Eur. Phys. J. Plus (2016) 131: 309
https://doi.org/10.1140/epjp/i2016-16309-x

Regular Article

Resistance calculation of three-dimensional triangular and hexagonal prism lattices

¹ Department of Physics, Al-Hussein Bin Talal University, P.O.Box 20, 71111, Ma’an, Jordan
² Department of Physics, Faculty of Arts and Sciences, Palestine Technical University, P.O.Box 7, Kadoorie, Tulkarm, Palestine

^* e-mail: owaidat@ahu.edu.jo

Received: 18 May 2016
Revised: 27 July 2016
Accepted: 1 August 2016
Published online: 9 September 2016

Abstract

The resistance between two arbitrary lattice sites in infinite three-dimensional triangular and hexagonal prism lattice networks of equal resistances, that have not been studied before, is computed by using lattice Green’s function technique. For large separation between lattice points we numerically calculate the asymptotic value of the resistance for these lattices.