Question

Part C 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) radius = nothing pm p m Submit

Answer 1

Answer:

181 picometers is the radius of a gallium atom.

Explanation:

Primitive cubic cell is an arrangement in which constituent particles are present only at the corners of the cube.Also known as simple unit cell. In this arrangement number of total particles is equal to 1.

$\frac{1}{8}\times 8 =1$

Gallium crystallizes in a primitive cubic unit cell.

Edge length of cubic unit cell = a = 362 pm

Let the radius be gallium atom be r

Two atoms of gallium touching each other = a =2r

362 pm = 2r

r = 181 pm

181 picometers is the radius of a gallium atom.