Numerical study of a billiard in a gravitational field

Billiards have always been used as models for mechanical systems. In this paper we describe a very simple billiard which, over a range of one continous parameter only, exhibits the characteristics of Hamiltonian systems having two degrees of freedom and a discontinuity. The relationship between this billiard and the well-known one-dimensional self-gravitating system (with N = 3) is given. This billiard consists of a mass point moving in a symmetric wedge of angle 2θ under the influence of a constant gravitational field. For θ<45° KAM and chaotic regions coexist in the phase space. A specific family of curves, related to collisions at the wedge vertex, limits the expansion of near-integrable regions. For θ=45°, the motion is strictly integrable. Finally, for θ>;45°, complete chaos is obtained, suggesting K-system behavior. The general properties of the mapping and some numerical results obtained are discussed. Of special interest are invariant curves which cross a line of discontinuity, and a new “universality” class for Lyapunov numbers.     

高功率InGaAs量子阱垂直腔面发射激光器的研制

采用AlAs氧化物限制工艺实验制备了衬底出光的高功率大出光窗口（直径为300 μm）InGaAs/GaAs量子阱垂直腔面发射半导体激光器,实现了器件室温准连续工作（脉冲宽度为50 μs,重复频率为1000 Hz）,并对器件的伏安特性、光输出特性、发射光谱,以及器件的远场发射特性等进行了实验测试.器件阈值电流为460mA,器件的最大光输出功率为100mW,发射波长为978.6nm, 光谱半功率全宽度为1.0 nm,远场发散角小于10°,垂直方向的发散角θ_⊥为8°,水平方向的发散角θ_∥为9°,基本为圆形对称光束.     

A search for resonant two-step α-exchange in 6Li + 12C scattering

Excitation functions for ¹²C(⁶Li, ⁶Li)¹²C (gs, 4.43 MeV) have been measured at 10 angles (40° ? θ_cm ? 160°) over the energy range 20 MeV < E_lab < 36 MeV. A single anomaly of width Γ ≈ 800 keV is observed at E_lab = 22.8 MeV. The results casts doubts on the resonant two-step α-exchange mechanism suggested to occur in this system.     

Heavy-ion reactions at forward angles with CMS (LHC)

Reactions seen only in cosmic rays will be studied by three forward angle, θ<5.7° (|η|>3), detectors at CMS. These detectors look at ?erenkov radiation from quartz fibers embedded in a heavy-metal matrix to deal with the exceptionally large particle fluxes.     

High-resolution measurement of NMR-ON for191PtFe

NMR-ON measurements on¹⁹¹PtFe were repeated to look for a reported quadrupole splitting effect: a sample annealed at 850°C and measured at 15.1(6) mK gives a spectrum with a single gaussian peak with a line width of 0.39(4) MHz, the narrowest ever observed. The spectrum obtained with another sample annealed at 650°C and measured at 8.3(4) mK resembles one with a quadrupole splitting, but the ratio of the second sub-resonance to the first is inconsisten with the estimation from a model which takes account of a quadrupole splitting and fast relaxation limit. The present study shows the quadrupole splitting ofv _Q (¹⁹¹PtFe)≤0.86 MHz.     

Adsorption and surface structural chemistry of Na and Na + O2 on Ag(110)

The adsorption of Na and the coadsorption of Na and O₂ on Ag(110) have been studied by LEED, thermal desorption, and Auger spectroscopy. For Na coverages in the regime 0 < θ_Na < 2 the Na desorption spectra show a single peak (β) corresponding to a desorption energy of ～195 kJ mol^?1, and at θ_Na ～ 2 a (1 × 2) LEED pattern appears. At still higher coverages (2 < θ_Na < 5), a (1 × 3) surface phase is formed, and a new peak (α) appears in the desorption spectra; this is identified with Na desorption from an essentially Na surface. The desorption energy of αNa (～174 kJ mol^?1) indicates that Na adatoms beyond the first chemisorbed layer are significantly influenced by the presence of the Ag substrate. The initial sticking probability of O₂ on Na-dosed Ag(110) is enormously enhanced over the clean surface value, being of the order of unity, and O₂ chemisorption ultimately leads to a (4 × 1) surface structure. The presence either subsurface Na alone, or of both Na and O below the surface, causes substantial changes in surface behaviour. In the former case, submonolayer doses of Na lead to the appearance of a (1 × 2) structure; and in the latter case, Na + O₂ coadsorption results in a c(4 × 2) structure. Auger spectroscopy indicates that the Ag(110)-c(4 × 2)$\text{Na}\text{O}$ phase forms with a constant stoichiometry which is independent of the initial Na dose. The Na:O ratio in this adlayer is believed to be of the order of unity. The structures of the various ordered phases, the nature of the AgNa bonding, and the interatomic spacing between the alkali adatoms on Ag(110) are discussed.     

