Solutions of the Temperature-Perturbed Thomas-Fermi Equation

Abstract

Previous numerical results are extended by using an analytical solution of the temperature-perturbed Thomas-Fermi equation to obtain boundary and initial parameters corresponding to seven neutral-atom zero-temperature solutions given by Slater and Krutter. Fitted functions given previously for the solution parameters in terms of the unperturbed atom radius are revised to include the new data, to obtain a considerable extension in directly-fitted range. Effects of the temperature perturbation on the equation of state, the internal energy, and parameters related to the equation of state are shown graphically for the extended range.