Controlled vortex motion in multiple interpenetrating pinning arrays

We study the effect of multiple interpenetrating pinning arrays on the vortex motion in the presence of an ac driving force, f _d (t), by using extensive molecular dynamics (MD) simulations. Firstly, the response to a square ac wave f _d (t) has been explored for the vortices interacting with a periodic square pinning array which has different pinning strengths and sizes. The effect of the type of an ac drive and its amplitude on the oscillatory dynamics of vortices have been investigated in detail. For very low displacements of the vortices, we have found that the single-particle model can produce results analytically similar to the ones obtained by the MD simulations. It is shown that the collective motion of vortices can be controlled easily by varying the number of multiple interpenetrating square pinning lattices (N _SPSL). A regular sequence of peaks has been observed for N _SPSL = 3 in the time evolution of the average velocity of the vortices (i.e., V? _{x - t} curves). The number of peaks (N _peak) strongly depends on the magnitude of f _d (t), and increases with increasing the magnitude of f _d . The close relation between N _peak and f _d is considered as an indication of controlling vortex motion in a multiple periodic pinning structure. Finally, the variation of the power spectrum of noise S(ν) with N _SPSL has been investigated. For N _SPSL = 3, it has been found that the plastic motion of the row of vortices evolves at low frequencies, i.e., 1/ν behavior, whereas, at high frequencies, S(ν) shows a typical behavior of Gaussian white noise.     

Pressure dependence of the Néel temperature in CeMg and CeZn

Magnetization measurements have been carried out under hydrostatic pressures up to 6 kbar and constant magnetic fields (10 kOe) in CsCl-type compounds: CeMg and CeZn. a decrease in the Néel temperature, T_N, with increasing pressure is observed in both compounds (dT_N/dp=- 0.2 and -0.17 K kbar^-1 respectively in CeMg and CeZn). The relative decrease of T_N has a similar order of magnitude to that found in other cerium compounds with Kondo-type properties.     

M4,5N4,5N4,5 auger electron spectrum of Ba metal

The Al Kα excited M_4,5N_4,5N_4,5 Auger spectrum of Ba has been measured from the metallic sample evaporated on a Ag substrate. The spectrum has been decomposed into individual line components after the background subtraction. The decomposed spectrum has been compared with the theoretical spectrum calculated for the 4d^?2 final state configuration in the mixed coupling scheme applying jj-coupling for the initial state and intermediate coupling for the final state. The most prominent structure of the spectrum shows the two 4d-hole coupling, but the structure which is caused by the Auger transitions M_,45N_2,3V has also been observed. The screening of the core holes in Ba metal seems to be produced by (5d6s) electrons. The simple excited atom model HF-calculations give an Auger kinetic energy shift (metal-free atom) of 16.7 eV, which is comparable to the experimental value 14–18 eV.     

Effect of Al concentration and hydrostatic pressure on the néel temperature of CrAl alloys

As determined from ? vs T measurements, the T_N vs Al content curve for CrAl alloys exhibits three distinct regions. The first region extends from 0 to about 2 at.% Al. Here the Néel temperature decreases linearly in two stages, with an abrupt change in slope occurring at about 1.2 at.% Al. From 2 to 4 at.% Al no T_N value could be defined from the resistivity measurements. Finally, at concentrations higher than 4 at.% Al, T_N was observed to increase with increasing Al content. The variation of dT_N/dp with Al concentration was found to be similar to the T_N curve in the first region. Exceptionally high values of dT_N/dp were found.     

Emissivity and band-model parameters for infrared bands of nitrous oxide

Narrow band-model parameters S/d, γ_N/d and B have been obtained experimentally for the v₃, v₁ and 2v₂ bands of N₂O in the temperature range from 200°K to 500°K. The exponential-wide band-model parameters have been determined for all of the contributing bands and have been found to differ greatly from the values of Tien et al. Data of revised total gas emissivities are presented.     

Volume dependence of electronic structure and magnetic properties of Fe16N2

Using first-principles calculations based on density functional theory, we investigated systematically the electronic structures and magnetic properties of Fe₁₆N₂ system and their unit cell volume dependence. It has been found that total magnetic moment increases as increasing unit cell volume of Fe₁₆N₂. In addition, it also has been found that the d electron number on Fe I, Fe II and Fe III atoms decreases as increasing unit cell volume and the local magnetic moment on Fe atoms increases with the decrease of d electron number. The present study provides a clear insight into the numerous conflicting experimental results on the magnetic properties of Fe₁₆N₂ system.     

The effect of gradient sampling schemes on diffusion metrics derived from probabilistic analysis and tract-based spatial statistics

Purpose

The purpose was to systematically evaluate the effect of diffusion gradient encoding scheme on estimated fractional anisotropy (FA), mean diffusivity (MD) and the voxel-wise probability of identifying crossing fibers in the brain.

