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Question:

In a face centered cubic lattice, atom A occupies the corner positions and atom B occupies the face center positions. If one atom of B is missing from one of the face-centered points, the formula of the compound is:

A2B

A2B3

A2B5

AB2

Solution:

Number of atoms in the corners(A)=8×1/8=1
Number of atoms at face centers(B)=6×1/2=3
If one atom of B is missing from one of the face centers, then the number of B atoms becomes 3-1=2
Therefore, the formula of the compound is A2B