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Calculate the void space in a primitive ...

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

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Volume of the cube `=a^(3)=(2r)^(3)=8r^(3)" "a=2r`
Packing fraction `=("Volume of one atom")/("Volume of the cube")=(((4)/(3)pir^(3)))/(8r^(3))=(pi)/(6)=0.52`
`therefore` Void fraction = 1 - 0.52 = 0.48, `therefore` Void space = 48%
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