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Question -

If the radius of theoctachedral void is r and radius of the atoms in close packing is R, deriverelation between r and R.



Answer -

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

POQ = 900

                                             

Now, applying Pythagorastheorem, we can write:

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