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Question

In the ZnS (Zinc Blende) structure, what would be the distance for the nearest cation (Zn2+) from an anion (S2−) ?
Here a is the edge cell length.

A
3a4
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B
a4
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C
a
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D
2a
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Solution

The correct option is A 3a4
ZnS (Zinc Blende) structure :
S2 ions form the FCC lattice,while Zn2+ ions occupy alternate (nonadjacent) tetrahedral voids.


For an anion S2,
Distance of the nearest cation Zn2+ will be 3a4.
This is the distance from the corner atom S2 to the atom at tetrahedral void Zn2+

Option (a) is correct.
Number of nearest cations are 4
Theory :

Number of S2 ions in Zinc blended structure = 4
Number of Zn2+ ions in Zinc blended structure = 4
Total ZnS units in one unit cell = 4

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