Q.

A face-centered cubic arrangement has A and B atoms. A atoms are at the corners of the unit cell and B atoms are at the face centers. One of the A atoms is missing from one corner in the unit cell. The formula of the compound is

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a

A7B3

b

AB3

c

A7B24

d

A7/8B3

answer is C.

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Detailed Solution

Since one A atom is missing from one corner, the number of A  atoms per unit cell =18×7=78 atoms. Number of atoms B present at the face centers =6×12=3Therefore, A : B = 718:3. The formula is A7B24.
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