Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.     

A processing method enabling the use of peak height for accurate and precise proton NMR quantitation

In NMR, peak area quantitation is the most common method used because the area under a peak or peak group is proportional to the number of nuclei at those frequencies. Peak height quantitation has not enjoyed as much utility because of poor precision and linearity as a result of inconsistent shapes and peak widths (measured at half height). By using a post‐acquisition processing method employing a Gaussian or line‐broadening (exponential decay) apodization (i.e. weighting function) to normalize the shape and width of the internal standard (ISTD) peak, the heights of an analyte calibration spectrum can be compared to the analyte peaks in a sample spectrum resulting in accurate and precise quantitative results. Peak height results compared favorably with ‘clean’ peak area results for several hundred illicit samples of methamphetamine HCl, cocaine HCl, and heroin HCl, of varying composition and purity. Using peak height and peak area results together can enhance the confidence in the reported purity value; a major advantage in high throughput, automated quantitative analyses. Published in 2009 by John Wiley & Sons, Ltd.     

固体浸没透镜飞行高度的气浮控制

采用固体浸没透镜的光存储方法是提高光存储密度的比较实用的近场光存储方法,而严格控制SIL下底面与光存储介质之间的亚波长级距离是此光存储系统正常工作的前提.本文采用电容法测量SIL的飞行高度,采用弹性悬臂将SIL加载在转盘表面上,转盘以不同速度转动时SIL将悬浮在不同的高度.计算机首先采集到SIL的飞行高度信息,再与设定的飞行高度作比较,根据比较结果调整转盘转速,从而达到调整SIL飞行高度的目的.采用此方法,可以动态地将SIL的下底面控制在距高速转动的转盘表面上150～600 nm范围内的一定高度上.     

露天矿相邻采区间内排压帮高度及 重复剥离深度的综合优化

分析了不同压帮方式的内排运距特点与计算原理,建立了内排压帮高度及重复剥离深度的数学模型,得出通用的计算公式并给出有效判据。以黑岱沟露天矿为例,采用费用补偿法确定最优的内排压帮高度,利用最小重复剥采比确定最佳的重复剥离深度。研究结果表明:分区开采露天矿相邻采区间内排压帮高度与重复剥离深度需同时确定,以费用补偿法建立的数学模型简单且可靠,研究成果对露天矿相邻采区间生产设计具有指导意义。     

不同高径比石膏试样破坏特性及其能量耗散

采用RMT-150B岩石力学试验机,对七种不同高径比的石膏试样进行了单轴压缩试验,分析其力学特性及其破坏特征.根据单轴压缩力学试验结果,利用能量耗散理论,分析其能量耗散特性.研究结果表明:随轴压应力的增加,石膏试样内部微裂隙先闭合,而后在其尖端产生了新裂隙;新裂隙随轴压应力的增加而逐渐地扩展、贯通、形成破裂面,最终发生剪切滑移破坏;石膏试样的体积应变随轴压应力的增大,经历了先压缩后增加,最后急剧膨胀,表现出明显的非线性变形;石膏试样的峰值应力、弹性模量随高径比的减小而增大;轴向应变和横向应变随高径比的减小而减小;变形模量与高径比之间的关系不明确,不能用其表征石膏试样的变形特性;高径比越大的石膏试样受压后容易发生剪切破坏,破坏时吸收的能量增量越快,属于脆性破坏,而高径比越小的石膏试样则发生压酥破坏,属于塑性破坏.     

Dispersion in retentive pillar array columns

The method of volume averaging is applied to estimate the Taylor–Aris dispersion tensor of solute advected in columns consisting of ordered pillar arrays with wall retention of the type used in chromatographic separation. The appropriate closure equations are derived and solved in a unit cell with periodic boundary conditions to obtain the dispersion tensor (or the reduced plate height) as a function of the Peclet number (reduced velocity); pillar pattern, shape and size; partition coefficient; and resistance to mass transfer. The contributions of the velocity profile, the wall adsorption, and the mass transfer resistance to the dispersion tensor are identified and delineated. The model is verified by comparing its predictions and obtaining favorable agreement with results of direct numerical simulations and with experimental data for columns containing ordered pillars. The model is then used to study the effect of pillars’ shape and pattern on the longitudinal dispersion coefficient (plate height).     

