DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: State-to-state inelastic rotational cross sections in five-atom systems with the multiconfiguration time dependent Hartree method

Abstract

We present a MultiConfiguration Time Dependent Hartree (MCTDH) method as an attractive alternative approach to the usual quantum close-coupling method that approaches some computational limits in the calculation of rotational excitation (and de-excitation) between polyatomic molecules (here collisions between triatomic and diatomic rigid molecules). We have performed a computational investigation of the rotational (de-)excitation of the benchmark rigid rotor H2O–H2 system on a recently developed Potential Energy Surface of the complex using the MCTDH method. We focus here on excitations and de-excitations from the 000, 111, and 110 states of H2O with H2 in its ground rotational state, looking at all the potential transitions in the energy range 1–200 cm-1. This work follows a recently completed study on the H2O–H2 cluster where we characterized its spectroscopy and more generally serves a broader goal to describe inelastic collision processes of high dimensional systems using the MCTDH method. We find that the cross sections obtained from the MCTDH calculations are in excellent agreement with time independent calculations from previous studies but does become challenging for the lower kinetic energy range of the de-excitation process: that is, below approximately 20 cm-1 of collision energy, calculations with a relative modest basis become unreliable. Themore » MCTDH method therefore appears to be a useful complement to standard approaches to study inelastic collision for various collision partners, even at low energy, though performing better for rotational excitation than for de-excitation.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]
  1. Univ. of Rwanda, Kigali (Rwanda). ICTP-East African Inst. for Fundamental Research; Missouri Univ. of Science and Technology, Rolla, MO (United States). Dept. of Chemistry
  2. Univ. de Montpellier (France). Lab. Univers et Particule de Montpellier
  3. Univ. Paris-Sud - Univ. Paris-Saclay, Orsay (France). Inst. de Sciences Moléculaires d’Orsay
  4. Missouri Univ. of Science and Technology, Rolla, MO (United States). Dept. of Chemistry
Publication Date:
Research Org.:
Missouri Univ. of Science and Technology, Rolla, MO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1803877
Alternate Identifier(s):
OSTI ID: 1567922
Grant/Contract Number:  
SC0019740
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 151; Journal Issue: 13; 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

Ndengué, Steve, Scribano, Yohann, Gatti, Fabien, and Dawes, Richard. State-to-state inelastic rotational cross sections in five-atom systems with the multiconfiguration time dependent Hartree method. United States: N. p., 2019. Web. doi:10.1063/1.5119381.
Ndengué, Steve, Scribano, Yohann, Gatti, Fabien, & Dawes, Richard. State-to-state inelastic rotational cross sections in five-atom systems with the multiconfiguration time dependent Hartree method. United States. https://doi.org/10.1063/1.5119381
Ndengué, Steve, Scribano, Yohann, Gatti, Fabien, and Dawes, Richard. Tue . "State-to-state inelastic rotational cross sections in five-atom systems with the multiconfiguration time dependent Hartree method". United States. https://doi.org/10.1063/1.5119381. https://www.osti.gov/servlets/purl/1803877.
@article{osti_1803877,
title = {State-to-state inelastic rotational cross sections in five-atom systems with the multiconfiguration time dependent Hartree method},
author = {Ndengué, Steve and Scribano, Yohann and Gatti, Fabien and Dawes, Richard},
abstractNote = {We present a MultiConfiguration Time Dependent Hartree (MCTDH) method as an attractive alternative approach to the usual quantum close-coupling method that approaches some computational limits in the calculation of rotational excitation (and de-excitation) between polyatomic molecules (here collisions between triatomic and diatomic rigid molecules). We have performed a computational investigation of the rotational (de-)excitation of the benchmark rigid rotor H2O–H2 system on a recently developed Potential Energy Surface of the complex using the MCTDH method. We focus here on excitations and de-excitations from the 000, 111, and 110 states of H2O with H2 in its ground rotational state, looking at all the potential transitions in the energy range 1–200 cm-1. This work follows a recently completed study on the H2O–H2 cluster where we characterized its spectroscopy and more generally serves a broader goal to describe inelastic collision processes of high dimensional systems using the MCTDH method. We find that the cross sections obtained from the MCTDH calculations are in excellent agreement with time independent calculations from previous studies but does become challenging for the lower kinetic energy range of the de-excitation process: that is, below approximately 20 cm-1 of collision energy, calculations with a relative modest basis become unreliable. The MCTDH method therefore appears to be a useful complement to standard approaches to study inelastic collision for various collision partners, even at low energy, though performing better for rotational excitation than for de-excitation.},
doi = {10.1063/1.5119381},
journal = {Journal of Chemical Physics},
number = 13,
volume = 151,
place = {United States},
year = {Tue Oct 01 00:00:00 EDT 2019},
month = {Tue Oct 01 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Quantum dynamics of non-rigid systems comprising two polyatomic fragments
journal, December 1983


