Relation between nearest neighbour distance and radius of atom, Concept of Radius ratio
Relationship between the nearest neighbour distance (d), edge of the unit cell (a) and the radius of the atom (r) (1)Simple cubic unit cell- Distance between nearest neighbour (d) = AB = a Hence for simple cubic (SC) d = a and r = a/2 (2)Face centred cubic unit cell- Distance between nearest neighbour (d) = AC (Because spheres at the face diagonal are touching each other) But from ∆ ABC AC2 = AB2 + BC2 Hence d = a2 + a2 d = 2a2 d = √2a d =a/ √2...