# How to find reciprocal lattice vectors

1. Jul 23, 2015

### girlinphysics

So I know that the basis vectors of an FCC in a symmetric form are:
$$a = \frac{a}{2}(\hat{x} + \hat{y})$$
$$b = \frac{a}{2}(\hat{y} + \hat{z})$$
$$c = \frac{a}{2}(\hat{x} + \hat{z})$$

And that the reciprocal lattice vectors are the basis vectors of the BCC cells.
I'm having a hard time doing the cross products correctly, so if anyone could walk me through an example of the math that would be very helpful.

Last edited: Jul 23, 2015
2. Jul 23, 2015

### girlinphysics

Oh yes it was! I've edited it now, thanks.

3. Jul 23, 2015