A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The lattice constant (a, the edg

Question

3 years ago

8

A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The lattice constant (a, the edg

e 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.

Chemistry

1 answer:

Furkat [3] · Answer 1 · 2022-04-29T08:45:37+03:00

Furkat [3]3 years ago

3 0

Answer:

radius = 156 pm

Explanation:

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

r=a $\sqrt{3}$ /4

Given

a = 360 pm

Therefore

r = r = radius = 360 $\sqrt{3}$ /4= 155.88 pm

Or

156 pm