What is radios ratio rule?
Answers
In condensed matter physics and inorganic chemistry the cation-anion radius ratio (also: radius ratio rule [1]) 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 {\displaystyle r_{C}/r_{A}}{\displaystyle r_{C}/r_{A}}.
According to Pauling's rules for crystal structures, the allowed size of the cation for a given structure is determined by the critical radius ratio.[2] If the cation is too small, then it will attract the anions into each other and they will collide hence the compound will be unstable due to anion-anion repulsion; 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). For radius ratios greater than 0.155, the compound may be stable.
The table below gives the relation between radius ratio and coordination number, which may be obtained from a simple geometrical proof.[3]
Radius Ratio Coordination number Type of void Example
< 0.155 2 Linear
0.155 - 0.225 3 Triangular Planar B2O3
0.225 - 0.414 4 Tetrahedral ZnS, CuCl
0.414 - 0.732 6 Octahedral NaCl, MgO
0.732 - 1.000 8 Cubic CsCl, NH4Br
Answer:
Radius Ratio refers to as the ration of smaller ionic radius (cation) by the ratio of larger ionic radius (anion). Hence, Radius ration ρ = rs/rl.
The radius ratio rule gives relationship between the radius, co-ordination number and the structural arrangement of molecules in an atom. Its defined as the ratio of the radius of cation to the radius of anion.