Rotational-vibrational polarizability operator for nonlinear X<Subscript>2</Subscript>Y molecules: Application to the calculation of the Raman spectrum of the H<Subscript>2</Subscript>O molecule

For nonlinear X₂Y molecules, an expression for the transformed polarizability operator is obtained with an accuracy of up to the second order of the theory of perturbation. This operator is applied to the calculation of the intensities of Raman lines of the H₂O molecule. The corrections to the polarizability of the molecule associated with the vibrational-rotational interaction are shown to considerably change the integral intensity of a pure rotational band. The dependence of the average polarizability of the molecule on the vibrational quantum number V ₂, describing deformation vibrations, is estimated.     

The Raman spectra and cross-sections of H2O, D2O, and HDO in the OH/OD stretching regions

We report the OH and OD stretching regions of the vapor phase Raman spectra of H₂O, and of a D₂O/HDO mixture, at room temperature. Also, the corresponding spectrum of H₂O at ∼2000 K in a methane/air flame is reported. These spectra are interpreted in terms of transition moments of the molecular polarizability, based on high-level ab initio calculations of the polarizability surface, and on variational wavefunctions considering the rotational-vibrational coupling in full. As a byproduct of this analysis several tables have been compiled including scattering strengths and assignments for individual rotational transitions of the three species. From these tables the Raman spectra in the OH/OD stretching regions can be simulated over the range of temperatures up to 2000 K for H₂O, and up to 300 K for D₂O and HDO.     

Raman spectra of asymmetric top molecules

A detailed analysis of the Raman-active v ₁, v ₃ (both A-type) and v ₅ (B_c -type) vibration-rotation bands of ethylene is presented. In addition to structural data simulation of the spectra yields values for the polarizability ratios of the totally symmetric bands, giving information on the polarizability ellipsoid as the molecule vibrates. v ₃ is shown to be perturbed by a c-type Coriolis interaction which complicates the interpretation of the negative value of the polarizability ratio required to match the observed spectrum.

The effects of asymmetry are pronounced; one result being the formation of heads in the ^R,PR _{K p} and ^R,P P _{K p} branches of low K _p in the v ₅ band.     

O3+与H2碰撞中非解离电荷转移过程的全量子计算

应用全量子的分子轨道强耦合方法,研究了基态的O³⁺(2s²2p ²P)与氢分子碰撞的非解离电荷转移过程,计算了不同方位角(25°,45°,89°),能量分别为100,500,1000和5000eV/u时的单电子俘获的振动分辨的态选择截面及相应的微分截面.分子轨道强耦合计算中采用了自旋耦合价带理论计算的三原子分子势能面和径向耦合矩阵元.对氢分子的自身转动,采用无限阶的冲量近似方法;对体系的电子运动同H₂或H^{+< 关键词： 非解离电荷转移过程 全量子的分子轨道强耦合方法 无限阶冲量近似 振动冲量近似国家自然科学基金(批准号：10604011 10574020)和国家高技术研究发展计划(863)惯性约束聚变领域资助的课题.}     

Line positions and intensities in the υ2 band of H216O

The constants involved in the rotational expansion of the transformed transition moment operator of the v ₂ band of H₂ ¹⁶O have been determined through a fit of about 110 measured line intensities. A comparison between theoretical and experimental values of these constants is given. The coefficient ²μ _x of the expansion of the dipole moment with respect to normal coordinates is deduced to be

Moreover, a knowledge of the transformed transition moment operator has been used to compute the whole spectrum of the v ₂ band.     

The pair polarizability anisotropy of SF6 in the point-atom-polarizability approximation

The depolarized light scattering intensity and second Kerr virial coefficient for SF₆ are two to three times the values calculated with the dipole-induced-dipole model for the pair polarizability anisotropy and a Lennard-Jones pair potential. Contrary to earlier suggestions, this discrepancy is not attributable to the distribution of polarizable matter within an SF₆ molecule, at least within the point-atom-polarizability approximation. However, the calculated thermal average of the square of the polarizability anisotropy for SF₆ can be doubled by replacing the Lennard-Jones potential with a modified Lennard-Jones potential.     

