Theoretical aspects of hyperfine interactions

This work reviews the basics of the theoretical determination of the hyperfine interactions. Starting from the Dirac equation the relevant expressions for the isomer shift, the hyperfine field and the electric field gradient are derived. In the second part examples from band structure calculations are given for Fe₄N as a prototypical system where all features of the pressure dependence of the hyperfine interactions can be demonstrated. This revised version was published online in July 2006 with corrections to the Cover Date.     

Single-photon emission via Raman scattering from the levels with partially resolved hyperfine structure

The probability of emission of a single-photon via Raman scattering of laser pulse on the three-level Λ - type atom in microcavity is studied. The duration of the pulse is considered to be short enough, so that the hyperfine structure of the upper level remains totally unresolved, while that of the lower level is totally resolved. The coherent laser pulse is assumed to be in resonance with the transition between one hyperfine-structure component of the lower atomic level and all hyperfine-structure components of the upper level, while the quantized cavity field is assumed to be in resonance with the transition between the other hyperfine-structure component of the lower level and all components of the upper one. The dependence of the photon emission probability on the mutual orientation of polarization vectors of the cavity mode and of the coherent laser pulse is analyzed. Particularly, the case is investigated, when the total electronic angular momentum of the lower atomic level equals 1/2, which is true for the ground states of alkali atoms employed in the experiments on deterministic single-photon emission. It is shown, that in this case the probability of photon emission equals zero for collinear polarizations of the photon and of the laser pulse, and the probability obtains its maximum value, when the angle between their polarizations equals 60°.     

Anisotropy of hyperfine interactions as a tool for interpretation of NMR spectra in magnetic materials

Approach for interpretation of nuclear magnetic resonance (NMR) spectra in magnetic materials is presented, consisting in employing the anisotropy of hyperfine interaction. The anisotropic parts of hyperfine magnetic fields on ⁵⁷Fe nuclei are calculated ab initio for a model example of lithium ferrite and utilized to assign the experimental NMR spectral lines to iron sites in the crystal structure.     

Beta decay and hyperfine interactions

Experimental searches for the second-class currents and the soft pion effects in the nuclear weak axial currents are discussed. Also discussed are the hyperfine interactions of light interstitial impurities in ferromagnetic Fe and Ni, as well as in fcc and bcc non-magnetic metals. For these spin-ray correlation experiments, it is emphasized that the technical developments and improvements of the nuclear spin control by NMR and the production of polarization in the short-lived nuclear states are vital necessities.     

Stroboscopic observation of quadrupole hyperfine interactions

A stroboscopic technique for the observation of quadrupole hyperfine interactions of isomeric nuclear states has been successfully developed. The inherent precision and resolution of this technique have been demonstrated by measuring the quadrupole hyperfine frequency for ${}^{69}\text{Ge(}\text{9}\text{2}{}^{\mathrm{+}}{}_1\text{, τ = 4.0μ)}$ in Zn metal at several temperatures; ω₀ = [19.67 ± 0.06] × 10⁶s^?1 (at 623 ± 3 K).     

HYSCORE analysis of nitrogen hyperfine interactions

A semiquantitative treatment of hyperfine sublevel correlation spectra of aS=1/2,I=1 spin system is presented. The derived closed analytical expressions allow the determination of components of the dipolar and quadrupolar coupling tensors. The method is applicable if nonsecular terms can be neglected and if canonical orientations of the hyperfine interactions can be selected via a dominantg matrix or hyperfine anisotropy.     

Temperature dependence of F-centre hyperfine interactions

We report the temperature dependence of F-centre Isotropic hyperfine energies for the first shells of KCl, KBr, NaCl, LiF and Lid, and the second shell of KCl. In all cases at least 30 ENDOR data points were taken between 1.3° and 300°K, and the Fermi contact energies were found to adhere closely to a curve of the form a(T) = A + B coth (C/T).The effects of pure lattice expansion may be removed with the aid of high pressure ENDOR data. The remaining temperature dependence can be explained in terms of a configuration co-ordinate model, with the F-electron interacting with a single effective mode of lattice vibration.     

