SPHEROIDAL ANALYSIS OF THE ANGULAR-DISTRIBUTION OF AUGER ELECTRONS EMITTED BY HOMONUCLEAR DIATOMIC-MOLECULES

Procedures for calculating the angular distribution of Auger electrons emitted by homonuclear diatomic molecules are presented. The calculat ion is performed in prolate spheroidal coordinates. A two-center effec tive potential is introduced to simplify the Schrodinger equation for an electron moving under the influence of the nuclei and other electro ns. The effective potential is expressed by having equal fixed effecti ve charges on each nucleus. The wave functions for the bound-state mol ecular orbitals and those for the Auger electron are obtained by solvi ng the Schrodinger equation in which the appropriate experimental ener gies are used as the eigenvalues. The transition moments and the angul ar distribution of the Auger electron in the molecular frame are obtai ned by numerical integrations. For a specific Auger transition process , the distribution function is expressed in terms of the absolute squa re of a coherent sum of prolate spheroidal functions. In order to comp are the predicted distribution function to our experimental results, c orrections due to the rotation of the molecular ions during the course of dissociation are made.