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Select the incorrect statement...

Select the incorrect statement

A

For CsCl unit cell (edge length=a) `r_(c)+r_(a)=(sqrt(3))/2a`

B

For Nacl unit cell (edge -length=l), `r_(c)=r_(a)+l/2`

C

The void space in a bcc unit cell is 0.68

D

The void space % in a face centered unit cell is 26

Text Solution

Verified by Experts

In bcc structure `r_(+)+r_(-)=(sqrt(3))/2a`
Hence for `CsCl, r_(c)+r_(a)=(sqrt(3))/2a`
`:.` a is correct
Since NaCl crystalise in fcc structure
`:.2r_(c)+2r_(a)=` edge length of the unit cell
Hence `r_(c)+r_(a)=1/2`
`:.` b is correct
Since packing fraction of a bcc unit cell is 0.68
`:.` void space `=1-0.68=0.32`
`:.` c is incorrect
In fcc unit cel packing fraction `=74%`
`:.` void space `=100-78=26%`
`:.` d is correct
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