Question

A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The lattice constant (a, the edge of the unite cell) has been measured by X-ray crystallography to be 360. pm. Calculate the radius of an atom of M. Be sure your answer has 3 significant digits, and be sure it has the correct unit symbol.

Answer 1

radius = 156 pm

Step-by-step explanation:

The relation between radius and edge length of unit cell of BCC is

r=a
`√(3)`/4

Given

a = 360 pm

Therefore

r = r = radius = 360
`√(3)`/4= 155.88 pm

Or

156 pm