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X-rays of wavelength 1.0 Å produce second-order Bragg reflection from a family of parallel crystal planes at an angle of 60°. What is the spacing between these planes in the metal crystal?

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

Correct answer: 1.15 Å

Solution

2 x 1.0 = 2 d sin60, so d = 1.0/0.866 = 1.15 angstrom. The stored 1.00 angstrom ignores the second order / angle.

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