced orbital space molecular orbital (MO) decomposition approach for time-dependent density obtained from real-time dynamics. We also show how this information about the excited state wave function can be used to accelerate the convergence of real-time spectra and model excited state electron dynamics. We have combined this approach with our recent implementation of the real-time INDO/S method to study the solvatochromic shift of Nile Red in acetone, ethanol, toluene and n-hexane solvents and the first excited state absorption spectra of coronene, 5,10,15,20-tetra(4-pyridyl)porphyrin (TPyP), zinc phthalocyanine (ZnPc), and nickel TPyP, this being a first study applying a semiempirical Hamiltonian to the computation of first excitedmore » state absorption spectra.. 2016, 12, 3741–3750) for MO pair spectra. Finally, two different approaches to choose the reduced orbital space are compared. Our approach provides a simplified and efficient means to analyze real-time spectra irrespective of the nature of the excitations.« less

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemistry, Chemical Theory Center, and Supercomputing Inst.
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States). Environmental Molecular Sciences Lab. (EMSL)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States). Nanoporous Materials Genome Center; Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
Contributing Org.:
Minnesota Supercomputing Institute (MSI)
OSTI Identifier:
1507019
Alternate Identifier(s):
OSTI ID: 1515848
Report Number(s):
PNNL-SA-135100
Journal ID: ISSN 0021-9606; KC-030106062653
Grant/Contract Number:  
SC0008688; FG02-17ER16362; AC05-76RL1830; AC05-76RL01830
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 150; Journal Issue: 10; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Ghosh, Soumen, Asher, Jason C., Gagliardi, Laura, Cramer, Christopher J., and Govind, Niranjan. A semiempirical effective Hamiltonian based approach for analyzing excited state wave functions and computing excited state absorption spectra using real-time dynamics. United States: N. p., 2019. Web. doi:10.1063/1.5061746.
Ghosh, Soumen, Asher, Jason C., Gagliardi, Laura, Cramer, Christopher J., & Govind, Niranjan. A semiempirical effective Hamiltonian based approach for analyzing excited state wave functions and computing excited state absorption spectra using real-time dynamics. United States. https://doi.org/10.1063/1.5061746
Ghosh, Soumen, Asher, Jason C., Gagliardi, Laura, Cramer, Christopher J., and Govind, Niranjan. Thu . "A semiempirical effective Hamiltonian based approach for analyzing excited state wave functions and computing excited state absorption spectra using real-time dynamics". United States. https://doi.org/10.1063/1.5061746. https://www.osti.gov/servlets/purl/1507019.
@article{osti_1507019,
title = {A semiempirical effective Hamiltonian based approach for analyzing excited state wave functions and computing excited state absorption spectra using real-time dynamics},
author = {Ghosh, Soumen and Asher, Jason C. and Gagliardi, Laura and Cramer, Christopher J. and Govind, Niranjan},
abstractNote = {We describe a new orbital space molecular orbital (MO) decomposition approach to analyze real-time spectra. We have combined this approach with our recent implementation of the real-time INDO/S method to study the solvatochromic shift of Nile Red in acetone, ethanol, toluene and n-hexane solvents and the UV/vis spectrum of f-coronene. We also compare the convergence of conventional fast Fourier transformation with the recently proposed Padé appoximants approach of Bruner et al. (A. Bruner, D. LaMaster, K. Lopata, J. Chem. Theory ComputWe describe a new approach to extract information about an excited state wave function using a reduced orbital space molecular orbital (MO) decomposition approach for time-dependent density obtained from real-time dynamics. We also show how this information about the excited state wave function can be used to accelerate the convergence of real-time spectra and model excited state electron dynamics. We have combined this approach with our recent implementation of the real-time INDO/S method to study the solvatochromic shift of Nile Red in acetone, ethanol, toluene and n-hexane solvents and the first excited state absorption spectra of coronene, 5,10,15,20-tetra(4-pyridyl)porphyrin (TPyP), zinc phthalocyanine (ZnPc), and nickel TPyP, this being a first study applying a semiempirical Hamiltonian to the computation of first excited state absorption spectra.. 2016, 12, 3741–3750) for MO pair spectra. Finally, two different approaches to choose the reduced orbital space are compared. Our approach provides a simplified and efficient means to analyze real-time spectra irrespective of the nature of the excitations.},
doi = {10.1063/1.5061746},
journal = {Journal of Chemical Physics},
number = 10,
volume = 150,
place = {United States},
year = {Thu Mar 14 00:00:00 EDT 2019},
month = {Thu Mar 14 00:00:00 EDT 2019}
}

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Works referenced in this record:

