If the radius of an octahedral void is r and radius of atoms in close packing is R, the relation between r and R is

Explanation

In `Delta ABC`
`BC^(2) = AB^(2) + AC^(2)`
`4R^(2) = 2AB^(2) + AC^(2)`
`4 R^(2) = 2 (R + r)^(2)`
`:. R + r = sqrt(2) R`
`(R + r)/(R ) = sqrt(2)`
`1 + (r )/(R ) = sqrt(2) implies (r )/(R ) = 0.414`