Question

The volume of the bcc unit cell when the atomic radius is 0.662 nm

Answer 1

We can conclude that the volume of the bcc unit cell when the atomic radius is 0.662 nm is 1.52 nm.

Answer 2

Explanation:

It is known that relation between atomic radius and volume for a bcc unit cell is as follows.

a = \frac{4R}{\sqrt{3}}

3

4R

where, a = volume

R = radius

It is given that atomic radius is 0.662 nm or 0.662 \times 10^{-9}0.662×10

−9

m. Putting the given values into the above formula as follows.

a = \frac{4R}{\sqrt{3}}

3

4R

= \frac{4 \times (0.662 \times 10^{-9}}{\sqrt{3}}

3

4×(0.662×10

−9

= 1.52 \times 10^{-9}1.52×10

−9

m

or, = 1.52 nm