Masters Theses

Abstract

"In normal crystalline solids the atoms are at rest in their lattice points at absolute zero of temperature. Increasing the temperature of the crystal increases the motion of the atoms about their lattice points. Approximately, each atom or ion may be treated as a harmonic oscillator. then from the equations of motion of the atoms, by the Born-von Karman theory of specific heats, the normal modes of vibration of the lattice can be expressed as the roots of a secular determinant. Application of this theory to determine the thermodynamic properties of crystals has resulted either in solutions that are inaccurate because of oversimplification or in cumbersome accurate solutions. Moreover, all the solutions tend to fall with decreasing temperature. The purpose of this paper is to obtain the specific heat of a body-centered cubic crystal as a function of the absolute temperature, treating each atom as a harmonic oscillator vibrating about its lattice point. It is hoped that this method will show how the specific heat changes with temperature"--Introduction, page 1.

Advisor(s)

Fisher, Edward

Department(s)

Physics

Degree Name

M.S. in Physics

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1950

Pagination

iv, 42 pages

Note about bibliography

Includes bibliographical references (leaves 93-94).

Rights

© 1950 Curtis Cleveland Webster, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Lattice dynamics
Specific heat -- Measurement

Thesis Number

T 907

Print OCLC #

5981884

Electronic OCLC #

698101324

Included in

Physics Commons

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