The aqueous Raman optical activity spectra of 4(R)‐hydroxyproline: theory and experiment

Vibrational Raman optical activity (ROA) spectra have been measured for aqueous solutions of 4(R)‐hydroxyproline at three different pH values and are compared with theoretical results calculated for several conformations of anionic, cationic and zwitterionic 4(R)‐hydroxyproline using density functional theory (DFT) and the polarizable continuum model (PCM). The experimental ROA bands have been ascribed to the normal modes by comparison of the experimental and calculated vibrational frequencies and ROA intensities. Overall, using PCM for geometry optimization and force field calculations gives simulated Raman and ROA spectra that agree with the main features of the experimental spectra, whereas using PCM also in the calculations of optical tensors seems more problematic. Copyright © 2010 John Wiley & Sons, Ltd.     

Theoretical interpretation of the vibrational spectrum of bicyclo[1.1.0]butane in terms of an ab initio anharmonic model

The anharmonic vibrational IR and Raman spectra of the bicyclo[1.1.0]butane molecule have been calculated in the range of up to 4000 cm^?1 using a numerical and analytical realization of the van Vleck second-order operator perturbation theory. Cubic and quartic force constants in normal coordinates, as well as cubic surfaces of the dipole moment and polarizability, have been found by numerical differentiation of the corresponding first and second derivatives calculated by the MP2/cc-pVTZ quantum-mechanical method. In order to increase the prediction accuracy of vibrational transitions, corresponding harmonic frequencies have been obtained by the CCSD(T)/cc-pVTZ high-precision quantum mechanical method. The anharmonic intensities of the IR and Raman spectra have been calculated using canonical transformations of the operators of the dipole moment and polarizability expanded into a Taylor series around the equilibrium configuration. The assignment of experimental vibrational bands in the IR and Raman spectra has been analyzed. It has been shown that the anharmonic calculation based on the above-described procedure of combining more exact harmonic frequencies with the anharmonic force field obtained with a more economical method makes possible the reliable interpretation of the majority of spectral bands, including Fermi and Darling-Dennison resonances.     

Vibrational Band Intensities of Hydrocarbons

Abstract

The experimental observables of a vibrational spectrum are depicted either in the form of their positions, i.e., frequency relating the energy required in a given quantum transition, or as the intensities of absorption and scattering related to their transition probabilities. Expressed in terms of molecular parameters, the frequencies depend on the geometry, atomic masses, and intramolecular forces [11 while the band intensities [2] reflect changes in dipole moment (infrared) or polarizabilities (Raman) which are caused during a vibrational displacement and are related to movement of electronic charges within the individual bonds. The mathematical basis for determining vibrational frequencies was well established as early as 1940 by Wilson [3] and others [4, 51. Applying the interpretation of vibrational spectra has become routine in the multitudinous disciplines of chemical literature [6–26]. Accounts of infrared and Raman spectra [27–29], collection of literature [30], and reasonable sets of intramolecular forces [31, 321 are now available for the prediction of normal frequencies of hydrocarbons.     

2,3-二氯吡嗪的红外、拉曼光谱和密度泛函研究

应用KBr压片法、熔融法分别测定了2,3-二氯吡嗪(2,3-DCP)结晶相和液相下400～4 000 cm-1范围内的傅里叶变换红外光谱(FTIR),及其600～4 000 cm-1内的傅里叶变换拉曼光谱(FT-Raman)。采用密度泛函(DFT)理论之B3LYP方法在6-311++G(2df,2pd)基组水平上优化了该分子的平衡几何结构,基于此结构应用谐性力场计算获得了2,3-DCP的振动频率、红外强度和拉曼活性并进一步计算了直到四阶的非谐性力场,将该力场带入标准旋振哈密顿量并利用二阶微扰理论获得了更加准确的振动频率,相应的红外、拉曼光谱。通过非谐力场获得的振动频率位置结合谐性强度与实验结果比对,对2,3-DCP的各振动带进行了详细指认,采用简正坐标分析方法得到各振动频率的势能分布(PED),首次对2,3-DCP的振动光谱进行了全面归属。结果同时显示：考虑非谐性效应后的理论结果大大提高了振动频率的预测性,用其获得的振动频率能很好的再现实验基频,其与实验值差异大多保持在10 cm-1以下,即使在谐振预期很差的高频区域,考虑非谐效应后这种差异也迅速降低到19 cm-1以下,这对正确归属和预期振动光谱是十分有帮助的。目前的结论也可推广应用到其他分子体系。     

A comparative study of the electronic structure and spectra of tetraoxa[8]circulene and octathio[8]circulene

The electronic structure and spectra of two highly symmetric molecules of circulenes, namely, tetraoxa[8]circulene and octathio[8]circulene, which belong to the symmetry point groups D _4h and D _8h , respectively, have been investigated by the density functional theory (DFT) method using the hybrid functional B3LYP in the 6–31G(d) basis set. The infrared (IR) spectra of these molecules in the ground and excited triplet states have been compared. The comparison of the electronic absorption spectra of both molecules has revealed that the first electronic transition is forbidden and determined by the electronic-vibrational interaction due to the degenerate e _u modes. The ability of the studied circulenes to fluoresce and phosphoresce has been analyzed, because these compounds are of interest as promising materials for organic light-emitting diodes.     

