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Crystal Lattice and Unit Cell

The radii of ...

Question

The radii of $N a^{+}$ and $C l^{-}$ ions are $95 p m$ and $181 p m$ respectively. The edge length of $N a C l$ unit cell is:

A

276 pm

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B

138 PM

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C

552 pm

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D

415 pm

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Solution

The correct option is C 552 pm
For $N a C l$ type crystal structure,

$a = {2 r}_{{N a}^{+}} + {2 r}_{{C l}^{-}} a = 2 \times 95 + 2 \times 181 a = 552 p m$ .

Hence, correct answer is option C.

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