Analytic route to tunneling splittings using semiclassical perturbation theory

We present an efficient, analytical, and simple route to approximating tunneling splittings in multidimensional chemical systems, directly from ab initio computations. The method is based on the Wentzel–Kramers–Brillouin (WKB) approximation combined with the vibrational perturbation theory. Anharmon...

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Main Authors: Burd, TAH, Clary, DC
Format: Journal article
Language:English
Published: American Chemical Society 2020
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author Burd, TAH
Clary, DC
author_facet Burd, TAH
Clary, DC
author_sort Burd, TAH
collection OXFORD
description We present an efficient, analytical, and simple route to approximating tunneling splittings in multidimensional chemical systems, directly from ab initio computations. The method is based on the Wentzel–Kramers–Brillouin (WKB) approximation combined with the vibrational perturbation theory. Anharmonicity and corner-cutting effects are implicitly accounted for without requiring a full potential energy surface. We test this method on the following three systems: a model one-dimensional double-well potential, the isomerization of malonaldehyde, and the isomerization of tropolone. The method is shown to be efficient and reliable.
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spelling oxford-uuid:8a7dd2f1-22e1-4fc6-8ec9-26e3c5e6637e2022-03-26T22:32:00ZAnalytic route to tunneling splittings using semiclassical perturbation theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8a7dd2f1-22e1-4fc6-8ec9-26e3c5e6637eEnglishSymplectic ElementsAmerican Chemical Society2020Burd, TAHClary, DCWe present an efficient, analytical, and simple route to approximating tunneling splittings in multidimensional chemical systems, directly from ab initio computations. The method is based on the Wentzel–Kramers–Brillouin (WKB) approximation combined with the vibrational perturbation theory. Anharmonicity and corner-cutting effects are implicitly accounted for without requiring a full potential energy surface. We test this method on the following three systems: a model one-dimensional double-well potential, the isomerization of malonaldehyde, and the isomerization of tropolone. The method is shown to be efficient and reliable.
spellingShingle Burd, TAH
Clary, DC
Analytic route to tunneling splittings using semiclassical perturbation theory
title Analytic route to tunneling splittings using semiclassical perturbation theory
title_full Analytic route to tunneling splittings using semiclassical perturbation theory
title_fullStr Analytic route to tunneling splittings using semiclassical perturbation theory
title_full_unstemmed Analytic route to tunneling splittings using semiclassical perturbation theory
title_short Analytic route to tunneling splittings using semiclassical perturbation theory
title_sort analytic route to tunneling splittings using semiclassical perturbation theory
work_keys_str_mv AT burdtah analyticroutetotunnelingsplittingsusingsemiclassicalperturbationtheory
AT clarydc analyticroutetotunnelingsplittingsusingsemiclassicalperturbationtheory