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A solid is formed and it has three types...

A solid is formed and it has three types of atoms X, Y and Z, X forms a fcc lattice with Y atoms occupying all tetrahedral voids and Z atoms occupying half of octahedral voids. The formula of solid is :-

A

`X_(4)YZ_(2)`

B

`X_(4)Y_(2)Z`

C

`XY_(2)Z_(4)`

D

`X_(2)Y_(4)Z`

Text Solution

Verified by Experts

The correct Answer is:
D

X is in f.c.c. lattice
`X = 8 xx (1)/(8) + 6 xx (1)/(2) = 4 `
T.H.O = `4 xx 2 = 8`
y = 8
O.H.V. = 4
`Z = (1)/(2) xx 4 = 2 `
`X_(4)Y_(8)Z_(2) = X_(2)Y_(4)Z`
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