Investigation of states in 30P via the 30Si(3He,t)30P reaction at 30 MeV

The ³⁰Si(³⁰He, t)³⁰P reaction has been measured for about 100 levels in ³⁰P with E_x < 8.8 MeV. Little selectivity in the population of states has been observed. For 75 levels angular distributions have been analysed using a “fingerprint method” by determining the L-value from a comparison in shape with transitions to states with known J^π. For possible mixed L-transitions a dominance of the higher L-value is observed for almost all cases. Coulomb displacement energy calculations utilizing shell-model wave functions have been used to identify T = 1 states.     

Foldy-Wouthuysen transformations for any spin

We give the generalized Foldy-Wouthuysen transformation for any 2(2J + 1)-component Poincaré-invariant Hamiltonian theory that describes free massive spin-J particles and that is subject to the conditions: (a) every observable $\text{O}$ is either Hermitian ($\text{O}$ = $\text{O}$⁺) or pseudo-Hermitian ($\text{O}$ = ?₃$\text{O}$⁺?₃) and (b) the theory is invariant under the discrete symmetries. The requirement that the Hamiltonian be defined in the rest frame specifies one and only one boost generator that is also defined at p = 0.     

On the cause for the no spin-gap behavior of the triangular spin tube system CsCrF4

The spin exchange interactions of the triangular spin tube system CsCrF₄ were evaluated by performing mapping analysis on the basis of density functional theory calculations. Our results show that the exchange J₁ for the triangular ring and the exchange J₂ along the chain are both antiferromagnetic with the ratio J₁/J₂≈0.5, so the spin gap of CsCrF₄ is too small to be experimentally detected. This finding is consistent with the experimental observation and theoretical analysis. The possible ways of preparing a triangular spin tube with observable spin gap was discussed.     

Measurement of Δ1J(199Hg, 31P) in [HgPCy3(OAc)2]2 and relativistic ZORA DFT investigations of mercury–phosphorus coupling tensors

Using ³¹P solid-state NMR spectroscopy, anisotropy in the indirect ¹⁹⁹Hg-³¹P spin–spin coupling tensor (ΔJ) for powdered [HgPCy₃(OAc)₂]₂ (1) has been measured as 4700±300 Hz. Zeroth-order regular approximation (ZORA) density functional theory (DFT) calculations, including scalar and spin-orbit relativistic effects, performed on 1 and a series of other related compounds show that ΔJ(¹⁹⁹Hg, ³¹P) arises entirely from the ZORA Fermi-contact–spin-dipolar cross term. The calculations validate assumptions made in the spectral analysis of 1 and in previous determinations of ΔJ in powder samples, namely that J is axially symmetric and shares its principal axis system with the direct dipolar coupling tensor (D). Agreement between experiment and theory for various ¹⁹⁹Hg, ³¹P spin–spin coupling anisotropies is reasonable; however, experimental values of ¹J(¹⁹⁹Hg, ³¹P)_iso are significantly underestimated by the calculations. The most important improvements in the agreement were obtained as a result of including more of the crystal lattice in the model used for the calculations, e.g., a change of 43% was noted for ¹J(¹⁹⁹Hg, ³¹P)_iso in [HgPPh₃(NO₃)₂]₂ depending on whether the two or three nearest nitrate ions are included in the model. Finally, we have written a computer program to simulate the effects of non-axial symmetry in J and of non-coincidence of the J and D on powder NMR spectra. Simulations clearly show that both of these effects have a pronounced impact on the ³¹P NMR spectrum of ¹⁹⁹Hg–³¹P spin pairs, suggesting that the effects should be observable experimentally if a suitable compound can be identified.     

