Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-28T02:13:00.506Z Has data issue: false hasContentIssue false

XX.—On the Theory of Binary Fluid Mixtures

Published online by Cambridge University Press:  14 February 2012

F. J. Pearson
Affiliation:
Physics Department, King's College, Newcastle upon Tyne, in the University of Durham.
G. S. Rushbrooke
Affiliation:
Physics Department, King's College, Newcastle upon Tyne, in the University of Durham.

Extract

A number of analogues to the simple fluid compressibility equation are deduced by considering fluctuations in a binary mixture; and their simplest expressions are found to be in terms of the binary mixture direct correlation functions. The accuracy of these results is tested with the aid of the appropriate extension of the approximate Born-Green theory, which facilitates the demonstration of consistency with the first three terms of the virial expansion. The problem of the evaluation of the corresponding radial distribution functions by means of X-ray or optical scattering is taken as far as the determination, in principle, of a concentration correlation function from observations of critical opalescence.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References to Literature

de Boer, J., 1949. Reps. Progr. Phys., 12, 305.CrossRefGoogle Scholar
Fournet, G., 1951. J. Phys. Had., 12, 292.Google Scholar
Furth, R., and Williams, C. L., 1954. Proc. Roy. Soc. Lond., A, 224, 104.Google Scholar
Green, H. S., 1952. Molecular Theory of Fluids. North-Holland Publishing Co., Amsterdam.Google Scholar
Hirschfelder, J. O., Curtiss, C. F., and Bird, R. B., 1954. Molecular Theory of Liquids and Gases, Wiley, New York.Google Scholar
Kirkwood, J. G., and Goldberg, R. J., 1950. J. Chem. Phys., 18, 54.CrossRefGoogle Scholar
Klein, M. J., and Tisza, L., 1949. Phys. Rev., 76, 1861.CrossRefGoogle Scholar
Landau, L., and Lifshitz, E., 1938. Statistical Physics. Oxford University Press.Google Scholar
Mayer, J. E., 1939. J. Phys. Chem., 43, 71.CrossRefGoogle Scholar
Munster, A., 1953. Z. Phys., 136, 179.CrossRefGoogle Scholar
Ornstein, L. S., and Zernike, F., 1914 Proc. Acad. Sci. Amst., 17, 795.Google Scholar
Prigogine, I., and Defay, R., 1954. Chemical Thermodynamics. Longmans, Green, London.Google Scholar
Quantie, C., 1954. Proc. Roy. Soc. Lond., A, 224, 90.Google Scholar
Rosenfeld, L., 1951. Theory of Electrons. North-Holland Publishing Co., Amsterdam.Google Scholar
Rushbrooke, G. S., 1952. Phil. Mag., 43, 1276.CrossRefGoogle Scholar
Rushbrooke, G. S., and Scoins, H. I., 1953. Proc. Roy. Soc. Lond., A, 216, 203.Google Scholar
Stockmayer, W. H., 1950. J. Chem. Phys., 18, 58.CrossRefGoogle Scholar
Zernike, F., 1916. Proc. Acad. Sci. Amst., 17, 793.Google Scholar