I am looking at a problem related to the Clausius-Mossotti equation. The Clausius-Mossotti equation is given by, chi = (4*pi*n*alpha)/ (1 - 4*pi*n*alpha/3) where, chi: susceptibility n: number of atoms per unit volume alpha: polarisability of the atom For a simple cubic (SC) structure, n=1, and we find that chi is infinite at alpha=3/(4*pi). In other words, the bulk Clausius-Mossotti limit (CML) of a SC structure is 3/(4*pi). However, it can be seen in the literature that the largest alpha of an infinite SC lattice is less than this bulk CML value [1]. I just wanted to ask if anyone has come across any paper that states the highest value of permittivity/susceptibility for an infinite SC lattice. Reference: [1] Allen, P. B. (2004). Dipole interactions and electrical polarity in nanosystems: the Clausius–Mossotti and related models. The Journal of chemical physics, 120(6), 2951-2962.
The continued miniaturization of silicon-based electronics along with the exfoliation of graphene from graphite has motivated extensive research toward layered two-dimensional (2D) materials. However, since graphene does not have a band-gap, it is not well suited for digital electronics applications
Hadi Jabbar Alagealy
Dear Sir,
The reference mentioned doesn't provide the permittivity/susceptibility cap for an infinite SC lattice. I was wondering if you have come across any such paper which mentions the value?
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