Single-molecule conductance determinations on HS(CH2)4O(CH2)4SH and HS(CH2)2O(CH2)2O(CH2)2SH, and comparison with alkanedithiols of the same length

The acetyl-protected, thiol-terminated ethers AcS(CH(2))(4)O(CH(2))(4)SAc and AcS(CH(2))(2)O(CH(2))(2)O(CH(2))(2)SAc have been synthesised, and a range of related scanning tunnelling microscopy (STM)-based methods have been employed to fabricate and electrically characterise gold | single molecule | gold junctions involving these molecules. The single-molecule conductance values obtained are consistently found to be substantially higher (by a factor of 2-3) than the conductances of analogous alkanedithiols of similar length (HS(CH(2))(9)SH and HS(CH(2))(8)SH, respectively). A rationalisation of these findings is suggested, namely that the lone pair electrons on the oxygen atoms are substantially closer in energy to the Fermi energy of the gold leads than are the occupied and unoccupied states of methylene chains, so that the ether oxygens behave in a manner analogous to 'wells' in a double-tunnelling-barrier system. In agreement with this suggestion, the current-voltage behaviour of the monoether can be fitted using the Simmons approach, and the barrier height is found to be significantly lower than for alkanedithiols of approximately the same length.     

Internal Rotation of the Hydroxyl Group in Isopropanol and the Chirality of the Gauche Form: Fourier Transform Microwave Spectroscopy of (CH(3))(2)CHOD

The rotational spectrum of the deuterated isopropanol (CH(3))(2)CHOD has been observed by Fourier transform microwave spectroscopy and analyzed to yield tunneling splitting of 4431.4613 (17) MHz, between the antisymmetric and the symmetric gauche forms, which is much larger than the 2400 MHz estimated from the internal-rotation potential function reported in the literature. The potential function for the OH internal rotation has been examined in view of the discrepancy between the observed and estimated tunneling splitting, and it was accounted for by taking into account isotope effects on the potential constants. The deuterium quadrupole coupling effect has been included together with the Coriolis terms in the off-diagonal block of the Hamiltonian matrix for the gauche form. The deuterium quadrupole coupling constants obtained for the trans form were employed to calculate the components of the coupling constants as functions of the internal-rotation angle, and the components at around 120 degrees were compared with the values observed for the gauche form, thereby leading to unambiguous determination of the signs of the constants in the off-diagonal block; the signs are not obtainable from an ordinary analysis of the rotational spectra. The chirality of the gauche form was discussed by placing special emphasis on the effect of intermolecular interactions between two chiral molecules. Copyright 2001 Academic Press.     

Determination of a Potential Energy Surface for CO2 Using Generalized Internal Vibrational Coordinates

A potential energy surface for CO2 is determined from experimental data using generalized internal vibrational coordinates. These coordinates are defined as two arbitrary distances and the angle between them and depend on two external parameters, which can be properly optimized. An optimal generalized internal coordinate system is obtained for CO2 by minimizing unconverged vibrational energies with respect to the external parameters. The optimal coordinates are shown to be superior to previously derived normal hyperspherical coordinates for this molecule. A nonlinear least-squares fit of the potential energy surface of CO2 to observed vibrational frequencies is made by using the optimal internal coordinates and fully variational calculations. The potential function is represented by a fourth-order Morse-cosine expansion and its quality is checked by computing highly excited vibrational transition frequencies which were not included in the fit. Copyright 1999 Academic Press.     

硝基甲烷异构化反应势能面的ab initio研究

在B3LYP/ 6 311++G(2d ,2p)水平上 ,优化得到硝基甲烷CH3 NO2 的 10种异构体和 2 3个异构化反应过渡态 ,并用G2MP2方法进行了单点能计算 .根据计算得到的G2MP2相对能量 ,探讨了CH3 NO2 势能面上异构化反应的微观机理 .研究表明 ,反应初始阶段的CH3 NO2 异构化过程具有较高的能垒 ,其中CH3 NO2 的两个主要异构化反应通道 ,即CH3 NO2 →CH3 ONO和CH3 NO2 →CH2 N(O)OH的活化能分别为 2 70 .3和 2 6 7.8kJ/mol,均高于CH3 NO2的C -N键离解能 .因而 ,从动力学角度考虑 ,CH3 NO2 的异构化反应较为不利 .     

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.     

线型分子势能函数及第二维里系数计算

本文以两中心的Lennard—Jones（2CLJ）流体为研究对象,通过引入与温度相关的势能参数,提出了改进型的2CLJDQP势能函数模型。应用此模型计算了乙烷（C2H6）、六氟乙烷（C2F6）、氟甲烷（CH3F）、氯甲烷（CH3C1）、1,1,1-三氟乙烷（CH3CF3）、二氟乙烷（CH3CHF2）的第二维里系数,较...     

The angleICI Bending Satellites in the Millimeter-Wave Rotational Spectra of CH(2)I(2) and CD(2)I(2)

Rotational transitions in the first four excited states of the low-frequency angleICI bending mode, nu(4), have been assigned in the mm-wave rotational spectra of CH(2)I(2) and of CD(2)I(2). Measurements of transition frequencies, made over the frequency region 167-326 GHz and for J" up to 190, allowed determination of sextic level spectroscopic constants for all states. The changes in spectroscopic constants with vibrational excitation show very small anharmonicity, in spite of the very low frequency of this mode (121 cm(-1)). Vibrational excitation affects the moments of inertia in such a way that the planar moment P(b), about the plane perpendicular to both angleICI and angleHCH, is practically invariant. Vibrational change in P(c), the moment along the principal axis in the HCH plane and perpendicular to the angleHCH bisector, has been successfully reproduced with an ab initio harmonic force field so that there is no discernible vibrational change in angleHCH on excitation of angleICI. Finally, the change in P(a) leads to estimated vibrational change of +0.12 degrees in the value of angleICI itself. Copyright 2000 Academic Press.     

