几类线性分数阶微分方程解的结构

用分离变量法分析研究时间-空间分数阶线性微分方程解的结构,得到了精确解,并用待定特殊函数法得到了常系数齐次线性分数阶微分方程的精确解,证明了解的存在性,建立了相应解的结构性定理.     

共振拉曼光谱方法研究生长期与光照对树椒果实β-胡萝卜素含量的影响

利用共振拉曼光谱技术,在体测量了室内盆栽树椒果实的拉曼光谱.实验结果表明,树椒果实的β-胡萝卜素含量随成熟期临近而增加,成熟期后(约45天)达最高值;没受光照的树椒果实β-胡萝卜素含量明显低于接受阳光照射的果实含量;生长(成熟)前期受阳光照射部位由黄白色变为紫色,其β-胡萝卜素含量高于其他部位.本文为在体分析水果蔬菜中β-胡萝卜素含量提供了方法和依据,也验证了阳光在植物生长中的作用.     

Jet production at next-to-leading order in p+Au collisions at the RHIC

We calculate jet productions in p+Au collisions at the RHIC at next-to-leading order with perturbative QCD. Inclusive jet transverse energy spectrum, dijet invariant mass spectrum, dijet angular distribution, and corresponding nuclear modification factors for the three observables in p+Au collisions at √s=200 GeV are given, where the initial-state cold nuclear matter (CNM) effects are included by taking advantage of four parametrization sets of nuclear parton distribution functions (nPDFs) - EPS, nCTEQ, HKN and DS. We demonstrate that inclusive jet transverse energy (E_T) spectrum, dijet invariant mass (M_JJ) spectrum with all 4 nPDFs are increased at low E_T or M_JJ, whereas at high E_T or M_JJ large deviation of results with different nPDFs is observed. It is found that the dijet angular distributions in p+Au collisions do not vary relative to those in p+p collisions for all 4 nPDFs.     

Effects of the structural order of canthaxanthin on the Raman scattering cross section in various solvents: A study by Raman spectroscopy and ab initio calculation

In this work,we measure the Raman scattering cross sections(RSCSs) of the carbon-carbon(CC) stretching vibrational modes of canthaxanthin in benzene,acetone,n-heptane,cyclohexane,and m-xylene.It is found that the absolute RSCS of CC stretching mode of canthaxanthin reaches a value of 10 24 cm 2 ·molecule 1 ·sr 1 at 8×10 5 M,which is 6 orders of magnitude larger than general RSCS(10 30 cm 2 ·molecule 1 ·sr 1),and the RSCSs of canthaxanthin in various solvents are very different due to the hydrogen bond.A theoretical interpretation of the magnetic experimental results is given,which is introduced in a qualitative nonlinear model of coherent weakly damped electron-lattice vibration in the structural order of polyene chains.In addition,the optimal structure and the bond length alternation(BLA) parameter of canthaxanthin are calculated using quantum chemistry calculation(at the b3lyp/6-31g(d,p) level of theory).The theoretical calculations are in good agreement with the experimental results.Furthermore,the combination of Raman spectroscopy and the quantum chemistry calculation study would be a quite suitable method of studying the structures and the properties of the π-conjugated systems.     

The effect of an anti-hydrogen bond on Fermi resonance： A Raman spectroscopic study of the Fermi doublet v1-v12 of liquid pyridine

The effects of an anti-hydrogen bond on the v1 v12 Fermi resonance （FR） of pyridine are experimentally investigated by using Raman scattering spectroscopy. Three systems, pyridine/water, pyridine/formamide, and pyridine/carbon tetrachloride, provide varying degrees of strength for the diluent-pyridine anti-hydrogen bond complex. Water forms a stronger anti-hydrogen bond with pyridine than with formamide, and in the case of adding non-polar solvent carbon tetrachloride, which is neither a hydrogen bond donor nor an acceptor and incapable of forming a hydrogen bond with pyridine, the intermolecular distance of pyridine will increase and the interaction of pyridine molecules will reduce. The dilution studies are performed on the three systems. Comparing with the values of the Fermi coupling coefficient W of the ring breathing mode v1 and triangle mode v12 of pyridine at different volume concentrations, which are calculated according to the Bertran equations, in three systems, we find that the solution with the strongest anti-hydrogen bond, water, shows the fastest change in the v1-v12 Fermi coupling coefficient W with the volume concentration varying, followed by the formamide and carbon tetrachloride solutions. These results suggest that the stronger anti-hydrogen bond-forming effect will cause a greater reduction in the strength of the v1-v12 FR of pyridine. According to the mechanism of the formation of an anti-hydrogen bond in the complexes and the FR theory, a qualitative explanation for the anti-hydrogen bond effect in reducing the strength of the v1 - v12 FR of pyridine is given.     

光纤中的拉曼效应

在液芯光纤内产生拉曼效应,可以增强自发拉曼、共振拉曼光谱强度10^3倍;降低受激拉曼光谱荫值功率为10^-1．光纤内拉曼效应在科学研究和教学方面都有广泛应用．     

低浓度样品拉曼光谱的实验研究

在液芯光纤内产生共振拉曼效应,可以提高拉曼光谱强度１０＾９倍。测定了１０＾－１０－１０＾－５ｍｏｌ／Ｌ浓度样品的拉曼光谱。实验结果表明,β－胡罗卜素在ＣＳ２中１５２０ｃｍ＾－１拉曼线的强度（散射系数）、频移、线宽随浓度降低而发生变化。     

丙酮CO键在溶剂中频移变化的几种理论模型比较

测量了丙酮在16种溶剂中CO键的伸缩振动拉曼光谱,并且在Gaussian03程序下采用自恰反应场方法(SCRF)对丙酮在各种溶剂中的拉曼光谱进行了理论计算。用三种溶剂模型的电子给体-受体模型、Kirkwood模型和自恰反应场模型对实验结果进行了分析比较,结果表明Gutmann提出的电子给体-受体模型与实验结果符合的最好,而自恰反应场理论结果要好于Kirkwood模型。通过对三种模型的机理进行分析,得出给体-受体模型在解释电负性比较强的分子键振动光谱比较好,自恰反应场模型不但考虑了介电常数ε,而且考虑了分子大小、构型等因素的影响,模型复杂,计算量比较大,但是因为考虑的因素比较多,所以与实验结果也符合的比较好,而Kirkwood模型的主要参数为ε,模型简单,计算简便,能大致反映频移的趋势,说明介电常数是影响频移的一个主要因素。     

溶液浓度对拉曼光谱线宽和频移影响的实验研究

将液芯光纤技术用于傅里叶变换拉曼光谱测量中,提高拉曼光谱强度10²～10⁴倍.应用该技术,在实验上研究了溶液浓度变化对β-carotene,rhodamine在CS²中的CC键π-π^*跃迁拉曼线频移和线宽的影响.实验结果表明,随着浓度降低(1×10^-7～1×10^-12mol/L),拉曼光谱线峰值发生红移,线宽变窄.