https://doi.org/10.1140/epjb/e2003-00195-2
A vibrational model of F centres in alkali halides
Dipartimento di Fisica, Università di Cagliari, Istituto Nazionale di Fisica della Materia,
Cittadella Universitaria Monserrato (CA), Italy
Corresponding author: a masalis@vaxca1.unica.it
Received:
7
January
2003
Revised:
4
April
2003
Published online:
23
July
2003
A model of F-centres in alkali halides, which relates
absorption energies in F-bands to the dynamic parameters of host lattices,
is proposed. According to this model, the electrons trapped in F-centres are
treated as classical particles with a proper mass , m standing for the actual
electron mass,
and
for local
high frequency and optical dielectric constants, respectively. Hence, by
considering the trapped electrons as substitutional impurities of small
mass, the dynamics of the lattice is investigated by means of the theory of
local modes with the assumption of isotopicity. A simple equation allowing
calculation of the local mode frequencies is obtained. Knowledge of the
Debye frequency and of transverse and longitudinal mode frequencies at the
long wavelength limit is required. With this model, F-band absorption energy
is reasonably well accounted for.
PACS: 63.20.Pw – Localized modes / 71.55.-i – Impurity and defect levels / 78.40.Ha – Other nonmetallic inorganics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003