Temperature dependence of the crystal-field splittings and hyperfine structure in Eu2+:CaWO4 and evidence for nuclear quadrupole interactions

1969 ◽  
Vol 47 (14) ◽  
pp. 1505-1515 ◽  
Author(s):  
J. S. M. Harvey ◽  
H. Kiefte

The crystal-field splittings and hyperfine-structure constants of Eu2+ in CaWO4 have been accurately measured at 4.2 °K and at 78 °K using the method of electron paramagnetic resonance. These measurements were intended to provide liquid-helium temperature parameters for ENDOR experiments presently in progress but showed significant differences from the earlier measurements of Bronstein and Volterra. Because of these differences and the considerable current interest in the values of these parameters for S-state ions, z-axis measurements were extended to cover the temperature range from 1.8 °K to room temperature.A very good fit to the measured line positions has been obtained by carrying out an exact diagonalization of the spin Hamiltonian within the 8S7/2 manifold. The parameters fitted are [Formula: see text], [Formula: see text], b20, b40, b44, b60, b44, A, and B. Residual discrepancies, of the order of a tenth of a line width, are shown to be consistent with the presence of a purely ionic quadrupole interaction and an interaction between the nuclear quadrupole moment and the crystalline electric field. The temperature variation of the dipolar hyperfine-coupling constant is shown to be consistent with the theory of Šimánek and Orbach as extended to rare earth ions in cubic lattices by Menne, Ames, and Lee if a Θ of 150 °K is assumed. Within the restrictions imposed by the lack of thermodynamic data and the assumption of a point-charge lattice, it is shown that the temperature dependence of the fourth- and sixth-order crystal-field parameters is consistent with the predominance of a splitting mechanism at least quadratic and more probably of fourth power in the crystalline potential. The second-order axial parameter is found to have a temperature dependence which can not be explained in terms of a single mechanism.

Paramagnetic resonance in rare earth ions with an even number of unpaired 4ƒ electrons is discussed with particular reference to experimental results in Pr 3+ , Tb 3+ and Ho 3+ ions in single crystals of the ethyl sulphates. The crystal field theory of Elliott & Stevens is used to interpret the results. Some second-order perturbation mechanisms are considered which give rise to apparent quadrupole and hyperfine structure interactions. The following nuclear data are obtained from these experiments : 141 Pr : I = 5/2 ; │ μ │= 3.92 ± 0.2 n. m. ; 159 Tb : I = 3/2 ; │ μ │= 1.52 ± 0.08 n. m. ; 167 Ho : I = 7/2 ; μ = + 3.29 ± 0.17 n. m. ; Q = + 0.7 ± 0.7 barn.


2007 ◽  
Vol 62 (5-6) ◽  
pp. 343-346 ◽  
Author(s):  
Hui-Ning Dong ◽  
Shao-Yi Wu ◽  
David J. Keeble

The electron paramagnetic resonance parameters g‖ and g⊥ of Dy3+, and the hyperfine structure parameters A‖ and A⊥ of 161Dy3+ and 163Dy3+ in a La2Mg3(NO3)12 · 24H2O crystal are calculated by the perturbation formulas of the EPR parameters for a 4f9 ion in trigonal symmetry. In these formulas, the J-mixing among the 6HJ (J = 15/2, 13/2 and 11/2) states via crystal-field interactions, the mixtures of the states with the same J-value via spin-orbit coupling interaction and the interactions between the lowest Kramers doublet Γγ and the same irreducible representations in the other 20 Kramers doublets ΓX via the crystal-field and orbital angular momentum (or hyperfine structure) are all considered. The crystal-field parameters for the studied Dy3+ center are obtained with the superposition model. The calculated results are in good agreement with the observed values.


