Masters Theses

Abstract

"It is generally accepted that a normal crystalline solid can be pictured at absolute zero as an assembly of atoms at rest arranged at periodic lattice points. Since at higher temperatures each molecule becomes a harmonic oscillator about its lattice point, it is necessary to know the distribution of normal modes of vibration in order to calculate the thermodynamic properties of the lattice...Many approaches have been made to get a simple solution of the problem, but either accuracy is sacrificed for simplicity, or the solutions demand a very considerable amount of labor. The classical theories failed to explain the change in specific heat with temperature, and other theories have not involved the true physical picture of the solid or the distribution of frequencies. It is the purpose of this paper; first, to discuss the equations of motion of the square and cubic lattices, and to discuss the geometry of the direct and reciprocal lattices to establish thermodynamic formulas for the face-centered cubic lattice as a function of the elastic constants and temperature"--Introduction, page 1-2.

Advisor(s)

Fisher, Emory D.

Department(s)

Physics

Degree Name

M.S. in Physics

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1950

Pagination

ii, 47 pages

Note about bibliography

Includes bibliographical references (pages 63-64).

Rights

© 1950 Charles Robert Bonnell, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Lattice dynamics
Specific heat
Thermodynamics -- Mathematical models

Thesis Number

T 898

Print OCLC #

5981547

Electronic OCLC #

707630763

Included in

Physics Commons

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