- #1

delrepublica

- 6

- 0

## 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!