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For my condensed matter physics course, please add explanation to solution if you know how to solve! Thank you in advance 02 (10 points) Inversion

For my condensed matter physics course, please add explanation to solution if you know how to solve! Thank you in advance

02 (10 points) Inversion symmetry (a) Prove that any Bravais lattice has inversion symmetry in a lattice point. (b) Prove that the diamond structure, but not Zinc sulfide, is invariant under inversion in the midpoint of any nearest-neighbour bond

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