(R)-1,3丁二醇的手性不对称性：微分键极化率的研究

本文从(R)-(-)-1,3-丁二醇 ((R)-(-)-1,3-Butanediol) 的拉曼峰强和拉曼旋光峰强, 求得其键极化率和微分键极化率, 得出在拉曼过程中, 电荷主要沿H16 (或H15) O6C3C2C1O5所形成的 (六边) 环向外围的OH键和CH 键流动. 而此环内外化学键的微分键极化率的符号正好相反, 此意味着这个分子具有相当好的手性不对称性质. 关键词： 旋光拉曼 键极化率 微分键极化率 1,3-丁二醇     

手性分子2, 3-丁二醇的旋光拉曼光谱研究

本文从拉曼峰和旋光拉曼峰出发,通过键极化率和微分键极化率分析研究(2R, 3R)-2, 3-丁二醇. 通过分子C₁和C₂两种点群的优化结构,获得不依赖于这两种结构的结果 和有关这个手性系统物理图像的丰富信息.对分子拉曼键极化率分析,得出在拉曼弛豫过程中, 电荷主要从外围流向骨架结构.对分子微分键极化率的分析,显示在不对称C原子和与其相联系的H原子 两侧化学键, C-O和C-CH₃的微分键极化率的符号正好相反,意味着这个分子具有相当好的手性 不对称性质.对比对称和反对称的键极化率、微分键极化率,本文得到这样的结论: 对于(特别是键伸缩的)键极化率,(大体上是)对称的大于反对称的; 而对于微分键极化率则是反对称的大于对称的. 关键词： 旋光拉曼 键极化率 微分键极化率 2,3-丁二醇     

Charge disturbance/excitation in the Raman virtual state revealed by ROA signal: A case study of pinane

The Raman mode intensities are used to extract the bond polarizabilities which are the indication of the charge disturbance/excitation of the Raman virtual state. A classical formula based on the electric and magnetic dipolar coupling among the charges on the atoms is developed which relates the charges and vibrational amplitudes of the atoms in a normal mode to the Raman optical activity(ROA) mode signatures. By fitting with the experimental ROA signatures, we are able to elucidate the scaling parameter which relates the bond polarizability to the electric charge. The result shows that around40% of the charges in pinane are involved in the Raman process under 532 nm laser excitation.     

咔唑分子拉曼激发虚态的相关研究

根据键极化率与拉曼峰强之间的关系,得到咔唑分子拉曼激发虚态随时间演化的键极化率. 将得到的键极化率的末态与用密度泛函理论得到的基态键电荷密度进行了对比,讨论并分析了拉曼激发虚态键极化率随时间弛豫的特征. 研究表明:咔唑分子在拉曼激发初态时,电子由两个骨架六元环向连通两六元环的连通键上流动,而并非向外围的C–H键上流动. 拉曼激发末态键极化率分布趋势与基态键电荷密度分布很相似,说明激发的电子又流回到分子骨架,即弛豫到基态. 通过对拉曼激发虚态键极化率弛豫过程特征时间的研究,发现连通两六元环的C–C键以及靠近连通键的C–C键的键极化率的弛豫时间较其他键的极化率弛豫时间都长,进一步说明了拉曼激发虚态电子弛豫特征. 这些结果反映了咔唑这类具有连通键的多元环分子在拉曼激发虚态所具有的特征与性质,这对拉曼激发虚态的研究有重要意义. 关键词： 拉曼峰强 键极化率 拉曼激发虚态     

A vibrational study of liquid benzene through dispersive Raman spectroscopy using advanced optical elements

A compact experimental setup using advanced optical elements was designed to take Raman spectrum of liquid benzene. All seven Raman active vibrational modes were observed. A simplified mechanical model for two most intense in-phase modes, i.e., ring breathing and C–H stretching, shows that the vibrational contribution to the ratio of C–C and C–H bond strengths is a factor of ～1.66. A simulation of Raman spectrum with Gaussian vibrational bands, weighted by Planck distribution function, yields the vibrational line widths and the relative polarizability changes. A value of 0.74 is estimated for the ratio of change in polarizability of C–H bond to that of C–C bond upon laser excitation from a simple electrostatic calculation, which is comparable with the value of 0.6 obtained from the simulation.     

用表面二次谐波检测L—B单分子膜层的聚合

本文首次报道用光学二次谐波实验检测L-B膜分子单层的聚合.膜层的非线性极化率的改变可用原子基团和价键理论解释.实验结果还提示,紧邻于表面的那层单体分子层的聚合先于其它原分子层.     

