Magnetostriction in the vicinity of spin-reorientation phase transitions in singlecrystal DyFe11Ti

The field, temperature, and angular dependences of longitudinal λ_‖ and transverse λ_⊥ magnetostriction in single-crystal DyFe₁₁Ti are investigated. Tensometric measurements were made in the temperature range from 78 to 300 K in magnetic fields up to 12 kOe. Measurements of the magnetostriction of single-crystal DyFe₁₁Ti, YFe₁₁Ti, and LuFe₁₁Ti imply that the sublattice of 3d transition metals makes only a small contribution to the magnetostriction in compounds RFe₁₁Ti, and that the primary contribution to the magnetostriction of these compounds comes from the rare-earth metal sublattice. The primary microscopic mechanism for magnetostriction is single-ion magnetostriction caused by the interaction of the anisotropic orbital electron cloud around the Dy³⁺ magnetic ion with the crystal field of the lattice. Fiz. Tverd. Tela (St. Petersburg) 41, 1647–1649 (September 1999)     

Effect of pressure and interstitial atoms on magnetic properties of LuFe11Ti Intermetallics

Magnetisation and magnetocrystalline anisotropy of the LuFe₁₁Ti intermetallics have been studied under pressure up to 1.2 GPa in temperatures from 5 K to 350 K using a miniature CuBe pressure cell and a SQUID magnetometer. A decrease of Fe-moment under pressure is compatible with the increase of Fe-moment in hydride and nitride of LuFe₁₁Ti. A complex dependence of magnetocrystalline anisotropy on volume of the elementary crystal cell of LuFe₁₁Ti and its hydride and nitride has been observed.     

Effect of hydrogenation on spin-reorientation phase transitions and magnetic anisotropy constants of RFe11Ti single crystals (R=Lu, Ho, and Er)

The magnetic anisotropy and spin-reorientation phase transitions in single crystals of the RFe₁₁Ti (R=Lu, Ho, and Er) compounds and their hydrides are investigated. Measurements are carried out on capacitance and torque magnetometers. The magnetic anisotropy constants K ₁ and K ₂ are determined by the mathematical processing of experimental magnetization curves in terms of the phenomenological theory of the anisotropic ferromagnet magnetization. It is demonstrated that the hydrogenation strongly affects the magnitude and the sign of magnetic anisotropy constants, as well as the spin-reorientation phase transitions. The hydrogenation of the HoFe₁₁Ti compound leads to the change in sign of the magnetic anisotropy constant K ₁. The inference is made that a change in the atomic volume and the axial ratio c/a cannot result in the observed effects. A change in the magnetic anisotropy constants upon hydrogenation is primarily due to the change in the interaction of the quadrupole moment of a 4f electron subshell of rare-earth ions with surrounding ions of the crystal lattice and also with valence and conduction electrons.     

Spin-reorientation transitions and domain structure in TbFe<Subscript>11−<Emphasis Type="Italic">x</Emphasis></Subscript> Co<Subscript>x</Subscript>Ti single crystals

The magnetic structure of single-crystal TbFe_11?xCo_xTi compounds has been studied over a broad temperature range and in strong magnetic fields (up to 14 T). Measurements of magnetization and magnetostriction and a study of the domain structure revealed that spin-reorientation transitions (SRTs) in TbFe_11?xCo_xTi single crystals depend substantially on the cobalt concentration. It was established that the SRT temperatures and threshold magnetic fields are governed by the interplay between the magnetic anisotropies of the 3d and terbium sublattices. It is shown that, in these compounds, the low-temperature phase with planar anisotropy is separated in temperature from the high-temperature phase with uniaxial anisotropy by an intermediate metastable phase containing domains of the uniaxial or planar phase.     

Magnetic anisotropy in multilayers

Magnetic anisotropy between in-plane and out of plane magnetic alignments is studied in a variety of multilayer systems using Mössbauer spectrosopy to observe the (Fe) magnetic orientation. The surface anisotropy in Fe/Au (1 1 1) multilayers is measured as K _s = 0.9 × 10^?3 Jm^?2. In Fe/Ni multilayers the dependence of magnetic orientation on external field applied normal to the layers enables volume and interface anisotropies K _v = (?5 ± 1) × 10⁴ Jm^?3 and K _s = (?0.6 ± 0.4)× 10^?3 Jm^?2 to be evaluated. In similar applied field experiments coherent rotation of the magnetic Fe and NiFe layers in Fe/Cu/NiFe/Cu multilayers was observed for intervening Cu layer thickness x = 5 Å but independent rotation for x = 50 Å. Out of plane magnetic components are observed for DyFe₂, YFe₂ thin films and DyFe₂/YFe₂ multilayers. In fields of up to 0.25 T applied inplane only the moments of the YFe₂ film showed significant rotation.     

