The number of tetrahedral and octahedral void | vedclass

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Question

(B) In a close-packed structure ($CCP$ or $HCP$), if there are $n$ spheres (atoms or ions) in the packing, then:Number of octahedral voids $= n$Number

Vedclass · Accepted Answer

$8, 4$

Vedclass · Answer

(B) In a close-packed structure ($CCP$ or $HCP$), if there are $n$ spheres (atoms or ions) in the packing, then:Number of octahedral voids $= n$Number of tetrahedral voids $= 2n$In a $CCP$ unit cell, the number of atoms per unit cell is $4$.Therefore, the number of octahedral voids $= 4$.The number of tetrahedral voids $= 2 	imes 4 = 8$.Thus, the number of tetrahedral and octahedral voids are $8$ and $4$ respectively.

The number of tetrahedral and octahedral voids in a $CCP$ unit cell are respectively:

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