R. Visser et al., CE(N-LEVELS IN ALKALINE-EARTH FLUORIDES AND CERIUM ELECTRON, CERIUM HOLE INTERACTIONS() ENERGY), Journal of physics. Condensed matter, 5(32), 1993, pp. 5887-5910
The energy levels of three cerium centres in CaF2, SrF2 and BaF2 were
calculated in the framework of the relativistic Dirac-Hartree-Fock for
malism. In this study cerium was taken to be in various ionic states a
nd lattice relaxation was included. The centres were the following: th
e charge-uncompensated cerium centre (Ce) and two charge-compensated c
erium centres. The charge-compensating fluorine ion was situated at th
e (111) next-nearest-neighbour interstitial site (CeF(nnn)) or at the
(100) nearest-neighbour interstitial site (CeF(nn)). We did not work w
ith crystal field parameters, our method being ab initio. The results
are compared with a variety of experimental data. Relaxation of the la
ttice around the cerium centres is crucial for the results. From the l
ocation of the energy levels, we conclude that only trivalent and tetr
avalent cerium centres are stable in the alkaline-earth fluorides. If
free electrons are present, only the trivalent cerium centre is stable
. The divalent centre without charge compensation is metastable. This
is in agreement with experiment. Further, it is found that excitation
of trivalent cerium centres by capture of an electron and a hole at th
e cerium ion is improbable. This agrees with earlier observations of t
he scintillation decay of Ce3+-doped BaF2.