The fraction of total volume occupied by atoms in a simple cube is

Options

A. `(pi)/(6)`
B. `(sqrt(3pi))/(8) `
C. `(sqrt(2pi))/(6)`
D. `(pi)/(3)`

Explanation

To find the fraction of total volume occupied by atoms in a simple cubic unit cell, we can follow these steps:

### Step 1: Understand the Concept of Packing Fraction
The packing fraction (PF) is defined as the ratio of the volume occupied by the atoms to the total volume of the unit cell. The formula for packing fraction is:

\[ \text{Packing Fraction (PF)} = \frac{\text{Volume occupied by atoms}}{\text{Total volume of unit cell}} \]
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