Point-defect properties of,and sputtering events in,the {001} surfaces of Ni3Al. II. Sputtering events at and near surfaces

Atomic recoil events at and near {001} surfaces of Ni₃Al due to elastic collisions between electrons and atoms have been simulated by molecular dynamics to obtain the sputtering threshold energy as a function of atomic species, recoil direction and atomic layer of the primary recoil atom. The minimum sputtering energy occurs for adatoms and is 3.5 and 4.5?eV for Al and Ni adatoms on the Ni–Al surface (denoted ‘M’), respectively, and 4.5?eV for both species on the pure Ni surface (denoted ‘N’). For atoms within the surface plane, the minimum sputtering energy is 6.0?eV for Al and Ni atoms in the M plane and for Ni atoms in the N surface. The sputtering threshold energy increases with increasing angle, θ, between the recoil direction and surface normal, and is almost independent of azimuthal angle, ?, if θ<60°; it varies strongly with ? when θ>60°, with a maximum at ??=?45° due to ?{110}? close-packed atomic chains in the surface. The sputtering threshold energy increases significantly for subsurface recoils, except for those that generate efficient energy transfer to a surface atom by a replacement collision sequence. The implications of the results for the prediction of the mass loss due to sputtering during microanalysis in a FEG STEM are discussed.     

Ultrasoft X-ray spectroscopy investigation of the model system Si-SiO2

SiO₂ surface films with different thicknesses (ranging from 20 to 630 Å), grown on a crystal silicon substrate, have been investigated by the method of reflection and scattering of ultrashoft X-rays. It is shown on the basis of a simultaneous analysis of the SiL _{2, 3} reflection spectra and the scattering indicatrix that the critical angle θ_c for total external reflection for SiO₂ at λ = 57 Å lies in the range 4.5 °–°. The angular dependence of the thickness of the surface layer that forms the specular reflection is obtained. It is shown that the surface layer, whose thickness corresponds to the penetration depth of the radiation into the material with glancing angle close to the critical value θ_c, plays a large role in the formation of the anomalous scattering peak (Yoneda peak).     

Preparation and characterisation of calcein-doped thin coatings

Silica sol-gel coatings doped with calcein (CA) were prepared and optically charecterised by means of UV-VIS spectroscopies (optical absorption and luminescence). In addition, the stability of samples against thermal treatment, UV exposure and alkali attack (chemical durability) were studied. Microstructure was verified using transmission electron microscopy and specific surface area was measured using the BET method. Results highlighted the ability of sol-gel coatings to react reversibly to pH changes when immersed in liquid media at different pH values. The limits for maximum optical absorption sensitivity were determined to be 5<pH<9, while the 8.5<pH<14.0 and 0<pH<2ranges could be detected using photoluminescence spectroscopy. Stability studies showed good behaviour against UV (maximum loss of 50% in peak intensity after 30 h of continuous exposure) and good chemical durability under alkaline conditions (80 h attack time was necessary to reduce the percentage absorption to 50%). Thermal stability of doped films was good up to 130 °C (in this range a reduction of about 25% in the intensity of the initial peak absorption is lost). Received: 26 September 2000 / Accepted: 29 January 2001 / Published online: 30 August 2001     

Effects of W and Mo crystalline texture on the angular distribution of sputtered atoms

The effects of W and Mo surface crystalline texture on the angular distribution of sputtered atoms were investigated experimentally and by computer simulation. A small-sized planar DC magnetron was used to sputter the target by 200–300 eV Ar⁺ ions. The crystalline texture was formed under rolling of metal foils and during the preparation of metal bars and was controlled by X-ray diffraction analysis. For W and Mo foils, a strong anisotropy of the angular distribution was found. The character of angular distribution was different in the planes oriented perpendicularly and in parallel to the direction of rolling. In the first case, the angular distribution was peaked at the polar angle θ=0, while in the second case, the angular distribution, in addition to a maximum at θ=0, revealed a pronounced maximum at θ≈ 57° and ≈60° for Mo and W, respectively. For bars, no azimuthal anisotropy was observed, but the angular distribution was peaked at θ=37° (Mo) and θ=45° (W). This is in contrast to the case of non-textured Mo and W polycrystals, for which the angular distribution had a maximum at θ=0. Computer simulation technique in combination with the results of X-ray analysis was used to clarify the above experimental findings. It was demonstrated that the angular distribution of sputtered atoms can be successfully used for the determination of the crystalline texture of metals.     