Theoretical calculations of excited state absorption
journal, January 2000

  • Cronstrand, Peter; Christiansen, Ove; Norman, Patrick
  • Physical Chemistry Chemical Physics, Vol. 2, Issue 23
  • DOI: 10.1039/b006782m

Intense laser-field ionization of H 2 enhanced by two-electron dynamics
journal, October 2002


Real-time time-dependent electronic structure theory: Real-time electronic structure theory
journal, September 2017

  • Goings, Joshua J.; Lestrange, Patrick J.; Li, Xiaosong
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1
  • DOI: 10.1002/wcms.1341

Real-time linear response for time-dependent density-functional theory
journal, November 2004

  • Baer, Roi; Neuhauser, Daniel
  • The Journal of Chemical Physics, Vol. 121, Issue 20
  • DOI: 10.1063/1.1808412

Assessment of time-dependent density functional theory with the restricted excitation space approximation for excited state calculations of large systems
journal, November 2017


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
  • DOI: 10.1063/1.1904586

Comparison of Real-Time and Linear-Response Time-Dependent Density Functional Theories for Molecular Chromophores Ranging from Sparse to High Densities of States
journal, February 2015

  • Tussupbayev, Samat; Govind, Niranjan; Lopata, Kenneth
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 3
  • DOI: 10.1021/ct500763y

Modeling Fast Electron Dynamics with Real-Time Time-Dependent Density Functional Theory: Application to Small Molecules and Chromophores
journal, April 2011

  • Lopata, Kenneth; Govind, Niranjan
  • Journal of Chemical Theory and Computation, Vol. 7, Issue 5
  • DOI: 10.1021/ct200137z

Excited State Absorption from Real-Time Time-Dependent Density Functional Theory
journal, August 2015

  • Fischer, Sean A.; Cramer, Christopher J.; Govind, Niranjan
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 9
  • DOI: 10.1021/acs.jctc.5b00473

Modeling Optical Spectra of Large Organic Systems Using Real-Time Propagation of Semiempirical Effective Hamiltonians
journal, September 2017

  • Ghosh, Soumen; Andersen, Amity; Gagliardi, Laura
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 9
  • DOI: 10.1021/acs.jctc.7b00618

Linear-Response and Real-Time Time-Dependent Density Functional Theory Studies of Core-Level Near-Edge X-Ray Absorption
journal, August 2012

  • Lopata, K.; Van Kuiken, B. E.; Khalil, M.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 9
  • DOI: 10.1021/ct3005613

Peak-Shifting in Real-Time Time-Dependent Density Functional Theory
journal, September 2015

  • Provorse, Makenzie R.; Habenicht, Bradley F.; Isborn, Christine M.
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 10
  • DOI: 10.1021/acs.jctc.5b00559

Semi-empirical molecular orbital methods including dispersion corrections for the accurate prediction of the full range of intermolecular interactions in biomolecules
journal, January 2007

  • McNamara, Jonathan P.; Hillier, Ian H.
  • Physical Chemistry Chemical Physics, Vol. 9, Issue 19
  • DOI: 10.1039/b701890h

Singlet excited state absorption of porphyrin molecules for pico- and femtosecond optical limiting application
journal, June 2006

  • Barbosa Neto, N. M.; Oliveira, S. L.; Misoguti, L.
  • Journal of Applied Physics, Vol. 99, Issue 12
  • DOI: 10.1063/1.2204350

octopus: a tool for the application of time-dependent density functional theory
journal, September 2006

  • Castro, Alberto; Appel, Heiko; Oliveira, Micael
  • physica status solidi (b), Vol. 243, Issue 11
  • DOI: 10.1002/pssb.200642067

Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations
journal, December 2011

  • Helgaker, Trygve; Coriani, Sonia; Jørgensen, Poul
  • Chemical Reviews, Vol. 112, Issue 1
  • DOI: 10.1021/cr2002239

Density functional study on a light-harvesting carotenoid-porphyrin-C60 molecular triad
journal, October 2006

  • Baruah, Tunna; Pederson, Mark R.
  • The Journal of Chemical Physics, Vol. 125, Issue 16
  • DOI: 10.1063/1.2360265

Simulating Pump-Probe Photoelectron and Absorption Spectroscopy on the Attosecond Timescale with Time-Dependent Density Functional Theory
journal, March 2013

  • De Giovannini, Umberto; Brunetto, Gustavo; Castro, Alberto
  • ChemPhysChem, Vol. 14, Issue 7
  • DOI: 10.1002/cphc.201201007

Linear and nonlinear response functions for an exact state and for an MCSCF state
journal, April 1985

  • Olsen, Jeppe; Jo/rgensen, Poul
  • The Journal of Chemical Physics, Vol. 82, Issue 7
  • DOI: 10.1063/1.448223

The influence of initial conditions on charge transfer dynamics
journal, January 2009

