The voigt-type magneto-kerr effect in cubic semiconductors having ellipsoidal constant energy surfaces

A plane-wave analysis is given for the Voigt orientation of an applied static magnetic field ?B in cubic semiconductors having ellipsoidal constant energy surfaces. The effect is shown to be highly anisotropic with respect to the orientation of ?B (magneto-anisotropy) as well as to the initial polarization direction of the incident wave with respect to ?B (polarization anisotropy). The character and extent of the magneto-anisotropy depends not only on the location of the energy extrema, but on the anisotropy of the energy surfaces and on the energy dependence and anisotropy of the scattering processes.Calculations are given for the cases of propagation along 〈100〉 and 〈110〉 crystallographic directions in n-type germanium. High-field effects and infrared (IR) behavior are considered; however, the low-field quadratic range for microwaves in high-loss material is emphasized. A useful approximation for the high-loss case is given. Particular attention is given to the potential diagnostic applications of the effect.Room-temperature measurements of the Voigt-type Kerr effect for the TE₁₁ circular-waveguide mode at 35 GHz in n-type Ge are presented and compared with plane-wave calculations for propagation along 〈100〉 and 〈110〉 directions. Good quantitative agreement is obtained when the plane-wave calculations are reduced by the same mode-reduction factor as is applicable for the Faraday orientation.     

Anomalous shape of cyclotron resonance line in n-GaP in high magnetic fields

Cyclotron resonance in n-GaP has been observed at 119 μm in pulsed magnetic fields up to 410 kG. From the experiments with the magnetic field parallel to the 〈100〉, 〈110〉 and 〈111〉 axes, it is concluded that the transverse effective mass for electron is and that the anisotropy factor of the conduction band is K = 7.9^+3.2_?2.0. An anomalous shape of the absorption curve was found in the magnetic field directions parallel to the crystal axes 〈110〉 and 〈111〉.     

Nanoridge domains in α-phase W films

Two types of nanoridge domains oriented with each other with an angle ranging between 109° and 124° were measured by scanning tunneling microscopy on the α-W film sputter deposited on an oxidized Si surface. Each domain contains nanoridges with a period of 7.5 ± 1.0 nm. No such domains were observed on the β-W film surface. We argued that due to the anisotropy of the W(1 1 0) surface, the impinging W atoms diffuse faster along the 〈111〉 directions on the surface to form the nanoridge structure. There are two equivalent 〈111〉 directions, which give rise to two orientational domains with an angle of ∼110°. An isotropic β-W(1 0 0) phase has no preferred diffusion direction for the impinging W atoms and therefore, no nanoridge domain structure was observed.     

Free energies of steps on (111) fcc surfaces

For a hexagonal two-dimensional lattice we derive, using a surprisingly simple route, exact expressions for the step free energies along the high symmetry directions, 〈1-10〉 and 〈11-2〉. If we consider only nearest-neighbor interactions, ε, and ignore step overhangs the step free energy vanishes at a temperature . In a more sophisticated model that incorporates step overhangs we find a reduction of T_R to about 0.87ε/k_b. The obtained step free energy expressions are also valid for the free energy of walls between two regions of opposite spins of the triangular 2D Ising system.     

Magnetocrystalline anisotropy of neutron small-angle scattering from an FeNi invar alloy

Small-angle scattering of neutrons from an Fe₆₅Ni₃₅ single crystal with an applied magnetic field parallel to each of 〈100〉, 〈110〉 or 〈111〉 has shown evidence for magnetocrystalline anisotropy.     

Uniaxial stress and polarisation studies of F2 centre luminescence in MgO

Uniaxial stress and polarised luminescence measurements of additively coloured MgO show that the 375 nm luminescence band is associated with pairs of F centres in nearest neighbour sites along 〈110〉 crystal directions (i.e. F₂ centres).     

Single crystal magnetization studies of DySb

High resolution magnetization measurements in single crystal-spherical DySb samples have been performed versus T in fields to 23.6 kOe. Measurements with H along principal crystallographic and 〈11$\text{2}$〉 directions are interpreted in terms of the intermediate metamagnetic phase having the HoP structure. Magnetization components parallel and perpendicular to the applied field for field rotations in (110) and (111) crystallographic planes have been measured and are interpreted in terms of a simple model with a single critical field. For H ∥ 〈110〉, M and H are collinear. The (M - H - T) phase diagram has been determined for H ∥ 〈110〉. The metamagnetic transition is 1st order below a critical point P_c = (8.5 K, 14.7 kOe) becoming 2nd order above. Field induced order for T >T_N is observed in agreement with the results of Brun et al. The absence of hysteresis in M_∥(θ) for H in (110) and (111) planes is interpreted as evidence for the tunneling model in DySb.     

