Doctoral Dissertations

Abstract

"The pair distribution function for a cell-model liquid has been derived by Lund in the form of an integral equation which depends upon the cell-center distribution function and the cell model. From this integral equation an approximate integral equation is obtained by substituting a function, which is linearly dependent upon the molecular pair distribution function and a variable parameter for the cell-center distribution function. This approximate integral equation is solved for the molecular pair distribution and the variable parameter is shown to depend upon the difference between temperature and the critical temperature. Although the exact numerical solution of the molecular pair distribution is not practical because of a great number of arbitrary constants of integration, the stability of phase can be noted above and below the critical point. The solution for the molecular pair distribution function is shown to agree with the Ornstein-Zernike theory in the neighborhood of the critical point. It is indicated that the long range order criticism of the cell model need not apply when the cell center pair distribution is not a regular lattice representation"--page iii.

Advisor(s)

Lund, Louis H., 1919-1998

Committee Member(s)

Rivers, Jack L.
Guigrich, Newell S.

Department(s)

Physics

Degree Name

Ph. D. in Physics

Publisher

University of Missouri at Rolla

Publication Date

1965

Pagination

vi, 79 pages

Note about bibliography

Includes bibliographical references (pages 74-77).

Rights

© 1965 James M. Phillips, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Cells
Integral equations
Liquids -- Density
Molecules -- Research

Thesis Number

T 1775

Print OCLC #

5968882

Electronic OCLC #

805419560

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