Doctoral Dissertations

Abstract

"Extensive numerical and analytic studies of vibrational spectra, normal modes, thermodynamic properties, and dynamical properties of harmonic systems with varying degrees of substitutional disorder have been made. The effects on observable properties of random mixtures of two or more species of atoms with differing masses and differing couplings to nearest-and next-nearest-neighbors have been investigated. Using the IBM-7030 digital computer, spectra for linear chains of 100,000 atoms have been obtained. Calculations in two and three dimensions have been limited to arrays of approximately 1000 atoms. Varying composition, mass ratio, and order affect the spectra in two and three dimensions in ways analogous to those effected in the linear chain. A physical interpretation of the complex nature of the disordered spectrum is given. The effects of disorder on the dynamics of binary disordered harmonic chains have been studied and have been found to be quite pronounced"--Abstract, page ii.

Advisor(s)

Lund, Louis H., 1919-1998

Department(s)

Physics

Degree Name

Ph. D. in Physics

Comments

Not numbered but inserted between the Title Page and Abstract (page ii) are the following seven pages: Acknowledgment, Table of Contents, List of Tables, List of Figures (3 pages), a second copy of the Title Page
Ph. D., Physics, source 1995 Alumni Directgory, MSM-UMR Alumni Association

Publisher

University of Missouri at Rolla

Publication Date

1966

Pagination

ii, 162 pages

Note about bibliography

Includes bibliographical references (pages 149-154).

Rights

© 1966 Daniel N. Payton, III, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Lattice dynamics
Thermodynamics -- Mathematical models
Spectrum analysis

Thesis Number

T 1868

Print OCLC #

5973511

Electronic OCLC #

896827063

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