Nuclear quadrupole coupling in chloroform and calibration of ab initio calculations

The complex hyperfine structures in the J = 1 ← 0, and J = 2 ← 1 ground state rotational transitions of ³⁵Cl₃CH and ³⁵Cl₂³⁷ClCH were resolved and measured at conditions of supersonic expansion. Accurate spectroscopic constants for the two isotopomers have been derived from global fits of the hyperfine structure together with hyperfine-free high-J millimetre wave data. The complete inertial and principal quadrupole tensors of the chlorine nuclei have been determined, and the symmetric top treatment for ³⁵Cl₃CH and the asymmetric top treatment for ³⁵Cl₂³⁷ClCH yield identical results for the principal tensor components of the ³⁵Cl nucleus. The availability of precise experimental splitting constants for many molecules allows benchmarking of ab initio field gradient calculations, and it is found that for the chlorine nucleus optimum predictive performance for molecules of moderate size is obtained at the B3LYP/aug-cc-pVDZ level by using a scaling factor of 1.0619(23).     

Measurements of theg J -factors of12C in the3 P 1 and3 P 2 states

Using the atomic beam magnetic resonance method the Zeeman interactions of¹²C in the³ P ₁ and³ P ₂ states at magnetic fields of about 3.4 kOe have been measured. The measured quantities areg _J (³ P ₁)?g_J(³ P ₂)=15.4(1.0)·10^?6 g _J (³ P ₂)=1.5010616 (50), from which the following value for g_J(³P₁) can be calculated:g _J (³ P ₁)=1.5010770 (50). The experimental results are in moderate agreement with theoretical calculations.     

Note on the perturbation calculation of the spin correlation function of dilute magnetic alloys

Using graphical perturbation technique, nonoscillatingJ ²/r ³ andJ ³lnk _Fr/r³-contributions for the spin correlation function of dilute magnetic alloys are calculated. The results are in complete agreement with Müller-Hartmann's results, based on the exact solution of the Nagaoka equations.     

Glass composition dependence of Eu ion red fluorescence

Eu³⁺ ion-doped B₂O₃-, SiO₂-, and P₂O₅-based glasses were prepared by the melt-quenching method, and their absorption, fluorescence, and excitation spectra were recorded and assigned. The glass composition dependence of the fluorescence was investigated to obtain the high brightness of the red fluorescence due to the ⁵D₀→⁷F₂ transition of the Eu³⁺ ion. The integrated intensity of the red fluorescence was the strongest at the Eu₂O₃ concentration of 3.5 mol% because the cross-relaxation (CR) processes, (⁵L₆→⁵D_J^′)→(⁷F_J^*←⁷F_J^#) and (⁵D_J→⁵D_J^′)→(⁷F_J^*←⁷F_J^#) (3≧J>J′≧0, 6≧J^*>J^#≧0) between the Eu³⁺ ions were promoted, but the CR processes, (⁵D₀→⁷F_J^′)→∑_m(⁷F_J^*←⁷F_J^″)_m (6≧J′≧0, 6≧J^*>J^″≧0), between the excited Eu³⁺ ion at the ⁵D₀ level and m ions of Eu³⁺ in the ⁷F_J^″ levels were depressed. The former CR processes, (⁵L₆→⁵D_J^′)→(⁷F_J^*←⁷F_J^#) and (⁵D_J→⁵D_J^′)→(⁷F_J^*←⁷F_J^#) were enhanced in the host glasses consisted of the cations with small ionic radius. In this study, a 70B₂O₃-30CaO-3.5Eu₂O₃ glass showed the strongest red fluorescence.     

ABMR-Ramsey patterns of strongly field dependent transitions of lithium at high magnetic fields

Using the atomic beam magnetic resonance method we observed Ramsey patterns of strongly field dependent transitions of Li, Na and Rb at high magnetic fields. The structures were of high symmetry, with half widths of the central minimums between 20 kHz and 6 kHz. In a first experiment we determined theg _J -factor ratiog _J (⁶Li)/g _J (⁷Li)=1+3(70)·10^?10.     

