Which of the following dimensions represents a monoclinic unit cell?

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$a = b = c; α = β = γ = 90^{\circ}$

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

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

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

answer is C.

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Detailed Solution

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

The unit cell of the monoclinic system, the clinorhombic prism, is an angled prism on a lozenge-shaped base. Only two of the three axes' lengths (alpha and beta) are exactly 90 degrees, while the third is specific to the mineral species.

Hence the correct option is C.

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