The
usual depiction of energy transfer from an antenna of a lanthanide
complex, LnL
n
, to the lanthanide ion,
Ln3+, such as Eu3+ or Tb3+, is illustrated
by an energy diagram matching the complex and metal ion levels. Other
than direct singlet energy transfer (ET), relaxation to the lowest
triplet state, T1, may be followed by ET. The determination
of the zero phonon line triplet state energy, T1, is thus
essential for the rationalization of the ET processes of lanthanide
ions. It is also useful to calculate the electronic absorption spectra
of lanthanide complexes to pinpoint maximum absorption. The triplet
state energy and the energies of absorption bands have not been thoroughly
investigated by calculation and compared with experimental results
in a critical manner previously. In order to study and provide guidelines
on these points, we have made an experimental and theoretical investigation
of the energy levels of lanthanide complexes in the solid state and
in solution by employing well-characterized compounds. It is found
that time dependent–density functional theory (TD-DFT) methods
do not provide a good indication of the complex absorption spectrum,
but reasonable agreement is achieved from multireference methods or
more rapidly from the Zerner’s intermediate neglect of differential
overlap (ZINDO/S) semiempirical method for calculating excited states.
Although the absorption spectra of the complexes may be similar for
different lanthanide ions and may be fairly similar to those of the
ligands, the use of a fragment scheme to calculate absorption spectra
using TD-DFT is generally not accurate. The major absorption bands
correspond to higher energy singlet transitions and the energies of
the first singlet and triplet states are not well-predicted by the
above methods. The calculation of the triplet zero phonon line energy
is best performed by the correction of the adiabatic transition energy
by the difference in the zero-point vibrational energy of the ground
singlet (S0) and the triplet (T1) states: the
ΔSCF (self-consistent field) method. The geometry optimization
of the complex in each electronic state followed by confirmatory vibrational
frequency calculations is thus required. This study lays down the
platform for a more accurate description and understanding of the
ET processes of lanthanide ions in organic complexes.