Question

Packing efficiency in body-centered cubic structure is ____________.

Options

• 68%

• 100%

• 74%

• 52.35%

Answer 1

Packing efficiency in body-centered cubic structure is 68%.

Explanation:

Packing efficiency = `("Volume occupied by four shares in the unit cell" xx 100)/("Total volume of the unit cell")%`

= `(4 xx (4/3)π"r"^3 xx 100)/([(4/sqrt3)"r"]^3)%`

= `((8/3)π"r"^3 xx 100)/(64/((3sqrt3))"r"^3)%`

= 68%