Question

If `r` is the radius of the octahedral voids and `R` is the radius of the atom in close packing,then `:`
A. `(R)/(r)=9.1`
B. `(R)/(r)=3.22`
C. `(R)/(r)=2.41`
D. `(R)/(r)=4.67`

Answer 1

Correct Answer - d
`AC=sqrt(AB^(2)+BC^(2))`
`=(2R)^(2)+(2R)^(2)` ltBRgt `R+R+2r=2sqrt(2R)`
`2r=2(sqrt(2R)-R)`
`=r=(sqrt(2)-1)R`
`(r)/(R)=0.41`
`:. (R)/(r)=2.41`