基于MeshTV界面重构算法的二元合金自由枝晶生长元胞自动机模型

本文基于MeshTV界面重构算法, 发展了二元合金凝固自由枝晶生长的元胞自动机 (cellular automaton, CA) 模型. 通过采用MeshTV界面重构算法, 在细化的界面元胞内重构出了固液界面的位置. 在此基础上, 发展了一种同时适合描述纯物质与合金凝固界面生长的动力学模型. 与非界面重构的CA模型相比, 本文所发展的模型可以在较大的网格尺寸下实现模型的收敛, 同时网格各向异性不明显, 且能够反映界面能各向异性参数ε 对自由枝晶生长的影响. 在ε =0.02时, 通过与描述自由枝晶生长的LGK理论模型相比较, 发现计算的枝晶尖端速度与LGK理论模型的预测符合较好, 而计算的枝晶尖端半径比LGK理论预测值大于约20%.     

Farbzentren rhombischer und monokliner Symmetrien in NaF

A number of zero-phonon absorption lines ofF aggregate color centers is studied inx-irradiated NaF crystals under uniaxial stress. The color centers associated with the lines are found to exhibit rhombic (D_2h, D₂, C_2v; rotation axes along 〈110〉 and 〈100〉) and monoclinic (C_2h, C₂, C_s; rotation axis along 〈110〉) symmetries. The transitions of the rhombic color centers correspond to 〈100〉 and 〈110〉 dipoles, those of the monoclinic centers to 〈112〉 and 〈110〉 dipoles. The most prominent line at 5803 Å is due to a 〈112〉 dipole transition within a monoclinic color center. Several models of centers are discussed.     

Magnetoresistance measurements concerning the conduction band structure of cubic SrTiO3

The longitudinal and transverse magnetoresistance of cubic n-SrTiO₃ was measured with current in 〈001〉 and 〈111〉 directions at 120 K. The results support a model with a warped constant energy surface and are not consistent with a 〈100〉 many model of the lowest conduction band.     

Preparation of functionalized platinum nanoparticles: a comparison of different methods and reagents

Au–Pd core–shell nanocubes and triangular nanoparticles were systematically synthesized from a few Pd layers up to fully grown morphologies by a modified seed-mediated growth method. The shape evolution of Au–Pd core–shell nanoparticles from single crystal and singly twinned seed to final concave nanocube and triangular plates are presented at atomic level by Cs-corrected scanning transmission electron microscopy (STEM). The growth mechanism of both morphologies was studied throughout different sizes. It was found that the concave nanocubes grew from octahedral Au seeds due to fast growth along 〈111〉 directions; while the triangular nanoparticles grew from singly twinned Au seeds, growing twice as fast in 〈110〉 directions along the twin boundary; compared to the 〈111〉 direction perpendicular to the twin boundary. Both the concave nanocubes and triangular nanoparticles presented high index facet (HIF) surfaces that will increase the catalytic activity of different reactions.     

Ultrasonic attenuation in aluminium

Second- and third-order elastic-constant data have been used to determine the Grüneisen mode, 〈γ〉, average-square Grüneisen constant, 〈γ²〉 and nonlinearity constant D, for Aluminium. The attenuation suffered by longitudinal ultrasonic wave propagating in 〈100〉 and 〈110〉 directions and shear wave polarized along 〈100〉 and 〈1$\text{1}$0〉 directions, due to phonon viscosity and thermoelastic phenomena have been evaluated from two different values of TOEM at 289°K and comparison with observed experimental results has been made also.     

