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

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

1 Answer 1


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.

  • $\begingroup$ 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
  • 1
    $\begingroup$ @kalkanistovinko you should add a detailed explanation of your previous comment as an edit to your question. $\endgroup$ Aug 10, 2015 at 19:53

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.