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Crystal Lattice and Unit Cell

If the radius...

Question

If the radius of ${C l}^{-}$ ion is $181 p m$ , and the radius of ${N a}^{+}$ ion is $101 p m$ then the edge length of unit cell is:

A

282 p m

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B

285.71 p m

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C

512 p m

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D

564 p m

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Solution

The correct option is B $564 p m$
Edge length of unit cell,
$= 2 \times (radius of C l^{-} + radius of N a^{+}) = 2 \times (181 + 101) = 2 \times 282 = 564 p m$

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