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What is the ratio of the radius of an octahedral void to that of the constituent particle?

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Question

What is the ratio of the radius of an octahedral void to that of the constituent particle?

Numerical
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Solution

In a close-packed structure, the radius r of an octahedral void compared to the radius R of the surrounding (constituent) particle is given by:

`r/R = 0.414`

This means that the octahedral void can accommodate a smaller sphere whose radius is 41.4% of the larger constituent particle.

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