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The fraction of total volume occupied by the atoms present in a simple cubic is

1. 1/2 × √3/4 : 1/2 × √3/2
2. 1/2 × √3/4 : 1/2 × √3/2
3. 1/2 × √3/2 : √3/2
4. a : √3a : √2a

Correct answer: 1/2 × √3/2 : √3/2

Solution

In a simple cubic unit cell, the packing efficiency is calculated as the ratio of the volume occupied by atoms to the total volume of the unit cell. The correct fraction is derived from the geometry of the simple cubic structure.

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