Magnetic properties of erbium iron garnet in high magnetic fields up to 150kOe

The magnetic properties of single crystals of erbium iron garnet (ErIG) were studied in applied fields up to 150kOe between 1.4 and 300K. At low temperature, the macroscopic easy direction of the bulk magnetization is [100]; below the compensation temperature (80±2K), the magnetization presents non-linear field evolution. On the assumption of an isolated ground doublet, the anisotropy constantsK _i (i=1,2) of ErIG are given byK _i (Er)+K _i (YIG); theK _i are calculated as a function of theG andg tensor components. It is worthwhile noting that theK _i (Er) are strongly temperature dependent; so at low temperature the anisotropy of the garnet is determined by the rare earth ions, while in the 50 K regionK ₁(Er) becomes comparable toK ₁(YIG) with the opposite sign which results in a very weak anisotropy of the garnet. Above 50 K,K ₁(YIG) is predominant and the Fe³⁺ ions determine the garnet anisotropy.     

Solid-state reactions in Ga/Mn thin films: Formation and magnetic properties of the ϕ-Ga<Subscript>7.7</Subscript>Mn<Subscript>2.3</Subscript> phase

Experimental results concerning the solid-state synthesis of the ϕ-Ga_7.7Mn_2.3 phase in Ga/Mn thin films are presented. A ferromagnetic (or ferrimagnetic) state is observed in the samples annealed at temperatures above 250°C. The X-ray diffraction studies demonstrate the formation of the ϕ-Ga_7.7Mn_2.3 phase, which is poly-crystalline being grown on glass substrates and exhibits the preferential cube-on-cube orientation on MgO(001) substrates. A strong dependence of the perpendicular anisotropy constant K _⊥ and of the effective biaxial anisotropy constant K ₁^eff on the magnetic field H has been found. Owing to such dependence, the easy axis of magnetization lying in the plane of the film changes its direction approaching the film normal when the increasing magnetic field exceeds 8 kOe. The anomalous behavior of K _⊥ and K ₁^eff constants is explained both by the in-plane stresses arising in the course of the formation of the ϕ-Ga_7.7Mn_2.3 phase and by the direct dependence of magnetostriction constants on the magnetic field. For the ϕ-Ga_7.7Mn_2.3 phase, the saturation magnetization M _S has been determined and the first magnetocrystalline anisotropy constant K ₁ has been estimated.     

Specific features in thermal expansion of <Emphasis Type="Italic">R</Emphasis>Fe<Subscript>11</Subscript>Ti single crystals

Thermal expansion and its anomalies in the vicinity of spin-reorientation phase transitions in single crystals of RFe₁₁Ti (R=Y, Tb, Dy, Ho, and Er) compounds are investigated by the tensometric technique in the temperature range 77–400 K. The temperature dependences of the thermal expansion coefficient α(T) are obtained. It is found that the YFe₁₁Ti and HoFe₁₁Ti uniaxial magnetic materials exhibit pronounced anomalies in the α coefficient at T=200 and 290 K. For the TbFe₁₁Ti single crystal, the α coefficient is close to zero in the vicinity of the spin-reorientation phase transition (at T=325 K). For the DyFe₁₁Ti single crystal, which is characterized by two spin-reorientation phase transitions (at T=120 and 250 K), no features in the α(T) dependence are revealed in the region of the low-temperature spin-reorientation phase transition. In the ErFe₁₁Ti single crystal, the specific feature of thermal expansion is observed at T ～ 220 K.     

过渡族金属替代元素M对YFe11M系统的磁性质的影响

基于密度泛函理论(DFT),采用线性缀加平面波展式结合改进的局域轨道方法(APW+lo),对具有ThMn₁₂结构的永磁材料YFe₁₁M(M=Sc,V等)的结构和磁性进行了计算和分析.探讨了过渡族金属替代元素M在YFe₁₁M中系统的最佳可能占位.讨论了不同替代元素M对YFe₁₁M系统的磁性质的影响. 关键词： 11M')" href="#">YFe₁₁M 密度泛函 晶体结构 磁矩     

Magnetic anisotropy and magnetostriction in a Lu2Fe17 intermetallic single crystal

