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Question

A substance AxBy crystallizes in a face centred cubic (FCC) lattice in which atoms A occupy each corner of the cube and atoms B occupy the centre of each face of the cube.


The correct composition of the substance AxBy is:

A
AB3
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B
A4B3
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C
A3B
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D
None of the above
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Solution

The correct option is D AB3
AxBy crystallizes in a face-centered cubic (FCC) lattice.
A atoms occupy each corner of the cube. So, the number of atoms of A is 8×18=1.

B atoms occupy the center of each face of the cube. So, the number of atoms of B is 6×12=3.

Hence, the formula becomes AB3.

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