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Question: A mineral having the formula AB2, crystallises in the cubic close - packed lattice, with the A atoms...

A mineral having the formula AB2, crystallises in the cubic close - packed lattice, with the A atoms occupying the lattice points. The co-ordination number of the A atoms, that of B atoms and the fraction of the tetrahedral sites occupied by B atoms are

A

8, 4, 100%

B

2, 6, 75%

C

3, 1, 25%

D

6, 6, 50%

Answer

2, 6, 75%

Explanation

Solution

It is fluorite (CaF2) structure. Since formula is AB2

̃ No. of B atoms is twice the no. of A atoms. Hence B occupies all the tetrahedral voids (100%).

AB2 is (8 : 4) compound (Fluorite Structure Compound)

¯ ¯

C.N. of A C.N. of B.