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Determination of packing fraction of diamond

The co-ordination number of an atom in diamond structure is 4 as can be seen from the unit cell of diamond and is loosely packed.

The unit cell has 8 corner atoms, 6 face-centered atoms and 4 atoms inside the cube. As each corner atom is shared by 8 adjacent unit cells and every face-centered atom is shared by 2 unit cells,

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