# Xray Diffraction

1. Oct 18, 2014

### decerto

1. The problem statement, all variables and given/known data

A crystal composed of two fractions, one having the a cell parameters of x and the other of y are subjected to X-ray diffraction using both a Ni k-beta and a Zr b-beta radiation. Derive the angular position (2theta) for (abc) and (def) planes

2. Relevant equations
$n\lambda=d\sin\theta$
$d_{hkl}=\frac{x}{\sqrt{h^2+k^2+y2}}$

3. The attempt at a solution

First of all I am not sure what composed of two fractions means.

With the relevant equations it is pretty easy to solve this for a crystal composed of one "fraction" with one incident wavelength of xray. With two fractions and two incident wavelengths I am not sure if I should average over the the two spacings and the two wavelengths(The wording of the question implies there is one angular position for each plane) or if I do it for the 4 specific cases.

2. Oct 23, 2014