Q. How many number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube
A) 8
B) 6
C) 4
D) 9
Explanation
(d)
There are four body diagonals. Atoms on the body diagonals are not shared by any other unit cell.
Contribution by atoms on corners
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 8 \times \frac{1}{8} = 1\ and$
Contribution by atoms on body diagonal
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 2 \times 4 = 8$
Hence, total number of atoms = 9
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.