Der Oberflächeneinfluß auf die Polarisation eines Dielektrikums

From a microscopic model of a dielectric crystal with a plane surface the polarization being the response to an external applied electric field is calculated. For a solid dielectric with a cubic crystal structure and with a surface whose Miller indices are (1, 0, 0) there is no great influence of the surface on the uniform polarization; for other orientations of plane surfaces and for other crystal structures an oscillating polarization near the surface is found.     

Surface structure and energy of B2 type intermetallic compound NiAl

The surface structure and energies for 22 surfaces of NiAl, an ordered intermetallic compound of B2 structure, have been studied by using embedded atom method. The results show that, for alternating Ni and Al surfaces with odd numbers of the sum of their three Miller indices, the energy difference between the Ni terminated surface and Al terminated surface increase linearly with increasing the interlayer distance. So from surface energy minimization, the Al terminated surface is favorable for each alternating Ni and Al surface. This is in agreement with experimental results. However, the energy of the (1 1 0) surface belonged to the other kind of the surface consisted of stoichiometric atomic layers and with even numbers of the sum of their three Miller indices, is the lowest in all two kinds of the surfaces. Therefore the (1 1 0) texture of NiAl appears mostly in the experiments.     

由面心立方（111）面间距谈几何晶体学的几个基本概念

通过对面心立方晶体（111）面间距的计算,对几何晶体学中几个基本概念进行了全面的辨析;在此基础上,给出了晶面指数和密勒指数之间的转换矩阵．     

Surface reconstruction of a field electron emitter

The surface and emission images of a metal field’s electron cathode in the form of a tip are simulated. The surface structure is calculated in the thin-shell and broken-bond (local-environment) models for the perfect crystal lattice. The cathode shape and macroscopic electric field are represented by the sphere-on-cone model. The amplification of a local electric field is the adjustable parameter of the model. The method of determination of the emitter tip’s crystal faces based on the analysis of the surface atoms’ environment geometry is proposed. It is shown that it is enough to restrict the consideration of geometric environment by the fifth order of the nearest neighbors for the emitter radius of 100–1000 lattice parameters (31.6–316 nm for the tungsten). The crystallographic model of work function anisotropy in the broken-bond approach is used: the local work function’s value is set in accordance with Miller indices of the face containing this area. The model adequacy is corroborated by the comparison of current-voltage characteristics and emission images with the data of the natural experiment.     

氧化镁纳米多晶的微结构和磁性

实验发现,宏观晶体是非磁性的氧化镁时,其多晶样品有弱铁磁性.本文用第一性原理电子结构方法研究了氧化镁表面、纳米颗粒和晶界的磁性.计算结果表明:绝缘的氧化镁表面可以是导电的,并且有与之相关的铁磁性;磁性表面的共同特征是在表面上有氧原子富集,包括(111)表面的纯氧原子层,(114)表面的氧原子链;其他高晶面指数表面也会有氧原子富集区域;氧化镁纳米颗粒的磁性出现在高晶面指数表面以及不同晶面交界的棱及其顶角等有氧原子富集的区域,这种由氧原子富集而形成的磁性有巡游特征.氧化镁Σ7[111]和Σ5[001]晶界的计算结果表明:在没有氧原子富集的情况下,多晶样品中晶界的磁性很弱,而在有氧原子富集的情况下,晶界磁性比较强.因此可以推断多晶样品的磁性主要出现在多晶表面、晶粒包围孔隙、微裂纹界面、晶界和其他晶体缺陷等有氧原子富集的区域.这种残余磁性可以通过热处理等结构优化过程而削弱甚至消除.     

激光窗口热效应和应力双折射的分析

 分析了平板窗口在激光加热和内外压强差作用下对光束带来的附加相移，详细讨论了应力双折射部分的相移，计算了CaF₂窗口的温升、应力、附加相移、远场Strehl比和退偏度等的分布。结果表明：窗口变形和折射率随温度变化是产生附加相移的主要原因，窗口的非均匀温升将导致光束质量下降，应力双折射部分的相移与窗口表面Miller指数有关，对入射光产生一定的退偏效应，从而影响光束质量。     

A statistical method for the determination of the signs of structure factors

The average value of the products of a certain number of unitary structure factors was developed for a constant sum of their Miller indices. Its determination gives the measure of the usefulness of the statistical relations which connect the sign of a certain structure factor and the sign of the product of an arbitrary number of structure factors.     

Effect of planar defects on the stability of the Bragg glass phase of type-II superconductors

It is shown that the Bragg glass phase can become unstable with respect to planar crystal defects as twin or grain boundaries. A single defect plane that is oriented parallel to the magnetic field as well as to one of the main axis of the Abrikosov flux line lattice is always relevant, whereas we argue that a plane with higher Miller index is irrelevant, even at large defect potentials. A finite density of parallel defects with random separations can be relevant even for larger Miller indices. Defects that are aligned with the applied field restore locally the flux density oscillations which decay algebraically with distance from the defect. The current-voltage relation is changed to lnV(J) approximately -J(-1). The theory exhibits striking similarities to the physics of Luttinger liquids with impurities.     

