Question

What is the edge length of a BCC unit cell?

Hint:

In a BCC unit cell, edge length is derived based on the body diagonal containing 2 atomic radii.

Answer 1

For a Body-Centered Cubic (BCC) unit cell, the edge length (\( a \)) and atomic radius (\( r \)) are related by the equation: \[a = \frac{4r}{\sqrt{3}}\] This relationship is a consequence of the BCC unit cell's geometric structure.
Summary: The edge length is \( \frac{4r}{\sqrt{3}} \).