Rapidly Convergent Series for the Computation of the Interaction Energy between Dissimilar Plane Parallel Double Layers

Several rapidly convergent series for the computation of the interaction energy between dissimilar plane double layers (y₀ > y_d > 0) are derived by expanding the interaction energy in the power series of ω ₀ < tanh(y₀/64), the series terms required to obtain the interaction energy with six significant digits do not exceed 1 except C = 2 when the dimensionless surface potential y₀ ≤ 20. The results of Devereux and de Bruyn are discovered to be incorrect when y₀ and y_d are larger, and ξ _d is very large or close to ?2.00000.