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Question

A mineral having formula AB2 crystallises in the cubic close-packed lattice, with the A atoms occupying the lattice points. Hence coordination number of A and B atoms are:

A
4,8
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B
4,4
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C
8,8
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D
8,4
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Solution

The correct option is A 4,8
There are two types of closed -packed lattices-

Hexagonal closed packed lattice and Cubic close-packed lattice.
Only FCC lattice forms the cubic closed packed lattice.

So, A forms the FCC lattice Zeff=4

B occupies the tetrahedral voids Zeff=8

Therefore, one atom of A is surrounded by 8 atoms of B and B will be surrounded by 4 atoms of A.

Coordination number of A=8

Coordination number of B=4

Therefore, the formula of the compound will be A4B8 Or AB2

Hence, the correct option is A.

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