Electron theory of metals and liquid state theory

Abstract

It is stressed that electron theory and liquid state theory meet at the following points:

	(1)Electron theory provides basic justification for an approximation in liquid metals based on pair potentials. Conventional descriptions in terms of liquid state theory should then be applicable.
	(2)Electron theory gives us an indication of the general shape of the pair force law. Analysis of structure data using conventional liquid theories confirms the gross features.
	(3)Use of dielectric screening theory, in conjunction with liquid state theories relating the Ornstein-Zernike correlation function with the long-range part of the force leads to theoretical predictions different from the old Ornstein-Zernike theory.
	(4)Ion-ion interactions via the conduction electrons are long range according to theory. The method of Percus and Yevick, known to be rather good for short-range forces, does not seem appropriate to liquid metals. Both theoretical reasons and pragmatic justification can be given to support the Born-Green theory as a useful starting point for long-range forces.
	(5)There is found to be a correlation between melting points, valence and Fermi energy. Some basis for this is afforded by dielectric screening theory.