BeAl2O4:Cr3+晶体的生长习性

分别沿a,b,c轴三种取向用提拉法生长了BeAl₂O₄:Cr³⁺晶体,用X射线和光学方法测定了各个显露面,确定了其密勒指数,并根据PBC理论计算了各显露面的重要性,计算结果与实验结果相符。 关键词：     

Interface energy of faces of manganese and vanadium crystals at boundaries with organic liquids

The dependence of the interface energy at a boundary between a metallic crystal face and an organic liquid on the permittivity of the liquid is obtained using a modified version of the electron-statistical Frenkel’–Gombas–Zadumkin theory. The interface energies of faces with low Miller indices of α-Mn and V at boundaries with hexane, benzene, toluene, and o-xylene are calculated.     

The effects of shadowing on modelling forward radar propagation over a rough sea surface

In order to accurately predict the effects of ocean roughness on forward radar propagation, it is important to incorporate the relevant physical scattering mechanisms. Shadowing is one such mechanism that is particularly important for low-grazing incidence yet it is often not taken into account. One broad class of approximations defines a roughness reduction factor in terms of an ensemble average over surface heights of a Rayleigh phase factor. The widely used Ament approximation and Miller–Brown approximation are two examples from this class of approximations that do not incorporate shadowing. In this paper, we use this class of approximations to develop a ‘shadowed’ approximation that implements a probability density function (PDF) for a rough sea surface illuminated at grazing incidence. A rigorous method of moments calculation is used to compare and quantitatively assess the accuracy of the Ament, Miller–Brown, and shadowed approximations at horizontal polarization. It is shown that the shadowed approximation yields significantly more accurate results than either the Ament or Miller–Brown approximation. In addition, these three approximations are compared with experimental data and it is shown that the shadowed approximation is in good agreement with the data. Finally, numerical curve fitting is used to develop a simple analytical expression for a roughness reduction factor that incorporates shadowing.     

LEED studies of clean high Miller index surfaces of germanium

Clean high Miller index Ge surfaces the poles of which lie on the sides of a unit stereographic triangle were studied by LEED. Clean surfaces of germanium may coincide with the atomic planes of the same indices or consist of the regular steps with (111) or (100) terraces, or contain the “hill and valley” configuration depending on the orientation. Surface atomic planes are reconstructed. On clean Ge surfaces at certain temperatures the reversible order-disorder and order-order transitions take place.     

片状热容激光器热效应有限元分析

 基于激光介质的非均匀内热源模型，利用有限元数值方法，模拟计算了热容模式下高功率激光二极管阵列(LDA) 重复脉冲泵浦片状激光介质的瞬态温度分布和热应力分布及其波前畸变和应力双折射。结果表明:热容模式下，当增益介质不能够被全口径泵浦时，也会出现严重的热效应，介质的表面靠近边缘处会出现大的拉应力集中，介质表面的最大轴向位移和最大拉应力随泵浦光斑尺寸缩小而增大；而当全口径泵浦时，介质表面热形变大大减弱，较小的拉应力存在于介质内部，而且泵浦光斑和介质的几何形状对热分布有很大影响。结果还表明，介质片表面变形和热光效应是产生波前畸变的主要原因，而热应力双折射产生的附加相移与激光介质的切割方向有关，它对光束产生较大的退偏作用，从而影响激光器的输出性能。理论模型得到了实验结果的验证。     

三维光强有序分布的获得：从结构导出相干光束的配置

以体心四方为例，叙述了由相干结构导出入射光配置的原则和方法用相干光强的分布模拟晶格点阵。选择这样几组晶面，使它们的密勒指数较低且具有对称性。通过建立这些晶面与相干光束之间的几何关系，就可能获得光束配置的解析解。     

The stability and structure of high miller index platinum crystal surfaces in vacuum and in the presence of adsorbed carbon and oxygen

The surface structures of twenty-two high Miller Index crystal faces of platinum were studied in ultrahigh vacuum (uhv) when clean and in the presence of a monolayer of chemisorbed oxygen or carbon by low-energy electron diffraction (LEED). Besides the low Miller index planes [the (001), (011), and (111)], only a few of the surfaces [the (112), (113), (133), (122) and (012)] were stable under all conditions of the experiments. The stable surfaces are characterized by a very high density of periodic steps of one atom in height or a complete lack of steps. The other platinum crystal faces restructure as the surface composition is changed. Some of the surface structures that are stable in uhv and in oxygen reconstruct in the presence of carbon while others are stable when clean and when carbon covered but restructure when covered with oxygen. In addition to the one atom high step-terrace configuration there are atomically clean surface structures with multiple height steps and structures in “hill and valley” configuration consisting of large facet planes detectable by LEED. The implications to heterogeneous catalysis of the observed stability and restructuring of the various crystal planes in changing reaction conditions are discussed.     

