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Question: Answered & Verified by Expert
A two-dimensional solid pattern formed by two different atoms $X$ and $Y$ is shown below. The black and white squares represent atoms $\mathrm{X}$ and $\mathrm{Y}$, respectively. The simplest formula for the compound based on the unit cell from the pattern is
ChemistrySolid StateKVPYKVPY 2017 (5 Nov SB/SX)
Options:
  • A $\mathrm{XY}_{8}$
  • B $X_{4} Y_{9}$
  • C $\mathrm{XY}_{2}$
  • D $\mathrm{XY}_{4}$
Solution:
1214 Upvotes Verified Answer
The correct answer is: $\mathrm{XY}_{8}$
The unit cell of the above pattern will consist of 8 white square and 1 black square i.e. it will form centre unit cell.
$\therefore$ No. of white square $\mathrm{Y}=8$
No. of black square $X=1$
$\therefore$ Formula $\mathbf{X Y}_{\mathbf{8}}$

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