Kaptains Theory for the S-To Conversion

Kaptain obtained the time evolution of the wave function ( P(O) of a radical pair during the S-To conversion [3], solving the Schrodinger equation. 

It is noteworthy from Eqs. (3-19) and (3-20) that the S-To conversion rate is given by O), which is 10 -10 s for usual radical pairs as shown in Problems 3-5(a) and 3-5(b). 

As shown in Fig. 3-1, some radicals in separated radical pairs re-encounter their partners within the solvent cages, but others escape fiem the cages, forming escape radicals . Since the time scales for the secondary recombination and the S-To conversion rates are 10 10 and 10 --10 s, [3] respectively, the change in the S-To conversion rate by an external magnetic field and/or the HFC term can influence the yield of cage and escape products. 

This equation was derived from the following conditions  

The exact behavior at short times is not so important. In Eq. (3-21), p is the total probability at least one re-encounter. 

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