𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Vibrational Excitations of Methane in the Framework of a Local-Mode Anharmonic Model

✍ Scribed by R. Lemus; A. Frank

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
263 KB
Volume
201
Category
Article
ISSN
0022-2852

No coin nor oath required. For personal study only.

✦ Synopsis

The stretching and bending vibrations of methane are described in a local-mode anharmonic symmetry adapted model. Both Hecht-and Fermi-like interactions are considered. We start by establishing the Hamiltonian of the system in terms of internal coordinates and momenta. The Hamiltonian is then rewritten in terms of local creation (annihilation) operators a i † (a i ), which are later anharmonized by means of the deformation of the harmonic oscillator algebra to the U(2) algebra. This procedure corresponds to the exact Morse result for the dominant matrix elements involved in the harmonically coupled anharmonic oscillator model (HCAO) introduced by Child and Lawton. We have carried out a fit to 40 experimental levels with an rms deviation of 1.17 cm Οͺ1 . In addition, we present a description of the dipole transition intensities.

πŸ“œ SIMILAR VOLUMES

The (5000) Local Mode Vibrational State
The (5000) Local Mode Vibrational State of Germane: A High-Resolution Spectroscopic Study
✍ Fu-ge Sun; Xiao-gang Wang; Jie-lou Liao; Qing-shi Zhu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 313 KB

The high-resolution spectrum of natural abundant germane in the region 9775-9950 cm 01 has been recorded. The observed spectrum is assigned as the (5000) stretching overtone band in local mode notation, which exhibits a striking resemblance to the K structure of parallel band of a symmetric top mole

Electron Dynamics in Tight-Binding Appro
Electron Dynamics in Tight-Binding Approximation - the Influence of Thermal Anharmonic Lattice Excitations
✍ A. P. Chetverikov; W. Ebeling; M.G. Velarde πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 322 KB

## Abstract We study here several basic problems of the quantum mechanics of electrons which are embedded into a onedimensional (1D) nonlinear, thermally excited lattice. Our approach uses the tight‐binding model for the dynamics of the electrons. Through coupling terms in the Hamiltonian the elect

Inverse Mode Problems for the Discrete M
Inverse Mode Problems for the Discrete Model of a Vibrating Beam
✍ Y.M. Ram πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 326 KB

Discrete models are constructed for a non-uniform cantilever beam by using eigendata. While the classical inverse vibration problem for the vibratory beam determines a model from eigenvalues corresponding to various end conditions, the constructions here are mainly based on eigenvector data. It is s

On the Elimination of Spurious Modes in
On the Elimination of Spurious Modes in Algebraic Models of Molecular Vibrations
✍ A. Frank; R. Lemus; F. PΓ©rez-Bernal; R. Bijker πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 77 KB

Spurious states arise naturally in the description of molecular vibrational excitations. In the harmonic approximation such states can be projected out from the physical space exactly. This is in general not the case when anharmonic interactions are considered. We show that within the framework of t