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Q.

The compound MO has zinc-blende closest unit cell. If the radius M2+ ion is 60 pm, the edge length of the unit cell of MX is

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a

650 pm

b

525 pm

c

754.3 pm

d

402.2 pm

answer is A.

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Detailed Solution

In zinc-blende closest unit cell, cations occupy tetrahedral voids for which rc/ra= 0.225. Hence, ra = r /0.225 = 60 pm/0.225 = 266.67 pm. Anions occupy face centered cubic positions. Hence, 4ra=2 a, or a=22 ra=22 =(2.667 pm) = 754.3 pm

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