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Hal
Article . 2022
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Molecular Physics
Article . 2022 . Peer-reviewed
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High-order contact transformations of molecular Hamiltonians: general approach, fast computational algorithm and convergence of ro-vibrational polyad models

Authors: Tyuterev, Vladimir; Tashkun, Sergey; Rey, Michael; Nikitin, Andrei;

High-order contact transformations of molecular Hamiltonians: general approach, fast computational algorithm and convergence of ro-vibrational polyad models

Abstract

The paper describes methods and fast computational algorithm for building effective Hamiltonians in molecular physics using perturbative approach. Various techniques of separation of fast and slow variables are considered in the general mathematical framework of contact transformations. The particular focus is on a systematic derivation of effective models for vibration-rotation spectroscopy from ab initio based potential energy surfaces with an exhaustive review of the previous studies in this field. We consider applications to various types of polyads coupled by Fermi, Coriolis, Darling-Dennison and other types of resonance interactions with the examples for asymmetric top, symmetric top and spherical top molecules. A flexible choce of the modelling operator accounts for strong coupling of various types of nuclear motion in molecules among closely lying levels including vibrational resonance schemes (2:1:2) , (2:1:2:1), (4:2:6:3), (3:2:1:2:1:1) etc that occur for C2v, C3v, and Td molecules and their isotopic species. The method is implemented in the MOL_CT program suite that offers a complementary tool to variational methods in terms of convergence and computational time. This permits an inclusion of a priori information to obtain physically meaningful values for the the resonance coupling terms in order to developing mixed "ab initio/effective" models with smaller number of adjustable parameters for analyses of molecular spectra.

Keywords

[PHYS]Physics [physics], колебательные полиады, пертурбативный подход, молекулярные гамильтонианы, 541, [PHYS] Physics [physics]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Average
Top 10%
Green