Geometrical structures,bending potentials,and vibrational frequencies ν1 for 1A″ states of HSiBr,HSiCl, and DSiCl

The geometrical structures and the approximate bending potentials are determined for excited electronic states ¹A″ in HSiBr, and in HSiCl and DSiCl. A Hamiltonian for large amplitude bending vibration and K type rotation contains parameters which were adjusted to yield energy levels consistent with data observed spectroscopically. The effect of centrifugal stretching of the HSi bond was treated by a simple semiclassical method. In the process of applying this method it was found that the HSi stretching frequencies ν₁ do not have the values recommended by Herzberg and Verma, but have the alternate values given by these authors. The barriers to the linear conformation were found to be approximately 8700 cm^?1 for HSiBr, and 12 400 cm^?1 for HSiCl and DSiCl.     

The microwave spectrum of isopropenyl acetate - An asymmetric molecule with two internal rotors

The Fourier transform microwave spectrum of isopropenyl acetate (CH₃COOC(CH₃)CH₂) has been measured under molecular beam conditions. The experimental data as well as quantum chemical calculations have shown that this molecule exists as only one conformer of C₁ symmetry, in which the vinyl group is tilted by an angle of approximately 70° against the plane containing the ester group. Due to internal rotation of the acetyl methyl group, we found large A-E splittings of all lines (from a few MHz up to 1 GHz or more). We also were able to resolve the splitting due to the internal rotation of the second isopropenyl methyl group. The A species lines split into doublets and the E species lines into triplets. These splittings vary from 10 kHz up to 1 MHz, much smaller than the splittings due to the acetyl methyl group. By analyzing the spectrum with the program Xiam, a torsional barriers of 135.3498(38) and 711.7(73) cm⁻¹ for the acetyl methyl group and the isopropenyl methyl group were observed, respectively. All lines in the spectrum were also fitted with the program Erham to a standard deviation of only 2.3 kHz.     

Effect of the frequency of intramolecular motions on the NMR relaxation in liquid state temperature regime

Equations for the spectral densities of complex motion of a spin pair undergoing internal motion and isotropic/anisotropic overall rotation have been considered. The fluctuations of the interproton distances, caused by internal motion, have been taken into account in the theoretical equations. A method allowing a distinction between the isotropic and the anisotropic overall rotation of molecules has been proposed. The effect of the activation parameters of internal motions (known from the solid state study) on the measured T ₁ relaxation of the ¹³C and ¹H–¹H cross-relaxation rates has been analysed for methyl-β-D-galactopyranoside in DMSO-d6 solution. The conformational trans-gauche jumps of the methylene group are not fast enough to affect the T ₁ value of carbon C6 in the liquid state temperatures regime. Only the methyl group rotation is a very fast internal motion. This motion influences the carbon C7 relaxation and methyl protons–anomeric proton cross-relaxation. The values of interatomic distances between anomeric H(C1) and H(C5) as well as the three methyl protons H(C7) have been calculated from the cross-relaxation rates. The distance H(C1)–H(C7) fluctuates due to the rotation of methyl group. The application of the ‘model-free approach’ to study molecular dynamics in solutions is discussed.     

The microwave spectrum of methyl chlorodifluoroacetate: Methyl internal rotation and chlorine nuclear electric quadrupole coupling

A chirped pulse microwave spectrometer has been used to record microwave spectra of the ³⁵Cl and ³⁷Cl isotopologues of methyl chlorodifluoroacetate, CClF₂C(O)OCH₃, between 8 GHz and 16 GHz. The target compound was spectroscopically examined as it participated in a supersonic expansion of argon. Only one conformer was observed. The rotational spectra were recorded with sufficient resolution to observe (i) splittings due to the internal rotation of the methyl group, and (ii) splittings from the coupling of the chlorine quadrupolar nucleus. A total of 785 transitions have had quantum numbers assigned. Analysis of the spectra observed has produced an experimental barrier to the methyl group internal rotation, V₃, of 370(2) cm⁻¹. It is noted that this barrier is a little lower than that determined for methyl acetate [V₃ = 425 cm⁻¹, J. Sheridan, W. Bossert and A. Bauder, J. Mol. Spectrosc., 80 (1980) 1-11], and this is rationalized through a comparison of molecular structures. Lastly, all components of both the ³⁵Cl and ³⁷Cl chlorine nuclear electric quadrupolar coupling tensor have been determined.     