Influence of Renner–Teller Coupling between Electronic States on H + CO Inelastic Scattering
journal, July 2018

  • Ndengué, Steve; Dawes, Richard; Gatti, Fabien
  • The Journal of Physical Chemistry A, Vol. 122, Issue 31
  • DOI: 10.1021/acs.jpca.8b05235

Wave‐packet dynamics within the multiconfiguration Hartree framework: General aspects and application to NOCl
journal, September 1992

  • Manthe, U.; Meyer, H. ‐D.; Cederbaum, L. S.
  • The Journal of Chemical Physics, Vol. 97, Issue 5
  • DOI: 10.1063/1.463007

Calculation of the cumulative reaction probability via a discrete variable representation with absorbing boundary conditions
journal, March 1992

  • Seideman, Tamar; Miller, William H.
  • The Journal of Chemical Physics, Vol. 96, Issue 6
  • DOI: 10.1063/1.462832

Influence of collisional rate coefficients on water vapour excitation
journal, October 2012


Multidimensional Quantum Dynamics
book, April 2009


Chemical and radiative transfer modelling of the ISO-LWS Fabry-Perot spectra of Orion-KL water lines: Modelling far-IR H2O lines from Orion-KL
journal, July 2010


Wave packet correlation function formulation of scattering theory: The quantum analog of classical S ‐matrix theory
journal, March 1993

  • Tannor, David J.; Weeks, David E.
  • The Journal of Chemical Physics, Vol. 98, Issue 5
  • DOI: 10.1063/1.464016

Note: On the inclusion of a diagonal Born-Oppenheimer correction in the reduced dimensional treatment of the H2O–para-H2 complex
journal, June 2017

  • Scribano, Yohann; Faure, Alexandre
  • The Journal of Chemical Physics, Vol. 146, Issue 22
  • DOI: 10.1063/1.4986074

Rotational excitation of ortho-H 2 O by para-H 2 ( j 2 = 0, 2, 4, 6, 8) at high temperature
journal, February 2009


Scattering of CO with H 2 O: Statistical and classical alternatives to close-coupling calculations
journal, June 2018

  • Loreau, J.; Faure, A.; Lique, F.
  • The Journal of Chemical Physics, Vol. 148, Issue 24
  • DOI: 10.1063/1.5036819

Rovibrational energy transfer in ortho-H2+para-H2 collisions
journal, September 2007

  • Panda, Aditya N.; Otto, Frank; Gatti, Fabien
  • The Journal of Chemical Physics, Vol. 127, Issue 11
  • DOI: 10.1063/1.2776266

Atom-triatom rigid rotor inelastic scattering with the MultiConfiguration Time Dependent Hartree approach
journal, January 2017


Rovibrational states of the H 2 O–H 2 complex: An ab initio calculation
journal, January 2011

  • van der Avoird, Ad; Nesbitt, David J.
  • The Journal of Chemical Physics, Vol. 134, Issue 4
  • DOI: 10.1063/1.3533232

Collision dynamics for an asymmetric top rotor and a linear rotor: Coupled channel formalism and application to H 2 O–H 2
journal, April 1995

  • Phillips, Timothy R.; Maluendes, Sergio; Green, Sheldon
  • The Journal of Chemical Physics, Vol. 102, Issue 15
  • DOI: 10.1063/1.469337

Intermolecular rovibrational bound states of H2O H2 dimer from a MultiConfiguration Time Dependent Hartree approach
journal, January 2019


Mixed Quantum/Classical Approach for Description of Molecular Collisions in Astrophysical Environments
journal, May 2015


