The rare-earth trifluoromethanesulfonates R(CF3SO3)3.9H2O (RTFMS), for
m hexagonal crystals structurally similar to the ethylsulfates R(C2H5S
O4)3.9H2O (RES). While the magnetic properties of RTFMS and RES analog
s for many different rare earths are quite similar, PrTFMS has been fo
und to exhibit long-range spin order (T(N)=0.31 K) while PrES shows on
ly short-range order. In an attempt to understand this difference, ele
ctron paramagnetic resonance has been studied at and below 4.2 K at X
band (approximately 9.2 GHz) and K band (approximately 23.5 GHz) for 1
% and 3% concentrations of Pr3+ substituted in LaTFMS crystals. For Pr
3+, the crystal field of C3h symmetry leaves an accidentally degenerat
e ground doublet and a singlet first excited state. There is a magneti
c dipole moment along the c axis while an electric dipole moment devel
ops in the perpendicular (xy) plane. Random distortions split the doub
let by an amount DELTA. Its Hamiltonian, in an effective spin S=1/2 fo
rmalism, is H=g(parallel-to) betaH(z)S(z)+AI(z)S(z)+(DELTA(x)S(x)+DELT
A(y)S(y)) +gamma(E(x)S(x)+E(y)S(y)), where DELTA2=DELTA(x)2+DELTA(y)2.
Single-ion resonances are well described by this Hamiltonian with g(p
arallel-to) almost-equal-to 1.74, g(perpendicular-to) almost-equal-to
0, A almost-equal-to 0.086 cm-1, gamma almost-equal-to 2.3X10(-31) C m
, and DELTA/k=0.224 K. At K band, additional lines due to interacting
pairs of Pr3+ ions have been identified and analyzed using an interact
ion Hamiltonian of the form S(i).K.S(j). Coupling constants have been
determined for both nearest-neighbor (nn) pairs along the c axis and n
ext-nearest-neighbor (nnn) pairs whose axis makes an angle of approxim
ately 65-degrees with the c direction. nn and nnn interactions are of
opposite sign, comparable magnitudes, and much larger than those of ma
gnetic dipoles. They explain the Weiss constant observed in concentrat
ed PrTFMS. The nnn coupling, which appears to be more important than i
n PrES, probably accounts for long-range ordering seen in PrTFMS altho
ugh the detailed mechanism is unclear.