Phase transitions and critical properties of the frustrated Heisenberg model on a layer triangular lattice with next-to-nearest-neighbor interactions

The critical behavior of the three-dimensional antiferromagnetic Heisenberg model with nearest-neighbor (J) and next-to-nearest-neighbor (J ₁) interactions is studied by the replica Monte Carlo method. The first-order phase transition and pseudouniversal critical behavior of this model are established for a small lattice in the interval R = |J ₁/J| = 0?C0.115. A complete set of the main static magnetic and chiral critical indices is calculated in this interval using the finite-dimensional scaling theory.     

Comparing the p̅p → K − K + and p̅p → π−π+ reactions

A partial wave amplitude analysis of LEAR data on differential cross sections and analyzing powers of p?p → K ^? K ⁺ has been performed in the range p _lab = 360 ? 1000 MeV/c, and compared to the results from the same observables for p?p → π^?π⁺. Contrary to other analyses we see no compelling evidence of resonance behavior in our amplitudes. However, as we discuss, the resulting amplitudes are not unique since a third observable remains to be measured for both reactions. Another remarkable result is that for p?p → K ^? K ⁺ all our solutions in the momentum interval below 900 MeV/c, only partial wave amplitudes including J _max = 2 are necessary. This upper limit on the angular momentum is smaller than J _max = 3 which is required for the data of the reaction p?p → π^?π⁺ in the same momentum interval. This finding is consistent with a model analysis for data above 1 GeV/c. Annihilation models with short range baryon exchange give too small J ≥ 2 amplitudes and final state ππ and K?K interactions are presumably very important.     

Magnetization reversal in granular thin films

The paper discusses the physics of magnetization reversal in granular magnetic films. It gives an overview of the key physical properties that determine the collective and macroscopically observable magnetization reversal behavior. In particular, the multitude of observable hysteresis loops is reduced to three key physical quantities, namely the single grain switching field distribution D(h_s), the inter-granular exchange coupling constant J_ex, and the magnetostatic interaction constant J_ms. By varying the relative influence of these quantities, many different shapes of hysteresis loops can occur, which is documented by experimental examples. The regime of partially and strongly correlated reversal is discussed in detail, and minor loop measurements are presented that show scaling behavior for strongly correlated magnetization reversal in the vicinity of hysteresis loop criticality.     

Comparative study of the VMI model expressions for the fitting of the rotational spectrum of a single intrinsic wave function

Skyrme's method is used to introduce a correlation coefficient which tells us which of the VMI model expressions should be considered better in the calculation of the projected energies E_J when one uses a single intrinsic wave function for a set of good J-states. As an application of the correlation coefficient, we have shown that out of several VMI model expressions for the energy which have the same overlap with the Hamiltonian, the one having minimum dispersion should be considered to be the best choice. A remark is passed that the Holmberg-Lipas model can also be derived using Bohr and Mottelson's conditions. Numerical calculations are carried out for the nuclei ²⁸Si and ³⁶Ar using Ripka's Hartree-Fock wave functions to compare Holmberg-Lipas model with the one in which one directly expands the energy E_J in powers of J(J + 1), where J is the total angular momentum.     

A note on exchange and crystal field interactions in R2Fe14B compounds: Yb2Fe14B

The R₂Fe₁₄B phase has been found to exist for R=Yb. The magnetic properties presented in this paper complete the characterization of the compounds in this series for which the Stevens α_J coefficient of the R³⁺ ion is positive. ⁵⁷Fe Mössbauer spectroscopy establishes the existence of a magnetization reorientation at 115 K of the type observed in Er and Tm compounds associated with a small Fe magnetization anisotropy. From the neutron diffraction measurements obtained at 4.2 K with and without an applied magnetic field, the easy direction of magnetization was found to be along the [100] direction, in the basal plane of the tetragonal structure. These results show that in all compounds where α_J>0 for the R³⁺ ion, the easy direction of magnetization in the plane is determined by the second order crystal field terms and rare earth-Fe exchange interactions and is independent of the sign of the 4th order crystal field terms.     