Analysis of the pure-rotational spectrum in the ν28 = 1 excited torsional state and torsional couplings of trans-ethyl methyl ether

The trans-ethyl methyl ether molecule has three low-lying torsional modes, that is, two inequivalent methyl internal rotations and an asymmetric skeletal torsion. The internal rotations of the CCH₃ and OCH₃ methyl rotors and the skeletal torsion correspond to the vibrational modes, ν₂₈, ν₂₉ and ν₃₀ respectively. In this study, the microwave absorption spectrum in the ν₂₈ = 1 CCH₃ torsional state was analyzed for the first time. Nine hundred fifty seven lines up to J = 48 and K = 4 were assigned, and the rotational, centrifugal distortion and internal rotational tunneling parameters were determined with the use of a tunneling matrix formalism. By combining the present results on the ν₂₈ = 1 torsional state with those for the ν₃₀ = 1 skeletal torsional state and the ν₂₉ = 1 OCH₃ torsional state, torsional couplings are estimated in order to understand quantitatively the inverted A/E sequence patterns observed for those three excited torsional states.     

Radiative effect differences between multi-layered and single-layer clouds derived from CERES, CALIPSO, and CloudSat data

Clouds alter general circulation through modification of the radiative heating profile within the atmosphere. Their effects are complex and depend on height, vertical structure, and phase. The instantaneous cloud radiative effect (CRE) induced by multi-layered (ML) and single-layer (SL) clouds is estimated by analyzing data collected by the Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation (CALIPSO), CloudSat, and Clouds and Earth’s Radiation Energy Budget System (CERES) missions from March 2007 through February 2008. The CRE differences between ML and SL clouds at the top of the atmosphere (TOA) and at the surface were also examined. The zonal mean shortwave (SW) CRE differences between the ML and SL clouds at the TOA and surface were positive at most latitudes, peaking at 120 W m⁻² in the tropics and dropping to −30 W m⁻² at higher latitudes. This indicated that the ML clouds usually reflected less sunlight at the TOA and transmitted more to the surface than the SL clouds, due to their higher cloud top heights. The zonal mean longwave (LW) CRE differences between ML and SL clouds at the TOA and surface were relatively small, ranging from −30 to 30 W m⁻². This showed that the ML clouds only increased the amount of thermal radiation at the TOA relative to the SL clouds in the tropics, decreasing it elsewhere. In other words, ML clouds tended to cool the atmosphere in the tropics and warm it elsewhere when compared to SL clouds. The zonal mean net CRE differences were positive at most latitudes and dominated by the SW CRE differences.     

快速热退火对Co/Si0.85Geo.15肖特基结电学特性的影响

用离子束溅射技术分别在SiO2和单晶Si衬底上沉积了Si1-xGex和Co薄膜.在不同温度下,对Co/Si1-xGex肖特基结进行快速热退火处理(RTA),对处理后的样品进行了表面形貌和电学测量.发现退火温度升高,样品表面粗糙度变大,理想因子也变大,但对肖特基势垒高度(SBH)的影响很小.分析认为,随着退火温度的升高,...     

引信用激光与加速度传感器复合定高技术

比较了不同类型的弹载定高体制,提出了脉冲激光与重力加速度传感器复合定高的定距原理,并对测距误差进行深入分析,得出其定高精度。对设计出的原理样机进行了实验测试,平台倾斜角度检测实验的结果表明,静态条件下最大角度误差小于0.3;0~500 m定高测试实验的结果表明,测量平均值与实际值最大误差为2.5 m,并且与目标距离无关。