Solidification microstructure selection of the peritectic Nd-Fe-B alloys

Bridgman directional solidification and laser remelting experiments were carried out on Nd_11.76Fe_82.36B_5.88 and Nd_13.5Fe_79.75B_6.75 alloys. Microstructure evolutions along with solidification parameters (temperature gradient G, growth velocity V and initial alloy composition C ₀) were investigated. A solidification microstructure selection map was established, based on the consideration of solidification characteristics of peritectic T₁ phase. In Bridgman directional solidification experiments, with the increasing growth velocities, the morphology of T₁ phase changed from plane front or faceted plane front to dendrites. In laser remelting experiments, a transition from primary γ-Fe dendrites to T₁ dendrites was found. Theoretical predictions are in good agreement with experimental results. Supported by the National Natural Science Foundation of China (Grant No. 50395100)     

Directional cellular growth of Al-2?wt% Li bulk samples

Al-2 wt% Li alloy was prepared using metals of 99.99% high purity in the vacuum atmosphere. The bulk samples were directionally solidified upward with a constant growth rate, V, (∼8.30 μm/s) and different temperature gradients, G, (3.11–6.06 K/mm) and also with a constant G (6.06 K/mm) and different V (8.3–164.70 μm/s) in the directional solidification apparatus. The cellular spacings, λ, were measured from both transverse and longitudinal section of the specimens and expressed as functions of solidification processing parameters, G and V, by using a linear regression analysis. The effects of the G and V on λ, were investigated. The experimental results were compared with the current theoretical and numerical models, and similar previous experimental results.     

超薄栅超短沟LDD nMOSFET中栅电压对栅致漏极泄漏电流影响研究

本文研究了90nm CMOS工艺下栅氧化层厚度为1.4 nm沟道长度为100 nm的轻掺杂漏(LDD)nMOSFET栅电压V_G对栅致漏极泄漏 (GIDL)电流I_d的影响,发现不同V_G下ln (I_d/(V_DG-1.2))-1/(V_DG-1.2)曲线相比大尺寸厚栅器件时发生了分裂现象. 通过比较V_G变化下ln(I_d/(V_DG-1.2))的差值,得出V_G与这种分裂现象之间的作用机理,分裂现象的产生归因于V_G的改变影响了GIDL电流横向空穴隧穿部分所致. 随着|V_G|的变小,ln(I_d/(V_DG-1.2))曲线的斜率的绝对值变小.进一步发现不同V_G对应的ln (I_d/(V_DG-1.2))曲线的斜率c及截距d与V_G呈线性关系,c,d曲线的斜率分别为3.09和-0.77. c与d定量的体现了超薄栅超短沟器件中V_G对GIDL电流的影响,基于此,提出了一个引入V_G 影响的新GIDL电流关系式.     

Elasto- and electro-capillary instabilities of a nematic-isotropic interface: Experimental results

Recently, we have shown the existence of an electro-capillary instability of a nematic-isotropic interface stabilized by a temperature gradient (P. Oswald, EPL 90, 16005 (2010)). This instability results from a competition between the destabilizing action of the electric Maxwell stress and the stabilizing action of the thermal and capillary forces. The control parameters are the temperature gradient G , the applied voltage V and the thickness h of the nematic layer. In this paper, we present new experimental results on this instability in both the linear and nonlinear regimes. In particular, very rich phase diagrams are mapped out in the (h, V) plane for three different values of G . The divergence of the growth time close to the onset of instability is also studied in detail. In addition, we show the existence at low voltages of another instability of the de Gennes type, where the elastic Ericksen stress is responsible for the destabilization. In this case, a hill-and-valley structure or a square array of umbilics develop at the interface depending on the values of h , V and G .     

Directional solidification of Ti–49 at.%Al alloy

Ti–49Al (at.%) alloy was directionally solidified in Bridgman-type directional solidification furnace. The specimens were directionally solidified under an argon atmosphere with the different growth rate (V=5–30 μm/s) at a constant temperature gradient (G=12.1 K/mm), and with the different temperature gradient (G=2.8–12.1 K/mm) at a constant growth rate (V=10 μm/s). The dendritic spacings (λ ₁) were measured from both transverse and longitudinal sections of the specimens. The dependence of λ ₁ on the growth rate (V) and temperature gradient (G) were determined by using linear regression analysis. According to the experimental results, the value of λ ₁ decreases with the increase of values of V and G. The experimental results were compared with the current theoretical and numerical models, and similar previous experimental results.     

Influence of the difference in the density of solid and liquid phases on the dynamics of an alloy solidification front at crystallization of a finite volume with a moving boundary $$\sqrt t $$

In this paper we obtain the exact analytical solution for a finite solidifying alloy with the upper boundary moving with the time as k _t√ . Thus, a three-phase problem including solid, solid-liquid, and liquid phases is analytically solved. Linearization of the heat conduction equation for an alloy is based on the method proposed in paper [1]. Unlike the paper indicated, this paper considers the case of different densities in solid ρ_s and liquid ρ_l phases. The exact analytical solution presented is an important test example for analysis of the numerical schemes used for systems with moving boundaries, e.g., for programs simulating vacuum arc remelting. As an example, we consider the dependences of the local solidification time, the velocity of the liquidus isotherm, the width of the mush zone, and the temperature gradient in the liquid phase on the liquidus isotherm on the parameters k _t and μ = ρ_l/ρ_s.     