基态TiH2分子的结构与分析势能函数

用密度泛函理论的B3lyp方法,Ti原子采用相对论有效实势(LanL2DZ)收缩价基函数,氢原子采用6-311 g**全电子基函数,对TiH2体系的结构进行优化计算.得到TiH2分子最稳态为C2v构型,电子状态为(C2v(X)3A2),平衡核间距,RTi-H=0.1789 nm,键角∠HTiH =123.365°,离解能:De=5.54216 eV.基态简正振动频υ(A1)=485.4150 cm-1,υ(B2)=1507.6533 cm-1,υ(A1)=1580.2361 cm-1.由微观过程的可逆性原理分析了分子的可能离解极限,并用多体项展式理论方法分别导出基态TiH2分子的势能函数,其等值势能面图准确地再现了TiH2分子的结构特征和离解能.由此讨论了TiH2分子反应的势能面静态特征.     

Barriers to internal rotation and tunnelling splittings of the torsional states in the HO(CH2)OH,DO(CH2)OH and DO(CH2)OD molecules

Torsional states caused by vibrations of hydroxyl groups in the methanediol molecule and its two deuterated analogues – DO(CH₂)OH and DO(CH₂)OD were analysed at MP2/cc-pVTZ and CCSD(T)/cc-pVQZ levels of theory. In the first case, 2D PES and 2D surfaces of kinematic coefficients were calculated with geometry optimisation for all other geometric parameters, and in the second case, only the energy of optimised configurations at the MP2/cc-pVTZ level of theory was determined. Then 2D PES was recounted to the complete basis set (CBS) limit by extrapolating the results of calculations at the MP2/cc-pVTZ and MP2/cc-pVQZ levels of theory The calculated values were then averaged over four equivalent points on the coordinate plane. Hamiltonian matrices were constructed using DVR and Fourier methods. After their subsequent diagonalization, the energies of the stationary torsional states were computed. Their classification by C_2V(M) and C_S(M) molecular symmetry groups has been performed. The splitting values due to the tunnelling of the thirty most deeply located torsional states in the three studied molecules were also determined. The torsional states, internal rotation barriers, and tunnelling frequencies in the molecules of methanediol and hydrogen trioxide were compared.     

The Microwave Spectrum of m-Tolunitrile: Methyl Internal Rotation and (14)N Nuclear Quadrupole Coupling

The microwave spectrum of m-tolunitrile (3-methylbenzonitrile, m-C(6)H(4)CH(3)CN) has been investigated in the frequency range from 1 to 4 and 8 to 26.5 GHz. The spectra in the two lowest states of internal methyl rotation (m = 0, +/-1) were recorded by means of pulsed molecular beam Fourier transform microwave (MB-FTMW) spectrometers. The interpretation of the spectra was based on an asymmetric frame-symmetric top Hamiltonian with inclusion of centrifugal distortion terms and first-order contributions from (14)N nuclear quadrupole coupling. A least-squares analysis yielded the rotational constants A = 3295.9103(10) MHz, B = 1199.1188(2) MHz, C = 883.9223(1) MHz, all elements of the nuclear quadrupole coupling tensor chi(aa) = -3.626(1) MHz, chi(bb) = 1.684(1) MHz, chi(cc) = 1.943(1) MHz, and chi(ab) = -1.870(3) MHz, as well as the threefold barrier to internal rotation, V(3) = 14.2 cm(-1), and the angle between the internal rotor axis and the principal moment of inertia a axis, θ = 42.66 degrees, using fixed values for the sixfold barrier term V(6) (-11 cm(-1)) and the moment of inertia of the methyl top I(alpha) (3.16 u ?(2)). Copyright 2000 Academic Press.     

Clebsch-Gordan Coefficients,Racah Coefficients and Braiding Fusion of Quantum sl(2) Enveloping Algebra (I)

Quantum Clebsch-Gordan coefficients and the first type quantum Racah coefficients of quantum sl(2) enveloping algebra are given explicitly. The quantum 3-j and 6-j symbols, similar to those in the theory of angular momentum are abo introduced. The solution R_q^j1j2 of quantum Yang-Baxter equaton is expressed in terms of the quantum Clebsch-Gordan coefficients. It is shown that when j1=j2, R_q^jj is just the same as R_AW^j matrix obtained by Akutsu and Wadati for the representation of the braid group. The second type quantum Racah coefficients, which are the solutions of the face models, are also computed explicitly and related to the first type quantum Racah coefficients. The famous pentagonal relation is proved from the formula between two quantum Racah coefficients. The graphical representation of those formulas is discussed.     

LaH2分子基态（C2V,A1）的势能函数

在ＱＣＩＳＤ水平上基于相对论紧致有效势（ＲＣＥＰ：Ｒｅｌａｔｉｖｉｓｔｉｃ Ｃｏｍｐａｃｔ Ｅｆｆｅｃｔｉｖｅ Ｐｏｔｅｎ－ｔｉａｌ）方法优化出ＬａＨ２分子的基态为Ｃ２ｖ（Ｘ＾２Ａ１）构型,其〈ＨＬａＨ－１２４４°、平衡核间距Ｒｅ＝２．１９４５Ａ和离子解能Ｄｅ＝５．５９９ｅＶ,并计算出谐振频率：ｖ１＝１２１６．５２１ｃｍ＾－１、ｖ２＝１０８７．４１７ｃｍ＾－１和ｖ３＝２１５６．９５７２ｃｍ＾－１。