Vibrational Hamiltonian of tetrachloro-, tetrafluoro-, and mono- silanes using U(2) Lie algebras

Vijayasekhar, J.; Balla, Malleswara Rao

doi:10.1016/j.saa.2021.120289

Cited by 8 publications

(2 citation statements)

References 40 publications

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“…The Hamiltonian operator (H) associated with the Lie algebraic method for XYZ linear triatomic molecule (involving two stretching bonds, X-Y and Y-Z) is expressed as follows [8,9,10,11,12]:…”

Section: Lie Algebraic Methods For Xyz Linear Triatomic Molecule Of C...mentioning

confidence: 99%

Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

Lavanya,

Rao,

Vijayasekhar

2024

East Eur. J. Phys.

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This study thoroughly investigates the vibrational frequencies of carbonyl sulphide (12C16O32S) and hydrogen cyanide (HCN) up to the fifth harmonic level. It offers comprehensive insights into vibrational modes by using the Hamiltonian operator formalism and concentrating on invariant operators and algebraic parameters with a one-dimensional Lie algebraic method. The findings are significant for atmospheric chemistry, spectroscopy, and quantum chemistry, contributing to a deeper understanding of molecular dynamics. This research sets the groundwork for future studies in comparable compounds and applications.

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Section: Lie Algebraic Methods For Xyz Linear Triatomic Molecule Of C...mentioning

confidence: 99%

Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

Lavanya,

Rao,

Vijayasekhar

2024

East Eur. J. Phys.

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“…In this model, vibrational Hamiltonian matrix describes the vibrational energies of the molecule. In 1991, onedimesional Lie algebraic method applied for the study of vibrational frequencies of small size molecules by Iachello and co-researchers 1,2 and then this method was subsequently improved in vibrational spectra of medium-size molecules [3][4][5][6][7][8][9][10] .…”

Section: Introductionmentioning

confidence: 99%

Vibrational Frequencies of Oxygen Difluoride Using Lie Algebraic Model

2022

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Overtone Frequencies of NO2 using Lie algebraic model

2021

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In this paper, we used the one dimensional unitatry Lie algebraic model to compute the vibrational frequencies of nitrogen dioxide (NO2) molecule in the gas phase up to the sixth overtone. In this model, the Hamiltonian operator describes the stretching and bending vibrations with algebraic parameters. The calculated fundamental vibrational frequencies are compared with experimental values and results consistent with the reference values.

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Vibrational Hamiltonian of tetrachloro-, tetrafluoro-, and mono- silanes using U(2) Lie algebras

Cited by 8 publications

References 40 publications

Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

Vibrational Frequencies of Oxygen Difluoride Using Lie Algebraic Model

Overtone Frequencies of NO2 using Lie algebraic model

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