SERS: a versatile tool in chemical and biochemical diagnostics

Raman spectroscopy is a valuable tool in various research fields. The technique yields structural information from all kind of samples often without the need for extensive sample preparation. Since the Raman signals are inherently weak and therefore do not allow one to investigate substances in low concentrations, one possible approach is surface-enhanced (resonance) Raman spectroscopy. Here, rough coin metal surfaces enhance the Raman signal by a factor of 10⁴–10¹⁵, depending on the applied method. In this review we discuss recent developments in SERS spectroscopy and their impact on different research fields.     

The ring of evenly weighted points on the line

Let \(M_w = ({\mathbb {P}}^1)^n /\!/\hbox {SL}_2\) denote the geometric invariant theory quotient of \(({\mathbb {P}}^1)^n\) by the diagonal action of \(\hbox {SL}_2\) using the line bundle \(\mathcal {O}(w_1,w_2,\ldots ,w_n)\) on \(({\mathbb {P}}^1)^n\) . Let \(R_w\) be the coordinate ring of \(M_w\) . We give a closed formula for the Hilbert function of \(R_w\) , which allows us to compute the degree of \(M_w\) . The graded parts of \(R_w\) are certain Kostka numbers, so this Hilbert function computes stretched Kostka numbers. If all the weights \(w_i\) are even, we find a presentation of \(R_w\) so that the ideal \(I_w\) of this presentation has a quadratic Gröbner basis. In particular, \(R_w\) is Koszul. We obtain this result by studying the homogeneous coordinate ring of a projective toric variety arising as a degeneration of \(M_w\) .     

勾形磁场对分离结晶法制备CdZnTe晶体的影响

为了了解勾形磁场对CdZnTe晶体生长质量的影响,利用有限元法对坩埚内的热量和动量传递过程进行了全局数值模拟。假定熔体和气相中的流动都为准稳态轴对称层流,研究了B_o(磁场轴线与晶体-坩埚界面的交点的磁场强度的轴向分量)为0 T,0.5 T,1.0 T,1.5 T,2.0 T,2.5 T,3.0 T时的CdZnTe晶体生长过程。结果表明:勾形磁场能有效抑制熔体内的流动,会产生由洛仑兹力、表面张力和浮力共同驱动的涡胞。随着磁场强度的增加,传热向导热型转变,熔体内最大流函数逐渐减小,抑制作用增强。     

正交优化红枣多糖的超声波提取工艺

建立了UV-Vis分光光度测定红枣中多糖含量的方法.考察了乙醇体积、超声温度、超声时间、料液比4因素对多糖含量测定的影响.在单因素试验结果的基础上,进行正交试验设计,试验结果表明:最佳测定条件为A2B2C3D2,即超声温度为50℃,超声时间为60min,料液比为1∶30(g/mL),乙醇用量为30mL.方法平均回收率为96.87％,RSD为1.11％(n=5).该法快速、灵敏、准确,可用于红枣多糖的提取及含量测定.     

Leptonic and charged kaon decay modes of the phi meson measured in heavy-ion collisions at the CERN super proton synchrotron

We report on results of a measurement of meson production in central Pb-Au collisions at E(lab) = 158A GeV. For the first time in the history of high energy heavy-ion collisions, phi mesons were reconstructed both in the K+K- and the dilepton decay channels in the same experiment. This measurement yields rapidity densities near midrapidity, from the two decay channels, of 2.05 +/- 0.14(stat) +/- 0.25(syst) and 2.04 +/- 0.49(stat) +/- 0.32(syst), respectively. The shape of the measured transverse momentum spectrum is also in close agreement in both decay channels. The data rule out a possible enhancement of the phi yield in the leptonic over the hadronic decay channel of a factor 1.6 or larger at the 95% C.L. This rules out the discrepancy reported in the literature between measurements of the hadronic and dimuon decay channels by two different experiments.     

Asymptotic cohomological functions of toric divisors

We study functions on the class group of a toric variety measuring the rates of growth of the cohomology groups of multiples of divisors. We show that these functions are piecewise polynomial with respect to finite polyhedral chamber decompositions. As applications, we express the self-intersection number of a T-Cartier divisor as a linear combination of the volumes of the bounded regions in the corresponding hyperplane arrangement and prove an asymptotic converse to Serre vanishing.     

高温超导薄膜生长机理初探

在3×10×0.5mm3的LaAlO3(001)基片上,利用直流磁控溅射生长一层厚度约为700nm的非晶态Tl2Ba2CaCu2Ox先驱薄膜.将先驱薄膜与热处理过的Tl2Ba2Ca2Cu3Oy块材(作为Tl源)一起在720～860℃温度下退火.为了研究薄膜的初期成核情况,退火时间一般为5分钟.利用XRD和完全抗磁性测试方法对样品的成相情况进行研究,结果显示,在薄膜生长的初期,较高的退火温度可以获得较大尺寸的初期生长核,但是退火温度达到860℃时,初期成核的晶粒尺寸变小.     

Eine Beziehung zwischen Binomialkoeffizienten und Primzahlpotenzen

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