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A unit cell consists of a cube in which ...

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two corners of the unit cell. What is the formula of the compound ?

Text Solution

Verified by Experts

The correct Answer is:
`AB_(4)`
Contribution by atoms A present on six corners of the unit cell = 6/8 = 3/4
Contribution made by atoms B on the centre of all the six faces = 3
The atoms of A and B are in the ratio 3/4 : 3 = 1 : 4
Formula of the compound = `AB_(4)`.
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