(c) Prove that the volume of a Bravais lattice primitive cell is v = |a1 ...

 

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(c) Prove that the volume of a Bravais lattice primitive cell is v = |a1 · (a2 x a3)| where the a are three primitive vectors. (In conjunction with (5.15) this establishes that the volume of the reciprocal lattice primitive cell is (27)/v.) (c) Prove that the volume of a Bravais lattice primitive cell is v = |a1 · (a2 x a3)| where the a are three primitive vectors. (In conjunction with (5.15) this establishes that the volume of the reciprocal lattice primitive cell is (27)/v.)