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Question: Answered & Verified by Expert
A cubic structure is formed where atoms of element $X$ are occupied at corner of cube and also at face centers. Atoms of element $Y$ are present at body center and at the edge centers. If all the atoms are removed along a plane passing through the middle of the cube (bisecting the four edges), the formula will become
ChemistrySolid StateTS EAMCETTS EAMCET 2020 (14 Sep Shift 1)
Options:
  • A $X Y_2$
  • B $X_4 Y_3$
  • C $X Y$
  • D $X_2 Y_3$
Solution:
2634 Upvotes Verified Answer
The correct answer is: $X Y$


- $=X$, at corners (cor) and face centre (fc)
$\mathbf{-}=Y$, at edge centre $(\mathrm{ec})$ and body centre $(\mathrm{bc})$
After removal, number of atoms ratio in the crystal,

So, formula of the crystal will be $X Y$.

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