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Atomic Number and Mass Number

If theradius ...

Question

If the radius of the octachedral void is r and radius of the atoms in close packing is R, derive relation between r and R.

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Solution

A sphere with centre O, is fitted into the octahedral void as shown in the above figure. It can be observed from the figure that ΔPOQ is right-angled

∠POQ = 90⁰

Now, applying Pythagoras theorem, we can write:

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