Calculate the void space in a primitive unit cell and also the fraction of the total volume occupied .

Explanation

To calculate the void space in a primitive unit cell and the fraction of the total volume occupied, we can follow these steps:

### Step 1: Understand the Primitive Unit Cell
A primitive unit cell, also known as a simple cubic unit cell, consists of atoms located at the corners of a cube. In a simple cubic structure, there is one atom per unit cell due to the contribution of the corner atoms.

### Step 2: Calculate the Volume of the Unit Cell
The volume of the unit cell (cube) can be expressed as:
\[ V_{\text{cube}} = a^3 \]
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