Coherent laser spectroscopy of RF resonances in liquid

Four-photon polarization spectra of double distilled water subjected to a special treatment in a cavitation chamber and 20% aqueous solution of hydrogen peroxide were recorded in the range ±8 cm⁻¹. All recorded spectra contain narrow (< 0.3 cm⁻¹) resonances corresponding to the frequencies of the rotational spectrum of ortho and para spin isomers of the H₂O molecule. Numerical simulation of the spectra obtained made it possible to quantitatively estimate the contribution of the rotational spectrum to the coherent scattering signal. It was found that the contribution of the para spin isomer of the H₂O molecule to the rotational line spectrum decreases in an aqueous solution of the α-chymotrypsin protein. Apparently, this decrease indicates the selectivity of interaction of biopolymer molecules with different spin isomers.     

Near-Infrared spectral study of aqueous solutions of ethyl alcohol

Summary The 1450 nm band of water, usually assigned tov ₁+v ₃(v ₁ is the symmetric stretching andv ₃ the asymmetric stretching mode of water molecules), has been measured in aqueous ethanol solutions as a function of alcohol concentration at 25°C. A simple analysis of these spectra illustrates the qualitative similarity between the effects of ethanol and those of a temperature decrement on the spectrum of water. The results are compared with other physicochemical measurements available for these mixtures and, on the whole, support the hypothesis that at low concentrations the added ethanol enhances water-water interactions so that the liquid structure resembles an alcohol clathrate of type II of composition ethanol-17H₂O. To speed up publication, the author of this paper has agreed to not receive the proofs for correction.     

Assignment of laser lines in an optically pumped submillimeter and near millimeter laser: (H2CO)3

A large number of emissions is obtained in the submillimeter and near millimeter range with the (H₂CO)₃ laser optically pumped by a CO₂ laser. A study of the microwave absorption spectrum of the molecule carried out simultaneously with the submm analysis allows us to assign six of the laser lines in thev ₅ excited state of the molecule and to determine the rotational constants and vibrational energy ofv ₅.     

Improved molecular constants for the and states of NaH

Improved molecular constants for the and states of the NaH molecule are presented. NaH molecules are produced by reactive scattering of H and Na₂ in a crossed beam experiment. High vibrational levels (6 9) of the NaH molecules are predominantly populated. Their excitation spectrum in the range has been measured using a new variant of Doppler spectroscopy. The transition frequencies involving the vibrational levels 2 8 in the and 6 9 in the state have been determined with an accuracy of better than . Using also previously published data a new set of molecular constants for the and state is derived. In particular, the vibrational dependence of the rotational constants B, D and H as well as some of v”-v' band origins for and is determined. The transition frequencies measured here or published previously are reproduced by these new coefficients with an accuracy of 0.1 cm^-1 [rms value] with a maximum deviation of 0.4 cm^-1. New RKR potential energy curves have been calculated up to the turning points of the levels v” = 9 in the state and v' = 25 in the state. Received 21 August 1999     

Optical properties and upconversion in Yb3+—Tm3+ co-doped oxyfluoride glasses and glass ceramics

A theoretical study has explored the changes brought upon the electron density of the open (C_2v) and cyclic (D_3h) forms of ozone by protonation. Although protonation results in a strong deformation of the electron density of ozone with notably different charge distributions for the stable forms of O₃H⁺, the electric dipole polarizability is almost stable for the open protonated species. The polarizability of the cyclic form is less affected by protonation than that of the open one. The anisotropy of the dipole polarizability discriminates very clearly between open and closed protonated ozone. We expect the present findings to advance our understanding of the chemical reactivity of O₃H⁺.     

The rovibrational Raman spectrum of water vapour v 1 and v 3

The OH stretching region in the Raman spectrum of water vapour has been observed and reproduced by computer simulation using rovibrational wave functions derived from the analysis of high-resolution absorption spectra. Relative intensity measurements allow the determination of the depolarization ratio and the ratio of the two non-vanishing second-order irreducible tensor components for v ₁. These quantities have been combined with the literature value for the cross section of this band to calculate the principal cartesian components of the v ₁ derived polarizability tensor. The cross section for the v ₃ vibration was also determined, and these results are considered in terms of the bond polarizability theory.     

