The wide range of optical and magnetic
properties of lanthanide(III)
ions is associated with their intricate electronic structures which,
in contrast to lighter elements, is characterized by strong relativistic
effects and spin–orbit coupling. Nevertheless, computational
methods are now capable of describing the ladder of electronic energy
levels of the simpler trivalent lanthanide ions, as well as the lowest
energy term of most of the series. The electronic energy levels result
from electron configurations that are first split by spin–orbit
coupling into groups of energy levels denoted by the corresponding
Russell–Saunders terms. Each of these groups are then split
by the ligand field into the actual electronic energy levels known
as microstates or sometimes m
J
levels.
The ligand-field splitting directly informs on the coordination geometry
and is a valuable tool for determining the structure and thus correlating
the structure and properties of metal complexes in solution. The issue
with lanthanide complexes is that the determination of complex structures
from ligand-field splitting remains a very challenging task. In this
paper, the optical spectraabsorption, luminescence excitation,
and luminescence emissionof ytterbium(III) solvates were recorded
in water, methanol, dimethyl sulfoxide (DMSO), and N,N-dimethylformamide (DMF). The electronic energy
levels, that is, the microstates, were resolved experimentally. Subsequently,
density functional theory calculations were used to model the structures
of the solvates, and ab initio relativistic complete active space
self-consistent field calculations (CASSCF) were employed to obtain
the microstates of the possible structures of each solvate. By comparing
the experimental and theoretical data, it was possible to determine
both the coordination number and solution structure of each solvate.
In water, methanol, and N,N-dimethylformamide,
the solvates were found to be eight-coordinated and have a square
antiprismatic coordination geometry. In DMSO, the speciation was found
to be more complicated. The robust methodology developed for comparing
experimental spectra and computational results allows the solution
structures of homoleptic lanthanide complexes to be determined.