On the application of the theory of the brownian movement in a periodic potential to the study of inertial effects and dipole coupling

For a series of ten electron molecules (HF, H₂O, NH₃, CH₄) the molecular polarizability tensor and the derivatives with respect to the symmetry coordinates have been calculated from ab initio SCF wavefunctions using the finite field method as well as perturbation theory approaches. Raman intensities and degrees of depolarization derived from the finite field results agree well with the available experimental data.

The zeroth order bond polarizability model and the atom dipole interaction model have been analysed. Both models can be used to describe the computed static polarizabilities and the derivatives with respect to bond stretching, but fail for the derivatives with respect to the bending coordinates.     

Intensity of a Raman Overtone Band

Placzek [1] was the first to derive general expressions for the intensities of overtones in case of Raman scattering. He assumed electrical anharmonicity. However, he left the expressions for the derivations of the polarizability tensor undetermined. In 1941, a classical and semiempirical theory was developed by Wolkenstein [2]. He assumed the validity of the additivity of bond polarizabilities. However, the expressions derived by him for the intensities of overtones remain yet to be verified. It is the purpose of this paper to derive a formula for Raman polarizability tensor for overtones of (intramolecular) vibrational spectra along the lines of Kondilenko et al. [3,4]     

亚乙基硫脲分子键伸缩模式与全耦合模式键极化率的对比及其拉曼激发虚态的相关研究

从拉曼峰强着手,得到了键伸缩模式与全耦合模式两种不同计算条件下,亚乙基硫脲(ethylene thiourea,ETU)分子的键极化率,并比较分析了两种计算结果的异同.研究表明:在键伸缩模式的算法中,仅考虑势能分布中键对称伸缩比重相对较大的部分拉曼峰参与极化率计算,显然忽略了键伸缩与键弯曲间的相互耦合,造成了与弯曲振动耦合较强的部分键伸缩极化率值存在一定误差.因此,此方法虽能使问题简化,但却丢失了一些信息.而全耦合模式算法考虑了所有振动模式(键伸缩与键弯曲)相互影响的情况,能更全面的反映键电荷的分布情况,但却会使问题的求解过程变得复杂.同时,在拉曼激发虚态的相关研究中,两种计算方法却得到几乎一致的键极化率弛豫方式(呈单指数规律衰减)及相同的衰减特征时间.     

Inclusion of non-orthogonality on the valence bond charge-transfer model for nonlinear optical properties of push—pull molecules

In models based on valence bond theory for predicting nonlinear optical properties of push-pull molecules, the wave functions representing resonance structures are assumed to be orthogonal. We have extended the two-state valence bond charge-transfer model to include non-zero overlap integrals. The resulting model leads to analytic formulae for the polarizability and hyperpolarizabilities, which are related to the overlap and other molecular parameters. In particular we report, as a function of the overlap: (i) relatively weak dependence of the first-order polarizability; (ii) significant variations in both the magnitude and the shape of the response curves corresponding to the second- and third-order polarizabilities. This result may be of relevance in the context of optical switching effects induced by chemical changes (related to the overlap) rather than the more conventional field-induced effect.     

Raman optical activity comes of age

The theory and applications of Raman optical activity (ROA), which measures vibrational optical activity by means of a small difference in the intensity of Raman scattering from chiral molecules in right- and left-circularly polarized incident light or, equivalently, a small circularly polarized component in the scattered light, are briefly reviewed. Thanks to new developments in instrumentation, ROA may be applied to a wide range of chiral molecular species. As well as providing the absolute configuration of small chiral molecules, the application of ab initio methods to the analysis of experimental ROA spectra holds great promise for the determination of the three-dimensional structure and conformational distribution in unprecedented detail. The many structure-sensitive bands in the ROA spectra of aqueous solutions of biomolecules provide detailed structural information including, in the case of proteins, the tertiary fold in addition to secondary structure elements such as helix and sheet. ROA studies of unfolded and partially folded proteins are providing new insight into the residual structure in denatured proteins and the aberrant behaviour of proteins responsible for misfolding diseases. It is even possible to measure the ROA spectra of most intact viruses, from which information about the folds of the major coat proteins and the structure of the nucleic acid core may be obtained. Hopefully this review will stimulate interest in the molecular physics aspects of the subject, and will encourage further theoretical work aimed at extracting maximum information from the plethora of structure-sensitive bands in typical ROA spectra.     