Materials and Methods

Eight healthy volunteers (mean age 26.5±1.3 years, 5 males, 3 females) were imaged using a Spin-Echo Echo-Planar-Imaging sequence acquired with two signal averages [number of signals averaged (NSA)], 127 diffusion directions, and b-values of 750 s/mm² and 1500 s/mm². The number of diffusion gradient directions (N_d) was reduced from the original value whilst maintaining a homogeneous gradient distribution enabling direct comparison of subsampled data sets with N_d=15, 28, 43, 84, 112 and 127. FA and MD maps were generated and analyzed using tract-based spatial statistics. Effect of N_d on estimated FA and MD was tested with voxel-wise statistics in 13 regions of interest. The number of voxels supporting two fiber populations (NV²) at different N_d values was estimated using Bayesian estimation of diffusion parameters.

Results

Low FA values decreased significantly with increasing N_d and with increasing NSA. MD was only marginally sensitive to N_d and NSA. NV₂ increased significantly with N_d but not with NSA. Thus, we conclude that accurate estimation of standard diffusion metrics FA and MD is mainly dependent on the signal-to-noise ratio (SNR), whereas the ability to differentiate multiple fiber populations requires a high diffusion sampling density.     

Magnetic susceptibility studies of polycrystalline chromium and chromium-0.3 at.% tungsten alloy in the neighborhood of the Néel temperature

Magnetic susceptibility (χ) measurements of the relative precision of 1 part in 10⁴ have been made on pure Cr and Cr-0.3 at.% W alloy about 10 K below and above the respective Néel temperatures, T_N. For Cr, T_N = (311.8 ± 0.2)N, and for Cr-0.3 at.% W, T_N = (305.0 ± 0.2)K. Temperature dependence of d(χT)/dT above T_N is very sensitive to heat treatments while below T_N the values of d(χT)/dT remain the same for Cr-0.3 at.% W sample and approximately the same for pure Cr specimen. Below T_N the critical behavior of Cr and Cr-0.3 at.% W is essentially logarithmic.     

An analytical model of the heat of chemisorption: A perturbation LCAO MO approach

An analytical LCAO MO perturbation model has been developed for treating the heat of chemisorption Q of an adsorbate A monolayer on a transition metal M film. The model combines parameters of the metal band (the Fermi level E_F, band width W = W^occ + W^vac, the d occupancy N_d, density of states n(?), etc.) with those of the local A-M interactions (the adorbital energy ?_A, off-diagonal matrix elements β_AM, etc.). The major cases of A's having lone pair, singly occupied, and vacant adorbitals have been considered, and the analytical expressions for Q as well as some numerical estimations are presented. The relative values of Q seem to be crucially dependent on the ratio β/(?_A ? E_F). The Q vs. N_d plots for the donor and radical A's are rather flat, typically Q decreasing monotonically as N_d increases, but for the acceptor A's the plots are very parameter dependent and show a variety of trends. The results obtained agree with straightforward computations and (scarce) experimental data.     

Determination of the piezoelectric constant d14 of trigonal selenium crystals

Using the gain-bandwidth method, the piezoelectric constant d₁₄ of trigonal selenium has been deduced from measurements of the admittance and the electromechanical resonance frequencies of appropriately cut bars. The value was found to be |d₁₄| = (2.54 ± 0.2) × 10^?2C/N.     

Experimental studies of the radiative properties of sulfur dioxide

The narrow band-model parameters S/d, γ_N/d and B have been obtained experimentally for the infrared bands of SO₂. Good agreement was obtained between the present experimental and previous theoretical studies. The revised wide band-model parameters were determined and used to calculate total gas emissivities, which are found to be considerably different from previously published values.     

Double-hole binding energy shifts for the 5d transition metals

Recent experimental M₄₅N₆₇N₆₇ Auger energies for Ta, W, Ir, Pt, Au, Hg and Pb are analyzed in terms of the complete screening picture. For the shift in the double-hole (N₆₇N₆₇) binding energy between the free atom and the metal a good agreement is found between theory and experiment. The variation of the shift throughout the 5d series and beyond reflects different types of screening of the two core holes, i.e. a large shift in the case of d-type screening and a considerably smaller shift for sp-type screening.     

Sign of the electric field gradient at 57Fe nuclei in Eu3Sc2Fe3O12 garnet

The ⁵⁷Fe Mössbauer effect in conjunction with an external magnetic field H_ext has been used to measure the signs of quadrupole coupling constants Δ at the octahedral (a) and tetrahedral (d) iron sites in the Eu₃Sc₂Fe₃O₁₂ garnet. It is shown that application of H_ext to the sample at temperatures T above the Néel temperature T_N slows down the relaxation effects, whose influence on the spectra depends upon the temperature difference T-T_N. By comparing a spectrum measured at 203.0 K and in H_ext=62.4 kOe with theoretical spectra computed for different combinations of Δ(a), Δ(d) signs, it is concluded that Δ(d) is negative. The sign of Δ(a) could not be determined.     

