THE PROBABILISTIC REPRESENTATION FORMULAE FOR COSINE OPERATOR FUNCTIONS

In this paper we obtained general representation formulae for strongly continuous cosine operatorfunctions via probabilistic approach,which include Webb's[1]and Shaw's[2]formulae and some newone as special cases.We also give the quantitative estimations for the general formulae.     

FTS-20E富里叶红外光谱仪数据系统改造

报道了ＦＴＳ－２０Ｆ富里叶红外光谱仪数据系统改造的工作采用ＩＢＭ４８６计算机及新的数据接口取代了陈旧的ＮＯＶＡ４数据系统，文章详细描述了其硬件设计和软件编辑，改造不仅更新了ＦＴＳ－２０Ｅ里叶红外光谱仪，而且还使其达到９０年代的水平。     

对一道复合函数题的反思

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Calculations of dynamic multipolar polarizabilities of the Cd clock transition levels

The pursuit of a systematic frequency uncertainty beyond 10^-18 clock has triggered a multitude of investigations on the multipolar and higher-order lattice light shifts. The Cd atom has been proposed as a new candidate for the development of a lattice clock because of its smaller blackbody radiation shift at room temperature. Here, we apply an improved combined method of the Dirac-Fock plus core polarization and relativistic configuration interaction methods to calculate the dynamic multipolar polarizabilities of the Cd clock states. The effects of the high-order core-polarization potentials on the energies, reduced matrix elements, and multipolar polarizabilities have been evaluated systematically. The detailed comparison with available literature demonstrates that taking into account of the high-order core-polarization potentials is a simple and effective approach to improve the results of atomic properties for heavy atoms.     

高压拉曼光谱方法研究联苯分子费米共振

测量了0—15 GPa压强下联苯分子的拉曼光谱. 结果表明,随压强增加,分子内和分子间π-π共轭和离域效应增强,谱线的绝对强度变大、蓝移. 联苯分子的两费米共振谱线强度比R_f/a减少,频率差Δ增加,当压强为8 GPa时,费米共振现象消失,利用Betran理论得出了固有频率差Δ₀和耦合系数ω随压强的变化关系,通过高压下相变进行了解释,并探讨了高压下费米共振耦合变弱的机理. 关键词： 联苯 费米共振 高压 拉曼光谱     

高压拉曼光谱方法研究卟啉J-聚集体

本文利用金刚石对顶砧(DAC)和拉曼光谱技术,测量了四苯基卟啉J聚集体在13GPa内的高压拉曼光谱,根据各个拉曼谱带的频移-压强变化曲线得出在13GPa内Tpp J聚集体无相变发生,并且高波数(1010～1600cm-1)和低波数(230～330cm-1)区的斜率要远大于中等波数(380～1000cm-1)区,这表明对应于高波数和低波数区的化学键比中等波数区更具有易压缩性,并对体积的减小起着重要的作用。根据苯环ψ3C-C面内伸缩振动模式强度逐渐增强的现象提出了分子弹簧垫圈模型。此外,这种分子弹簧垫圈的劲度系数可以通过中位取代基团调控。     

A polyene chain of canthaxanthin investigated by temperature-dependent resonance Raman spectra and density functional theory （DFT） calculations

We report on a temperature-dependent resonance Raman spectral characterization of the polyene chain of canthax- anthin. It is observed that all vibrational intensities of the polyene chain are inversely proportional to temperature, which is analyzed by the resonance Raman effect and the coherent weakly damped electron/lattice vibrations. The increase in intensity of the CC overtone/combination relative to the fundamental with temperature decreasing is detected and discussed in terms of electron/phonon coupling and the activation energy Uop. Moreover, the polyene chain studies using the density functional theory B3LYP/6-31 G＊ level reveal a prominent peak at 1525 cm-1 consisting of two closely spaced modes that are both dominated by C=C stretching coordinates of the polyene chain.     

四氯化碳ν_1振动在费米共振光谱特性参数中的作用

研究了CCl4的ν1+ν4与ν3的费米共振现象。结果表明ν1振动频率是影响费米共振红外和拉曼光谱特性参数(峰位差Δ,耦合系数W,光谱强度比R,非谐力常数K等)的主要因素,而其光谱强度大小却与这些参数无直接关系。本文用Berttran理论和群论对这一结果给以解释。该研究对理解费米共振现象和分子结构研究中的谱线归属等有参考价值。     

傅里叶变换红外光谱结合化学计量学鉴别预包装纯菠萝汁中外源糖

为了快速、准确鉴别预包装纯菠萝汁是否掺有外源性糖,采用傅里叶变换衰减全反射中红外光谱技术采集900～1 500 cm-1范围内不同批次的预包装纯菠萝汁样品和掺入甜菜糖浆、大米糖浆、木薯糖浆的菠萝汁掺假样品的中红外光谱共计234例,以线性判别分析和支持向量机分析为掺假鉴别模型的建模方法,比较了全波段谱图与通过主成分载荷系数分析选取特征波长图谱的两种掺假鉴别模型。研究表明,全波段图谱的线性判别分析和支持向量机分类模型对验证集的判断正确率均高于88%;选取8个特征波长之后,线性判别分析模型验证集判断正确率提高至96.15%,支持向量机模型验证集判断正确率提高至94.87%,且模型输入变量由312个减少到8个。利用傅里叶变换衰减全反射中红外光谱技术结合化学计量学方法选取特征波长后建立的模型可以较好的应用于预包装纯菠萝汁外源糖的鉴别。     

Excitonic Coupling between B and Q Transitions in Porphyrin Aggregates

The properties of meso-tetraphenylporphine （TPP） aggregates formed in acidic aqueous-organic solutions are investigated by UV-vis spectroscopy. According to the absorption spectra, the Q band absorption of the aggregated TPP shows red shift and intensity enhancement, and a model that includes the participation of water molecules in a porphyrin aggregation complex is proposed, then a qualitative explanation based on Gouterman＇s excition coupling theory is presented. Calculations including eigenenergies, eigenstates and the transition dipole strength of the coupled states are carried out.