High field magnetization of NdAl2 single crystals interpreted with crystal field theory

The magnetization of NdAl₂ single crystals was measured at 4.2, 20.3 and 77 K, in magnetic fields up to 35 tesla applied in the 〈100〉, 〈110〉 and 〈111〉 directions. The magnetization in these directions may be described theoretically, without any fitting, in terms of two cubic crystalline electric field parameters and one molecular field constant which have been taken from inelastic neutron scattering data.⁵     

Anisotropy at nano-grain boundary and effective anisotropy between magnetically soft and hard nano-grains

An expression of anisotropy at grain boundary suitable for different coupling conditions has been given, based on which the effective anisotropy between soft and hard grains 〈K_sh〉 has been calculated in nanoscaled magnetic materials. The results showed that 〈K_sh〉 increases rapidly first, then the increase becomes slow, and 〈K_sh〉 decreases with increasing D_s for the same value of D_h. 〈K_sh〉 decreases with increasing D_s for all given D_h, and the decrease rate becomes slow with increasing D_h. In order to obtain higher effective anisotropy between magnetically soft and hard grains, D_h should not be less than 25 nm, and D_s should be about 10 nm.     

High field magnetoresistance of orientedcrystallites of AuPb2

High field magnetoresistance measurements have been made on samples of AuPb₂, which consist of islands of oriented AuPb₂ surrounded by eutectic mixture. The results obtained are very similar to what would be expected for single crystal samples. Open orbits are observed in 〈100〉, 〈110〉, 〈101〉, 〈112〉 and 〈211〉 and [001] directions. The results are consistent with predictions of the Nearly Free Electron Model.     

Hysteresis phenomena in the course of polarization evolution in a sinusoidal electric field in lead magnesium niobate crystals

The processes of polarization evolution in single crystals of the PbMg_1/3Nb_2/3O₃ model ferroelectric relaxor in a sinusoidal electric field are investigated at temperatures near and above the temperature T _d 0 of destruction of the induced ferroelectric state upon heating in zero electric field. The polarization switching current loops are measured in the ac electric field applied along the 〈111〉 and 〈110〉 pseudocubic directions. The electroluminescence intensity loops are obtained under the combined action of ac and dc electric fields applied along the 〈100〉 direction. In a certain temperature range above T _d 0 and the freezing temperature T _f in lead magnesium niobate, there are electric current anomalies, that correspond to the dynamic formation and subsequent destruction of the ferroelectric macroregions throughout each half-cycle of the ac electric field. The measurements of electroluminescence hysteresis loops demonstrate that the observed depolarization delay (related to the ac electric field amplitude) increases with an increase in the dc electric field and decreases as the ac field amplitude increases. The nature of the observed phenomena is discussed.     

The off-axis pyroelectric effect observed for lithium tetraborate

We find a pyroelectric current along the 〈110〉 direction of stoichiometric Li₂B₄O₇ so that the pyroelectric coefficient is nonzero but roughly 10⁻³ smaller than along the 〈001〉 direction of spontaneous polarization. Abrupt decreases in the pyroelectric coefficient along the 〈110〉 direction can be correlated with anomalies in the elastic stiffness contributing to concept that the pyroelectric coefficient is not simply a vector but has qualities of a tensor, as expected. The time dependent surface photovoltaic charging suggests that an inverse piezoelectric effect occurs at the (110) surface but not the (100) surface. Both effects along the 〈110〉 direction or at the (110) surface are distinct the conventional as a bulk pyroelectric effect.     

Large magnetic anisotropy in single crystal us

It is shown for ferromagnetic US that an extremely large anisotropy restrains magnetic moments to 〈111〉 easy axes, resulting in a near cos θ angular dependence of the magnetization away from the 〈111〉 axes. This is further confirmed by torque measurements, which in addition show large hysteresis effects upon rotation through the hard axes. It is illustrated through torque and magnetization measurements that a near stable domain configuration can be established by field rotation through decreasing angular amplitude around a hard 〈001〉 direction. The anisotropy constant K₁(T) is estimated by computing the small angle through which the magnetization deviates from the 〈111〉 axes when a field is applied along the [001] direction.     

Submillimetre cyclotron resonance of electrons in GaP

The first observation of cyclotron resonance in n-type GaP is reported. The electrons were thermally excited at a temperature of 100 K and the resonance was observed at submillimetre wavelengths (337 μm) using a pulsed magnetic field of 0–300 kG. From experiments with B∥〈100〉, 〈110〉 and 〈111〉 it was found that the transverse effective mass for electrons is $\text{m}{}^1{}_{\mathrm{\perp }}\text{= 0.25 ± 0.01 m}{}_0$ and that the anisotropy factor for the conduction band ellipsoids is K = 20⁺¹⁰_-6.