Magnetic hyperfine interactions in GdAl3

We have studied the magnetic hyperfine interactions in GdAl₃ using¹⁵⁵Gd Mössbauer spectroscopy between the temperatures of 4K and 90K. Previous studies on GdAl₃ have shown that antiferromagnetic ordering occurs at 18K, and that a fit of the susceptibility to 1/(T-θ_p) yields a θ_p value of ?89K. The large ratio of θ_p to T_N is indicative of magnetic frustration between competing ferro-and antiferromagnetic interactions, which may be due to a combination of the oscillatory nature of the RKKY interaction and the geometry of the hexagonal lattice. Our studies show that the saturation magnetic hyperfine field at the Gd site is ?24.0 T, with the moments lying in the basal plane. The efg at the gadolinium site is 2.55(1)×10¹⁷V cm^?2 which is considerably larger than the value predicted by a point charge calculation. This difference may indicate that there is a conduction electron contribution. A helical magnetic structure has been calculated from RKKY theory.     

Muon hyperfine interactions in magnetic oxides

Muon spin rotation studies on magnetic oxides among which-Fe₂O₃ and Fe₃O₄ have shown that at temperatures below approximately 500 K the muons form a muon-oxygen bond, analogous to a hydrogen bond. Generally, the muon hyperfine interactions in magnetic oxides can be explained in terms of supertransfer (hyperfine) and dipole fields. Supertransfer fields result from covalent bonding effects. For the rare earth (R) orthoferrite series (RFeO₃) comparison is made with Mössbauer results on covalency effects in hyperfine interactions. Suggestions for next stages of experimentation in solid state research in oxides bySR are mentioned.     

Highly resolved EUV beam-foil spectra of silicon

Spectra of foil-excited ions at tandem energies in the EUV region show many unclassified lines. In order to provide a basis for term analysis, high resolution spectra of Si are taken using a ruled 600 l/mm grating in 3^rd diffraction order and two holographic gratings of 1,200 l/mm resp. 3,600 l/mm in first diffraction order. With the latter grating the resolution power of a 2.2 m grazing-incidence monochromator is sufficient to measure fine-structure splittings of inter-shell transitions of O VI–O VIII and Si X–Si XII in the wavelength rangeλ < 20 nm. The performance of the gratings is demonstrated.     

Evaluation of electric hyperfine interactions inAuFe andCrFe

A detailed analysis of room temperature⁵⁷Fe Mössbauer spectra ofAuFe (5 at.% Fe) andCrFe (5, 10 at.% Fe) samples is presented. The deviation from Lorentzian line shape observed in the spectra indicates both thickness effects and structural disorder in these systems. The thickness effect has been taken into account using a new fitting technique that solves the transmission integral numerically rather than relying on the thin absorber approximation. The present results and analyses using both the thin absorber approximation and the full transmission integral methods on these alloy systems are compared with earlier results obtained on these alloy systems using only the thin absorber approximation.     

Theory of hyperfine interactions in lithiumlike systems

The valence, exchange core polarization and correlation contributions to the magnetic hyperfine constants in the ground states of the lithiumlike ions Be⁺, B²⁺, C³⁺, N⁴⁺, O⁵⁺, F⁶⁺, Ne⁷⁺ and Bi⁸⁰⁺ are investigated using relativistic many-body perturbation theory. Radiative corrections have also been studied. Comparison is made with available experimental data and the trends in the various contributions are analyzed.     

Nuclear hyperfine interactions in spherical top molecules

The nuclear hyperfine Hamiltonian for XY₄ and XY₆ spherical top molecules in their ground electronic state is built up by a tensor method, and is given by a linear combination of invariant tensor products in the group ^L0(3) × G(G = T_d or 0_h); the case when an external magnetic field is applied is also considered. For the study of a given vibrational state, the appropriate restriction is easily determined; as examples were consider the ground vibronic state and a triply degenerate fundamental state.