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For a simple cubic crystal, what is the ratio of the interplanar spacings of the (100), (110), and (111) planes?

1. 1: 1/√2: 1/√3
2. 1/√3: 1/√2: 1
3. √3: √2: 1
4. 1: √2: √3

Correct answer: 1: 1/√2: 1/√3

Solution

d(100):d(110):d(111) = a : a/sqrt2 : a/sqrt3 = 1 : 1/sqrt2 : 1/sqrt3 (option 0). The stored order is reversed.

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