Raman optical activity spectra: basis set and electron correlation effects

Raman and vibrational Raman optical activity (ROA) spectra have been calculated for three molecules: H₂O₂, CHDTF and CHDTOH. The effects of electron correlation on the ROA parameters of these relatively small systems have been investigated by means of the multiconfigurational self-consistent field (SCF) approach. A range of correlation-consistent basis sets has been used in the calculations. The basis set convergence of the calculated ROA parameters is fairly well achieved when sets of at least d-aug-cc-pVTZ quality are used. On the other hand, the aug-cc-pVDZ set seems to be sufficient for a qualitative analysis. Diffuse functions, possibly a double set, are essential to ensure a good quality of the calculated ROA spectrum. In most cases the sign and approximate magnitude of the ROA are correctly predicted at the SCF level, and the corresponding ROA spectra should be considered qualitatively accurate.     

Two-dimensional correlation analysis of Raman optical activity data on the α-helix-to-β-sheet transition in poly(L-lysine)

Raman optical activity (ROA) has evolved into an incisive probe of structure and conformational transitions in polypeptides and proteins revealing many signal patterns characteristic of specific secondary structural elements. In order to further facilitate analysis of ROA spectral intensity variations, two-dimensional correlation methods are applied to ROA and Raman spectra monitoring the α-helix-to-β-sheet transition in poly(L-lysine) as a function of temperature. Pretreatment of data using background subtraction, normalization and gentle smoothing is essential for the successful generation of 2D ROA correlations, 2D Raman correlations and 2D Raman/ROA heterocorrelations. The pseudoscalar nature of ROA spectra results in detailed 2D correlation analyses providing extensive interpretation of spectral intensity variations. Synchronous plots indicate band assignments consistent with established assignments in poly(L-lysine) together with possible new assignments. Corresponding asynchronous plots probe the temporal sequence of the conformational transition indicating distinct temporal phases while monitoring aggregation through a small amount of β-structure present at the start of the experiment ahead of α-helix unfolding. This study demonstrates the potential of 2D correlation analysis as a valuable technique for the extraction of detailed information about aggregation and conformational transitions in polypeptides and proteins from associated ROA and Raman spectra. Results indicate that aggregation of poly(L-lysine) monomers precedes intramolecular conversion of α-helix to β-sheet, which is then followed by fibril formation.     

A novel Raman optical activity instrument operating in the deep ultraviolet spectral region

Raman optical activity (ROA) has been exclusively observed in the visible (VIS) and near‐infrared (NIR) spectral regions to date. During the last few years, we have designed, constructed and tested the first ROA instrument, operating in the deep‐ultraviolet (DUV) spectral region employing 244‐nm excitation. This novel DUV ROA instrument is based on a backscattering geometry and incident circular polarization modulation (ICP); it makes use of a fast DUV imaging lens‐based spectrograph and specially designed DUV grade polarization optics. The performance of this instrument has been evaluated by analysing measured non‐resonant DUV ROA spectra of non‐absorbing enantiomeric liquid samples and by comparing these with corresponding ROA spectra recorded in the visible spectral region. Copyright © 2015 John Wiley & Sons, Ltd.     

基于键极化加和模型及其实验修正方法的超拉曼微观极化率张量元微分的简化方案-C2v对称性

相干反斯托克斯拉曼光谱(CARS) 和相干反斯托克斯超拉曼光谱(CAHRS)等高阶非线性光谱技术已经应用在动力学过程、基因表达谱筛选、高分辨率光谱分析等诸多领域。但因其涉及到的高阶微观极化率张量元数量众多,对其光谱信号进行定量分析非常困难。文献通过理论分析将CARS和CAHRS的微观极化率张量元分解为拉曼微观极化率张量元微分α′_i′j′和超拉曼微观极化率张量元微分β′_i′j′k′的乘积,将高阶光谱定量分析的困难简化为对低阶光谱的分析。该研究处理了具有C_2v对称性分子基团,提出一种利用键极化加和模型及其实验修正的方法简化超拉曼微观极化率张量元微分β′_i′j′k′比值的方案。首先利用键极化加和模型方法,在对C_2v分子基团局域模式假设的基础上,进行单键的局域模式假设,通过对单键伸缩振动进行简正振动模式的分析,并与单键的偶极矩表达式进行比较,得到单键的超拉曼微观极化率张量元微分β′_i′j′k′。在单键β′_i′j′k′结果的基础上利用键极化加和模型,对C_2v分子基团进行对称性分析,将基团中两个单键伸缩振动的β′_i′j′k′耦合,得到C_2v分子基团对称振动和反对称振动两种简正振动模式的超拉曼微观极化率张量元微分β′_i′j′k′的表达式。在此基础上对C_2v分子基团对称振动和反对称振动的β′_i′j′k′表达式进行理论推导,结合对应振动模式下不同偏振组合的超拉曼退偏率ρ_HR-SS和ρ_HR-AS及HV偏振组合时实验测量的超拉曼光谱强度比,得到超拉曼实验修正的C_2v分子基团β′_i′j′k′之间的比值。再结合文献中拉曼实验修正的拉曼微观极化率张量元微分α′_i′j′之间的比值,即可得到C_2v分子基团CARS和CAHRS的微观极化率张量元之间的比例关系,为定量分析高阶非线性光谱信息提供理论基础。     

