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Calculate the packing efficiency in fcc unit cell ?

Answer»

SOLUTION :Total number of spheres BELONGS to a single fcc unit cell is 4.
`"VOLUME of the sphere with radius r is "=(4)/(3)pi((sqrt2a)/(4))^(3)`
`=(sqrt2pia^(3))/(24)`
`therefore"Volume of all spheres in fcc unit cell"=4XX((sqrt2pia^(3))/(24))`
`=(sqrt2pia^(3))/(6)`
`"Packing efficiency "=(((sqrt2pia^(3))/(6)))/(a^(3))xx100`
`=(sqrt2pi)/(6)xx100`
`=(1.414xx3.14xx100)/(6)=74%`


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