Evaluation of differential equations

The true differential quantum yields can no longer be localised in the integrated equations of photokinetics. The different rate constants are distributed to different terms in the equation. On the other hand one can correlate quantum yields in the differential equations. If the quantum yield does not depend on the intensity of the irradiation source on finds according to eq. (3.35) 

The true differential quantum yield has been symbolised as p by simplification. F( ) is given by eq. (1.41). If all of the three following conditions are valid then the quantum yields can be determined using eq. (5.20)  

Section 2.1.2 demonstrated that the quantum yields depend on the concentration of the reactants in a characteristic way (in general the true differential and the partial quantum yields respectively). Iliis correlation can be used for kinetic analysis. 

In practice in general the wavelengths of measurement and irradiation are not taken the same. Therefore A is taken as the wavelength of irradiation. The applications are treated accordingly in the further sections of this chapter. 

Example 5.11 Photochemical quantum yields of a photoaddition reaction In Example 3.4 the photo-addition had been treated according to eq. (3.3). One finds for the quantum yield 

---