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If there elements X, Y & Z crystallize i...

If there elements X, Y & Z crystallize in cubic solid latice with X atoms at corners, Y atoms at cube centre & Z-atoms at the edges, then the formula of the compound is

A

XYZ

B

`XY_(3)Z`

C

`XYZ_(3)`

D

`X_(3) YZ`

Text Solution

Verified by Experts

The correct Answer is:
C
Atom X is shared by 8 corners
1 atom of Z is shared by 4 unit cells
Atom Y is present at centre of the unit cell
Hence, effective number of atoms of X per unit cell
`=8xx1/8=1`
Effective number of atoms of Z per unit cell
`=12/4=3`
Effective number of atoms of Y per unit cell -1
Hence, the formula of the compound is `XYZ_(3)`
Therefore (c) is correct
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