University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 36 - Diffraction - Problems - Exercises - Page 1213: 36.35

Answer

0.232 nm.

Work Step by Step

The maxima occur at angles $\theta$ given by $2d sin \theta=m \lambda$, where d is the spacing between adjacent atomic planes. “Second order” means that m = 2. $$d=\frac{ m \lambda }{2 sin \theta }=\frac{ 2(0.0850\times10^{-9}m)}{2 sin 21.5^{\circ}}=2.32\times10^{-10}m$$
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