Evaluation of time functions

Since it had been assumed that the measured values are proportional to concentration, the evaluation by integrated time laws causes no essential difficulties. In Section 5.1.2.1 the physically sensitised photoisomerisation was treated as an example. Instead of the relationship given there one finds 

In the same way the kinetic analysis of quasi-Iinear photoreactions by difference equations is possible using M values (signals of reactants at various times t). By multiplication of eq. (5.13) from the left by m and taking into account eq. (5.27) one finds 

If the M values are evaluated according to eq. (5.32) one can determine the elements of K . According to eq. (5.31) the matrices and K are similar, that means they have the same eigenvalues. Since m is a diagonal matrix, for the above transformation the general relationship is valid 

Accordingly difference and recursion equation of higher order can be transferred into the Af-system also. Multiplying eq. (5.17) by one finds 

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