Paramagnetic resonance in diluted copper salts I. Hyperfine structure in diluted copper Tutton salts

The principal values of the g-tensor and the hyperfine structure (due to interactions with the magnetic dipole and electric quadrupole moments of the stable copper isotopes) have been determined in several copper Tutton salts diluted with the isomorphous zinc salts. At high dilution the residual line width is mainly due to interaction with the nuclear magnetic moments of the protons in the water of crystallization, and increased resolution is obtained by replacing these by deuterons. Crystals of the diluted copper potassium salt have been grown from heavy water, and a detailed study made of the electric quadrupole interaction.

Accurate measurements of the paramagnetic resonance spectra of gadolinium and neodymium ethyl sulphates have been made both in strong magnetic fields at a wave-length of 3 cm, and in weak fields at wave-lengths between 6 and 22 cm. (i) The Gd 3+ ion is in an 8 S state, whose levels are split by the action of the crystalline electric field, which is assumed to have C 3 h symmetry. The results are consistent with this supposition, except for some discrepancies in the position of the zero field lines, whose origin is not certain. The main parameters in the spin Hamiltonian are evaluated, and the spectroscopic splitting factor is found to be isotropic at 1.990±0.002. (ii) The Nd 3+ ion is in a 4 I 2/3 state, which is split by the crystal field leaving a Kramers doublet as the ground state. The hyperfine structure due to the two odd isotopes 143, 145 has been measured and gives the ratio of the nuclear magnetic moments (143/145) as 1.6083±0.0012. Some small discrepancies in the positions of the hyperfine lines in zero field are found, which prevent the determination of accurate values of the nuclear electric quadrupole interaction. The theory of Elliott & Stevens (1953 b ) leads to values of 1.0 and 0.62 nuclear magnetons for the moments of isotopes 143 and 145 respectively, with an uncertainty of about ±25% arising from lack of a precise value for r –3 ¯¯¯ , where r is the electron-nuclear distance.


An interesting transition in the paramagnetic resonance spectrum has been observed for a number of cupric salts with trigonal symmetry. At room temperature only a single nearly isotropic line is observed, with a small hyperfine structure. Below a certain temperature, which depends on the salt, the spectrum is that of three kinds of copper ion each with nearly axial symmetry about one of three mutually perpendicular directions. The behaviour of this spectrum is similar to that of the copper Tutton salts in the anisotropy of the (/-tensor and magnetic hyperfine structure, and in the presence of a nuclear electric quadrupole interaction. A careful analysis of the spectrum is made for (Cu, Mg) 3 La 2 (NO 3 ) 12 .24D 2 O.


The previous theory of Abragam & Pryce (1951) is extended to a special case of rhombic symmetry, and to include higher-order terms. The theory gives satisfactory agreement between the observed anisotropies of the g -tensor and the magnetic hyperfine structure, and shows that the size of the hyperfine structure is about 15 % smaller than would be expected on the assumption that the magnetic electron is confined to the copper ion. Comparison with the optical absorption spectrum suggests that the spin-orbit coupling is reduced by about the same amount, and the effects are explained by an overlap of the wave function of themagnetic electron on to neighbouring water molecules. The nuclear electric quadrupole moments are found to be (in units of 10 -24 cm 2 ) ; 63 Cu, — 0.16; 65 Cu, — 0.15, with an estimated maximum error in the theory of 20 % .


1996 ◽  
Vol 54 (3) ◽  
pp. 1027-1037 ◽  
Author(s):  
C. König ◽  
B. Hinfurtner ◽  
E. Hagn ◽  
E. Zech ◽  
R. Eder

1967 ◽  
Vol 158 (4) ◽  
pp. 1078-1084 ◽  
Author(s):  
Paul A. Vanden Bout ◽  
Vernon J. Ehlers ◽  
William A. Nierenberg ◽  
Howard A. Shugart

The trivalent europium ion has a ground manifold 4f 6 , 7 F, in which the lowest state is J = 0, some 360 cm -1 below the first excited state J = 1. The two stable isotopes of mass 151, 153 each have nuclear spins I = 5/2. Experiments to determine the hyperfine structure are discussed in the preceding paper I; a further alternative is the use of acoustic waves. These have no direct interactions with the nuclear magnetic moments, but absorption arises through modulation of the electronic contributions to the hyperfine splittings. Nuclear electric quadrupole interactions are larger than magnetic interactions, and modulation of the electric field gradient of the lattice is expected to give a stronger effect.


2002 ◽  
Vol 57 (6-7) ◽  
pp. 591-594
Author(s):  
P. Thakur ◽  
M. S. Behra ◽  
R. Dogra ◽  
A.K. Bhati ◽  
S. C. Bedi

The time differential perturbed angular correlation (TDPAC) technique has been used to study the nuclear quadrupole interactions of the first excited state of ground state rotational band (2+, 80 keV, T1/2 = 1.88 ns) and the band head of the = 41- band (41-,1094 keV, T1/2 = 120 ns) in the 168Er nucleus of a polycrystalline Er host. At room temperature we obtained the electric quadrupole interaction frequencies ω0(K= 0) = 457(15) Mrad/s and ω0(K= 4) = 69(2) Mrad/s, respectively, for the 2+ and 4- isomeric states of 168Er. The ratio of the spectroscopic quadrupole moments, i. e. Qs (K= 4)/Qs (K= 0) = 0.69(3), is independent of any model approximation and the electric field gradient at 168Er in the host metal


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