手性有机酸保留指数的手性指数及原子类型电拓扑指数模型

基于手性碳原子的取代基次序规则,提出分子手性指数(wj),结合原子类型电拓扑指数(En)研究18种手性羟基酸和氨基酸的薄层色谱保留指数(RM)的定量关系(QSRR).经最佳变量子集回归建立最佳四元数学模型,传统的相关系数(R2)为0.969,留一法(LOO)的交互验证系数(Q2)为0.943,结果证明具有良好的稳健性及预测能力.根据进入该模型的4个结构参数(wj,E13,E16,E17)可知,影响手性有机酸保留指数的主要因素是分子的二维结构特征(如襒O,—OH,—NH2)和分子的手性特征.综上所述,新建wj及En对手性有机酸的保留指数表征具有合理性与有效性,为预测手性有机酸的保留指数提供一种有效方法.     

PdYH分子的结构与势能函数

用密度泛函理论的B3LYP方法, 对钯和钇原子采用SDD收缩价基函数, 氢原子采用6-311＋＋G**全电子基函数, 对PdY和PdYH体系的结构进行优化. 计算表明: PdY分子的几何构型为C_∞v, 其基态为X²Σ^＋态, 键长R＝0.24168 nm, 离解能为D_e＝2.8261 eV, 谐振频率ω_e＝254.0656 cm^－1, 并拟合得到Murrell-Sorbie势能函数; PdYH分子最稳态为C_s构型, 电子组态为¹A', 平衡核间距R_PdY＝0.24281 nm, R_YH＝0.19824 nm, 键角∠PdYH＝116.7157°, 离解能D_e＝5.6146 eV, 基态简正振动频率: 对称伸缩振动频率ν₁ (a')＝348.2909 cm^－1, 弯曲振动频率ν₂ (a')＝243.3382 cm^－1, 反对称伸缩振动频率ν₃ (a')＝1442.2695 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PdY和PdYH分子的势能函数, 其等值势能面图准确地再现了PdY和PdYH分子的结构特征和离解能, 由此讨论了Pd＋Y＋H分子反应的势能面静态特征.     

手性有机酸薄层色谱保留指数的拓扑模型

基于Kier的分子连接性指数及邻接矩阵提出新型分子连接性指数（^mG_t^v）;引入手性指数（w_j）并建立了手性连接性指数（^mG_t^v）：^mG_t^v=^mG_t^v×w_j。^mG_t^v适用于手性分子、非手性分子及内消旋异构体的结构差异表征。用多元统计回归研究18种手性羟酸和氨基酸的薄层色谱保留指数（R_M）与^mG_t^v的定量构效关系,经最佳变量子集回归建立其四元数学模型,传统的判定系数（R²）为0.973,逐一剔除法（leave-one-out,LOO）的交互验证系数（Q²）为0.950,结果证明具有良好的稳健性及预测能力。根据进入该模型的4个手性连接性指数（⁰C_p^v、²C_p^v、C_ch^v、⁵C_p^v）可知,影响手性有机酸保留指数的主要因素是分子的二维结构特征和分子的手性特征以及柔韧性、折叠程度等三维结构因素。从上可见,新建手性连接性指数对手性有机酸的保留指数表征具有合理性与有效性,为预测手性有机酸的保留指数提供了一种有效方法。     

单硫醚气相色谱保留指数拓扑化学研究

在分子拓扑化学理论的基础上,根据分子中原子的特性,用分子中原子的平衡电负性对分子图进行着色,在距离矩阵的基础上结合分子中各原子的支化度构建一组新的拓扑指数NPm(m=1,2,3),利用多元线性回归技术将单硫醚在4种极性固定相的气相色谱保留指数与NPm(m=1,2,3)建立相应的定量结构-保留相关关系模型(QSRR),并用这种模型对单硫醚的气相色谱保留指数进行预测,结果表明,预测结果和实验值吻合较好。     

