Q. A compound is formed by elements $A$ and $B$. This crystallises in the cubic structure where the A atoms are at the corners of the cube and B atoms are at the body centres. The simplest formula of the compound is
A) $AB$
B) $A_{6}B$
C) $A_{8}B_{4}$
D) $AB_{6}$
Explanation
(a)
Since A atoms are present at the corners of the cube,
Number of A atoms per unit cell $= 8 \times \frac{1}{8} = 1$
Number of B atoms per unit cell = 1
$\ (\because Present\ at\ the\ body\ centre\ of\ the\ cube)$
Hence, the formula of the compound $= AB$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.