Calculate the radius of atom of metal forming fcc unit cell having edge length 360 pm

Step-by-step solution

For a face-centered cubic (fcc) unit cell, the atoms touch each other along the face diagonal. The relationship between the edge length a and the atomic radius r is given by: 2 a = 4r r = a 2 2 Given a = 360 pm: r = 360 2 2 = 90 2 Using 2 = 1.414 : r = 90 1.414 = 127.26 pm Answer: 127.26 pm