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Calculate the void space in a primitive unit cell and also the fraction of the total volume occupied .A. 52B. 48C. 74D. 26

Answer» Correct Answer - B
a=4rVolume of the cube `=a^(3)=(2r)^(3)=8r^(3)`
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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