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Is a reciprocal lattice defined for non-Bravais lattices? I'm trying to work out one for HCP structure and not figuring it out.

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    $\begingroup$ You should show research effort in your question. $\endgroup$
    – Shing
    Sep 12, 2015 at 2:08

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The simple HCP lattice is just a hexagonal lattice with a base. Compare to FCC and BCC crystals, which can be derived from the simple cubic lattice by adding a base.

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  • $\begingroup$ I treated BCC as a SC with a basis, and worked out the cross products of SC vectors and basis vectors independently. It resulted in an FCC. Is this what you mean? $\endgroup$ Apr 5, 2014 at 19:58
  • $\begingroup$ Yep. You can do the same for the hexagonal lattice with a base. $\endgroup$
    – delete000
    Apr 5, 2014 at 20:37
  • $\begingroup$ It did not work. I did the following: a,b,c are primitives of the simple hexagonal, 0 and A = a/3+b/3+c/2 are basis vectors. Let B = A-b which is a basis vector for a neighboring cell. A cross B is not a basis in the reciprocal lattice. HELP ME,,, $\endgroup$ Apr 6, 2014 at 5:10
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    $\begingroup$ @kalkanistovinko you should add a detailed explanation of your previous comment as an edit to your question. $\endgroup$ Aug 10, 2015 at 19:53

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