Invariant expansion III: The general solution of the mean spherical model for neutral spheres with electostatic interactions
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- L. Blum
- Physics Department, University of Puerto Rico, Rio Piedras, Puerto Rico 00931
抄録
<jats:p>The partial solution for the mean spherical model of neutral spheres with electrostatic interactions obtained in a previous communication [L. Blum, J. Chem. Phys. 57, 1862 (1972).] is extended to the general case, in which the electrostatic interactions of odd parity, like the dipole-quadrupole interaction, are included. The solution is given in terms of a linear transform of the direct correlation function, which is shown to be a polynomial in r inside the hard core diameter. The coefficients of this polynomial are determined from a sufficient number of boundary conditions. The method of solution employs the so-called second Baxter form of the Ornstein-Zernike equation [Australian J. Phys. 21, 563 (1968).] which is derived for this particular case. Also, alternative forms of the Ornstein-Zernike equation in coordinate space are obtained. The case of molecules with linear dipole and quadrupole moments is summarily illustrated.</jats:p>
収録刊行物
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- The Journal of Chemical Physics
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The Journal of Chemical Physics 58 (8), 3295-3303, 1973-04-15
AIP Publishing