Modeling the combustion of JA2 and solid propellants of similar composition

A theoretical study on combustion of JA2, RPD-380, and RPD-351, which are modified double-base propellants composed primarily of three identical nitrate ester ingredients, is presented. A one-dimensional, two-phase model was used [M.S. Miller, W.R. Anderson, in: V. Yang, T.B. Brill, W.Z. Ren (Eds.), Solid Propellant Combustion Chemistry, Combustion and Motor Interior Ballistics, Progress in Astronautics and Aeronautics, vol. 185, AIAA, Reston, VA, 2000, pp. 501–531, (a) M.S. Miller, W.R. Anderson, J. Propul. Power 20 (3) (2004) 440–454. (b) M.S. Miller, W.R. Anderson, CYCLOPS, A Breakthrough Code to Predict Solid-Propellant Burning Rates, U.S. Army Research Laboratory Technical Report, 1987 ARL-TR-2910.]. This approach has been shown to give good agreement between predicted and experimental results for several nitrate ester propellants, including JA2 [(a) M.S. Miller, W.R. Anderson, J. Propul. Power 20 (3) (2004) 440–454. (b) M.S. Miller, W.R. Anderson, CYCLOPS, A Breakthrough Code to Predict Solid-Propellant Burning Rates, U.S. Army Research Laboratory Technical Report, 1987 ARL-TR-2910.]. Extension of the model to the two RPD variants yields results in good agreement with existing experimental data. Comparisons of the response of predicted burning rates to experimental formulation changes at gun pressures, and to the initial propellant temperature are particularly encouraging. Our results show the burning rate ordering of these propellants is JA2 < RPD-380 < RPD-351 at all pressures. Chemistry which appears to account for this ordering is discussed. Also, an upgraded mechanism was used, and the reasons for some slight changes in results vs. an older one are identified. Sensitivities of the computed temperatures near the propellant surface to the various reactions’ rate coefficients are discussed; these provide insights regarding which reactions are centrally important to the computed burning rates and solutions. The spatial structure of one propellant flame – temperature and species profiles – is given; variations vs. the formulations and pressure are discussed. The fidelity of burning rate response to mixture ratio and initial propellant temperature are encouraging that the model may find application in propellant formulation science and elsewhere.     

Characterization of an acoustic cavitation bubble structure at 230 kHz

A generic bubble structure in a 230 kHz ultrasonic field is observed in a partly developed standing wave field in water. It is characterized by high-speed imaging, sonoluminescence recordings, and surface cleaning tests. The structure has two distinct bubble populations. Bigger bubbles (much larger than linear resonance size) group on rings in planes parallel to the transducer surface, apparently in locations of driving pressure minima. They slowly rise in a jittering, but synchronous way, and they can have smaller satellite bubbles, thus resembling the arrays of bubbles observed by Miller [D. Miller, Stable arrays of resonant bubbles in a 1-MHz standing-wave acoustic field, J. Acoust. Soc. Am. 62 (1977) 12]. Smaller bubbles (below and near linear resonance size) show a fast "streamer" motion perpendicular to and away from the transducer surface. While the bigger bubbles do not emit light, the smaller bubbles in the streamers show sonoluminescence when they pass the planes of high driving pressure. Both bubble populations exhibit cleaning potential with respect to micro-particles attached to a glass substrate. The respective mechanisms of particle removal, though, might be different.     

Scanning electron microscopic studies on different habits of gel grown doped manganese carbonate crystals

The effect of impurities on the growth of manganese carbonate crystals has been studied. Stereophotogrammetric analysis showed that all crystal faces have the same Miller indices and the peanut-shaped forms are twins with twin axis 0001.     

Domain structures in orthorhombic KNbO3 and characterisation of single domain crystals

Domain configurations in large KNbO₃ single crystals grown by a top seeded flux growth technique are studied by optical methods and etching techniques. The orientation of observed domain walls is consistent with the principles of mechanical compatibility and electrical neutrality. Experimental evidence for the existence of a new type of ferroelectric domain wall (S-wall) is presented. Miller indices of such walls are irrational and depend on spontaneous strain tensor coefficients. The preparation of large single domain crystals (up to 1/3 cm³) is described. Assessment of crystal perfection by x-ray topographic and interference methods reveals a very small mosaic spread (one minute of arc) and a good optical homogeneity.     

Crystallographic study of the rhombohedral-oriented domains in a La0.7Sr0.3MnO3 film

The microstructures present in a thin film of La_0.7Sr_0.3MnO₃, grown by computer-controlled laser molecular beam epitaxy on a SrTiO₃ (001) substrate, were characterized by means of cross-section and plan-view transmission electron microscopy. Four kinds of rhombohedral-oriented domains and two types of domain boundaries were identified in the film. The crystallographic relationships between each domain and the substrate were established on the basis of a hexagonal unit cell using Miller–Bravais indices. A mechanism for the formation of the oriented domains is proposed from the viewpoint of the evolution of strain relaxation during film preparation.