Question

Right answer will mark as brainlist. ​

Answer 1

Answer:

In simple cubic unit cell, two atoms touch along the edge of the unit cell.

For simple cubic cell, the relationship between the edge length a and the radius r is a=2r.

The volume of the unit cell V=a³=(2r)³=8r³

Each simple cubic cell contains eight atoms present at eight corners. Each atom contributes one eight to the unit cell. Hence, number of atoms present in one unit cell= 8× 1/8 = 1.

The volume occupied by one atom in unit cell = 4/3 πr².

packing efficiency=

Volume occupied by one atom

————————————————— × 100

Volume of unit cell.

packing efficiency = 4/3 πr²/ 8 r³ × 100.

= 52.4%.

Hence, the percentage efficiency of packing in case of simple cubic cell is 52.4 %.

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