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Bottom pictures are 7.7 for context
7.4 Repeat the calculation of Section 7.7 for the empty lattice but for the foc case and the [111] direction.

7.7 The Empty Lattice and Simple Metals We again use our imaginary powers to control the strength of the potential. We assume
where the g are unit vectors parallel to the x, y and : axes (see Fig. 7.15a). We calculate the energy values E in the reduce
(c) G-110); this vector has multiplicity 12 and provides the following energy bands: iz =(x - 1)2 + 1, (110X110) (101x101); (
0 0
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Answer #1

or, E= t ( + P+Q-18 + G+Patr 3 + (x-e+qr P9VEZpage 2For an Fcc lattice, with lattice constant a, reciprocal lathice vectors can be written as K= 27 ( (K+1-4) x + Ath-k)y + (tk-1page 1

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