The stretching vibration-rotation Hamiltonian of tetrahedral molecules is derived in the local-mode model. The result shows that the effective rotational Hamiltonian of a local-mode state gives rise to symmetric-top rotational energy levels, which are quantitatively in good agreement with experiment
Effective rotational Hamiltonian of the local mode vibrational states
β Scribed by Qing-shi Zhu
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 384 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1386-1425
No coin nor oath required. For personal study only.
β¦ Synopsis
The effective rotational Hamiltonians of the local mode states are derived for XY,, XY, and XY4 molecules by averaging the vibration-rotation Hamiltonians using the corresponding local mode vibrational wavefunctions. The results indicate that in a local mode vibrational state the molecular symmetry is reduced by the coupling of Hz term. A tetrahedral molecule reduces to a Cs, symmetric top, a symmetric top becomes an asymmetric top, while the degree of asymmetry increases for an asymmetric top. The vibrational dependences of rotational constants and vibration-rotation coupling parameters predicted by present theory are in good agreement with those obtained experimentally from SiH, local mode vibrational bands.
π SIMILAR VOLUMES
The absorption spectrum of H 2 S has been recorded by intracavity laser absorption spectroscopy in the spectral region 16 180-16 440 cm -1 corresponding to an excitation of the (70 Β± , 0) local mode pair. Seventy-seven sublevels could be rotationally assigned and fitted with a rms of 0.009 cm -1 by
A method for using a single Kindependent grid for problems where otherwise a basis of associated Legendre functions or the corresponding K-dependent grids would be employed, specific&y for calculating the rotational-vibrational energy Ievels of a triatomic molecule, has been described and tested. K