Comparative analysis of high-resolution spectra of naphthalene and its methyl-substituted derivatives cooled in a supersonic jet

We have carried out a comparative analysis of fine-structure fluorescence excitation and fluorescence spectra of naphthalene, 2,6-and 2,7-dimethylnaphthalene, and 2-methylnaphthalene molecules cooled in a supersonic jet. We have shown that both the frequencies and the intensities of most of the lines in the spectra of these molecules are correlated. Such a correlation facilitates interpretation of the spectra in the case when it is difficult to calculate the transition intensities and when lines corresponding to vibrations of different symmetry have close frequencies. For the considered molecules, a preliminary assignment of the lines in the fine-structure spectra is refined. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 3, pp. 336–340, May–June, 2007.     

Quantum chemical analysis of vibrational spectra of methylphenylcarbamate

We present results of ab initio and DFT calculations of the structure, potential function of internal rotation of the methyl group, and vibrational frequencies and intensities in IR and Raman spectra of methylphenylcarbamate. The calculations were carried out in different basis sets in the HF, MP2, and DFT/B3LYP approximations with partial force field scaling. The influence of the phenyl substituent on structural and spectral characteristics of the urethane group has been analyzed. Calculated characteristics of vibrational spectra show satisfactory agreement with experimental values.     

Phonon localization in Ge nanoislands and its manifestation in Raman spectra

Multilayer structures with germanium nanoislands that are formed on the silicon (111) surface upon submonolayer deposition by molecular-beam epitaxy have been investigated using Raman spectroscopy. To interpret the experimental Raman spectra, numerical calculations of the spectra have been performed for nanoislands containing from several to several hundred germanium atoms. The calculations demonstrate that the in-plane sizes of nanoislands (with sizes less than 2–3 nm) substantially affect the frequencies of phonons localized in these nanoislands. The experimental Raman spectra confirm the occurrence of the quantum size effect.     

Specific features in the vibronic fluorescence spectra of analogues of 1,4-bis(5-phenyl-2-oxazolyl)benzene with oxadiazole and furan rings

The fine-structure fluorescence and fluorescence excitation spectra of conjugated chain compounds, namely, 2,5-bis(5-phenyl-1,3,4-oxadiazol-2-yl)furan (PDFDP) and 2,5-bis[5-(2,4-dimethylphenyl)-1,3,4-oxadiazol-2-yl]furan (XDFDX), were obtained by the Shpolskii method in an n-octane matrix at a temperature of 4.2 K. These spectra were simulated by representing the band of each of the vibronic transitions as the sum of a zero-phonon line and a phonon wing with the corresponding parameters, such as the half-widths of the spectral lines and the Debye-Waller factors. The results obtained made it possible to estimate the relative intensities of the vibronic transitions between the S ₀ and S*₁ states. The anharmonicity revealed in the conjugate spectra of fluorescence and fluorescence excitation of the PDFDP and XDFDX compounds was explained in terms of the interference of the Franck-Condon and Herzberg-Teller interactions occurring in the molecules under investigation. The influence of the substitution of the furan heterocycle (F) for the central benzene ring (P) in 1,4-bis-(5-phenyl-2-oxadiazolyl)benzene (PDPDP) on the parameters of the intramolecular interactions responsible for the formation of the vibronic spectra was considered.     

Ab Initio Study of Phosphorescence of Hetero[8]Circulenes

Russian Physics Journal - Quantum chemical calculations of phosphorescence lifetime are performed for the first time by ab initio CC2 and TD-DFT methods for hetero[8]circulenes bearing Si and Ge...     

拉曼光谱的16种多环芳烃（PAHs）特征振动光谱辨识

借助密度泛函理论中B3LYP/6-311++G(d, p)方法对美国EPA优先控制污染物中的16种多环芳烃(PAHs)：萘、苊烯、苊、芴、菲、蒽、荧蒽、芘、苯并[a]蒽、稠二萘、苯并[b]荧蒽、苯并[k]荧蒽、苯并[a]芘、二苯并(a, h)蒽、二苯并[g, h, i]芘以及茚苯(1, 2, 3-cd)芘进行结构优化,并计算拉曼光谱振动频率和去偏振度,在此基础上辨识多环芳烃的拉曼特征光谱。研究显示,16种PAHs的拉曼振动主要分布在3个频区：200～1 000 cm-1（指纹区）、1 000～1 700和3 000～3 200 cm-1（基团频率区）,3个频区主要振动归属分别为环变形(ring def),碳碳伸缩(CCStr)、碳氢摇摆(CHw)及其耦合振动(CCStrCCw),碳氢伸缩(CHStr)。进一步分析显示,指纹区16种PAHs的去偏振度随苯环变形振动对称性增强而降低,在该频区去偏振度最小的频移处苯环呼吸振动的对称性最强,指纹区的峰强也在此处出现最大值。任意PAHs在指纹区的最强峰之间的波数差较大,在显微拉曼光谱的可分辨范围内,因而利用指纹区的去偏振度和最强峰可将16种PAHs逐一识别。烷烃、烯烃、炔烃、醇类和酚类、脂肪醚、芳基烷基醚、醛类、酮类、羧酸、酯类、胺类、腈类、酰胺类、酸酐、芳烃的振动频率和峰强分布不完全一致,利用PAHs与这几类物质拉曼频率和峰强分布的差异可以逐一排出干扰。     