2021 ◽  
Vol 76 (4) ◽  
pp. 299-304
Author(s):  
Fu Chen ◽  
Jian-Rong Yang ◽  
Zi-Fa Zhou

Abstract The electron paramagnetic resonance (EPR) parameters (g factor g i , and hyperfine structure constants A i , with i = x, y, z) and local structures for Cu2+ centers in M2Zn(SO4)2·6H2O (M = NH4 and Rb) are theoretically investigated using the high order perturbation formulas of these EPR parameters for a 3d 9 ion under orthorhombically elongated octahedra. In the calculations, contribution to these EPR parameters due to the admixture of d-orbitals in the ground state wave function of the Cu2+ ion are taken into account based on the cluster approach, and the required crystal-field parameters are estimated from the superposition model which enables correlation of the crystal-field parameters and hence the studied EPR parameters with the local structures of the Cu2+ centers. Based on the calculations, the Cu–H2O bonds are found to suffer the axial elongation ratio δ of about 3 and 2.9% along the z-axis, meanwhile, the planar bond lengths may experience variation ratio τ (≈3.8 and 1%) along x- and y-axis for Cu2+ center in (NH4)2Zn(SO4)2·6H2O and Rb2Zn(SO4)2·6H2O, respectively. The theoretical results show good agreement with the observed values.


2005 ◽  
Vol 866 ◽  
Author(s):  
David Carey

AbstractThe g values of rare earth ions obtained from either paramagnetic resonance or Zeeman measurements are often used to interpret the location and/or environment surrounding rare earth ions. In the case of centres with cubic symmetry the g value can be used to distinguish between substitutional and interstitial sites. For centres with less than cubic symmetry the average g value, taken as 1/3 trace of the g tensor, is often used as an indication of the lattice location and/or a measure of the strength of the local crystal field. This approach is widely used but is based on the assumption that the non-cubic terms in the total crystal field potential are small compared with the cubic crystal field. In this paper we have explored this assumption by calculating the principal g values in axial crystal fields for the Er3+ ion. We examine the limits over which the average g value approach is valid. Comparison is made with published results.


2004 ◽  
Vol 59 (6) ◽  
pp. 341-345 ◽  
Author(s):  
Shao-Yi Wu ◽  
Hui-Ning Dong

The electron paramagnetic resonance (EPR) g factors g‖ and g⊥ for Er3+ in CaMoO4 are theoretically investigated by using the perturbation formulas of the g factors for a 4f11 ion in tetragonal symmetry. In these formulas, the contributions to the g factors arising from the second-order perturbation terms and the admixture of various states are considered. The crystal-field parameters for the tetragonally distorted tetrahedra are determined by using the superposition model and the structural data of the impurity Er3+ on the host Ca2+ site in CaMoO4. The calculated g factors agree with the observed values. The validity of the results is discussed.


The theory that has been developed for rare-earth ions in crystals is here applied to the double nitrates. The paramagnetic resonance data and certain spectroscopic properties of the different rare-earth double nitrates, depending as they do on the crystalline electric field at a rare-earth ion, are related to the six parameters through which the field is defined. It is found that most of the experimental results can be fitted to values of the parameters that vary in a systematic fashion along the rare-earth series.


1996 ◽  
Vol 10 (29) ◽  
pp. 1471-1476
Author(s):  
MIRCEA ANDRECUT

The temperature dependence of the second-order crystalline electric field (CEF) parameters of rare earth intermetallic compound CeZn 2 was deduced from the least-squares nonlinear fit to the reciprocal paramagnetic susceptibility along principal crystalline axes. The results of the calculation are in good agreement with the experimental values.


1973 ◽  
Vol 28 (7) ◽  
pp. 1131-1135
Author(s):  
E. Koglin

The luminescence behaviour of crystalline K3CrF6 is measured in the temperature range from 100 °K to 4.2 °K. The complex shows a very strong, broad fluorescence emission at temperatures lower than 20 °K. additionally also the phosphorescence transition can be observed. At temperatures higher than 20 °K only fluorescence is measured. The 2E→4A2-transition does not split suggesting Oh-site symmetry.Excitation- and luminescence spectra at 4.2 °K are the basis for a calculation of the energy eigenvalues. The crystal field parameters are fitted by the experimental data. The vibrational sidebands of the electronic transitions 2E - 4A2 an 4T24A2 are compared with Raman- and IRresults. From the temperature dependence and measured vibrational frequencies the zero phonon transitions of fluorescence and phosphorescence can be found


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