What is the distance, in atomic radii, along any edge of a body-centered cubic unit cell?
A) $\frac { 4 \times r } { \sqrt { 3 } }$
B) 2 × r
C) 4 × r
D) $\frac { 2 \times r } { \sqrt { 4 } }$
E) r

Question

Quizplus · Accepted Answer

In a body-centered cubic (BCC) unit cell, the body diagonal is equal to 4 times the atomic radius (4r), and the body diagonal is also equal to the square root of 3 times the edge length ($\sqrt{3} \times a$). Therefore, the edge length $a$ is $\frac{4r}{\sqrt{3}}$.

What Is the Distance, in Atomic Radii, Along Any Edge 4×r3\frac { 4 \times r } { \sqrt { 3 } }3​4×r​

What Is the Distance, in Atomic Radii, Along Any Edge $\frac { 4 \times r } { \sqrt { 3 } }$