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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Nature Portfolio
2017
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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) |
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Medicine R Science Q Joonsuk Huh Robert Berger Cumulant expansion for fast estimate of non-Condon effects in vibronic transition profiles |
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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 |
work_keys_str_mv |
AT joonsukhuh cumulantexpansionforfastestimateofnoncondoneffectsinvibronictransitionprofiles AT robertberger cumulantexpansionforfastestimateofnoncondoneffectsinvibronictransitionprofiles |
_version_ |
1718388546590474240 |