The vibrational assignment of phenanthridine molecule based on normal coordinate analysis and DFT

A complete vibrational assignment of phenanthridine C13NH9 has been presented. The infrared (IR) and the Raman spectra of the molecule are analyzed with the help of theoretical prediction of the normal vibrational wavenumbers estimated from normal coordinate analysis (NCA) and density functional theory (DFT) calculations. A general valence force field (GVFF) including 31 parameters (13 diagonal and 18 off‐diagonal) reproduces satisfactorily the in‐plane vibrational signatures of the aforesaid molecule and as well as those for the other related hydrocarbons [phenanthrene and benzo(c)cinnoline]. The bivariate and multivariate data analysis reveals that calculated wavenumbers using GVFF are more accurate than the DFT result. However, DFT yields the relative Raman intensities, which are in good agreement with the experimental ones. The decomposition of the normal mode frequencies into those related to different internal coordinates is also discussed. Copyright © 2008 John Wiley & Sons, Ltd.     

Raman scattering of light in silicon nanostructures: First-and second-order spectra

First-and second-order Raman scattering spectra in Si nanocrystals have been studied. The shift to lower frequencies and the substantial broadening of first-order Raman scattering lines observed to occur with decreasing nanoparticle size were established to correlate with those in second-order spectra. It is shown that the experimentally observed shifts of peaks and their broadening cannot be predicted based only on the phenomenological model of strong phonon wave function localization. The anharmonic effect originating from the heating of the nanoparticle surface by laser radiation should also be included. Proper fitting of experimental data revealed that the anharmonic constants depend strongly on nanoparticle size. The shape and spectral positions of maxima in second-order Raman scattering spectra have been theoretically described.     

Raman scattering investigation of selenomethionine replacement in protein SOUL crystals

The vibrational properties of both wild‐type and selenomethionine (SeMet)‐substituted protein SOUL crystals have been investigated here by Raman spectroscopy. Several Raman peaks observed in the spectra of methionine and SeMet were identified as specific markers. The unambiguous assignment of these peaks has been inferred by comparing the experimental Raman spectra of the pure amino acids, recorded in solid state and in aqueous solution, and the Raman intensities computed using quantum chemical calculations. Moreover, a quantitative evaluation of the relative amount of SeMet replacement in the crystals of protein SOUL labelled with SeMet has been estimated through the ratio between the Raman intensities of marker peaks. These results offer evidence of the potential of Raman microscopy as a reliable and non‐invasive tool for novel in‐depth structural investigations in biocrystallography. Copyright © 2009 John Wiley & Sons, Ltd.     

A simplified method of calculation. IV. An analysis of the intramolecular oscillations of substituted benzene in the low-frequency range

The oscillation frequencies of schematic models of molecules of symmetrical substituted benzene are calculated. The results are compared with experimental data on Raman scattering and infrared spectra. The frequencies found in the 90–650 cm^s-1 range are related to the oscillations of the substitutes relative to the benzene nucleus of the molecule, and a classification of frequencies according to the types of symmetry is made.     

Stimulated low-frequency Raman lines in liquid benzene

Stimulated low-frequency Raman lines have been observed in liquid benzene under picosecond laser excitation. Their frequencies agree with those observed in spontaneous scattering in crystalline benzene at low temperatures.     

Calculation of torsional and rotational raman spectra of hydrogen peroxide

We present calculated intensity distributions in torsional, rotational, and torsional-rotational Raman lines in spectra of hydrogen peroxide. Ab initio calculations of polarizability tensor components as functions of internal rotation angle were carried out in the HF/6-311G approximation. It is shown that the structure and transformational properties of the polarizability tensor components of hydrogen peroxide in extended molecular symmetry group G₄(EM) permit formation of purely rotational and torsional and rotational-torsional Raman spectra. Common expressions to calculate Raman line intensities governed by torsional and rotational motions of the non-rigid symmetric top molecule are obtained. The torsional components of the line intensities have been calculated by estimating the appropriate matrix elements. The contribution of rotational components has been calculated using the 3j-symbols technique.     

Light scattering by spin excitations in copper-oxide-based materials

In this paper we present a study of spin dynamics in CuO, Bi₂CuO₄and CuGeO₃single crystals using Raman spectroscopy. The measurements of polarized Raman scattering spectra are performed in the temperature region from 10 to 300 K in various frequency ranges. We found and assigned the lines in the spectra that belong to magnetically ordered phases. The origin of these excitations, based on the temperature dependence of their energies, linewidths and symmetry arguments, is given. Also, we present calculations of two-magnon intensities, based on the densities of states, and compare them with experimental data.     

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]