1.14 If the radius of the octahedral void is r and radius of the atoms in closepacking is R, derive relation between r and R.

Answers (1)

From the figure, it is clear that we can use Pythagoras theorem and find the relation between R and r.

Using pythagoreas theorem :  

                                            (2R)^2 = (R+r)^2 + (R+r)^2

or                                         4R^2 = R^2+2Rr +r^2 + R^2+2Rr+r^2

or                                         2R^2 = 4Rr +2r^2

or                                            r = 0.414R

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