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Question: A solid compound contains X, Y and Z atoms in a cubic lattice with X atoms occupying the corners, Y ...

A solid compound contains X, Y and Z atoms in a cubic lattice with X atoms occupying the corners, Y atoms in the body centred positions and Z atoms at the centre of the faces of the unit cell. What is the empirical formula of the compound ?

A

XY2Z3

B

XYZ3

C

X2Y2Z3

D

X8YZ6

Answer

XYZ3

Explanation

Solution

X = 88\frac{8}{8} = 1

Y = 1

Z = 62\frac{6}{2} = 3

XYZ3