Chiral spin liquid in a two-dimensional helical XY magnet with two chiral order parameters

The critical properties of an XY helimagnet on a square lattice with two chiral order parameters are studied by Monte Carlo simulations. This model is a modification of the J ₁-J ₂-J ₃ model with J ₂ = 0. The case of different third range order interactions J ₃ are considered, J ₃ ^a ?? J ₃ ^b . A first order transition is found away from the Lifshitz points 4J ₃ ^a = J ₁ and 4 J ₃ ^b = J ₁. It is pointed out that a chiral spin liquid phase possibly exists near the Lifshitz points.     

Photoluminescence of Eu-doped ZnAl-LDH depending on phase transitions caused by annealing temperatures

An Eu-doped ZnAl-layered double hydroxide (ZnAl-LDH) was synthesized by the coprecipitation method at room temperature. A set of as-prepared samples were subjected to annealing at various temperatures from 100, 200, 300, 500, 600, 700, to 800 °C for 1 h, respectively. The annealed samples were characterized by powder X-ray diffraction (XRD), infrared spectroscopy (IR), scanning electron microscope (SEM), and photoluminescence (PL). New phases occurred with annealing temperatures above 300 °C. Meanwhile, the emissions of Eu³⁺ ions described by ⁵D₀-⁷F_J transition (J=1, 2, 3, 4), especially for the ⁵D₀-⁷F_J transition (J=1, 2), varied with phase transitions of its local host materials from ZnAl-LDH, ZnO, to mixed phases of ZnO and ZnAl₂O₄. The emissions of Eu³⁺ ions depending on its host materials were discussed.     

Effect of temperature and concentration of solution in chemical treatment for MgB2 powder on the Jc–B property of ex situ processed MgB2 superconducting tapes

MgB₂ tapes were fabricated through an ex situ process in a powder-in-tube (PIT) technique using powders treated at elevated temperatures in benzene solutions of benzoic acid with various concentrations. The amount of carbon substitution in MgB₂ in heat-treated tapes with treatment at the boiling points (BPs) of the solutions is smaller than that at room temperature (RT). This carbon substitution improves the J_c property in the high-field region. For RT treatment, the J_c property is improved with increasing the solution concentration. In contrast, the J_c property is deteriorated with increasing the concentration for BP treatment. On the other hand, treatment with pure solvent does not bring about the J_c enhancement and carbon substitution at all at both RT and the BPs. This suggests that acidity essential for the dissolution of MgO layers attached to the surface of MgB₂ is required for carbon substitution. The BP treatment enhances the acting of the acidity and possibly inflicts damage on MgB₂ itself.     

A microscopic analysis of moments of inertia

A microscopic analysis of moments of inertia is performed within the cranked Nilsson model. Special emphasis is put on the second-derivative moment of inertia, J⁽²⁾. Contributions to this from changes of rotational frequency and deformation are separately discussed. A simple expression for the latter is derived and it is for a studied series of Yb isotopes usually found to contribute with less than 10% to the total J⁽²⁾ value. J⁽¹⁾, J⁽²⁾ and J_rigid are calculated as functions of spin at the appropriate equilibrium deformations for the even-even nuclei ^160–176Yb. Variations of J⁽²⁾ with particle number and spin are discussed. Relations between J⁽²⁾ and the deformation are studied in detail, especially in connection with the super-backbending.     

Field-driven reversible doping of a polydiacetylene crystal (DCH)

The dark conductivity of crystalline DCH contacted with a J₂ saturated 0.5 n NaJ electrolytic solution is found to be determined by field-driven, 3eversible doping by J^?/J^?₃ ions penetrating the crystal at negative bias. The maximum conductivity is about $\text{10}{}^{\mathrm{?3}}\text{(Ω cm)}{}^{\mathrm{?1}}$ at a doping level of ≈ 10^?3 mol per base mole DCH.