Which of the following dimensions represents a hexagonal unit cell?

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$a = b \neq c; α = β = 90^{\circ}, γ = 120^{\circ}$

$a = b \neq c; α = β = γ = 90^{\circ}$

$a = b = c; α = β = γ \neq 90^{\circ}$

$a = b = c; α = β = γ = 90^{\circ}$

answer is D.

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Detailed Solution

The dimensions represents a hexagonal unit cell is $a = b \neq c; α = β = 90^{\circ}, γ = 120^{\circ}$ .

The existence of a single line, known as an axis of 6-fold symmetry, around which the cell may be rotated by either 60° or 120° without affecting its appearance, distinguishes the hexagonal unit cell from other shapes. crystal structures.

Hence the correct option is D.

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