  • Eshuis, Henk; van Voorhis, Troy
  • Physical Chemistry Chemical Physics, Vol. 11, Issue 44
  • DOI: 10.1039/b912085h

Excited-state absorption in tetrapyridyl porphyrins: comparing real-time and quadratic-response time-dependent density functional theory
journal, January 2017

  • Bowman, David N.; Asher, Jason C.; Fischer, Sean A.
  • Phys. Chem. Chem. Phys., Vol. 19, Issue 40
  • DOI: 10.1039/c7cp04567k

Ab initio time-resolved density functional theory for lifetimes of excited adsorbate states at metal surfaces
journal, May 2007


Core and valence excitations in resonant X-ray spectroscopy using restricted excitation window time-dependent density functional theory
journal, November 2012

  • Zhang, Yu; Biggs, Jason D.; Healion, Daniel
  • The Journal of Chemical Physics, Vol. 137, Issue 19
  • DOI: 10.1063/1.4766356

NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations
journal, September 2010

  • Valiev, M.; Bylaska, E. J.; Govind, N.
  • Computer Physics Communications, Vol. 181, Issue 9, p. 1477-1489
  • DOI: 10.1016/j.cpc.2010.04.018

Self-interaction correction in a real-time Kohn-Sham scheme: Access to difficult excitations in time-dependent density functional theory
journal, August 2012

  • Hofmann, D.; Kümmel, S.
  • The Journal of Chemical Physics, Vol. 137, Issue 6
  • DOI: 10.1063/1.4742763

Semiempirical Quantum Mechanical Methods for Noncovalent Interactions for Chemical and Biochemical Applications
journal, April 2016


Modeling laser induced molecule excitation using real-time time-dependent density functional theory: application to 5- and 6-benzyluracil
journal, January 2015

  • Bende, Attila; Toşa, Valer
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 8
  • DOI: 10.1039/c4cp03869j

Quantum coherent plasmon in silver nanowires: A real-time TDDFT study
journal, June 2014

  • Ding, Feizhi; Guidez, Emilie B.; Aikens, Christine M.
  • The Journal of Chemical Physics, Vol. 140, Issue 24
  • DOI: 10.1063/1.4884388

Characterizing the functional dynamics of zinc phthalocyanine from femtoseconds to nanoseconds
journal, April 2008

  • Savolainen, Janne; van der Linden, Dennis; Dijkhuizen, Niels
  • Journal of Photochemistry and Photobiology A: Chemistry, Vol. 196, Issue 1
  • DOI: 10.1016/j.jphotochem.2007.11.018

Excitation Energies from Real-Time Propagation of the Four-Component Dirac–Kohn–Sham Equation
journal, February 2015

  • Repisky, Michal; Konecny, Lukas; Kadek, Marius
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 3
  • DOI: 10.1021/ct501078d

Density Functional and Semiempirical Molecular Orbital Methods Including Dispersion Corrections for the Accurate Description of Noncovalent Interactions Involving Sulfur-Containing Molecules
journal, June 2007

  • Morgado, Claudio A.; McNamara, Jonathan P.; Hillier, Ian H.
  • Journal of Chemical Theory and Computation, Vol. 3, Issue 5
  • DOI: 10.1021/ct700072a

Electron dynamics with real-time time-dependent density functional theory
journal, February 2016

  • Provorse, Makenzie R.; Isborn, Christine M.
  • International Journal of Quantum Chemistry, Vol. 116, Issue 10
  • DOI: 10.1002/qua.25096

Solvent Effects on Intramolecular Charge Transfer Dynamics in a Fullerene Derivative
journal, February 2013

  • Chapman, Craig T.; Liang, Wenkel; Li, Xiaosong
  • The Journal of Physical Chemistry A, Vol. 117, Issue 13
  • DOI: 10.1021/jp312525j

Excited-State Absorption from Real-Time Time-Dependent Density Functional Theory: Optical Limiting in Zinc Phthalocyanine
journal, March 2016

  • Fischer, Sean A.; Cramer, Christopher J.; Govind, Niranjan
  • The Journal of Physical Chemistry Letters, Vol. 7, Issue 7
  • DOI: 10.1021/acs.jpclett.6b00282

OMx-D: semiempirical methods with orthogonalization and dispersion corrections. Implementation and biochemical application
journal, January 2008

  • Tuttle, Tell; Thiel, Walter
  • Physical Chemistry Chemical Physics, Vol. 10, Issue 16
  • DOI: 10.1039/b718795e

Density-functional theory of linear and nonlinear time-dependent molecular properties
journal, December 2002

  • Sałek, Paweł; Vahtras, Olav; Helgaker, Trygve
  • The Journal of Chemical Physics, Vol. 117, Issue 21
  • DOI: 10.1063/1.1516805