Dependence of Néel temperature on the particle size of MnFe2O4

Mn-ferrite nanoparticles having diameter in the range 17-45 nm were synthesized by modified co-precipitation method using metal nitrate solutions. Different concentrations of NaOH were found to affect the growth of particle size. Néel temperature (T_N) was found to increase with increasing particle size. The obtained Néel temperature was higher than that of the bulk. The shift in the Néel temperature is described by the finite size-scaling theory [T_N(d)−T_N(bulk)]/T_N(bulk)=(d/d₀)^−1/v, where d is particle size, v=0.6±0.1 and d₀=1.7±0.1 nm.     

Current-voltage dependencies of heterogeneous semiconductor systems

Computed current-voltage (J–V) dependencies of heterogeneous (powder) semiconductor systems reveal an anomalous dependence between the constant-voltage current J and the uncompensated donor (acceptor) concentration N. Over a range of N(N₁ < n < N₂) of approximately one decade, J decreases by as much as four decades with increasing N. For N > N₂, the grain Schottky barrier thickness d is less than the grain half-width l/2, the grain surface potential V_s is almost independent of N and the J–V dependence is superlinear. For N₁ < N < N₂, d > l/2, V_s decreases linearly with N, J increases strongly with decreasing N and the J–V dependence is superlinear. For N < N₁, d > l/2. V_s ? V_th ( = kT/q) and J ∝ NV. The phenomenon is used to account for some observed J–V dependencies with column II-chalcogenide and ZnO powder semiconductor systems (electro-optic displays, electrophotographic receptors and heterogeneous catalysts).     

Structure,electronic and magnetic properties of hexagonal boron nitride sheets doped by 5d transition metal atoms: First-principles calculations and molecular orbital analysis

A first-principles calculation based on density functional theory is carried out to reveal the geometry, electronic structures and magnetic properties of hexagonal boron nitride sheets (h-BNSs) doped by 5d transitional mental atoms (Lu, Hf, Ta, W, Re, Os, Ir, Pt, Au and Hg) at boron-site (B_5d) and nitrogen-site (N_5d). Results of pure h-BNS, h-BNS with B vacancy (V_B) and N vacancy (V_N) are also given for comparison. It is shown that all the h-BNSs doped with 5d atoms possess a C_3v local symmetry except for N_Lu and N_Hg which have a clear deviation. For the same 5d dopant, the binding energy of B_5d is larger than that of N_5d, which indicates the substitution of a 5d atom for B is preferred. The total densities of states are presented, where impurity energy levels exist. Besides, the total magnetic moments (TMMs) change regularly with the increment of the 5d atomic number. Theoretical analyses by molecular orbital under C_3v symmetry explain the impurity energy levels and TMMs.     

Thermodynamics of a Magnetic Transition in MnS<Subscript>2</Subscript> at High Pressures

The behavior of the specific heat of MnS₂ at high pressures has been studied. A significant increase in the transition temperature T_N to an antiferromagnetic state with the pressure from 48.2 K at atmospheric pressure to 76 K at a pressure of 5.3 GPa has been revealed. The initial pressure derivative is dT _N /dP = 4.83 K/GPa. It has been found that the parameter α = d(logT _N )/d(logV ) = ?6.6 ± 0.1 is significantly different from the value α = ?10/3 ≈ ?3.3 (Bloch relation), which is typical of numerous antiferromagnetic insulators—transition- metal oxides and fluorides. The volume jump at the magnetic transition point has been estimated. The necessity of direct dilatometric measurements of the volume has been justified.     

Gauge dependence of the effective action in multidimensional supergravities

The problem of gauge dependence of the effective action in multidimensional supergravities (SG) is investigated. As an example d=5 SGs are considered. The convenient gauge-dependent effective action (EA) and gauge-invariant Vilkovisky-De Witt EA in d=5, N=2, 4, 6, 8 SGs on the background R₄×S₁ with accuracy to linear curvature terms are obtained. The convenient three-gauge-parameter-dependent EA in d=5, N=2 gauged SG on the background R₄×S₁ is calculated. The Vilkovisky-De Witt EA in d=5 SGs on the background R₄×S₁ at non-zero temperature is also obtained.     

Lyapunov Exponents for Products of Complex Gaussian Random Matrices

The exact value of the Lyapunov exponents for the random matrix product P _N =A _N A _N?1?A ₁ with each $A_{i} = \varSigma^{1/2} G_{i}^{\mathrm{c}}$ , where Σ is a fixed d×d positive definite matrix and $G_{i}^{\mathrm{c}}$ a d×d complex Gaussian matrix with entries standard complex normals, are calculated. Also obtained is an exact expression for the sum of the Lyapunov exponents in both the complex and real cases, and the Lyapunov exponents for diffusing complex matrices.