Cation-anion radius ratio
- Cation-anion radius ratio
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In condensed matter physics the cation-anion radius ratio is the ratio of the ionic radius of the cation to the ionic radius of the anion in a cation-anion compound. This is simply given by rC / rA
The allowed size of the cation is determined by the critical radius ratio. If the cation is too small, then it will attract the anions into each other and they will collide hence the compound would collapse, this occurs when the radius ratio drops below 0.155.
At the stability limit the cation is touching all the anions and the anions are just touching at their edges (radius ratio = 0.155). Beyond this stability limit (radius ratio > 0.155) the compound will be stable.
The below table gives the relation between radius ratio and coordination number
| Radius Ratio |
Coordination number |
Type of void |
Example |
| 0.155-0.225 |
3 |
Triangular Planar |
B2CO3 |
| 0.225-0.414 |
4 |
Tetrahedral |
ZnS,CuCl |
| 0.414-0.732 |
6 |
Octahedral |
NaCl,MgO |
| 0.732-1.000 |
8 |
Cubic |
CsCl,NH4Br |
Face-centered_cubic
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Critical Radius Ratio
