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Question: Answered & Verified by Expert
A compound is formed by elements and. This crystallises in the cubic structure where the atoms are at the corners of the cube and atoms are at the body centres. The simplest formula of the compound is
ChemistrySolid StateKCETKCET 2008
Options:
  • A $\mathrm{A} \mathrm{~B}$
  • B $\mathrm{A}_{6} \mathrm{~B}$
  • C $\mathrm{A}_{8} \mathrm{~B}_{4}$
  • D $\mathrm{AB}_{6}$
Solution:
1745 Upvotes Verified Answer
The correct answer is: $\mathrm{A} \mathrm{~B}$
Since atoms are present at the corners of the cube,
Number of atoms per unit cell $=8 \times \frac{1}{8}=1$
Number of $\quad$ atoms per unit cell $=1$
( $\because$ present at the body centre of the cube)
Hence, the formula of the compound $=A B$

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