We express the equivalent resistance between the origin (0,0,0) and any other lattice site (n_1,n_2,n_3) in an infinite body centered cubic network consisting of identical resistors each of resistance R rationally in terms of known values b_{0} and π. 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.
An expression for the Green function of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states, phase shift and scattering cross-section are expressed in terms of complete elliptic integrals of the first kind.
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