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A compound made up of two atoms X and Y ...

A compound made up of two atoms X and Y has a face centred cubic arrangement. X is present in the corners and Y at the centre of each face. If one atom is missing from corner. What is the simplest formula of the compound.

Text Solution

Verified by Experts

No. of atoms of X at the corners `= 8-1 = 7` ( since 1 is missing )
Contribution of X towards unit cell
`= 7 xx ( 1)/(8) = ( 7)/( 8)`
No. of atoms of Y at the face centres = 6
Contribution of Y towards unit cell
` =6 xx (1)/( 2) = 3 `
Ratio of `X : Y = (7)/ (8) : 3 = 7 : 24`
Formula of the compound is `X_(7) Y _(24)`
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