Mon January 14, 2013 By: Krupal Patel

how to count the coordination number of a tetrahedral void

Expert Reply
Tue January 15, 2013
In close packing arrangement, each sphere in the second layer rests on the hollow (triangular void) in three touching spheres in the first layer. The centres of theses four spheres are at the corners of a regular tetrahedral. The vacant space between these four touching spheres is called tetrahedral void.
In a close packing, the number of tetrahedral void is double the number of spheres, so there are two tetrahedral voids for each sphere .
In a multi layered close packed structure , there is a tetrahedral hole above and below each atom hence there is twice as many tetrahedral holes as there are in close packed atoms 
Radius of the tetrahedral void relative to the radius of the sphere is 0.225.

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