Eur. Phys. J. Appl. Phys. (2014) 68: 10102
https://doi.org/10.1051/epjap/2014140229

The two-point capacitance of infinite triangular and honeycomb networks

¹ Department of Physics, AL-Hussein Bin Talal University, P.O. Box 20, Ma’an 71111, Jordan
² Department of Physics, Mutah University, Karak 61710, Jordan
³ Department of Physics, College of Arts and Science, Palestine Technical University, P.O. Box 7, Tulkarm 30, Palestine
⁴ Department of Physics, Jordan University, Amman 11942, Jordan

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

Received: 28 May 2014
Revised: 25 August 2014
Accepted: 2 September 2014
Published online: 10 October 2014

Abstract

The capacitance between arbitrary two sites (vertices) in infinite triangular and honeycomb networks is studied by using Green’s function. Recurrence formulas for capacitance between arbitrary sites of the triangular lattice are obtained. The capacitance for the honeycomb lattice is shown to be expressed in terms of the one for the triangular lattice.