The magnetic anisotropy and magnetostriction of a Lu₂Fe₁₇ single crystal are investigated. The temperature dependence of the magnetic anisotropy constant K ₁ is measured in the range 4.2–300 K. The results obtained are compared with the data calculated using the Callen theoretical formula. It is found that the temperature dependence of K ₁ for the Lu₂Fe₁₇ single crystal deviates from the temperature curve predicted by the localized single-ion model. The inference is drawn that a certain contribution to the magnetic anisotropy of the Lu₂Fe₁₇ compound is made by the magnetic anisotropy of band electrons. The longitudinal, transverse, and volume magnetostrictions of the Lu₂Fe₁₇ single crystal are studied, and the magnetostriction constants are calculated. It is demonstrated that the exchange integral of Lu₂Fe₁₇, as for the Y₂Fe₁₇ compound, substantially depends on the atomic volume. This dependence is responsible for the considerable difference between the Curie temperatures of the Lu₂Fe₁₇ and Y₂Fe₁₇ compounds. It is revealed that the magnetostriction of the Lu₂Fe₁₇ single crystal in the temperature range of the magnetic phase transition is determined by the two-ion exchange and single-ion contributions.     

Hydrogen absorption and its effect on the magnetic properties of rare-earth iron intermetallics

X-ray diffraction studies of the hydrogen absorption in several YFe and CeFe intermetallic compounds showed that no structural changes occur upon hydrogen absorption in Y₆Fe₂₃, YFe₃, YFe₂. The lattice constants of the hydrides were found to be appreciably larger than those of the pure intermetallic compounds. The magnetic properties of the hydrides were determined and compared with the original compounds. In all cases the magnetic moment per Fe atom proved to be much larger in the hydride phases. Hydrogen absorption can lead to a decrease as well as to an increase of the magnetic ordering temperature (T_c). These changes in T_c could adequately be explained in terms of the observed increases in lattice constant and the data available for the pressure derivative of T_c of these compounds.     

Investigation of the magnetic properties and magnetic structure parameters of nanocrystalline Fe<Subscript>79</Subscript>Zr<Subscript>10</Subscript>N<Subscript>11</Subscript> films

The magnetic properties (magnetization curve, ferromagnetic resonance spectrum) of nanocrystalline Fe₇₉Zr₁₀N₁₁ films obtained by RF magnetron sputtering with subsequent annealing were studied experimentally, along with the fundamental magnetic constants of these films (saturation magnetization M _S, local magnetic anisotropy energy K, and the exchange coupling constant A). The magnetic properties are discussed within the random magnetic model, which determines the correlation of the magnetic properties with the fundamental magnetic constants and nanostructure parameters (grain size, magnetic anisotropy, and correlation radius R _C). The exchange correlation length 2R _L for the film magnetic microstructure was determined by correlation magnetometry.     

Field dependent specific heat and longitudinal magnetization of the quantum magnet layer Cs2CuCl4: Anisotropy effects

We have addressed the specific heat and magnetization of an anisotropic spin-1/2 triangular Heisenberg antiferromagnet Cs₂CuCl₄ in the presence of magnetic field at finite temperature. We have investigated the behavior of thermodynamic properties by means of excitation spectrum in terms of a hard core bosonic representation. The effect of in-plane anisotropy on thermodynamic properties has also been studied via the bosonic model by Green’s function approach. This anisotropy is considered for exchange constants that couple spin components perpendicular to magnetic field direction. We have found the temperature dependence of the specific heat and longitudinal magnetization in the gapped field induced spin-polarized phase for various magnetic fields and anisotropy parameters. Furthermore we have studied the magnetic field dependence of specific heat and magnetization for various anisotropy parameters. Our results show temperature dependence of specific heat includes a peak so that its temperature position goes to higher temperature with increase of magnetic field. We have found the magnetic field dependence of specific heat shows a monotonic decreasing behavior for various magnetic fields due to increase of energy gap in the excitation spectrum.     

On the magnetocrystalline anisotropy of nickel-iron ferrites

In order to determine regularities in the temperature dependence of the magnetocrystalline anisotropy of nickel-iron ferrites, studies of single-crystal spheres of these ferrites of various compositions were made by the torque method. It was established that the function K₁ (T) is affected by the presence of ions of bivalent iron (the presence of cobalt ions in the samples or in the charge was not detected by either chemical or x-ray methods). In the absence of ions of bivalent iron, K₁ decreases in absolute value with rise in temperature, always remaining negative. With increased concentrations of Fe² ions, K₁ can have a positive sign at high and low temperatures, and a negative sign in the intermediate temperature range.The function K₁(T) is affected by initial brief high-temperature (900 ° C, 2 hr) and prolonged low-temperature (300–350 ° C, 2 days) heat treatment of the single crystals. It was established that the heat treatments also affect other magnetic and electric properties of the single crystals studied.     

