Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles

Abstract When existing, cumulants can provide valuable information about a given distribution and can in principle be used to either fully reconstruct or approximate the parent distribution function. A previously reported cumulant expansion approach for Franck–Condon profiles [Faraday Discuss., 150,...

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Autores principales: Joonsuk Huh, Robert Berger
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/db9a25141ff64723b7ed23f0ab227e88
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spelling oai:doaj.org-article:db9a25141ff64723b7ed23f0ab227e882021-12-02T15:06:16ZCumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles10.1038/s41598-017-17506-82045-2322https://doaj.org/article/db9a25141ff64723b7ed23f0ab227e882017-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-17506-8https://doaj.org/toc/2045-2322Abstract When existing, cumulants can provide valuable information about a given distribution and can in principle be used to either fully reconstruct or approximate the parent distribution function. A previously reported cumulant expansion approach for Franck–Condon profiles [Faraday Discuss., 150, 363 (2011)] is extended to describe also the profiles of vibronic transitions that are weakly allowed or forbidden in the Franck–Condon approximation (non-Condon profiles). In the harmonic approximation the cumulants of the vibronic profile can be evaluated analytically and numerically with a coherent state-based generating function that accounts for the Duschinsky effect. As illustration, the one-photon 1 1Ag → 1 1B2u UV absorption profile of benzene in the electric dipole and (linear) Herzberg–Teller approximation is presented herein for zero Kelvin and finite temperatures.Joonsuk HuhRobert BergerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Joonsuk Huh
Robert Berger
Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
description Abstract When existing, cumulants can provide valuable information about a given distribution and can in principle be used to either fully reconstruct or approximate the parent distribution function. A previously reported cumulant expansion approach for Franck–Condon profiles [Faraday Discuss., 150, 363 (2011)] is extended to describe also the profiles of vibronic transitions that are weakly allowed or forbidden in the Franck–Condon approximation (non-Condon profiles). In the harmonic approximation the cumulants of the vibronic profile can be evaluated analytically and numerically with a coherent state-based generating function that accounts for the Duschinsky effect. As illustration, the one-photon 1 1Ag → 1 1B2u UV absorption profile of benzene in the electric dipole and (linear) Herzberg–Teller approximation is presented herein for zero Kelvin and finite temperatures.
format article
author Joonsuk Huh
Robert Berger
author_facet Joonsuk Huh
Robert Berger
author_sort Joonsuk Huh
title Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
title_short Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
title_full Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
title_fullStr Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
title_full_unstemmed Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles
title_sort cumulant expansion for fast estimate of non-condon effects in vibronic transition profiles
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/db9a25141ff64723b7ed23f0ab227e88
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AT robertberger cumulantexpansionforfastestimateofnoncondoneffectsinvibronictransitionprofiles
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