A metal that has a radius of 137 pm crystallizes in a body-centered cubic structure. What is the length of the edge of the unit cell in pm?

Question

Quizplus · Accepted Answer

The length of the edge of the unit cell in a body-centered cubic structure is given by:$$a = \frac{4r}{\sqrt{3}}$$where r is the radius of the metal atom.Substituting the given value of r = 137 pm, we get:$$a = \frac{4(137 	ext{ pm})}{\sqrt{3}} = 316 	ext{ pm}$$Therefore, the length of the edge of the unit cell is 316 pm.

A Metal That Has a Radius of 137 Pm Crystallizes