Inverted singlet–triplet gap (INVEST) materials
have promising
photophysical properties for optoelectronic applications due to an
inversion of their lowest singlet (S1) and triplet (T1) excited states. This results in an exothermic reverse intersystem
crossing (rISC) process that potentially enhances triplet harvesting,
compared to thermally activated delayed fluorescence (TADF) emitters
with endothermic rISCs. However, the processes and phenomena that
facilitate conversion between excited states for INVEST materials
are underexplored. We investigate the complex potential energy surfaces
(PESs) of the excited states of three heavily studied azaphenalene
INVEST compounds, namely, cyclazine, pentazine, and heptazine using
two state-of-the-art computational methodologies, namely, RMS-CASPT2
and SCS-ADC(2) methods. Our findings suggest that ISC and rISC processes
take place directly between the S1 and T1 electronic
states in all three compounds through a minimum-energy crossing point
(MECP) with an activation energy barrier between 0.11 to 0.58 eV above
the S1 state for ISC and between 0.06 and 0.36 eV above
the T1 state for rISC. We predict that higher-lying triplet
states are not populated, since the crossing point structures to these
states are not energetically accessible. Furthermore, the conical
intersection (CI) between the ground and S1 states is high
in energy for all compounds (between 0.4 to 2.0 eV) which makes nonradiative
decay back to the ground state a relatively slow process. We demonstrate
that the spin-orbit coupling (SOC) driving the S1-T1 conversion is enhanced by vibronic coupling with higher-lying
singlet and triplet states possessing vibrational modes of proper
symmetry. We also rationalize that the experimentally observed anti-Kasha
emission of cyclazine is due to the energetically inaccessible CI
between the bright S2 and the dark S1 states,
hindering internal conversion. Finally, we show that SCS-ADC(2) is
able to qualitatively reproduce excited state features, but consistently
overpredict relative energies of excited state structural minima compared
to RMS-CASPT2. The identification of these excited state features
elaborates design rules for new INVEST emitters with improved emission
quantum yields.