- #1
delrepublica
- 6
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Homework Statement
Here's a problem I'm having:
The primitive vectors of the hexagonal lattice are:
a1 = ck
a2 = (a/2)i + ([a√3]/2)j
a3 = (-a/2)i + ([a√3]/2)j
Find the primitive vectors of the reciprocal lattice, i.e. b1, b2, and b3.
Homework Equations
I do know that the equation for b1 would be
b1 = [(2*pi) (a2 X a3)] / [a1 * (a2 X a3) ]
The Attempt at a Solution
I really have no idea how to do dot-products and cross-products in this case. Could someone please help me go through just the first step, which is to find b1, and then I could take it from there?
Thank you very much in advance!