Author Type

Graduate Student

Date of Award

1976

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

In the well-known weak field sequence of perturbations, which is called the {L, S, J} representation, one considers the spin.-orbit perturbation immediately after interelectronic repulsions. If fhe spin-orbit effect is not large, as is the case for 3d^n systems, it is useful to obtain energy levels in a representation, {L, S, X}, with a sequence of perturbations in which the ligand field potential precedes the spin-orbit perturbation. For tetragonal ligand fields the {L,S,X} representation will give one coupling scheme if the cubic orientation is not maintained. If we go through cubic parentage, however, we have two additional coupling schemes depending on whether the spin-orbit perturbation is applied immediately after cubic or after cubic and axial potentials. We have devised these three coupling schemes by deriving the wave functions and energy matrices for the case of d^2 and d^8 electronic configurations. The purities of eigenfunctions for both the cubic and tetragonal cases have been obtained in the {L, S, X} and {L, S, J} representations. We find that the eigenfunctions are considerably purer in the new {L, S, X} representations even for large values of the spin-orbit constant.

Extent

170 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1976.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1976.

Identifier

FADT13787

Format

pdf

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