Quantum dynamics of H2, D2, and HD in the small dodecahedral cage of clathrate hydrate: Evaluating H2 -water nanocage interaction potentials by comparison of theory with inelastic neutron scattering experiments

Minzhong Xu, Francesco Sebastianelli, Zlatko Bacic

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Abstract

We have performed rigorous quantum five-dimensional (5D) calculations and analysis of the translation-rotation (T-R) energy levels of one H2, D2, and HD molecule inside the small dodecahedral (H2 O)20 cage of the structure II clathrate hydrate, which was treated as rigid. The H2 - cage intermolecular potential energy surface (PES) used previously in the molecular dynamics simulations of the hydrogen hydrates [Alavi, J. Chem. Phys. 123, 024507 (2005)] was employed. This PES, denoted here as SPC/E, combines an effective, empirical water-water pair potential [Berendsen, J. Phys. Chem. 91, 6269 (1987)] and electrostatic interactions between the partial charges placed on H2 O and H2. The 5D T-R eigenstates of HD were calculated also on another 5D H2 -cage PES denoted PA-D, used by us earlier to investigate the quantum T-R dynamics of H2 and D2 in the small cage [Xu, J. Phys. Chem. B 110, 24806 (2006)]. In the PA-D PES, the hydrogen-water pair potential is described by the ab initio 5D PES of the isolated H2 - H2 O dimer. The quality of the SPC/E and the PA-D H2 -cage PESs was tested by direct comparison of the T-R excitation energies calculated on them to the results of two recent inelastic neutron scattering (INS) studies of H 2 and HD inside the small clathrate cage. The translational fundamental and overtone excitations, as well as the triplet splittings of the j=0→j=1 rotational transitions, of H2 and HD in the small cage calculated on the SPC/E PES agree very well with the INS results and represent a significant improvement over the results computed on the PA-D PES. Our calculations on the SPC/E PES also make predictions about several spectroscopic observables for the encapsulated H2, D2, and HD, which have not been measured yet.

Original languageEnglish (US)
Article number244715
JournalJournal of Chemical Physics
Volume128
Issue number24
DOIs
StatePublished - 2008

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Potential energy surfaces
Inelastic neutron scattering
clathrates
Hydrates
hydrates
inelastic scattering
neutron scattering
potential energy
Water
water
Experiments
interactions
Hydrogen
Excitation energy
hydrogen
Coulomb interactions
Dimers
Electron energy levels
excitation
Molecular dynamics

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

@article{add9f62c381d4062bf04c84c2c22bf15,
title = "Quantum dynamics of H2, D2, and HD in the small dodecahedral cage of clathrate hydrate: Evaluating H2 -water nanocage interaction potentials by comparison of theory with inelastic neutron scattering experiments",
abstract = "We have performed rigorous quantum five-dimensional (5D) calculations and analysis of the translation-rotation (T-R) energy levels of one H2, D2, and HD molecule inside the small dodecahedral (H2 O)20 cage of the structure II clathrate hydrate, which was treated as rigid. The H2 - cage intermolecular potential energy surface (PES) used previously in the molecular dynamics simulations of the hydrogen hydrates [Alavi, J. Chem. Phys. 123, 024507 (2005)] was employed. This PES, denoted here as SPC/E, combines an effective, empirical water-water pair potential [Berendsen, J. Phys. Chem. 91, 6269 (1987)] and electrostatic interactions between the partial charges placed on H2 O and H2. The 5D T-R eigenstates of HD were calculated also on another 5D H2 -cage PES denoted PA-D, used by us earlier to investigate the quantum T-R dynamics of H2 and D2 in the small cage [Xu, J. Phys. Chem. B 110, 24806 (2006)]. In the PA-D PES, the hydrogen-water pair potential is described by the ab initio 5D PES of the isolated H2 - H2 O dimer. The quality of the SPC/E and the PA-D H2 -cage PESs was tested by direct comparison of the T-R excitation energies calculated on them to the results of two recent inelastic neutron scattering (INS) studies of H 2 and HD inside the small clathrate cage. The translational fundamental and overtone excitations, as well as the triplet splittings of the j=0→j=1 rotational transitions, of H2 and HD in the small cage calculated on the SPC/E PES agree very well with the INS results and represent a significant improvement over the results computed on the PA-D PES. Our calculations on the SPC/E PES also make predictions about several spectroscopic observables for the encapsulated H2, D2, and HD, which have not been measured yet.",
author = "Minzhong Xu and Francesco Sebastianelli and Zlatko Bacic",
year = "2008",
doi = "10.1063/1.2945895",
language = "English (US)",
volume = "128",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
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TY - JOUR

T1 - Quantum dynamics of H2, D2, and HD in the small dodecahedral cage of clathrate hydrate

T2 - Evaluating H2 -water nanocage interaction potentials by comparison of theory with inelastic neutron scattering experiments

AU - Xu, Minzhong

AU - Sebastianelli, Francesco

AU - Bacic, Zlatko

PY - 2008

Y1 - 2008

N2 - We have performed rigorous quantum five-dimensional (5D) calculations and analysis of the translation-rotation (T-R) energy levels of one H2, D2, and HD molecule inside the small dodecahedral (H2 O)20 cage of the structure II clathrate hydrate, which was treated as rigid. The H2 - cage intermolecular potential energy surface (PES) used previously in the molecular dynamics simulations of the hydrogen hydrates [Alavi, J. Chem. Phys. 123, 024507 (2005)] was employed. This PES, denoted here as SPC/E, combines an effective, empirical water-water pair potential [Berendsen, J. Phys. Chem. 91, 6269 (1987)] and electrostatic interactions between the partial charges placed on H2 O and H2. The 5D T-R eigenstates of HD were calculated also on another 5D H2 -cage PES denoted PA-D, used by us earlier to investigate the quantum T-R dynamics of H2 and D2 in the small cage [Xu, J. Phys. Chem. B 110, 24806 (2006)]. In the PA-D PES, the hydrogen-water pair potential is described by the ab initio 5D PES of the isolated H2 - H2 O dimer. The quality of the SPC/E and the PA-D H2 -cage PESs was tested by direct comparison of the T-R excitation energies calculated on them to the results of two recent inelastic neutron scattering (INS) studies of H 2 and HD inside the small clathrate cage. The translational fundamental and overtone excitations, as well as the triplet splittings of the j=0→j=1 rotational transitions, of H2 and HD in the small cage calculated on the SPC/E PES agree very well with the INS results and represent a significant improvement over the results computed on the PA-D PES. Our calculations on the SPC/E PES also make predictions about several spectroscopic observables for the encapsulated H2, D2, and HD, which have not been measured yet.

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