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A crystal is made of particles X,Y and ...

A crystal is made of particles X,Y and Z.X form fcc packing . Y occupies all the octahedral void of X and Z occupies all the tetrahedral voids of X . If all the particles along one body diagonal are removed then the formula of the crystal would be:

A

`XYZ_(2)`

B

`X_(2)YZ_(2)`

C

`X_(8)Y_(4)Z_(5)`

D

`X_(5)Y_(4)Z_(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
When all particle along one body diagonal are removed, then 2X particles from corner, one Y particle from octahedral void and 2 Z particle from tetrahedral voids are removed.
Hence new arrangement, X praticle `=(1)/(8)xx6+(1)/(2)xx6=(15)/(4)`, Y particle =3, Z particle =6
Hence formula `=X_(15//4)Y_(3)Z_(6)=X_(5//4)YZ_(2)=X_(5)Y_(4)Z_(8)`.
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