A method for determination of higher-order magnetic anisotropy constants — Importance of the cubic K3 and K4 for certain energy levels models

A method for determination of magnetocrystalline anisotropy constants of arbitrary order is proposed. The method is based on a least squares fitting of a phenomenological anisotropy energy for a given symmetry truncated at an arbitrary order term to a theoretical anisotropy energy computed exactly for a given energy level model. Several applications of the method to cubic systems are considered. The study reveals that the widely used expressions in the literature for the cubic constants K₁ and K₂ in terms of free energy for the three symmetry direction are of rather limitedvalidity only. The higher-order cubic constants K₃, K₄ and K₅ are determined besides the usual K₁ and K₂ in temperature range 0 to 300 K. The importance of the higher- order terms with respect to the first term in the cubic anisotropy energy is discussed. The results show that the cubic constants K₃ and K₄ cannot be neglected for most of the energy level models studied at certain temperatures.     

Temperature characteristics of magnetic crystallographic anisotropy constants in single crystals of lithium and lithiumcobalt ferrites

The results of measurements of the temperature dependence of the first and second magnetic anisotropy constants In single-crystal lithium ferrite, and of the first magnetic anisotropy constant and the induced uniaxial anisotropy constant in single-crystal lithium-cobalt ferrite are reported. A ferromagnetic resonance method at 9375 Me was used. An explanation, based on the single-ion theory, is put forward for the temperature dependence of the first magnetic anisotropy constant in single-crystal lithium-cobalt ferrites.The authors are grateful to S. M. Zhilyakov and A. N. Elsukov for their help in the static measurements of anisotropy constants and to G. E. Pashneva for carrying out the chemical analysis of the ferrites.     

Giant muon knight shifts in antimony and antimony alloys

The Knight shift K_μ at the positive muon has been measured as a function of magnetic field, temperature, crystal orientation and alloyed impurity (bismuth or tin) in antimony. The anomalously large and anisotropic K_μ in pure Sb at low temperature has been confirmed and shown to be independent of magnetic field up to 9 kG; its anisotropic part is found to have the same strong temperature dependence as its isotropic component. The addition of 6.3 at.% Bi significantly reduces both K_μ and its anisotropy, but enhances their temperature dependence. The addition of 12.5 at.% Bi, or, more dramatically, as little as 0.3 at.% Sn to antimony is sufficient to reduce K_μ to a small value, effectively eliminating the anomalous behaviour.     

The magnetic anisotropy of cold-rolled and as-quenched amorphous (Fe1−x Ni x )78Si10B12 alloy systems

In order to make clear the origin of magnetic anisotropy of amorphous alloys produced by a single roller quenching method, the composition dependence of the in-plane magnetic anisotropy of cold-rolled and as-quenched amorphous (Fe₁− _x Ni _x )₇₈Si₁₀B₁₂ alloy systems was studied at room temperature. The twofold in-plane magnetic anisotropy constantK _u of cold rolled and as-quenched specimen decreases with increase inx at the Fe-rich side, and increases drastically at aboutx=0.2. Beyondx=0.25,K _u decreases gradually with further increase inx. From this study, it is emphasized that there is a clear correspondence between the atomic ratio of Fe to Ni at which the anomaly in magnetic anisotropy of the amorphous alloy occurs and the position of the fcc/bcc phase boundary in the Fe−Ni metal alloy system.     

R2Fe14B(R=Ce,Pr,Gd)磁晶各向异性常数K1,K2随温度的变化

本文在1.5—300K温度范围内测量了R₂Fe₁₄B(R=Ce,Pr,Gd)各向异性常数K₁,K₂和各向异性场H_A随温度的变化。同时用单离子模型计算了Pr³⁺离子对Pr₂Fe₁₄B磁晶各向异性的贡献,得到与实验值半定量符合的结果。 关键词：     

Nitrogen-containing compounds <Emphasis Type="Italic">R</Emphasis>Fe<Subscript>11</Subscript>TiN<Subscript>x</Subscript> (<Emphasis Type="Italic">R</Emphasis> = Gd or Lu)

The structure and magnetic properties of RFe₁₁TiN compounds (R=Gd or Lu) containing nitrogen are investigated. Magnetic measurements are performed on a magnetometer in magnetic fields up to 100 kOe in the temperature range from 4.2 to 750 K with the use of RFe₁₁TiN single crystals, RFe₁₁TiN powders placed in a ceramic cell, and samples oriented in an external magnetic field. It is found that the nitridation leads to an increase in the Curie temperature and the saturation magnetization. The samples studied are uniaxial over the entire temperature range of magnetic ordering. The magnetic anisotropy decreases upon nitridation. It is demonstrated that, within the local anisotropy model, the decrease in the magnetic anisotropy constant K₁ can be explained by the redistribution of the electron density in the vicinity of the crystallographic positions occupied by iron atoms.