Adsorption integral equation via complex approximation with
constraints: Kernel of general form
Abstract
For the monolayer adsorption on a homogeneous surface,
including arbitrary range lateral interactions, the isotherm
can be written as a power series of the Langmuir isotherm. If
this isotherm is used as the kernel in the adsorption integral
equations, this integral equation can be solved in an
analytical form. Since the global isotherm is usually known as
a set of experimental values, the use of a numerical method is
inevitable. A new numerical method for solving the adsorption
integral equation with a kernel of general form is developed.
It is based on recent results concerning the structure of the
local isotherm and on the ideas of complex approximation with
constraints and allows to reduce the problem under
consideration to a linear-quadratic programming problem.
Results of numerical experiments are presented. The method can
be useful for the evaluation of the adsorption energy
distribution from experimental data.