Infinite Body Centered Cubic Network of Identical Resistors

Abstract

We express the equivalent resistance between the origin (0, 0, 0) and any other lattice site (n1, n2, n3) in an innite body centered cubic network consisting of identical resistors each of resistance R rationally in terms of known values b0 and . The equivalent resistance is then calculated. For large separations two asymptotic formulae for the resistance are presented and some numerical results with analysis are given.