Doctoral Dissertations

Abstract

"A cellular model of simple liquids is proposed which eliminates the objectionable feature of long range order found in other cell models. The volume is divided into N identical spherically symmetric cells, each occupied by one molecule. The cell-center density distribution relative to an average given cell center forms a series of Gaussian peaks whose width is proportional to the square root of the distance from the given cell center. The number of cell centers and average radial distance represented by each of the peaks correspond to a face-centered cubic lattice. The molecular pair distribution function is determined for several temperatures and densities from the cell-center pair distribution and the molecular interaction through an integral relationship. The molecules are assumed to interact according to the Lennard-Jones 12-6 potential. The calculated molecular pair distribution functions agree qualitatively with experiment in most respects. Thermodynamic functions are then calculated for liquid argon from the molecular pair distribution and comparison made with results of experiment and other models. Reasonable agreement with experimental values is obtained near the triple point where the assumptions made are most valid. Extension of the range of densities for which this model gives meaningful values of the thermodynamic properties is achieved by a slight modification of the molecular pair distribution at small radial distances"--Abstract, pages ii-iii.

Advisor(s)

Lund, Louis H., 1919-1998

Committee Member(s)

Lee, Ralph E., 1921-2010
James, William Joseph
Anderson, Richard A.
Rivers, Jack L.
Hill, Otto H.

Department(s)

Physics

Degree Name

Ph. D. in Physics

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

ix, 112 Pages

Note about bibliography

Includes bibliographical references (Pages 109-111).

Rights

© 1970 Jesse Herbert Collins, II, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

LiquidsLiquids -- Mathematical modelsLattice theory

Thesis Number

T 2405

Print OCLC #

6023280

Electronic OCLC #

845062548

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