Gallium crystallizes in a primitive cubic unit cell. the length of an edge of this cube is 362 pm. what is the radius of a gallium atom? express your answer numerically in picometers. view available hint(s) g

A primitive cubic unit cell has a simple cubic structure with one atom present in each of the eight corners of the cube. In addition each atom is shared equally by eight other cubes such that there is atom per unit cell.

The edge length (a) of a simple cube is related to the atomic radius (R) by the relation:

a = 2*R

For the Ga unit cell a = 362 pm

Therefore, R = a/2 = 362/2 = 181 pm

Thus, the radius of Gallium atom is 181 pm