The crystal structure of PbSnF4
and the nature of the anion diffusion mechanism which characterizes its high
ionic conductivity have been investigated by impedance spectroscopy, powder
neutron diffraction and computer simulation methods. The ionic conductivity of
PbSnF4
undergoes small, but abrupt, increases at 608(4) and 672(3) K characteristic of the and phase transitions. The ambient temperature
α-PbSnF4
phase possesses a tetragonal crystal structure (space group
P4/nmm), derived from the cubic fluorite arrangement by ordering of the cations in the scheme
PbPbSnSnPbPb along the [001] direction. However, the
Sn2+–Sn2+ layers contain
essentially no F−, with the displaced anions residing in the
Pb2+–Sn2+ layers
and showing significant disorder, particularly at temperatures close to the upper limit of stability of
the α
phase. Computer simulations, using interionic potentials derived from first-principles
calculations and containing realistic representations of polarization effects, are
in good agreement with the measured ionic conductivity and successfully
reproduce the experimentally determined ionic distribution. Analysis of the
simulated ionic motions demonstrate that the impressive ionic conductivity of
α-PbSnF4
at temperatures close to ambient is a consequence of anion diffusion within the
Pb2+–Sn2+ layers,
whilst those F−
within the Pb2+–Pb2+
layers are immobile. At temperatures close to the melting point of the
simulated system, increased transfer of anions between the various
Pb2+–Pb2+,
Pb2+–Sn2+,
Sn2+–Sn2+
layers is observed, as the system tends towards a more isotropic anion diffusion process.