Possibilities of achromatization of coaxial asymmetric phase shifters with an even number of reflections

Two types of coaxial phase shifters (PSs) are considered. They are designed for spectral ellipsometry, where achromatism is improved using a pair of parallel Al mirrors oriented at small angle θ₂ with respect to the incident laser beam. In a phase device based on a fused silica Fresnel rhomb, a high degree of achromatism (Δ = 440° ± 0.4° in the wavelength range of 250–1000 nm) is obtained with the aid of two Al mirrors coated by a native oxide layer about 5 nm thick and tilted at θ₂ = 18°. The achromatism of four-mirror PSs can be improved using two mirrors with a thin dielectric coating (Al₂O₃ or MgF₂) 20–80 nm thick, for which phase shift Δ is close to 180° at small angles θ₂ and there are fragments of spectrum Δ(λ) where Δ decreases with an increase in the light wavelength.     

Synchrotron far‐infrared spectroscopy of corroded steel surfaces using a variable angle of incidence

Far‐infrared spectroscopy, using a synchrotron source, has been used to study carbon steel corroded in CO₂‐saturated brine in the presence and absence of the corrosion inhibitor 2‐mercaptopyrimidine (MPY), which allowed the steel surface roughness to be modified. The effect of the angle of incidence (θ_i, 30–80°) on the band intensity and observed bands of the spectra from these surfaces has been determined. For the MPY‐treated steel (low surface roughness) the highest band intensity is observed at high θ_i (80°) and different bands were observed at different θ_i. In contrast, for the MPY‐free steel (high surface roughness) the highest band intensity is observed at low θ_i (30°) and spectral content changes were not observed. The results are explained in terms of the roughness of the MPY‐treated and MPY‐free steels, and their effect on the level of diffusely reflected light of the incident infrared beam.     

用MAEAM法计算Ag/Ni的界面能

采用改进分析型嵌入原子法计算了Ag(111)//Ni(001)和Ag(001)//Ni(111)扭转界面的能量，结果表明：对Ag(111)//Ni(001)界面，当扭转角等于0°（或30°）时界面能最小，这一择优扭转角取向和Gao等人的实验结果一致；同样，对Ag(001)//Ni（111）界面，当扭转角等于0°（或30°）时界面能最小；从界面能最小化考虑，Ag(001)//Ni(111)扭转界面的择优扭转角也为0°（或30°）. 关键词： Ag/Ni界面 界面能 计算 改进分析型嵌入原子法 近重合位置点阵     

Dynamic mechanical behavior of poly[ethylene terephthalate] from 4.2 to 300°K

The dynamic shear behavior of poly (ethylene terephthalate) (PET) has been investigated in the 4.2—300°K temperature region using a freely oscillating torsion pendulum at frequencies of 0.4 to 2 cps. Uniaxial stretching (draw ratio 3:1) of an amorphous specimen resulted in the appearance of a definite maximum in both the damping, δ, and the loss modulus, G', at 30°K (0.7 cps). Filled unstretched PET samples exhibited small loss maxima in the 50—90°K region. For biaxially stretched heat-set specimens the splitting of the β-damping peak (220°K, 1 cps) is found to depend on the orientations of molecular chain axes with respect to the torsion axis.     

Computer simulation of atomic mixing during ion bombardment

The atomic mixing in the target under ion bombardment is assumed to result from cascades of atomic collision events. Computer simulations have been applied to collision cascades to estimate the depth resolution of surface analysis with an ion probe. The Monte Carlo method based on a single scattering model has been used mainly in the calculation under the assumptions of random collision process, no diffusion and no target saturation processes. High-energy collisions are characterized by a Lenz-Jensen or a Thomas-Fermi potential, while a Born-Mayer potential is used in the low energy region. The simulations have been performed for the bombardment of Ar ions withE ₀=5 keV and 10 keV at angles of incidence θ=0° and 60° on Si targets. The depth resolutions [the definition of which is explained by (15) in the text] are about 140Å for the Lenz-Jensen cross section and about 80Å for the Thomas-Fermi one for θ=0° atE ₀=5 keV, and decrease by 20–40% at θ=60° and increase by 70–90% forE ₀=10 keV.     

