Low-dimensional exciton reactions

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Abstract
A formalism for low-dimensional reaction kinetics is presented. Triplet-exciton annihilation experiments demonstrate the utility of this approach for low-dimensional and ultra-small samples: (I) naphthalene wires ranging down to a radius of a few nanometres; (2) percolation clusters at criticality (and above) where a site is a single naphthalene molecule but the system is a single crystal (ideal isotopic alloy). Exciton hopping and fusion provide a new, sensitive tool for the topological mapping of disordered films, surface aggregates, porous materials and fine powders. It also suggests a new approach to soliton and electron-hole recombination kinetics and to diffusion-limited reactions on surfaces, in pores and in other locally heterogeneous media.