Dynamical theory of fluorescence polarization in a planar array of oriented pigment molecules

A theory is developed appropriate for the analysis of fluorescence polarization experiments with pigment molecules in a planar array (plane membrane). Especially rotatory and oscillatory dynamics of the pigment molecules are considered. Three model calculations are performed, which describe the following different situations: (a) Rotational diffusion of molecules around the normal to the plane membrane. (b) Oscillatory diffusion of molecules with respect to this normal. (c) As a two-dimensional example the independent superposition of both types of motion. Central point of these model calculations is the determination of an intensity of emission function, from which in practical application the measured fluorescence intensities may uniquely be calculated.