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Q.

Carbon has zinc-blende type unit cell. If the atomic radius of C is 77 pm, the edge length of face-centered unit cell is

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a

355.7 pm

b

308.0 pm

c

231.0 pm

d

375.6 pm

answer is A.

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Detailed Solution

The distance between corner and tetrahedral void is 3a/4.

Hence 2rC=3a/14 This gives a=8rC/3=8(77pm)/1.732=355.7pm

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Carbon has zinc-blende type unit cell. If the atomic radius of C is 77 pm, the edge length of face-centered unit cell is