Figure 2.

Two geometries other than the perfect sphere used here to derive alternative forms of the analytical reaction field Green function F(r_i,r_j) in the GB formalism. (a) Parallel plates. The source charge is at (0, z₀), and the potential ϕ is determined at (x, z). (b) Concentric spheres. The source charge is at (0, z₀) and the potential is determined at (θ, z). The enclosed space is assumed to be the low dielectric medium (solute, ε_in = 1), while the outside space (solvent) is treated in the conductor limit ε_out → ∞. Geometric parameters are shown in the figures. Due to cylindrical and spherical symmetries, respectively, the potential is independent of the third coordinate.