A metal crystallizes in a simple cubic unit cell. The length of the edge of the unit cell, a, is 6.22 A. Find the radius of each atom of the metal.

Explanation

To find the radius of each atom in a simple cubic unit cell, we can follow these steps:

### Step 1: Understand the Structure of the Simple Cubic Unit Cell
In a simple cubic unit cell, atoms are located at each of the eight corners of the cube. Each corner atom is shared among eight adjacent unit cells.

### Step 2: Relate the Edge Length to the Atomic Radius
In a simple cubic structure, the atoms at the corners touch each other along the edge of the cube. This means that the edge length (a) of the unit cell is equal to twice the radius (r) of the atom. The relationship can be expressed as:
\[ a = 2r \]
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