中国物理B ›› 2023, Vol. 32 ›› Issue (4): 43301-043301.doi: 10.1088/1674-1056/ac8342

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A simple semiempirical model for the static polarizability of electronically excited atoms and molecules

Alexander S Sharipov, Alexey V Pelevkin, and Boris I Loukhovitski   

  1. Central Institute of Aviation Motors, Aviamotornaya 2, Moscow 111116, Russia
  • 收稿日期:2022-05-26 修回日期:2022-07-08 接受日期:2022-07-22 出版日期:2023-03-10 发布日期:2023-03-23
  • 通讯作者: Alexander S Sharipov E-mail:aleksandr.sharipov@phystech.edu,assharipov@ciam.ru
  • 基金资助:
    The work is supported by the grant of the Russian Science Foundation (project No. 22-29-00124).

A simple semiempirical model for the static polarizability of electronically excited atoms and molecules

Alexander S Sharipov, Alexey V Pelevkin, and Boris I Loukhovitski   

  1. Central Institute of Aviation Motors, Aviamotornaya 2, Moscow 111116, Russia
  • Received:2022-05-26 Revised:2022-07-08 Accepted:2022-07-22 Online:2023-03-10 Published:2023-03-23
  • Contact: Alexander S Sharipov E-mail:aleksandr.sharipov@phystech.edu,assharipov@ciam.ru
  • Supported by:
    The work is supported by the grant of the Russian Science Foundation (project No. 22-29-00124).

摘要: We present a semiempirical analytical model for the static polarizability of electronically excited atoms and molecules, which requires very few readily accessible input data, including the ground-state polarizability, elemental composition, ionization potential, and spin multiplicities of excited and ground states. This very simple model formulated in a semiclassical framework is based on a number of observed trends in polarizability of electronically excited compounds. To adjust the model, both accurate theoretical predictions and reliable measurements previously reported elsewhere for a broad range of multielectron species in the gas phase are utilized. For some representative compounds of general concern that have not yet attracted sufficient research interest, the results of our multireference second-order perturbation theory calculations are additionally engaged. We show that the model we developed has reasonable (given the considerable uncertainties in the reference data) accuracy in predicting the static polarizability of electronically excited species of arbitrary size and excitation energy. These findings can be useful for many applications, where there is a need for inexpensive and quick assessments of the static gas-phase polarizability of excited electronic states, in particular, when building the complex nonequilibrium kinetic models to describe the observed optical refractivity (dielectric permittivity) of nonthermal reacting gas flows.

关键词: polarizability, electronic excitation, semiempirical model, quantum chemistry

Abstract: We present a semiempirical analytical model for the static polarizability of electronically excited atoms and molecules, which requires very few readily accessible input data, including the ground-state polarizability, elemental composition, ionization potential, and spin multiplicities of excited and ground states. This very simple model formulated in a semiclassical framework is based on a number of observed trends in polarizability of electronically excited compounds. To adjust the model, both accurate theoretical predictions and reliable measurements previously reported elsewhere for a broad range of multielectron species in the gas phase are utilized. For some representative compounds of general concern that have not yet attracted sufficient research interest, the results of our multireference second-order perturbation theory calculations are additionally engaged. We show that the model we developed has reasonable (given the considerable uncertainties in the reference data) accuracy in predicting the static polarizability of electronically excited species of arbitrary size and excitation energy. These findings can be useful for many applications, where there is a need for inexpensive and quick assessments of the static gas-phase polarizability of excited electronic states, in particular, when building the complex nonequilibrium kinetic models to describe the observed optical refractivity (dielectric permittivity) of nonthermal reacting gas flows.

Key words: polarizability, electronic excitation, semiempirical model, quantum chemistry

中图分类号:  (Electric and magnetic moments (and derivatives), polarizability, and magnetic susceptibility)

  • 33.15.Kr
31.15.ap (Polarizabilities and other atomic and molecular properties) 31.15.vj (Electron correlation calculations for atoms and ions: excited states) 51.70.+f (Optical and dielectric properties)