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In a face centered 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 m each unit cell ·

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$X Y_{24}$

$X_{24} Y$

$X_{7} Y_{24}$

$X_{24} Y_{7}$

answer is A.

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Detailed Solution

The number of $X$ atoms in the unit cell equals $= \frac{7}{8}$

if one $X$ atom is missing.
Y atoms make up the unit cell $= 3$
The compound's formula is $= X_{7 / 8} Y_{3}$

$= X_{7} Y_{24}$

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