Editing Cage effect (section)

== Cage recombination efficiency ==

The cage effect can be quantitatively described as the '''cage recombination efficiency'''  F<sub>c</sub> where:

:<math>F_c = k_c/(k_c + k_d)   </math><ref name=":2" />

Here F<sub>c</sub> is defined as the ratio of the rate constant for cage recombination (k<sub>c</sub>) to the sum of the rate constants for all cage processes.<ref name=":2" /> According to mathematical models, F<sub>c</sub> is dependent on changes on several parameters including radical size, shape, and solvent viscosity.<ref name=":2" /><ref>{{Cite journal|last=Noyes|first=R.M.|year=1954|title=A Treatment of Chemical Kinetics with Special Applicability to Diffusion Controlled Reactions|journal=J. Chem. Phys. |volume=22|issue=8|pages=1349–1359|doi=10.1063/1.1740394|bibcode=1954JChPh..22.1349N}}</ref><ref>{{Cite journal|last=Noyes|first=R.M.|year=1961|title=Effects of diffusion rates on chemical kinetics|journal=Progr. React. Kinet.|volume=1|pages=129–60}}</ref> It is reported that the cage effect will increase with an increase in radical size and a decrease in radical mass.