Density of States Curve for the 3d Electrons in Nickel

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Abstract
A calculation is made of the energy density of electronic states for the 3d electrons in metallic nickel, using the approximation of tight binding. The early stages of the calculations and preliminary results have been previously summarized by Fletcher and Wohlfarth in 1951 The theoretical basis of the approximation is outlined and the validity of the underlying assumptions examined. The required overlap integrals are evaluated and the secular equation for the energy as a function of wave vector is solved exactly over the energy range of interest for nickel. The density of states curve is computed graphically Among results of physical interest obtained are: bandwidth 2.70 eV, degeneracy temperature 1.45×103 deg K, low temperature electronic heat coefficient γ 1.69×10-3 cal.mol-1 deg-2 (compared with the experimental value of 1.74×10-3). The results are compared with those obtained by the cellular method of approximation used by Krutter in 1935, and Slater in 1936.

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