Question

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

Answer 1

The  volume of the bcc unit cell when the atomic radius is 0.662 nm is 1.52 nm.

Explanation:

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

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

where,    a = volume

              R = radius

It is given that atomic radius is 0.662 nm or $0.662 \times 10^{-9}$ m. Putting the given values into the above formula as follows.

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

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

                         = $1.52 \times 10^{-9}$ m

or,                     = 1.52 nm

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

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