Charge-Transfer Versus Charge-Transfer-Like Excitations
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Abstract
Criteria to assess charge-transfer
(CT) and CT-like character of
electronic excitations are examined. Time-dependent density functional
theory (TDDFT) calculations with non-hybrid, hybrid, and tuned long-range
corrected (LC) functionals are compared with coupled-cluster (CC)
benchmarks. The test set comprises an organic CT complex, two push–pull
donor–acceptor chromophores, a cyanine dye, and several polycyclic
aromatic hydrocarbons. Proper CT is easily identified. Excitations
with significant density changes upon excitation within regions of
close spatial proximity can also be diagnosed. For such excitations,
the use of LC functionals in TDDFT sometimes leads to dramatic improvements
of the singlet energies, similar to proper CT. It is shown that such
CT-like excitations do not have the characteristics of physical charge
transfer, and improvements with LC functionals may not be obtained
for the right reasons. The TDDFT triplet excitation energies are underestimated
for all systems, often severely. For the CT-like candidates, the singlet–triplet
(S/T) separation changes from negative with a non-hybrid functional
to positive with a tuned LC functional. For the cyanine, the S/T separation
is systematically too large with TDDFT, leading to better error compensation
for the singlet energy with a non-hybrid functional