The role of methylene in prompt NO formation

We address the plausibility of singlet methylene (¹CH₂) in the prompt NO formation mechanism via examination of experimental species profiles and kinetic flame modeling of several low-pressure methane-oxygen-nitrogen flames. Existing kinetic models assuming CH as the only prompt NO precursor greatly underpredict NO formation under very fuel-lean conditions. We have constructed a kinetic pathway initiated by the recombination of singlet CH₂ with molecular nitrogen to form diazomethane, CH₂NN, early in the flame. Although the majority of the diazomethane is predicted to react with flame radicals to regenerate N₂, a small percentage (approximately 10%) is predicted to react via cleavage of the NN bond leading to NO formation. This leads to accurate prediction of the experimental measurements of NO formation in lean, low-pressure flames. Assuming reasonable kinetic parameters for the reactions of CH₂, the large underprediction of NO under lean conditions can be rectified by the inclusion of the ¹CH₂ prompt NO pathway in the kinetic mechanism.     

Microwave spectra and barriers to internal rotation of trifluoroacetic acid and trifluoroacetyl fluoride

The rotational transitions of trifluoroacetic acid and trifluoroacetyl fluoride were identified with radiofrequency-microwave and microwave-microwave double resonance spectroscopy. Isotopic substitution of the hydrogen atom in trifluoroacetic acid showed that the hydrogen atom is cis with respect to the CO bond. A second conformation was not found. From A,E splittings in higher vibrational levels the internal rotation barriers were calculated: for trifluoroacetic acid, V₃ = 241.8 ± 0.5 cm^?1 (v = 4); for trifluoroacetyl fluoride V₃ = 383.6 ± 0.5 cm^?1 (v = 5).     

Tunneling motions in the Ar-CHF3 complex

The millimeter wave spectrum of the Ar-CHF₃ complex is measured. The microwave lines are split into two components due to tunneling between three equivalent minima. Aided by ab initio calculations, the bidimensional potential energy surface of the complex is investigated and the rotational dependence of the tunneling splitting is parameterized using an IAM-like approach. The analysis of the microwave data allows us to determine the parameters involved in this rotational dependence. The value obtained are consistent with a large amplitude motion involving a 2π/3 internal rotation of the CHF₃ moiety about its threefold axis of symmetry. Information about the geometry of the intermediate configuration of this large amplitude motions is obtained.     

Anomalous Energy Minima Studies by Mindo/3

A previous publication¹ utilizing the INDO² and CND0/2³ semi-empirical SCF-MO techniques has shown that these methods predict anomalous minima in the potential surfaces of small molecules and molecular ions, particularly those of type 0-X-0. Two studies have bcmen published concerning the removal of such anomalous pre-dictiors. The first approach⁴ involved reparameterization of the INDO method – specifically involving the Slater exponents α, and the bonding parameters B° of carbon and oxygen – to remove the anomalous iinimum from the potential surface of C0₂. It was de-monstrated that reparameterization could be used to remove the Salse minimum in this case; but only at the expense of the other predictive qualities of INDO, or with the prediction of an unreal-istically broad energy minimum – neither of which could b e con-sidered an acceptable solution.     

氢同位素氚水T2O(X1A1)的解析势能函数

获得T₂O(X¹A₁)解析势能函数的主要困难在于Born-Oppenheimer近似下T₂O(X¹A₁)与H₂O(X¹A₁)势能函数的不可区分性.然而,在Born-Oppenheimer近似下,分子势能函数实际上是键长、键角这些 关键词： 2O(X¹A₁)')" href="#">T₂O(X¹A₁) 同位素效应 解析势能函数     

Millimeter-wave investigation, simplified interpretation of the fourfold rotational spectrum, and dynamics of the internal motions of acetaldehyde-argon

The rotational spectra of the acetaldehyde-argon van der Waals complex have been measured by free jet absorption millimeter-wave spectroscopy in the frequency range 60-78 GHz. Each rotational transition is split into four hyperfine component lines, which is evidence of the occurring of two different internal motions. The splittings have been interpreted in terms of a coupled Hamiltonian that precisely determines the separation of energy levels due to the tunneling of the rare gas atom between two equivalent minima, while the information on the barrier to internal rotation of the methyl group is obtained from the pattern of the component A-E lines due to this motion. The interaction of the rare gas atom with the acetaldehyde moiety is reflected in a reduction of the V₃ barrier to internal rotation in going from the molecule to the weakly bound complex of about 20%. The barrier to the Ar tunnelling has been estimated to be 26 cm⁻¹.     

