The European Physical Journal Plus

, 128:2

Infinite face-centered-cubic network of identical resistors: Application to lattice Green’s function


  • J. H. Asad
    • Department of PhysicsTabuk University
  • A. A. Diab
    • General Studies DepartmentYanbu Industrial College
  • R. S. Hijjawi
    • Department of PhysicsMutah University
  • J. M. Khalifeh
    • Department of PhysicsJordan University
Regular Article

DOI: 10.1140/epjp/i2013-13002-8

Cite this article as:
Asad, J.H., Diab, A.A., Hijjawi, R.S. et al. Eur. Phys. J. Plus (2013) 128: 2. doi:10.1140/epjp/i2013-13002-8


The equivalent resistance between the origin and any other lattice site, in an infinite face-centered-cubic network consisting of identical resistors, has been expressed rationally in terms of the known value \( f_o(3;0,0,0)\) and \( \pi\) . The asymptotic behavior is investigated, and some calculated values for the equivalent resistance are presented.

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© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2013