Matrix-Molecule Interaction in Dye-Doped Rare Gas Solids

Thomas Giering, Peter Geissinger, Wolfgang Richter, and Dietrich Haarer 

Macromolecidetr Systems Microsct ic Interactions and Macroscopic Properties Deutsche Fcrschungsgemeinsdiaft (DFG) 

Copyright 2000 WILEY-VCH Verlag GmbH, Weinheim. ISBN 978-3-527-27726-1 

Furthermore, the validity range of the results of the stochastic model remained unclear, since in the course of the calculation two conflicting approximations with regard to the number density p of the matrix units within the interaction range of the dye molecule were made the Gaussian approximation (valid for p oo) and the continuum approximation (valid for p 0). The latter is neglecting correlations between matrix units, which arise from their mutual steric exclusion. 

The above-mentioned stochastic model description considers an amorphous system of N matrix units, containing a small concentration of dye molecules. Each matrix unit will shift the electronic absorption line of the dye molecule by some amoimt v Ri where Ri is the position of the matrix unit with respect to the dye molecule. The contributions of all matrix units are assumed to be additive. The total inhomogeneous distribution of absorption lines can then be written as [2-4]  

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Matrix-Molecule Interaction in Dye-Doped Rare Gas Solids... 

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