NEW KIND OF PARAMETERIZATION APPLIED TO THE FERMI SURFACE OF A CRYSTALLINE SOLID. PART II: DENSITY OF STATES AND LENGTHS OF ARCS CALCULATED AS A CHECK OF THE THEORY

Abstract

In order to check the validity of parameterization of electron states on the Fermi surface developed in the preceding paper, this parameterization is applied to the calculation of some definite crystal properties. The first property is the density of electron states versus energy in simple cubic and body-centered cubic crystal lattices, examined formerly on the basis of the Bloch parameterization of electron states by Jelitto; the other property is the length of some special arcs extended on the surfaces. The parameterizations of both approaches, that of the present paper and that developed on the basis of the Bloch states, are found to give results remaining in remarkable agreement.