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a) Derive the expressions for the primitive vectors g1, g2, g3 in reciprocal space in terms of lattice constant, a , and the unit vectors

a) Derive the expressions for the primitive vectors g1, g2, g3 in reciprocal space in terms of lattice constant, a , and the unit vectors i, j & k for the real space simple cubic (SC). What type of unit cell ( i.e FCC, SC, HCP, etc) is the First Brillion Zone? b) Determine the volume of the First Brillion Zone.

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