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Relation between the radius of cation and anion in FCC, BCC.

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The relation between cation and anion in the following are:

FCC

\\ 2r_+ + 2r_- = a\sqrt{2} \\ r_+ + r_- = \frac{a}{\sqrt{2}}

The ratio of the radius of the cation to the radius of the anion is between 0.414 and 0.732.

BCC =

\\ 2r_+ + 2r_- = a\sqrt{3} \\ r_+ + r_- = \frac{a\sqrt{3}}{2}

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