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Solid state assignment
1. Bulk modulus:
The thermodynamic expression for bulk modulus leads to the formula k = vd/dv(du/dv) where where u, v are the internal energy and volume per lattice point.
Show that this gives
K = √2/9r0 ∂2u/∂r2|r =a
for fcc, and evaluate the corresponding geometric factor for sc and bcc lattices (where ro, is the nearest neighbour disiance, i.e the potential minimum at nn separation r ≡ r0. { Note: in the general notation using primitive vectore etc. the lattice constants' a, b,...... are not necessarity the nearrest neighbour separation.
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