S. Skanthakumar et al., ANOMALOUS TEMPERATURE-DEPENDENCE OF THE LATTICE-PARAMETERS IN HOPO4 AND HOVO4 - RARE-EARTH QUADRUPOLAR EFFECTS, Journal of alloys and compounds, 225(1-2), 1995, pp. 595-598
The temperature dependencies of the lattice parameters in tetragonal H
oPO4 and HoVO4 were measured using neutron powder diffraction techniqu
es. Below about 100 K, the lattice parameter a of HoPO4 increases with
decreasing temperature while c decreases. In HoVO4, the above behavio
ur is reversed, that is a decreases with decreasing temperature while
c increases. Similar measurements on non-magnetic LuPO4 and LuVO4 do n
ot show any anomaly. This observation indicates that the unusual tempe
rature dependence of the lattice constants is magnetic in origin. The
observed effect can be explained in terms of an Ho3+ quadrupole intera
ction with the crystalline lattice. In particular, the calculated elec
tronically generated quadrupole moment of Ho3+ in HoPO4 and HoVO4 exhi
bits a temperature dependence similar to that observed for the lattice
parameters.