Question

Questions : A given metal crystallizes out with a cubic structure having an edge length of 360 pm. If there is only one metal atom per unit cell, what is the radius of the atom? (1) 180 pm (2) 9023 pm (3) 9012 pm (4) 90 pm​

Answer 1

Answer:

Since there are four metal atoms in one unit cell, the unit cell is fcc type.

For fcc unit cell, radius r=0.3535 a, where a is the edge length of the unit cell.

Hence, r=0.3535×361 pm =127.6 pm

Thus, the radius of one atom is 127.6 pm.