The method of Kivelson and Wikon for calculating centrifugal distortion constants (to,p 6) has been sim-& -. plified. The quantities may be obtained wirith the aid of certain elements referred to as Tap s rnstead of
Calculated octic centrifugal distortion coefficients of non-linear molecules
โ Scribed by James K.G. Watson
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 162 KB
- Volume
- 795
- Category
- Article
- ISSN
- 0022-2860
No coin nor oath required. For personal study only.
โฆ Synopsis
The equilibrium octic centrifugal distortion coefficients of a molecule are coefficients of terms of the type H08 in the expansion of the effective Hamiltonian. They depend on the quartic potential constants k 0 klmn for the vibrational modes that have non-zero inertial derivatives, and therefore give information on these constants additional to that given by the other terms that depend on the quartic potential, H24 and H40 . The present work describes the calculation of these H08 terms from a given potential by perturbation theory, using a computer program that calculates the coefficients in the successive contact transformations. Results are presented for the SO 2 , ClO 2 , O 3 , and H 2 O molecules.
๐ SIMILAR VOLUMES
Our previously outlined method ( \(J\). Mol. Struct. THEOCHEM 99, 265-270, 1989) for employing analytic quantum chemical gradients to calculate the geometries, energies, and quartic spectroscopic constants for centrifugally distorted molecules is extended to describe noncentrosymmetric linear triato
The vector (observable) part of the hyperpolarizability tensor for frequency doubling, b"\_( -2w; w, o), is calculated using perturbation theory and the PPP model Hamiltonian. Calculations for a dozen representative molecules show that this method yields results in excellent agreement with experimen
The work deals with the eigenvalue problem of ordinary dierential equations with non-linear dependence of the equation coecients on the parameter. A set of theorems for the eigenvalue estimators is presented, on the basis of which a new algorithm can be proposed for determining the ยฎrst eigenvalue o