Ah. Marcus et al., INTERMOLECULAR STRUCTURE IN A SINGLE-COMPONENT POLYMER GLASS - TOWARDS HIGH-RESOLUTION MEASUREMENTS OF THE SIDE-CHAIN PAIR CORRELATION-FUNCTION, The Journal of chemical physics, 100(12), 1994, pp. 9156-9169
Electronic excitation transport among interacting polymer molecules li
ghtly tagged with chromophore substituents is theoretically examined a
s a function of tagged polymer concentration in the polymeric solid. T
he results are compared to experimental data obtained in a previous st
udy [Macromolecules 26, 3041 (1993)]. The dependence of time-resolved
fluorescence observables on intermolecular polymer structure is of pri
mary interest. A theory is presented which describes excitation transp
ort for both donor-donor (DD) and donor-trap (DT) systems. For the cas
e of DD transport, the theory is based on a first order cumulant appro
ximation to the transport master equation. For DT transport, the theor
y does not involve approximations and is an exact representation of th
e assumed model. Ln both cases, the model makes use of the Flory ''ide
ality'' postulate by depicting the intramolecular segmental distributi
on as a Gaussian with a second moment that scales linearly with chain
size. The only adjustable parameter in the treatment is the form of th
e intermolecular segmental pair distribution function g(r). The model
is found to be extremely sensitive to the behavior of g(r). Comparison
s to experimental data indicate that g(r) is primarily made up of hard
core interactions between the chromophore sites. The DT calculations
display a higher sensitivity to the form of g(r) than the correspondin
g DD calculations. For purposes of comparison, the analysis is applied
to a DT system in which every polymer chain has chromophore tags. The
sensitivity of the method for 100% tagged systems to g(r) is comparab
le to the analysis for systems with only some of the chains tagged.