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Leading spectral moments for easy computation of pressure effects on rotational lines
Author(s) -
Sokolov Andrei,
Kouzov Alexander,
Buldyreva Jeanna
Publication year - 2020
Publication title -
journal of raman spectroscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.748
H-Index - 110
eISSN - 1097-4555
pISSN - 0377-0486
DOI - 10.1002/jrs.5923
Subject(s) - isotropy , limit (mathematics) , computation , anisotropy , fourier transform , spectral line , raman spectroscopy , physics , line (geometry) , transformation (genetics) , statistical physics , computational physics , chemistry , mathematical analysis , mathematics , quantum mechanics , algorithm , geometry , biochemistry , gene
Explicit classical‐limit formulae for two leading spectral moments characterizing the anisotropy of the interaction potential are derived for fast collisions of linear rotators in the binary regime. With the help of these moments, model Fourier‐transforms of the time‐correlation functions comprising non‐Markovian effects are restored, which enables a novel and straight approach to pressure transformation of broad spectral bands and pressure‐broadening characteristics of (vib)rotational spectral lines, as demonstrated on a simple Markov‐limit example of isotropic and anisotropic Raman line widths of molecular nitrogen.