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For a cubic crystal structure which one of the following relations indicating the cell characteristics is correct?

1. a ≠ b ≠ c and α = β = γ = 90°
2. a = b ≠ c and α ≠ β ≠ γ = 90°
3. a = b = c and α = β = γ = 90°
4. a ≠ b ≠ c and α ≠ β and γ ≠ 90°

Correct answer: a = b = c and α = β = γ = 90°

Solution

In a cubic crystal structure, all sides (a, b, c) are equal, and all angles (α, β, γ) are 90°. This is a defining characteristic of cubic symmetry.

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