What is the volume occupied by particles in BCC structure if ' a ' is edge length of unit cell?

Step-by-step solution

Number of particles in BCC unit cell (Z)=2 Relation between edge length and radius, aligned & 3 a =4 r & r = 3 a 4 aligned Volume occupied by particles in BCC =2 Volume of one atom aligned & =2 4 3 r ^3 & =2 4 3 ( 3 a 4 )^3 & = 2 4 3 3 3 a ^3 64 & = 3 a ^3 8 aligned