Answer to Question #94357 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

2d *sin(theta)=lambda, where

d - a spacing between adjacent molecular layers.

Lambda - the wavelength of X-ray radiation

Theta - the Bragg diffraction angle

sin(theta)=lambda/2d = 117.0/178.0=0.6573

Theta = arcsin(0.6573)=41.09 deg