Volume of Brillouin zone show that the volume of the first Brillouin zone is (2) 3 /V

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Volume of Brillouin zone show that the volume of the first Brillouin zone is (2π)3/Vc, where Vc is the volume of a crystal primitive cell. Recall the vector identity (e x a) x (a x b) = (e ∙ a x b)a.

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