In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−10 m, a first-order maximum occurred at 5.00°. Find the crystal plane spacing.
A)2.87 × 10−10 m
B)1.36 × 10−10 m
C)6.24 × 10−9 m
D)1.93 × 10−9 m
E)5.74 × 10−9 m

Question

Quizplus · Accepted Answer

Using Bragg's Law, nλ = 2d sin θ, for the first-order maximum (n=1), we solve for d: d = λ / (2 sin θ) = (0.500 × 10−10 m) / (2 sin 5.00°) = 2.87 × 10−10 m.

In an X-Ray Diffraction Experiment Using X-Rays of λ =