polonium crystallizes in a simple cubic unit cell with an edge length of 3.36A.1. what is the volume of the unit cell?2. what is the volume of atom in the unit cell?3. what is the packing efficiency of polonium?
Ans) Volume of unit cell = a^{3} = (3.36)^{3 } = 37.93 cu År = a/2 = 3.36/2 = 1.68Vol of atom = 4/3*pi*r^{3 }= {4*3.14*(1.68)^{3} }/3 = {4*3.14*4.74}/3 = 19.84 cu ÅPacking efficiency = Vol of atom * no. of atoms / vol of unit cellFor simple cubic, Packing efficiency = 19.84*1/37.93 = 0.52 = 52%