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Question

Salt AB has zinc blende structure. The nearest distance between A2+&B2 ions is 2.5 A. The edge length of AB unit cell is

A
2.5A
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B
3.5A
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C
5.0A
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D
5.77A
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Solution

The correct option is D 5.77A

In ZnS structure, S2 ions (anions)occupy FCC lattice point &
Zn2+ ions (cations) occupy alternate tetrahedral voids
The distance b/w corner & Td void is corner & Td void is 14th of body diagonal =3a4= Nearest distance between cation & anion is 2.5A
edge length a=2.5×43A=5.77A


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