The process of singlet fission was first introduced to describe the photophysics of anthracene in 1965.  Early studies on the effect of the magnetic field on the fluorescence of crystalline tetracene solidified understanding of singlet fission in polyacenes. 
Acenes, Pentacene and Tetracene in particular, are prominent candidates for singlet fission.  The energy of the triplet states are smaller than or equal to half of the singlet (S) state energy, thus satisfying the requirement of S ≥ 2T. Singlet fission in functionalized pentacene compounds has been observed experimentally. Intramolecular singlet fission in covalently linked pentacene and tetracene dimers has also been reported.
The detailed mechanism of the process is unknown.  Particularly, the role of charge transfer states in the singlet fission process is still debated. Typically, the mechanisms for singlet fission are classified into (a) Direct coupling between the molecules and (b) Step-wise one-electron processes involving the charge-transfer states. Intermolecular interactions and the relative orientation of the molecules within the aggregates are known to critically effect the singlet fission efficiencies.
The limited number and structural similarity of chromophores is believed to be the major obstacle to advancing the field for practical applications.  It has been proposed that computational modeling of the diradical character of molecules may serve as a guiding principle for the discovery of new classes of singlet fission chromophores.  Computations allowed to identify carbenes as building blocks for engineering singlet fission molecules.