"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.
Lund, Louis H., 1919-1998
Rivers, Jack L.
Guigrich, Newell S.
Ph. D. in Physics
University of Missouri at Rolla
vi, 79 pages
© 1965 James M. Phillips, All rights reserved.
Dissertation - Open Access
Library of Congress Subject Headings
Liquids -- Density
Molecules -- Research
Print OCLC #
Electronic OCLC #
Link to Catalog Recordhttp://laurel.lso.missouri.edu/record=b1068694~S5
Phillips, James M., "Pair distribution for a cell-model liquid" (1965). Doctoral Dissertations. 1868.