Radial matrix elements and dipole moment function for the ground state of CO
Abstract
Radial matrix elements < vJ x^{k} v' J'> for k = 05, v = 012,  v' v = 04, and J up to 150 have been calculated for CO using accurate wavefunctions obtained from the numerical solution of the Schrödinger equation with a secondorder RKR potential curve. These are used in conjunction with a model dipole moment function (a Padé approximant which has the correct united and separated atom limits and R^{4} longrange behavior) to analyze the experimental intensity data. For all the levels considered, we conclude that an adequate representation of the dipole moment function is provided by a fiveterm power series expansion. This simplifies the computation of dipole moment matrix elements, typical results of which are presented to illustrate the dependence on the rotational and vibrational quantum numbers.
 Publication:

Journal of Molecular Spectroscopy
 Pub Date:
 May 1977
 DOI:
 10.1016/00222852(77)901990
 Bibcode:
 1977JMoSp..65..306K