Solid StateHard
Question
In a face centerd lattice of X and Y, X atoms are present at the corners while Y atoms are at face centers. Then the formula of the compound would be if one of the X atoms is missing from a corner in each unit cell
Options
A.X7Y24
B.X24Y7
C.XY24
D.X24Y
Solution
No. of X atom per unit cell = 7 × 
No. of Y atom per unit cell = 6 ×
= 3
No. of X atom per unit cell = 7 ×
No. of Y atom per unit cell = 6 ×= 3
∴ Formula = X7/8 Y3 or X7 Y24.
No. of Y atom per unit cell = 6 ×
= 3No. of X atom per unit cell = 7 ×
No. of Y atom per unit cell = 6 ×
= 3∴ Formula = X7/8 Y3 or X7 Y24.
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