Pg. Vanpatten et al., ENERGY-TRANSFER MODELING FOR THE RATIONAL DESIGN OF MULTIPORPHYRIN LIGHT-HARVESTING ARRAYS, JOURNAL OF PHYSICAL CHEMISTRY B, 102(21), 1998, pp. 4209-4216
Excited-state energy migration among a collection of pigments forms th
e basis for natural light-harvesting processes and synthetic molecular
photonic devices. The rational design of efficient energy-transfer de
vices requires the ability to analyze the expected performance charact
eristics of target molecular architectures comprised of various pigmen
ts. Toward that goal, we present a general tool for modeling the kinet
ics of energy migration in weakly coupled multipigment arrays. A matri
x-formulated eigenvalue/eigenvector approach has been implemented, usi
ng empirical data from a small set of prototypical molecules, to predi
ct the quantum efficiency (QE) of energy migration in a variety of arr
ays as a function of rate, competitive processes, and architecture. Tr
ends in the results point to useful design strategies including the fo
llowing: (1) The QE for energy transfer to a terminal acceptor upon ra
ndom excitation within a linear array of isoenergetic pigments decreas
es rapidly as the length of the array is increased. (2) Increasing the
rate of transfer and/or the lifetime of the competitive deactivation
processes significantly improves QE. (3) Qualitatively similar results
are obtained in simulations of linear molecular photonic wires in whi
ch excitation and trapping occur at opposite ends of the array. (4) Br
anched and cyclic array architectures exhibit higher QEs than linear a
rchitectures with equal numbers of pigments. (5) Dramatic improvements
in QE are achieved when energy transfer is directed by a progressive
downward cascade in excited-state energy. (6) The most effective light
-harvesting architectures are those where isolated pools of donors eac
h have independent paths directly to the terminal acceptor. Collective
ly, these results provide valuable insight into the types of molecular
designs that are expected to exhibit high efficiency in overall energ
y transfer.