Resolution Based on Phase Angles and Modulations

The equations for spectral resolution based on phase and modulation data can be presented in several ways. For simplicity, we will present these equations for a system with two emitting species. For any decay law, the values of Ai(X) and D(X) are given by  

It is important to Understand the meaning of the terms in Eqs. [22.i4] and [22.iS]. The values of m(X) and i.) are the experimentally determined data mt and are constant tenns whose values will somehow be known or separately measured. If the intensity decay is due to a mixture of fluorophores each of which displays a single-exponential decay, then mi = cos i i and mi = cos 2 and 

Application of Craina s rule to Eqs. [22.14] and [22.1S], followed by application of the law for the sine of a rliffer-ence between two angles, yields 

These expressions weie first used by Veselova et of. to calculate the euussion qrectra of relaxed and uivelaxed fioaropiiares during spectral relaxation. Aitemafive forms of Ef s. [22.18] and [22.19] can be found by noting that /i(X)+.fi )=1.0  

Use of other form of these equations requires knowlei e of 61,62.0 1, and mis or, for a mixture of fluorophares, ti andTz. 

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