Arylene
diimide compounds exhibit thermally activated delayed fluorescence
(TADF), but its mechanism remains elusive. Herein we studied the TADF
mechanism of a carbazole-substituted pyromellitic diimide derivative
(CzPhPmDI) in poly(methyl methacrylate) (PMMA) film by using DFT,
TD-DFT, and MS-CASPT2 methods within the QM/MM framework. We found
that the TADF mechanism involves three electronic states (i.e., S0, S1, and T1), but the T2 state is not involved because its energy is higher than the S1 state by 6.9 kcal/mol. By contrast, the T1 state
is only 3.2 kcal/mol lower than the S1 state and such small
energy difference benefits the reverse intersystem crossing (rISC)
process from T1 to S1 thereto TADF. This point
is seconded by relevant radiative and nonradiative rates calculated.
At room temperature, the ISC rate from S1 to T1 is calculated to be 6.1 × 106 s–1, which is larger than the fluorescence emission rate, 2.2 ×
105 s–1; thus, the dominant S1 population converts to the T1 state. However, in the
T1 state, the rISC process (1.8 × 104 s–1) becomes the most important channel because of the
negligible phosphorescence emission rate (3.5 × 10–2 s–1). So, the T1 population is still
converted back to the S1 state to fluoresce enabling TADF.
Unfortunately, the rISC process is blocked in low temperature. Besides,
we found that relevant Huang–Rhys factors have dominant contribution
from low-frequency vibrational motion related to the torsional motion
of functional groups. These gained insights could provide useful information
for the design of organic TADF materials with excellent luminescence
efficiency.