A new four-dimensional ab initio potential energy surface and predicted infrared spectra for the Ne–CS2 complex

A new four-dimensional (4D) ab initio potential energy surface (PES) for Ne–CS₂ involving the Q₁ and Q₃ normal modes for the ν₁ symmetric stretching vibration and ν₃ antisymmetric stretching vibration of CS₂ is presented. The PES is constructed at the coupled-cluster singles and doubles with noniterative inclusion of connected triples [CCSD(T)]-F12 level with a large basis set including midpoint bond functions. Two vibrationally averaged potentials with CS₂ at the vibrational ground and ν₁ + ν₃ excited states are generated from the 4D potential. Each potential contains a T-shaped global minimum and two equivalent linear local minima. The rovibrational energy levels and bound states are calculated employing radial discrete variable representation/angular finite basis representation and the Lanczos algorithm. In addition, the predicted band origin shift is 0.2514 cm^?1 for Ne–CS₂. The spectroscopic parameters are also predicted.     

The infrared spectrum of 13C2H2 in the 60–2600 cm−1 region: bending states up to v 4 + v 5 = 4

The vibration–rotation spectra of ¹³C substituted acetylene, ¹³C₂H₂, have been recorded in the region between 60 and 2600?cm^?1 at an effective resolution ranging from 0.001 to 0.006?cm^?1. Three different instruments were used to collect the experimental data in the extended spectral interval investigated. In total 9529 rotation vibration transitions have been assigned to 101 bands involving the bending states up to v _tot?=?v ₄?+?v ₅?=?4, allowing the characterization of the ground state and of 33 vibrationally excited states. All the bands involving states up to v _tot?=?3 have been analyzed simultaneously by adopting a model Hamiltonian which takes into account the vibration and rotation l-type resonances. The derived spectroscopic parameters reproduce the transition wavenumbers with a RMS value of the order of the experimental uncertainty. Using the same model, larger discrepancies between observed and calculated values have been obtained for transitions involving states with v _tot?=?4. These could be satisfactorily reproduced only by adopting a set of effective constants for each vibrational manifold, in addition to the previously determined parameters, which were constrained in the analysis.     

Infra-red spectrum,structure and properties of the N2-Ar van der Waals molecule

The first spectroscopic observation of bound N₂-Ar van der Waals molecules has been achieved with a cryogenic long path cell maintained at 87 K. The infra-red spectrum exhibits prominent fine structure near the N₂ stretching frequency which is assigned to hindered internal rotation of N₂ within the weakly bound complex. An analysis of this fine structure yields a T-shaped equilibrium geometry in which the N₂ bond axis is perpendicular to the N₂-Ar van der Waals bond axis. The observed spectrum is shown to be consistent with an internal rotational barrier of 20 cm^-1 (57 cal/mole). Approximately 20 per cent of the bound species are trapped by this rotational barrier and acquire a locked semi-rigid structure. The remaining 80 per cent have ill-defined geometry and undergo hindered internal rotation. The rotational envelope of an infra-red fundamental is analysed to give an estimate of the N₂-Ar bond length as 3·9 Å.     

Tb0.3Dy0.7Fe2合金的本构参数辨识方法研究

建立了一种简便的、适用于磁畴模型应用的Tb_0.3Dy_0.7Fe₂ 合金本构参数辨识方法. 针对Tb_0.3Dy_0.7Fe₂合金磁畴模型中本构参数不明确且直接实验测试困难的问题, 提出了一种数值计算与实验测试相结合的参数辨识方法. 采用坐标变换与绘制自由能等势曲线相结合的方法, 简化了载荷作用下Tb_0.3Dy_0.7Fe₂ 合金内磁畴角度偏转的数值计算, 研究了合金磁畴角度偏转模型的参数依赖性. 在此基础上, 结合简单的实验测试, 建立了Tb_0.3Dy_0.7Fe₂合金各向异性常数K₁ 和K₂、能量分布因子ω、晶轴取向分布的辨识及修正方法. 该方法能够简单、快速地完成Tb_0.3Dy_0.7Fe₂ 合金磁畴模型中本构参数的辨识, 对完善磁致伸缩材料磁畴偏转的数值计算模型非常有意义. 理论分析可为类磁致伸缩材料磁机耦合模型的建立、完善, 以及材料本构参数的辨识、获取提供参考.     