Measurement of the Raman polarizability anisotropy for the v = 1 pure rotational Raman transition in H 2 by rotational Raman spectroscopy

A combination of stimulated Raman pumping and rotational Raman spectroscopy is used to accomplish the first measurement of the polarizability anisotropy γ_11,13 (355 nm) for the S₁₁ (1) transition in molecular hydrogen H₂. Saturation of the Q₀₁(1) transition connecting the |X¹ Σ⁺ _g, v = 0, J = 1 > state to the |X¹ Σ⁺ _g, v = 1, J = 1 > state in H₂ by stimulated Raman pumping is the critical element in this experiment. The observed intensities of the rotational Raman lines for these states allow an estimate of γ_11,13 (355 nm) as 0.358 ± 0.004 ų. A comparison of this value to that obtained from fundamental ab initio calculations in H₂ also is possible for the first time.     

On some new aspects in the conventional theory of vibration-rotation states of molecules

An approach which enables consideration of the problem of determining the energy spectrum of molecules containing vibrations of large amplitude within the framework of the standard Nielsen theory without the use of the Hougen-Bunker-Johns model is presented. The use of the H₂O molecule as an example has shown that such an approach allows the behavior of rotational and centrifugal constants of (0v0) states with the increasing quantum number v to be described not only qualitatively but also quantitatively.     

The rotational Raman spectra and cross sections of H2O, D2O, and HDO

We report the experimental rotational Raman spectra of H₂O, and of a mixture of D₂O and HDO in the vapor phase at room temperature, and their interpretation in terms of rotational–vibrational energies, wavefunctions, and transition moments of the molecular polarizability. These transition moments are based on high-level ab initio calculations of the wavelength dependent polarizability surface, and on wavefunctions where the rotational–vibrational coupling is considered in detail. As a byproduct of this analysis several tables have been compiled including scattering strengths and assignments for individual rotational transitions of the three species. From these tables the rotational Raman spectra can be simulated over the range of temperatures up to 2000 K for H₂O, and up to 300 K for D₂O and HDO.     

Infrared and Raman spectra of aquamolybdenum (VI) oxide hydrate (MoO3·2H2O)

The infrared and Raman spectra of MoO₃·2H₂O are recorded and analysed on the basis of vibrations due to MoO₆ octahedra and H₂O molecules. Considerable changes in the frequencies of the octahedra have been observed due to strong distortion in the octahedral arrangement. The inactivev ₆ vibration of O _h symmetry became active in the Raman spectrum. Co-ordinated (aquated) and hydrated (interlayer) water molecules give rise to different frequencies.     

CS2在Ｃ6H6中的弱费米共振特性及对Bertran公式修正

通过测量CS₂在C₆H₆中不同浓度的拉曼光谱,观察到了纯CS₂与溶液中的v₁—2v₂费米共振明显不同.用Bertran方程,计算了费米共振特性参数.结果表明,随着CS₂浓度降低,两光谱强度比R=I_v1/I_2v2减小,耦合系数W增加,其他参数 关键词： 拉曼光谱 费米共振 溶剂效应 二硫化碳     

Analytical potentials for triatomic molecules from spectroscopic data

A method is described for constructing analytical potentials for the ground states of stable triatomic species from spectroscopic data. The method leads to potentials which reproduce both the equilibrium and asymptotic properties of the molecule. Application of the method to H₂O leads to a potential surface which agrees with known experimental and theoretical data. For example, the predicted reaction coordinate for the C _2v insertion of O(¹D) into H₂ is in good agreement with published calculations.     

结合除谱,差谱,二阶差谱的二氯化铜水溶液中直接接触离子对的紫外可见吸收光谱研究

The microstructure of aqueous CuCl₂ has been studied through lots of technologies for many years; however, it remains a controversial subject. In this study, a new spectroscopic method has been proposed to analyze the UV-visible spectra of thin film of CuCl₂/H₂O solutions at different concentrations. This method is the combination of ratio spectra, difference spectra and second order difference spectra. By using this method, two new bands at ~230 and ~380 nm are obviously observed. The bands are assigned as the contacted ion pairs[CuCl₃(H₂O)_n]^- or[CuCl₄(H₂O)_n]^2-, which demonstrates that ion pairs exist in the CuCl₂/H₂O solution. Such finding agrees with the recent theoretical spectra obtained by time-dependent density functional theory. Furthermore, the populations of the contacted ion pairs are discussed. This study not only offers the direct spectroscopic evidence of[CuCl₃(H₂O)_n]^- or[CuCl₄(H₂O)_n]^2- in aqueous CuCl₂, but also suggests that the spectroscopic analysis method is powerful to extract the weak bands in a strong overlapping spectrum.