Calculate the percentage of packing efficiency in simple cubic unit cell.

Question

Calculate the percentage of packing efficiency in simple cubic unit cell. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

In simple cubic, packing efficiency =( text Volume of one atom × 100/ text Volume of unit cell ) =((4/3) π r3/8 r 3) × 100=(π/6) × 100=52.4 % where, r= radius of one sphere or atom.

Q. Calculate the percentage of packing efficiency in simple cubic unit cell.

In simple cubic, packing efficiency
$= \frac{Volume of one atom \times 100}{Volume of unit cell}$
$= \frac{\frac{4}{3} π r ^{3}}{8 r ^{3}} \times 100 = \frac{π}{6} \times 100 = 52.4%$
where, $r =$ radius of one sphere or atom.

Q. Calculate the percentage of packing efficiency in simple cubic unit cell.

In simple cubic, packing efficiency = Volume of unit cell Volume of one atom ×100​ =8r334​πr3​×100=6π​×100=52.4% where, r= radius of one sphere or atom.

In simple cubic, packing efficiency
$= \frac{Volume of one atom \times 100}{Volume of unit cell}$
$= \frac{\frac{4}{3} π r ^{3}}{8 r ^{3}} \times 100 = \frac{π}{6} \times 100 = 52.4%$
where, $r =$ radius of one sphere or atom.