Pseudospectral method for solving the time‐dependent Schrödinger equation in spherical coordinates
journal, September 1992

  • Corey, Gregory C.; Lemoine, Didier
  • The Journal of Chemical Physics, Vol. 97, Issue 6
  • DOI: 10.1063/1.463916

Low-Energy Water–Hydrogen Inelastic Collisions
journal, July 2019

  • Bergeat, Astrid; Faure, Alexandre; Morales, Sébastien B.
  • The Journal of Physical Chemistry A
  • DOI: 10.1021/acs.jpca.9b04753

Collisional excitation of water in warm astrophysical media: I. Rate coefficients for rovibrationally excited states
journal, October 2008


Influence of a new potential energy surface on the rotational (de)excitation of H$_{\mathsf 2}$O by H$_{\mathsf 2}$ at low temperature
journal, September 2006


Rotational excitation cross sections of para-H2+para-H2 collisions. A full-dimensional wave-packet propagation study using an exact form of the kinetic energy
journal, November 2005

  • Gatti, Fabien; Otto, Frank; Sukiasyan, Suren
  • The Journal of Chemical Physics, Vol. 123, Issue 17
  • DOI: 10.1063/1.2085167

H2O maser pumping: The effect of quasi-resonance energy transfer in collisions between H2 and H2O molecules
journal, July 2014


Theoretical study of the rovibrational spectrum of H 2 O–H 2
journal, January 2011

  • Wang, Xiao-Gang; Carrington, Tucker
  • The Journal of Chemical Physics, Vol. 134, Issue 4
  • DOI: 10.1063/1.3533230

R12-calibrated H2O–H2 interaction: Full dimensional and vibrationally averaged potential energy surfaces
journal, October 2008

  • Valiron, Pierre; Wernli, Michael; Faure, Alexandre
  • The Journal of Chemical Physics, Vol. 129, Issue 13
  • DOI: 10.1063/1.2988314

Communication: Rotational excitation of interstellar heavy water by hydrogen molecules
journal, December 2010

  • Scribano, Yohann; Faure, Alexandre; Wiesenfeld, Laurent
  • The Journal of Chemical Physics, Vol. 133, Issue 23
  • DOI: 10.1063/1.3507877

Exact and constrained kinetic energy operators for polyatomic molecules: The polyspherical approach
journal, November 2009


Collisional excitation rates of H 2 O with H 2 : II. Rotational excitation with ortho-H
journal, September 2003


Grid method for the Wigner functions. Application to the van der Waals system Ar–H 2 O
journal, November 1994

  • Leforestier, Claude
  • The Journal of Chemical Physics, Vol. 101, Issue 9
  • DOI: 10.1063/1.468455

Rotational excitation of H 2 O by para -H 2 from an adiabatically reduced dimensional potential
journal, March 2012

  • Scribano, Yohann; Faure, Alexandre; Lauvergnat, David
  • The Journal of Chemical Physics, Vol. 136, Issue 9
  • DOI: 10.1063/1.3690881

SymPy: symbolic computing in Python
journal, January 2017

  • Meurer, Aaron; Smith, Christopher P.; Paprocki, Mateusz
  • PeerJ Computer Science, Vol. 3
  • DOI: 10.7717/peerj-cs.103

Exact and constrained kinetic energy operators for polyatomic molecules: The polyspherical approach
journal, November 2008


Collisional excitation rates of H 2 O with H 2 : I. Pure rotational excitation rates with para-H
journal, July 2002


Quasi-classical rate coefficient calculations for the rotational (de)excitation of H 2 O by H 2
journal, June 2007


An Efficient Statistical Method to Compute Molecular Collisional Rate Coefficients
journal, January 2018

  • Loreau, Jérôme; Lique, François; Faure, Alexandre
  • The Astrophysical Journal, Vol. 853, Issue 1
  • DOI: 10.3847/2041-8213/aaa5fe

Rotational Excitations in CO–CO Collisions at Low Temperature: Time-Independent and Multiconfigurational Time-Dependent Hartree Calculations
journal, February 2015

  • Ndengué, Steve A.; Dawes, Richard; Gatti, Fabien
  • The Journal of Physical Chemistry A, Vol. 119, Issue 28
  • DOI: 10.1021/acs.jpca.5b01022