Despite the variety
of available computational approaches, state-of-the-art
methods for calculating excitation energies, such as time-dependent
density functional theory (TDDFT), are computationally demanding and
thus limited to moderate system sizes. Here, we introduce a new variation
of constrained DFT (CDFT), wherein the constraint corresponds to a
particular transition (T), or a combination of transitions, between
occupied and virtual orbitals, rather than a region of the simulation
space as in traditional CDFT. We compare T-CDFT with TDDFT and ΔSCF
results for the low-lying excited states (S
1
and T
1
) of a set of gas-phase acene molecules and OLED emitters
and with reference results from the literature. At the PBE level of
theory, T-CDFT outperforms ΔSCF for both classes of molecules,
while also proving to be more robust. For the local excitations seen
in the acenes, T-CDFT and TDDFT perform equally well. For the charge
transfer (CT)-like excitations seen in the OLED molecules, T-CDFT
also performs well, in contrast to the severe energy underestimation
seen with TDDFT. In other words, T-CDFT is equally applicable to both
local excitations and CT states, providing more reliable excitation
energies at a much lower computational cost than TDDFT cost. T-CDFT
is designed for large systems and has been implemented in the linear-scaling
BigDFT code. It is therefore ideally suited for exploring the effects
of explicit environments on excitation energies, paving the way for
future simulations of excited states in complex realistic morphologies,
such as those which occur in OLED materials.