Answer to Question #94467 in General Chemistry for India Washington

Question

Calculate the first-order (n=1) Bragg diffraction angle for 117.0 pm X-rays passing through a crystalline lattice having a spacing between adjacent molecular layers of 178.0 pm.

Answer 1

Bragg's Law refers to the simple equation:

$n\lambda=2d\sin(\theta)\\here,\\n=1\\\lambda=117\ pm\\d=space\ bw\ adjacent\ molecular\ layer=178\ pm\\\sin(\theta)=\frac{1\times117}{2\times178}=0.32865\\$

So,

$\theta=19.1868\degree$

first-order (n=1) Bragg diffraction angle = $19.1868\degree$