Abstract
A new cavity model is considered as a modification of spherically symmetric Born-Onsager model. For the analytical treatment the cavity surface is represented as the surface of two intersecting spheres. The general solution of electrostatic problem is obtained in toroidal coordinate system and after the application of Mehler-Fock integral transform it is reduced to a solution of the two coupled Fredholm equations of the second kind with a positive defined symmetric kernel. The solution of the external and of the internal Dirichlet problem takes very simple form for the rational values of angles which define the parameters of the both spheres. The total charge induced on each sphere is leisurely changing function of the position of a moving charge.
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Tulub, A.V. (2004). The Cavity Model with a Surface Formed by two Intersecting Spheres. An Analytical Treatment. In: Brändas, E.J., Kryachko, E.S. (eds) Fundamental World of Quantum Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0448-9_21
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DOI: https://doi.org/10.1007/978-94-017-0448-9_21
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