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The second order Bragg diffraction of X-rays with λ=1.00 Å from a set of parallel planes in a metal occurs at an angle 60°. The distance between the scattering planes in the crystal is

1. 0.575 Å
2. 1.00 Å
3. 2.00 Å
4. 1.15 Å

Correct answer: 1.15 Å

Solution

Using Bragg's equation, nλ = 2d sinθ, where n=2, λ=1.00 Å, and θ=60°. Substituting, 2(1.00) = 2d sin(60°). Solving gives d = 1.15 Å.

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