Simulating the optical properties of CdSe clusters using the RT-TDDFT approach
journal, February 2013


DFT Calculations on Charge-Transfer States of a Carotenoid-Porphyrin-C 60 Molecular Triad
journal, March 2009

  • Baruah, Tunna; Pederson, Mark R.
  • Journal of Chemical Theory and Computation, Vol. 5, Issue 4
  • DOI: 10.1021/ct900024f

Time dependent density functional theory of core electrons excitations
journal, May 2003


Dispersion treatment for NDDO-based semiempirical MO techniques
journal, January 2006

  • Martin, Bodo; Clark, Timothy
  • International Journal of Quantum Chemistry, Vol. 106, Issue 5
  • DOI: 10.1002/qua.20856

Ab initio modeling of excited state absorption of polyenes
journal, January 2001

  • Cronstrand, Peter; Christiansen, Ove; Norman, Patrick
  • Physical Chemistry Chemical Physics, Vol. 3, Issue 13
  • DOI: 10.1039/b101627j

Excited-State Studies of Polyacenes: A Comparative Picture Using EOMCCSD, CR-EOMCCSD(T), Range-Separated (LR/RT)-TDDFT, TD-PM3, and TD-ZINDO
journal, October 2011

  • Lopata, K.; Reslan, R.; Kowalska, M.
  • Journal of Chemical Theory and Computation, Vol. 7, Issue 11
  • DOI: 10.1021/ct2005165

Macroscopic dielectric function within time-dependent density functional theory—Real time evolution versus the Casida approach
journal, February 2017

  • Sander, Tobias; Kresse, Georg
  • The Journal of Chemical Physics, Vol. 146, Issue 6
  • DOI: 10.1063/1.4975193

Accelerated Broadband Spectra Using Transition Dipole Decomposition and Padé Approximants
journal, July 2016

  • Bruner, Adam; LaMaster, Daniel; Lopata, Kenneth
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00511

Predicting solvatochromic shifts and colours of a solvated organic dye: The example of nile red
journal, March 2017

  • Zuehlsdorff, T. J.; Haynes, P. D.; Payne, M. C.
  • The Journal of Chemical Physics, Vol. 146, Issue 12
  • DOI: 10.1063/1.4979196

Application of compressed sensing to the simulation of atomic systems
journal, August 2012

  • Andrade, X.; Sanders, J. N.; Aspuru-Guzik, A.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 35
  • DOI: 10.1073/pnas.1209890109

A time-dependent semiempirical approach to determining excited states
journal, June 2010

  • Bartell, Lizette A.; Wall, Michael R.; Neuhauser, Daniel
  • The Journal of Chemical Physics, Vol. 132, Issue 23
  • DOI: 10.1063/1.3453683

Nile Red as a solvatochromic dye for measuring solvent strength in normal liquids and mixtures of normal liquids with supercritical and near critical fluids
journal, March 1990

  • Deye, Jerry F.; Berger, T. A.; Anderson, Albert G.
  • Analytical Chemistry, Vol. 62, Issue 6
  • DOI: 10.1021/ac00205a015

Porphyrins
journal, February 1970


Kohn–Sham Decomposition in Real-Time Time-Dependent Density-Functional Theory: An Efficient Tool for Analyzing Plasmonic Excitations
journal, September 2017

  • Rossi, Tuomas P.; Kuisma, Mikael; Puska, Martti J.
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 10
  • DOI: 10.1021/acs.jctc.7b00589

Towards a ??next generation?? neglect of diatomic differential overlap based semiempirical molecular orbital technique
journal, November 2003

  • Winget, Paul; Sel�uki, Cenk; Horn, Anselm H. C.
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 110, Issue 4
  • DOI: 10.1007/s00214-003-0454-2

X-ray absorption resonances near L 2,3 -edges from real-time propagation of the Dirac–Kohn–Sham density matrix
journal, January 2015

  • Kadek, Marius; Konecny, Lukas; Gao, Bin
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 35
  • DOI: 10.1039/c5cp03712c

Application of compressed sensing to the simulation of atomic systems
text, January 2012


Time-dependent density functional theory: Past, present, and future
text, January 2004


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journal, January 2020

  • Baiardi, Alberto; Reiher, Markus
  • The Journal of Chemical Physics, Vol. 152, Issue 4
  • DOI: 10.1063/1.5129672

Modeling nonadiabatic dynamics in condensed matter materials: some recent advances and applications
journal, November 2019

  • Smith, Brendan; Akimov, Alexey V.
  • Journal of Physics: Condensed Matter, Vol. 32, Issue 7
  • DOI: 10.1088/1361-648x/ab5246