Highly mobile Einstein spaces in the large

We consider an Einstein spaceV of the Petrov type II or III admitting a group of motionsG of high order. First we calculate the composition law and topological structure ofG. ThenV (or its submanifolds of transitivity) is represented as the homogeneous spaceG/H ofG,H being a subgroup ofG, and the actionG onV and the topology ofV are determined. The topologies of the spacesV are as follows: ⁴ (spaceT*₂), ⁴ of ³ T¹ (spaceT ₂), ⁴ (spaceT*₃), ³ (submanifolds of transitivity in spaceT ₃).In two cases (spacesT ₂ andT ₃) we have obtained metrics free of singularities.     

Directional solidification of Al–Cu–Ag alloy

Al–Cu–Ag alloy was prepared in a graphite crucible under a vacuum atmosphere. The samples were directionally solidified upwards under an argon atmosphere with different temperature gradients (G=3.99–8.79 K/mm), at a constant growth rate (V=8.30 μm/s), and with different growth rates (V=1.83–498.25 μm/s), at a constant gradient (G=8.79 K/mm) by using the Bridgman type directional solidification apparatus. The microstructure of Al-12.80-at.%–Cu-18.10-at.%–Ag alloy seems to be two fibrous and one lamellar structure. The interlamellar spacings (λ) were measured from transverse sections of the samples. The dependence of interlamellar spacings (λ) on the temperature gradient (G) and the growth rate (V) were determined by using linear regression analysis. According to these results it has been found that the value of λ decreases with the increase of values of G and V. The values of λ ² V were also determined by using the measured values of λ and V. The experimental results were compared with two-phase growth from binary and ternary eutectic liquid.     

Modularity in Orbifold Theory for Vertex Operator Superalgebras

This paper is about the orbifold theory for vertex operator superalgebras. Given a vertex operator superalgebra V and a finite automorphism group G of V, we show that the trace functions associated to the twisted sectors are holomorphic in the upper half plane for any commuting pairs in G under the C₂-cofinite condition. We also establish that these functions afford a representation of the full modular group if V is C₂-cofinite and g-rational for any g ∈ G.Supported by NSF grants, China NSF grant 10328102 and a Faculty research grant from the University of California at Santa Cruz     

Influence of local nonequilibrium on the rapid solidification of binary alloys

A local-nonequilibrium model of the diffusion of a solute during the rapid solidification of a binary alloy is considered. The model has two characteristic parameters: the diffusion velocity through the interface V _Di and the diffusion velocity in the bulk of the liquid phase V _D. The influence of local nonequilibrium on the separation of an impurity, the stability of the interface, and the dependence of the temperature of the interface on the velocity of the solidification front is investigated. A comparison with experiment is made. Zh. Tekh. Fiz. 68, 45–52 (March 1998)     

Islands of stability of the d-wave order parameter in s-wave anisotropic superconductors

In this paper we find and present on diagrams in the coordinates of η=2t₁/t₀ (the ratio of the second and the first nearest neighbor hopping integrals) and n (the carrier concentration) the areas of stability for the superconducting spin-singlet s- and d-wave and the spin-triplet p-wave order parameters hatching out during the phase transition from the normal to the superconducting phase. The diagrams are obtained for an anisotropic two-dimensional superconducting system with a relatively wide partially-filled conduction band. We study a tight-binding model with an attractive nearest neighbor interaction with the amplitude V₁, and the on-site interaction (with the amplitude V₀) taken either as repulsive or attractive. The problem of the coexistence of the s-, p- and d-wave order parameters is addressed and solved for chosen values of the ratio V₀/V₁. A possible island of stability of the d-wave order parameter in the s-wave order parameter environment for a relatively strong on-site interaction is revealed. The triple points, around which the s-, d-, and p-wave order parameters coexist, are localized on diagrams. It is shown that results of the calculations performed for the two-dimensional tight-binding band model are dissimilar with some obtained within the BCS-type approximation.     

