X-ray Diffraction Homework: 2theta for (abc) and (def) Planes

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SUMMARY

The discussion focuses on calculating the angular position (2theta) for (abc) and (def) planes in a crystal composed of two fractions with distinct cell parameters, subjected to X-ray diffraction using Ni k-beta and Zr b-beta radiation. The relevant equations include nλ = d sin θ and d_{hkl} = x / √(h² + k² + y²). The main challenge highlighted is whether to average the two spacings and wavelengths or to consider four specific cases for the two fractions and wavelengths. Clarity on the interpretation of "two fractions" is essential for accurate calculations.

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Homework Statement


[/B]
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

Homework Equations


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

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.
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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