Electro-optical parameters and Raman intensities of CH4, CH3D,CH2D2, CHD3 and CD4

The absolute Raman intensities and the depolarization ratios of the vibrational bands of gaseous CH₄, CH₃D, CH₂D₂, CHD₃ and CD₄ have been computed here using a compact formulation of the bond polarizability theory, in its zero and first-order approximations. The agreement with experimental values taken from the literature is very good for the first-order approximation, although the difference between both approximations is not very large for these molecules. The derivatives of the polarizability with respect to the symmetry coordinates of methane are given with signs that are physically meaningful.     

Determination of the lifetime of an ion-molecular hydrogen bond from vibrational spectroscopy data

The mutual influence of the orientational relaxation of polyatomic anions of different types of symmetry in aqueous solutions and the rupture of H bonds is examined. It is demonstrated that the experimentally measured correlation times of the dipole moment and Raman polarizability tensor of linear anions can be interpreted as the time of the interaction of the anion with water molecules. The reorientation of perchlorate ion in water is accompanied by the rupture of the ion-molecular bond, being associated with the reorientation of the hydration shell. The reorientation of sulfite, nitrate, and carbonate ions does not result in the rupture of the ion-molecular bond, and hence, the orientational relaxation of these anions can be considered as a lower limit of its lifetime.     

Calculations of Nonlinear Refractive Index of Alkali Halides

Theoretical values of the nonlinear refractive index n₂ of 16 rock salt-structure alkali halides are presented. The approach employed is based on the Phillips–Van Vechten interpretation of the bond polarizability model. Our results show that in halides with the same cation a monotonic, strong increase in n₂ with the linear refractive index can be observed.     

二元碱金属硅酸盐精细结构和拉曼光谱的从头计算研究

应用量子化学从头计算方法研究了二元碱金属硅酸盐的精细结构,对典型的系列二元碱金属硅酸盐离子簇模型采用6-31G(d)基组和闭壳层Hartree-Fock(RHF)方法优化构型,并计算了二元碱金属硅酸盐的拉曼光谱,采用硅氧四面体应力指数这一精细结构参数分析和讨论了计算得到的非桥氧高频区对称伸缩振动频率和其拉曼光学活性,以及不同阳离子对该拉曼光学活性的影响。研究表明,二元碱金属硅酸盐非桥氧高频区对称伸缩振动频率与其精细结构密切相关,而且与Q₃相连的Q₄会对该Q₃的拉曼光学活性表现出增强作用。这说明二元碱金属硅酸盐的拉曼散射等性质主要依赖于其精细结构而非其初级结构单元-硅氧四面体。研究还表明,半径较大的阳离子有利于增强离子簇的拉曼光学活性,但对于小的离子簇,过多的电荷迁移反而会起到抑制作用。     

Systematic study of the relationships between energy levels of Tl(1), Tl centers and the crystalline environment

In this paper, we present the first systematic study of the relationships between energy levels of Tl⁰(1) and Tl²⁺ centers in alkali halides and the crystalline environment by using dielectric theory of chemical bond for complex crystals. It is found that the coordination number of the central ion, the bond volume polarizability, and the fractional covalence of the chemical bond between the central ion and the nearest anion are the three determinative parameters for the absorption band energy. Four empirical formulas are proposed. The calculated results are in good agreement with the experimental values. The current model can serve as a prediction tool and can be applied to assign the absorption band energy of Tl⁰(1) and Tl²⁺ centers.