Percentages of free space in cubic close pack | vedclass

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(B) Packing fraction is defined as the ratio of the volume of the unit cell that is occupied by the spheres to the volume of the unit cell.The packing

Vedclass · Accepted Answer

$26 \%$ and $32 \%$

Vedclass · Answer

(B) Packing fraction is defined as the ratio of the volume of the unit cell that is occupied by the spheres to the volume of the unit cell.The packing efficiency for $ccp$ (cubic close packed) is $74 \%$,so the free space is $100 \% - 74 \% = 26 \%$.The packing efficiency for $bcc$ (body-centered cubic) is $68 \%$,so the free space is $100 \% - 68 \% = 32 \%$.Therefore,the percentages of free space in $ccp$ and $bcc$ are $26 \%$ and $32 \%$ respectively.

Percentages of free space in cubic close packed structure and in body centered packed structure are respectively

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