Fermi resonance-algebraic model for molecular vibrational spectra

Xiwen Hou; Shihai Dong; Mi Xie; Zhongqi Ma

doi:10.1007/BF02876573

Fermi resonance-algebraic model for molecular vibrational spectra

Xiwen Hou, Shihai Dong, Mi Xie, Zhongqi Ma

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U (2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent molecule XY₂ and a molecule XY₃ is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH₃), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.

Original language	English
Pages (from-to)	207-212
Number of pages	6
Journal	Science in China, Series A: Mathematics, Physics, Astronomy
Volume	42
Issue number	2
DOIs	https://doi.org/10.1007/BF02876573
State	Published - Feb 1999
Externally published	Yes

Keywords

Fermi resonance
U (2) algebra
Vibrational spectra

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10.1007/BF02876573

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title = "Fermi resonance-algebraic model for molecular vibrational spectra",

abstract = "A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U (2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent molecule XY2 and a molecule XY3 is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.",

keywords = "Fermi resonance, U (2) algebra, Vibrational spectra",

author = "Xiwen Hou and Shihai Dong and Mi Xie and Zhongqi Ma",

note = "Funding Information: * Project supported by the National Natural Science Foundation of China (Grant No. Sciences.",

year = "1999",

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doi = "10.1007/BF02876573",

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T1 - Fermi resonance-algebraic model for molecular vibrational spectra

AU - Hou, Xiwen

AU - Dong, Shihai

AU - Xie, Mi

AU - Ma, Zhongqi

N1 - Funding Information: * Project supported by the National Natural Science Foundation of China (Grant No. Sciences.

PY - 1999/2

Y1 - 1999/2

N2 - A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U (2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent molecule XY2 and a molecule XY3 is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.

AB - A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U (2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for a bent molecule XY2 and a molecule XY3 is successfully applied to fitting the recently observed vibrational spectrum of the water molecule and arsine (AsH3), respectively, and the results are compared with those of other models. Calculations show that algebraic approaches can be used as an effective method to describe molecular vibrations with small standard deviations.

KW - Fermi resonance

KW - U (2) algebra

KW - Vibrational spectra

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U2 - 10.1007/BF02876573

DO - 10.1007/BF02876573

M3 - Artículo

SN - 1006-9283

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SP - 207

EP - 212

JO - Science in China, Series A: Mathematics, Physics, Astronomy

JF - Science in China, Series A: Mathematics, Physics, Astronomy

IS - 2

ER -

Fermi resonance-algebraic model for molecular vibrational spectra

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Keywords

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