Microwave spectrum of torsionally excited acetic acid

The microwave spectrum corresponding to the first excited state of the methyl torsion in acetic acid has been identified by means of microwave-microwave double resonance. Although the A-E splittings are extremely large, a reasonable fit has been obtained for the v = 0 and v = 1 states simultaneously by using a Hamiltonian which allows for geometry relaxation upon internal rotation. Barrier parameters are V₃ = 169.90 ± 0.06 cm^?1 and V₆ = ?6.74 ± 0.02 cm^?1. An interpretation of the parameters describing nonrigidity is given in terms of a model with two relaxing bond angles, which is qualitatively supported by ab initio calculations.     

Dynamic 1H NMR investigation along with a theoretical study around the C–C and C = C bonds in a particular phosphorus ylide

In the present work, the dynamic ¹H NMR effects were investigated at variable temperatures within a particular phosphorus ylide involving a 2‐benzoxazolinone around the carbon–carbon single bond and also partial carbon–carbon double bond in two Z‐ and E‐rotational isomers. Activation and kinetic parameters including ΔH^≠, ΔG^≠, ΔS^≠ and E_a were determined in accord with the dynamic ¹H NMR data for three rotational processes. In addition, theoretical studies based upon rotation around the same bonds were investigated using ab initio and DFT methods at the HF/6‐31G(d,p) and B3LYP/6‐31G(d,p) levels of theory. Theoretical activation and kinetic parameters including ΔH^≠, ΔG^≠, ΔS^≠ and E_a were calculated at 298 K and experimental temperatures for five rotational processes. These results (experimental and theoretical), taken together, indicate that the rotational energy barrier around the C = C double bond was considerably high and the observation of the two rotational isomers was impossible (seen as a single isomer) at the high temperatures, in this case rotation around the C = C bond was too fast on the NMR time scale. When the temperature was relatively low, the rate of rotation was sufficiently slow; therefore, observation of the two Z‐ and E‐isomers was possible. In addition, calculations at the HF/6‐31G(d,p) level of theory showed very favorable results in agreement with the experimental data on rotation around the C = C bond. While, B3LYP level using the 6‐31G(d,p) basis set was provided the reasonable data for the restricted rotations around the C–C and C–N single bond. Copyright © 2012 John Wiley & Sons, Ltd.     

利用高分辨率光谱和从头算理论研究9-甲基蒽的大振幅运动

本文利用平行超音速射流和光频梳技术观察到9-甲基蒽(9MA)的多普勒的高分辨率和高精度光谱. CH₃内部旋转的势能曲线用六重对称正弦函数表示. 之前报道的9MA-d12的势垒(V₆)远远低于9MA-h12[M. Baba, et al., J. Phys. Chem. A 113, 2366 (2009)]. 本文对多组分分子轨道法进行从头算方法的理论计算. 氘代取代势垒降低的部分原因是H和D原子核的波函数不同.     

Tunnelling splittings in the high resolution microwave and UV spectra of the benzonitrile—water complex: modelling the internal motion in its S0 and S1 states

Refined values of the barriers to internal motion in the 1:1 complex between benzonitrile and water in the gas phase have been determined from analyses of its fully resolved microwave and ultraviolet spectra. Both spectra exhibit tunnelling splittings associated with this motion. Modelling this behaviour using a semi-rigid Hamiltonian for an internal rotation of water around its C ₂ axis yields values of V ₂ = 440 ± 30 cm^?1 and 450 ± 30 cm^?1 in the ground and excited electronic states, respectively. These relatively high barriers are a consequence of two hydrogen bonds between the interacting species.     

Microwave spectra of dimethylsulfide-d6, (CD3)2S,ground and excited torsional states

The microwave spectra of the molecular isotope (CD₃)₂S in the ground state and the first and second excited states of methyl top torsion (internal rotation) and of CSC deformation as well as the ground-state spectra of the ¹³C and ³⁴S substituted forms have been measured. The rotational constants and centrifugal distortion and rotation-vibration interaction constants could be determined. The rotational lines in the excited torsional states (1₁, 1₂, 2₁, 2₂, 2₃) were found to be split into quartets due to the interaction between molecular rotation and methyl top internal rotation. The experimental multiplet splittings were fitted to those calculated from a rotation-internal rotation Hamiltonian in order to obtain values for the internal rotation barrier V₃ and the top-top interaction potential coefficients V₁₂ and V′₁₂. V₁₂ was too highly correlated with V₃ for a separate determination. The values following from the least-squares adjustment are discussed.