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Question

Total number of octahedral voids present per unit cell of ccp unitcell is:

A
8
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B
12
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C
9
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D
4
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Solution

The correct option is

D

4

Octahedral Voids

If you observe a three-dimensional structure of a crystal lattice you will observe the gaps in between the spheres. These are the voids. As you see that tetrahedral voids are triangular in shape. When two such voids combine, from two different layers they form an octahedral void.


So when the tetrahedral void of the first layer and the tetrahedral void of the second layer align together, they form an octahedral void. Here the void forms at the center of six spheres. So we say the coordination number of an octahedral void is six.

To calculate octahedral void, if the number of spheres in a structure is “n”, then the number of octahedral voids will also be the same. i.e. “n”.

In ccp, number of atoms present per unit cell =4

Since in cubic closed packing, the number of octahedral voids is equal to the number of atoms present per unit cell, hence
Number of octahedral voids=4

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