Question

Find the radius of a BCC molecule having an edge length of \( 2.0 \times 10^{-11} \) m.

• A. \( 1.0 \times 10^{-11} \) m
• B. \( 1.5 \times 10^{-11} \) m
• C. \( 2.0 \times 10^{-11} \) m
• D. \( 3.0 \times 10^{-11} \) m

Hint:

In a BCC unit cell, the body diagonal connects two corner atoms and the center atom. The relationship between the edge length and the radius of the atoms is given by \( r = \frac{\sqrt{3}}{4} \, a \).