NiTi合金中应力诱导的I/C相变及其界面动力学的研究

在改装了的拉力试验机上,以不同的拉伸速率ε(0.79—18×10^-5s^-1)进行加、卸载试验,并用中间扭摆和四端电位法同时测量了Ni-49at％Ti合金丝在应力诱导I/C相变过程的内耗Q^-1、模量M/M₀、电阻率ρ/ρ₀和应力-应变曲线。研究了应力循环和应变速率的影响。在Q^-1-ε曲线上出现Q^-1峰,而在f²-ε曲线上出现与之相对应的模量极小。内耗峰的高度Q_p^-1和模量亏损值均随ε增大而增大。根据界面动力学模型和内耗的实验数据,计算得应力诱导I/C相变过程界面的动力学关系为V=V^*(△G—△G_R)^m,V^*和m为动力学参数,△G_R为相变过程中运动相界面所受的阻力,计算得△G_R≈1cal/mol。讨论了内耗和模量亏损、软模效应之间的关系。 关键词：     

Distribution of surface states based on Hill and Coleman conductance technique

Hill-Coleman’s single frequency conductance technique for the determination of surface state density has been extended upto 2 kHz. A.c. conductance (G _m) and capacitance (C _m)versus gate bias (V _G) curves were obtained at various signal frequencies. Shift of the observed peaks in theG _m versus V_G curves for different signal frequencies was utilized for the determination of surface state density at different surface potentials (φ _s). Determination of surface state density for differentφ _s values was also done by Nicollian-Goetzberger method and the results compared. Results obtained by Hill-Coleman technique compare reasonably well with those obtained by the other method.     

Ultrasonic testing for hydrogen for titanium-based materials and articles

The propagation of ultrasonic (US) waves in hydrogen-saturated alloy based on VT1-0 titanium is investigated. Two characteristic domains of the effect of hydrogen on velocity V _R of US waves are established. A characteristic peak observed on the dependence of the velocity of US waves on the hydrogen concentration makes it possible to determine the hydrogen concentration in titanium at which hydrogen embrittlement begins.     

Refinement of the structure of hydrogen–vacancy complexes in titanium by the Rietveld method

The VT1-0 titanium alloy (phase α-Ti) with various hydrogen and hydrogen-vacancy concentrations has been studied. The stability of the 32-atom Ti–nV–mH supercell (n is the number of the V vacancies, and m is the number of hydrogen atoms H) with varying numbers of vacancies and hydrogen atoms has been calculated from the first principles. The structural state of the α-Ti phase has been identified by the Rietveld method based on the calculations of the supercell stability and the data on the defect concentration obtained using positron spectroscopy. The complete structural information on the considered states of the α-Ti phase (the lattice parameters, spatial distribution of titanium and hydrogen atoms and vacancies) has been obtained.     

Structure evolution and electrical transport property of Si nanowire

Various optimized Si and its alloy nanowires, from a monoatomic chain to helical and multishell coaxial cylinder, have been obtained. Results reveal that the structure of the Si nanowires transforms as the radii of the carbon nanotubes increase, despite of the chirality of the CNTs. We also calculate the physical properties, such as density of states, transmission functions, current–voltage (I–V) characteristics, and conductance spectra (G–V) of optimized nanowires and alloy nanowires sandwiched between two gold contacts. Interestingly, compared with the pure Si nanowires, the conductance of the alloy nanowires is even lower.     

Effects of gamma irradiation on electrical parameters of metal–insulator–semiconductor structure with silicon nitride interfacial insulator layer

The effects of gamma irradiation on electrical parameters of Au/Si₃N₄/n-Si (MIS) structure were investigated by using the capacitance–voltage (C–V) and conductance–voltage (G/ω–V) measurements. The MIS structure was irradiated using gamma-radiation source at a dose rate of 0.69?kGy/h. The C–V and G/ω–V measurements were carried out at a total dose range of 0–100?kGy for five different frequencies (1, 10, 100, 500 and 1000?kHz). The obtained results showed that the C and G/ω values decrease with the increasing radiation dose due to the irradiation-induced defects at the interface. Also, the observed decrease in the C and G/ω values with the increasing frequency was explained on the basis of interface states (N_ss). The values of series resistance (R_s) increase with the increasing radiation dose. To obtain the real capacitance and conductance of the capacitor, the measured values of C and G/ω were corrected to eliminate the effect of series resistance. The values of N_ss were determined by using the conductance method and were decreased with the increasing radiation dose.     

On symmetries and averaging of the G-equation for premixed combustion

It is demonstrated that the G-equation for premixed combustion admits a diversity of symmetries properties, i.e. invariance characteristics under certain transformations. Included are those of classical mechanics such as Galilean invariance, rotation invariance and others. Also a new generalized scaling symmetry has been established. It is shown that the generalized scaling symmetry defines the physical property of the G-equation precisely. That is to say the value of G at a given flame front is arbitrary. It is proven that beside the symmetries of classical mechanics, particularly the generalized scaling symmetry uniquely defines the basic structure of the G-equation. It is also proven that the generalized scaling symmetry precludes the application of classical Reynolds ensemble averaging usually employed in statistical turbulence theory in order to avoid non-unique statistical quantities such as for the mean flame position. Finally, a new averaging scheme of the G-field is presented which is fully consistent with all symmetries of the G-equation. Equations for the mean G-field and flame brush thickness are derived and a route to consistent invariant modelling of other quantities derived from the G-field is illustrated. Examples of statistical quantities derived from the G-field both in the context of Reynolds-averaged models as well as subgrid-scale models for large-eddy simulations taken from the literature are investigated as to whether they are compatible with the important generalized scaling symmetry.