The ion radius ratios to predict the structure type and coordination number of the compounds. place them into the appropriate bin. ionic radii are given in the table. [tex]\mathrm{NaCl} \text { str.t } 6 \text {-coordinate }[/tex]
What is radius ratios?
Larger than cations are anions. Smaller sized cations are found in voids, while larger anions fill lattice spaces. Radius ratio is the ratio of cation to anion radius.
According to radius ratio rule, radius ratio is given as,
[tex]\text { Radius ratio }=\frac{\text { Radius of Cation }\left(r^{+}\right)}{\text {Radius of anion. }\left(r^{-}\right)}[/tex]
[tex]\mathrm{r}^{+} / \mathrm{r}^{-} \quad \text { Coordination no. Structure type }[/tex]
[tex]0.0-0.155 \quad 2 \quad \text { Linear }[/tex]
[tex]$0.155-0.225 \quad 3$[/tex] [tex]Triangular.[/tex]
[tex]0.225-0.414 \quad 4 \quad \text { Tetriahedral }(2 n s)[/tex]
[tex]$0.414-0.732 \quad 6$[/tex] [tex]Octahedral ( $\mathrm{NaCl}$ )[/tex]
[tex]$0.732-1$[/tex] [tex]Cubic (Cscl)[/tex]
[tex]\begin{aligned}& \text { Bese } \Rightarrow \text { Radius ratio }=\frac{45}{198}=0.227 \\& \text { ZnS sty. }-4 \text { coordinate. } \\& \text { Case } \Rightarrow \text { Radius Ratio }=\frac{100}{198}=0.505 \\& \text { Nacl str. } \rightarrow 6 \text {-coordinate } \\& \text { BaSe } \Rightarrow \text { Radius Ratio }=\frac{135}{198}=0.682 \\& \text { Nacl str. } \rightarrow 6 \text {-coordinate }\end{aligned}[/tex]
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