Question

If R is the radius of the octahedral voids and r is the radius of an atom in close packing, then $\frac{R}{r}$ is equal to________.

• A. $2.41$
• B. $4.76$
• C. $3.22$
• D. $9.1$

Answer 1

The correct option is A $2.41$

$\begin{array}{c}\text{For}OV\\ \frac{r}{R}(\text{i.e.},\frac{r_{\oplus }}{r_{\theta }}\text{or}\frac{r_{\text{void}}}{r_{\ominus }})=0.414\\ \therefore \frac{R}{r}=\frac{1}{0.414}=2.41\end{array}$