P. Daniel et al., VIBRATIONAL INVESTIGATION OF THE ANTIFERRODISTORTIVE STRUCTURAL INSTABILITIES IN THE PEROVSKITE CRYSTAL RBCAF3, Physical review. B, Condensed matter, 55(10), 1997, pp. 6222-6231
The Raman spectra of the three phases of the perovskite RbCaF3 have be
en recorded. A detailed group-theoretical analysis together with a rig
id-ion model calculation in the cubic symmetry have been carried out i
n order to identify the observed peaks. The established compatibility
relations demonstrate that the orthorhombic Gamma(0,0,0) modes come fr
om the Gamma(0,0,0) and X(0.5,0.5,0) tetragonal modes, themselves comi
ng from the Gamma(0,0,0), R(0.5,0.5,0.5), M(0.5,0,0.5), and X(0,0.5,0)
eigenmodes of the cubic Brillouin zone. These calculations, together
with the analysis of experimental Raman spectra, unambiguously show th
at the first-order transition that occurs at T-c = 31.5 +/- 1 K gives
rise to an orthorhombic symmetry (Pnma space group associated with the
a(-)a(+)a(-) tilt system in Glazer's classification) without any grou
p-subgroup relation to the tetragonal one. Particular attention was al
so paid to hard Raman modes which are not directly involved in the tra
nsition but still provide valuable information about the local symmetr
y. The temperature dependence of the integrated Raman intensity of the
se hard modes is correctly described by a power law t(2 beta) in which
t is the reduced temperature, (T-T-c)/T-c, and the critical exponent
beta is found to be 0.27. A deviation from this behavior becomes appar
ent close to transition, indicating that local structural distortions
subsist over a fairly wide temperature range.