用诱导自洽方法计算振动力常数的研究

本文提出一种迭代方法计算振动力常数,可以比较清楚地显示基频与振动力常数之间的关系,从而能方便地选择合适的力常数限制条件,得到合理的结果.用本方法对一系列不同分子作了计算,结果比较满意,对计算中一些具体问题作了讨论.     

基于迭代保留信息变量和连续投影的近红外光谱波长选择方法

连续投影算法(SPA)作为一种波长选择算法,用于近红外光谱的定量分析中以简化模型复杂度,提高模型预测精度.由SPA算法的原理可知,SPA算法只能保证相邻两次投影所选择的两个波长之间具有较低的冗余性,但不保证所选变量一定是有效变量,即SPA筛选出的变量子集中可能包含一些无信息变量甚至是干扰变量.所以通过迭代保留信息变量(...     

基于近红外光谱技术和变量筛选-偏最小二乘判别分析方法的铁皮石斛产地无损溯源

基于近红外(NIR)光谱技术与变量筛选-偏最小二乘判别分析(PLS-DA)方法,建立了一种铁皮石斛产地的无损溯源方法。利用光栅型便携式NIR光谱仪采集了3个积分时间(25、45、65 ms)下3个产地共900份铁皮石斛枫斗的光谱。采用光谱预处理方法消除光谱中的干扰;以主成分分析(PCA)、PLS-DA方法建立了铁皮石斛产地的鉴别模型;通过竞争性自适应重加权采样法(CARS)、蒙特卡罗-无信息变量消除法(MCUVE)及连续投影算法(SPA)筛选获得特征变量进一步提升PLS-DA模型鉴别准确性;此外,首次探究了积分时间对铁皮石斛产地溯源模型的影响。结果表明：无论是原始光谱还是优化预处理后的光谱,PCA方法均无法实现铁皮石斛产地的准确鉴别;45 ms和65 ms积分时间的PLS-DA模型可以实现石斛产地的100%鉴别分析;CARS和MC-UVE模型显著优于SPA模型,可在获得较少变量数的前提下实现石斛产地的100%鉴别分析。以上结果表明,基于便携式NIR光谱技术与变量筛选-PLS-DA方法可实现对铁皮石斛产地的准确鉴别,为中药材的质量控制研究提供了新方向。     

Vibrational spectra and thermodynamic functions of allyl acetate

Raman spectrum of allyl acetate molecule has been photographed in liquid phase using 4358 ? line of mercury arc as the exciting line. Infrared absorption spectrum of the molecule has been recorded in liquid phase in the frequency range 200–4000 cm⁻¹. Both the spectra have been analysed to identify the fundamental frequencies. AssumingC _s symmetry, the observed fundamental frequencies have been assigned to various modes of vibration and compared with the frequencies of allyl halides and acetic acid. On the basis of present assignments of fundamental vibrational frequencies and assumed approximate structural parameters of the molecule, thermodynamic functions have been computed.     

More on the Airy Averaging Method

The Airy averaging method illustrated in a previous paper [J. Math. Chem. 25 (1999) 93] is a simple and effective procedure for dealing with mathematical expressions/manipulations involving Airy functions. The potentiality of the method is emphasizd through a couple of applications drawn from recent research advances in the field of the discrete variable representation (DVR) basis sets.     

Transformation of Bloch representation into atomic orbital representation and combined matrix element calculation technique for spatially bounded basis functions in crystals

A method is proposed for transforming the Hamiltonian from Bloch to atomic function representation. For spatially bounded functions, this is a rigorous method based on solution of a certain algebraic system of equations. Unlike the conventional procedure based on integration over the Brillouin zone, the new method requires knowledge of the matrix elements of the Bloch representation only at several points of the Brillouin zone. The number of these points is determined by the trimming radius for the spatially bounded functions and by the lattice constant. The method can be used for calculating matrix elements in a basis of atomic functions and for reducing computations in matrix element calculations of the Bloch representation for procedures using numerical integration.     

Scaled quantum chemical calculations and FTIR, FT-Raman spectral analysis of 3,4-diamino benzophenone

The vibrational spectra of 3,4-diamino benzophenone (DABP) have been computed using B3LYP methodology and 6-31G* and 6-31G** basis sets. The solid phase FTIR and FT-Raman spectra were recorded in the region 4000-400 cm-1 and 3500-100 cm-1, respectively. A close agreement was achieved between the observed and calculated frequencies by employing normal coordinate calculations. The observed and simulated spectra were found to be well comparable.     

Discrete analogs of spherical harmonics and their use in quantum mechanics: The hyperquantization algorithm

Summary An algorithm for the solution of the Schrödinger equation in a discrete basis is illustrated with reference to the problem of quantization on spheres of any dimension (hyperquantization). It exploits the explicit construction of discrete analogs of spherical harmonics and leads to sparse matrix representations of the kinetic energy operator and a diagonal representation of the interaction potential. Applications are discussed for inelastic and reactive scattering.     

Experimental and theoretical study of vibrational spectra and structure of dihalogermylene and dihalostannylene complexes with 1,4-dioxane and triphenylphosphine

Vibrational (Raman and IR) spectra of the 1:1 complexes of dihalogermylene and dihalostannylene with 1,4-dioxane and PPh₃ have been reported, the structures of the complexes Cl₂Ge·C₄H₈O₂ and Cl₂Ge·PPh₃ updated using high-resolution X-ray method. Quantum-chemistry calculations of the geometry and normal mode frequencies and eigenvectors were carried out for some of the complexes. The results show that in the structure of the polymeric solid complexes of X₂M with 1,4-dioxane, intermolecular coordination XM plays a prominent role, whereas the corresponding complexes with PPh₃ are monomeric. In the vibrational spectra of all the complexes, an inversion of symmetric and antisymmetric stretching νXM (X=Cl, Br; M=Ge, Sn) frequencies, found for ‘free’ X₂M^II particles, still persists, suggesting that the X₂M moieties preserve their specifity as carbene analogues also in the complexes.     

Rotation–vibration energy levels from recent potential energy surfaces for the ground electronic states of NO2 and H2O

Using recently published potential energy surfaces, rovibrational energy levels are computed for the ground electronic states of H₂O and NO₂, using three‐dimensional discrete variable representation (DVR) algorithms. Calculations are presented for H₂O to demonstrate the accuracy of these algorithms. In the case of NO₂, comparisons with previous calculations are made as a test for the accuracy of the new potential energy surface. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 76: 535–540, 2000