A cubic crystal with lattice spacing 0.4 nm is mounted with [001] axis perpendic

Question

A cubic crystal with lattice spacing 0.4 nm is mounted with [001] axis perpendicular to an incident X-ray beam of wavelength 0.1 nm. Initially the crystal is set so as to produce a diffracted beam associated with the (h1k1l1) planes. Calculate the angle through which the crystal must be turned in order to produce a beam from the (h2k2l2) planes where:

(h1k1l1)=(020), (h2k2l2)=(030)
(h1k1l1)=(020), (h2k2l2)=(130).
Which of these diffracted beams would be forbidden if the crystal is: i) simple cubic; ii) bcc; iii) fcc?

Explanation / Answer

bcc

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