Atomic Distribution in Binary Solid Solutions IV. The Influence of the Short-Range Order on the Electrical Resistivity of Alloys

Abstract

The temperature dependence of the additional resistivity of binary alloys due to the presence of the short-range order is calculated by means of the pair distribution functions of atoms over crystal lattices, whose analytical expressions are given in the previous parts of this series. The present method used in deriving the expression for the resistivity in alloys is almost similar to the one which has already been developed by Nordheim, who has, however, ignored contribution of the short-range order to the resistance of alloys, and therefore obtained the additional resistivity independent of the temperature. The actual calculation is performed only for simple cubic alloys to avoid computational difficulties. According to the result of calculation, the decrease in the resistivity due to the short-range order becomes appreciable at temperatures immediately above the order-disorder transition point, and, indeed, this contribution decreases the additional resistivity by about 20% compared with the one obtain...