The effect of pre-irradiation annealing on the thermoluminescence of LiF:Mg,Cu, P phosphor grown by EFG technique

LiF crystal doped with magnesium (Mg), copper (Cu) and phosphorous (P) was grown in the form of multicrystalline sheet using Edge-defined film-fed growth (EFG) technique for dosimetry application. These crystals were grown in argon gas atmosphere using graphite crucible and stainless steel die. Dosimetry peak was observed at 210 °C for as-grown crystal. As reported earlier LiF:Mg, Cu, P is a highly sensitive material but losses its sensitivity if annealed at temperature above 240 °C. In this paper, the effect of annealing temperature on thermoluminescence glow-curve structure, maximum peak temperature, peak height and integrated area of the glow peak of EFG grown samples was investigated in detail. Annealing temperature range from 220 °C to 500 °C was considered for the study. Experimental results of the obtained glow curve show that with increase in annealing temperature, glow peak shift towards higher temperature region with substantial increase in TL intensity. Annealing at 500 °C for 10 min gave maximum TL intensity with main dosimetry peak positioned at 233 °C. Change in the defect structure with different pre-annealing temperature was analysed using trapping parameters.     

Scattering of low energy Na+ ions from a clean polycrystalline Ag surface

The energy distributions of low energy (E₀ = 0.4–3.2 keV) Na⁺ ions scattered from a clean polycrystalline Ag surface were measured. The angle between the incident beam and the surface was fixed at ψ = 45° while the scattering angle (θ) ranged from 50 to 130°. The cleanliness of the surface during the measurement was maintained by simultaneous deposition of Ag atoms from an effusion source. The obtained distributions considerably differ from the corresponding distributions of noble ions. Firstly, for all measured values of E₀ and θ, an intensive hump is observed in the high energy part of the distribution. In certain cases this hump is transformed into a peak. Secondly, the low energy part of the distribution is very pronounced, especially for higher values of E₀ and θ.     

Halleffekt und anisotropie der beweglichkeit der elektronen in ZnO

Hallconstant, conductivity and Hall mobility of ZnO crystals were measured as function of temperature (4 °K < T < 370 °K) and orientation. Value and anisotropy of mobility can be explained (50 °K < T < 370 °K) by polar optical scattering, deformation potential sc., piezoelectric sc. and sc. by ionized impurities. The anisotropy of mobility is caused only by piezoelectric sc. Maximum values of μ_H are reached for μ_H ⊥ c, with 2400 cm²/V sec at 40 °K and for μ_H ¦ c with 1350cm²/Vsec at 60 °. Below 50 °K Hallconstant, conductivity and Hall mobility are influenced by impurity band conduction processes. The crystals have impurity concentration in the 10¹⁶ cm^?3 range, but they show different donor activation energies depending on growth conditions: Type I: 38,4 meV (50 °K < T < 100 °K) and Type II: 20,3 meV (50 °K < T < 100 °K) and 6 meV (25 °K < T < 50 °K).     

Room temperature adsorption and growth of Ga and In on cleaved Si(111)

Low energy electron diffraction (LEED), Auger electron spectroscopy (AES) and photoemission yield spectroscopy (PYS) measurements have been performed on a set of ultrahigh vacuum cleaved Si(111) surfaces with different bulk dopings as a function of Ga or In coverage θ. The metal layers are obtained by evaporation on the unheated substrate and θ varies from zero to several monolayers (ML). First, the 2×1 reconstruction of the clean substrate is replaced by a $\text{3}\text{×}\text{3}$ R30° structure at $\text{1}\text{3}$ ML, meanwhile the dangling bond peak at 0.6 eV below the valence band edge E_vs is replaced by a peak at 0.1 eV for Ga or 0.3 eV for In, below E_vs. At the same time, the ionization energy decreases by 0.4 eV (Ga) or 0.6 eV (In), while the Fermi level pinning position gets closer to the valence band edge by about 0.1eV. Upon increasing θ, new LEED structures develop and the electronic properties keep on changing slightly before metallic islands start to grow beyond θ ～1 ML.