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Question

A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face-centres. The formula of the compound is:

A
X3Y
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B
XY
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C
XY2
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D
XY3
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Solution

The correct option is D XY3
As only 1 atom can accommodate on 1 corner of a cube,
No. of X - atoms per unit cell = 8/8 = 1
As 2 atoms can accommodate on 1 face of a cube,
No. of Y - atoms per unit cell = 6/2 = 3
Hence Compound is XY3

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