Abstract
The analytic solution of the mean spherical approximation (MSA) for a multicomponent mixture of hard ions and hard dipoles with arbitrary valences and sizes of particles in a uniform neutralizing background is found. Expressions for the pair correlation functions and thermodynamics in the MSA are obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. R. Yukhnovsky and M. F. Golovko,The Statistical Theory of Classical Equilibrium Systems (Naukowa Dumka, Kiev, 1980) (in Russian).
L. Blum and F. Vericat, inThe Chemical Physics of Solvation, R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and J. Ulstrup, eds. (Elsevier, Amsterdam, 1985), Chapter 5, p. 143.
M. F. Golovko and I. R. Yukhnovsky, inThe Chemical Physics of Solvation, R. R. Dogonadze, E. Kalman, A. A. Kornyshev, and J. Ulstrup (Elsevier, Amsterdam, 1985), Chapter 6, p. 207.
D. Levesque, J. Weis, and G. N. Patey,J. Chem. Phys. 72:1887 (1980).
P. Garisto, P. Kusalik, and G. N. Patey,J. Chem. Phys. 79:6294 (1983).
C. W. Outhwaite,Mol. Phys. 31:1345 (1976);33:1229 (1977).
S. R. Adelman and J. H. Chen,J. Chem. Phys. 70:4291 (1979).
L. Blum,Chem. Phys. Lett. 26:200 (1974);J. Chem. Phys. 61:2129 (1974).
S. A. Adelman and J. M. Deutch,J. Chem. Phys. 60:3935 (1974).
F. Vericat and L. Blum,J. Stat. Phys. 22:593 (1980).
M. F. Golovko, The statistical theory of mixed ion-molecular systems, Doctoral Thesis, Institute for Theoretical Physics, Kiev (1979) (in Russian).
J. S. Høye and E. Lomba,J. Chem. Phys. 88:5790 (1988).
L. Blum,J. Stat. Phys. 18:451 (1978).
L. Blum and D. Q. Wei,J. Chem. Phys. 87:555 (1987); D. Q. Wei and L. Blum,J. Chem. Phys. 87:2999 (1987).
M. F. Golovko and I. A. Protsykevich,Chem. Phys. Lett. 142:463 (1987).
M. F. Golovko and I. A. Protsykevich, The screened potentials of asymmetric ion-dipole systems, Preprint ITP-86-168R, Institute for Theoretical Physics, Kiev (1987) (in Russian).
J. L. Lebowitz and J. K. Percus,Phys. Rev. 144:251 (1966).
H. C. Andersen and D. Chandler,J. Chem. Phys. 57:1818 (1972).
J. S. Høye, J. L. Lebowitz, and G. Stell,J. Chem. Phys. 61:3253 (1974).
F. Vericat and L. Blum,Mol. Phys. 45:1067 (1982).
E. Waisman and J. L. Lebowitz,J. Chem. Phys. 52:430 (1970);56:3086 (1972).
L. Blum,Mol. Phys. 30:1529 (1975).
L. Blum and J. S. Høye,J. Phys. Chem. 81:1311 (1977).
M. S. Wertheim,J. Chem. Phys. 55:4291 (1971).
L. Blum and A. J. Toruella,J. Chem. Phys. 56:303 (1972).
L. Blum,J. Chem. Phys. 57:1862 (1972);58:3295 (1973).
R. J. Baxter,Aust. J. Phys. 21:563 (1968); J. Chem. Phys.52:4559 (1970).
M. S. Wertheim,J. Math. Phys. 5:643 (1964).
M. F. Golovko and I. A. Protsykevich, Analytic solution of the mean spherical approximation for asymmetric ion-dipole model in a uniform neutralizing background, Preprint ITP-87-40E, Institute for Theoretical Physics, Kiev (1987).
J. S. Thompson,Electrons in Liquid Ammonia (Clarendon Press, Oxford, 1976).
R. G. Palmer and J. D. Weeks,J. Chem. Phys. 58:4771 (1973).
M. Parinello and M. P. Tosi,Chem. Phys. Lett. 64:579 (1979).
M. F. Golovko and I. A. Protsykevich, Screened potentials of ionic systems in the neutralizing background, Preprint ITP-86-45R, Institute for Theoretical Physics, Kiev (1986) (in Russian).
H. B. Singh and A. Holz,Phys. Rev. A 28:1108 (1983).
S. K. Lai,Phys. Rev. A 31:3886 (1986).
G. Chabrier and J.-P. Hansen,Mol. Phys. 50:901 (1983);59:1345 (1986).
G. Chabrier, G. Senatore, and M. P. Tosi,Nuovo Cimento 1D:409 (1982).
J. S. Høye and G. Stell,J. Chem. Phys. 67:439 (1977).
D. I. C. Chan, D. J. Mitchell, and B. W. Ninham,J. Chem. Phys. 72:2946 (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Golovko, M.F., Protsykevich, I.A. Analytic solution of the mean spherical approximation for ion-dipole model in a neutralizing background. J Stat Phys 54, 707–733 (1989). https://doi.org/10.1007/BF01019772
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01019772