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In a face centered lattice of X and Y, X...

In a face centered lattice of X and Y, X atoms are present at the corners while Y atoms are at face centres.
(a) What is the formula of the compound ?
(b) What would be the formula of the compound if (i) one of the X atoms is missing from a corner in each unit cell
(ii) one of the X atoms at from a corner is replaced by Z atom. (also monovalent) ?

A

`X_(7)Y_(24)`

B

`X_(24)Y_(7)`

C

`XY_(24)`

D

`X_(24)Y`

Text Solution

Verified by Experts

The correct Answer is:
A
No. of X atom per unit cell `= 7 xx (1)/(8) = (7)/(8)`
No. of Y atom per unit cell `= 6 xx (1)/(2) = 3`
`:.` Formula `= X_(7//8) Y_(3) " or " X_(7) Y_(24)`
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