不同极性固定相脂肪醇色谱保留指数QSRR研究

在分子拓扑化学理论基础上,根据脂肪醇分子中各原子特性,在距离矩阵基础上使用分子中原子的平衡电负性对分子图进行着色,构建了新的拓扑指数1Tp和2Tp,并对25个脂肪醇在6种不同极性固定相的色谱保留指数(RI)进行QSRR研究。6个拓扑模型的相关系数R均大于0.9872,得到的实验值与计算值的平均相对误差均小于2%,在实验范围以内。该拓扑指数物理意义明确,较好地描述了脂肪醇分子中各原子的电负性效应、支化效应、氢键缔合效应及空间效应,用于研究色谱保留指数,结果令人满意。同时对拓扑模型采用留一交叉检验法(leave-one-out cross-validation,LOO-CV)和外检验相结合的方法进行测试,测试结果显示模型具有良好稳定性和较强的预测能力。     

用量子化学参数研究烯烃聚合物定量构效关系

以密度泛函理论(DFT)方法所得的烯烃聚合物结构单元的物性参数如总能量E_t、内能E_in、等容比热C_V、熵S、四极矩Q_ii、偶极矩 µ、平均极化率α及原子最大负电荷q^－等8个量子化学参数, 用逐步回归法分别建立了这些参数与摩尔体积V_{298 K}, 摩尔等张体积P_s、摩尔吸收常数色散分量F_d、摩尔折射率R_LL、摩尔抗磁磁化率χ、摩尔粘度温度函数H_vsum、摩尔Rao函数U_R及摩尔Hartmann函数U_H的结构-性能定量关系 (QSPR) 模型, 其测试集的决定系数R²分别是: V_{298 K} 为0.989, P_s为0.982, F_d为0.975, R_LL为0.997, χ为0.988, H_vsum为0.914, U_R为0.988及U_H为0.972. 结果表明, 用这些量子化学参数所建立的聚合物QSPR模型能用于聚合物性能的预测.     

Am指数的扩展与手性化合物的构效关系研究

构效关系研究中的分子拓扑指数(Am)通常仅代表一个化合物的拓扑特征,所以预测手性化合物活性的能力较差.我们对Am指数进行了扩展,得到eAm指数,并将其应用于手性分子的结构-活性相关研究.结果表明,由手性拓扑指数得到的QSAR模型比传统的拓扑指数有更好的统计和预测手性化合物活性的能力.     

拓扑指数与烷烃色谱保留指数的定量相关研究

基于分子图论, 计算了64个链烷烃的一阶连接性指数(¹χ)和奇偶指数(OEI), 并对气相色谱保留指数进行定量结构-性质相关(QSPR)研究, 得到多元线性回归模型RI＝55.7631＋25.7317OEI＋111.4508¹χ (R²＝0.9960, RMS＝9.36, ARD＝1.02%). 交叉验证和预测结果表明, 所建立的QSPR模型具有良好的稳定性和预测能力. 与文献结果比较, 本文所用的参数少, 且计算简便.     

电拓扑状态预测多氯二苯并噻吩及噻吩砜化合物的气相色谱保留指数

以原子类型电拓扑状态指数(ETSI)有效表征了135 个多氯二苯并噻吩(PCDT)和135 个多氯二苯并噻吩砜(PCDTO₂)的分子结构, 应用基于预测的变量选择与模型化(VSMP)方法建立PCDT 和PCDTO₂ 化合物在DB-5 气相色谱柱上的气相色谱保留指数(RI)与分子结构(ETSI)的定量相关模型, 模型的相关系数r² 分别为0.9939 和0.9729, LOO 交叉验证相关系数 q² 分别为0.9921 和0.9692. 为验证模型稳定性和预测能力, 应用17 个PCDT 和PCDTO₂ 训练集样本构建的QSRR 模型的r² 分别为0.9959 和0.9783, LOO 交叉验证相关系数 q² 分别为0.9921 和0.9740, 说明模型具有良好的稳定性. 以此模型预测外部8 个检验集及110 个预测集的RI 值, 8 个检验集样本的结果表明训练集模型具有良好预测能力.     

电拓扑状态指数在有机污染物理化性质和毒理学性质预测中的应用

电拓扑状态指数既表征了各原子在分子中的拓扑信息,也描述了分子中所有原子之间的电性关系.本文概述了电拓扑状态指数的原理和特点,描述了电拓扑状态指数在预测有机污染物理化性质及毒理学性质中的应用.对建立的定量构效关系/定量结构性质关系(QSAR/QSPR)模型的分析表明,有机污染物的沸点、色谱保留指数、溶解度等理化性质以及生物毒性、生物降解性与电拓扑状态指数均具有良好的相关性.     

Gas-liquid chromatography of thioesters of perfluorocarboxylic acids 1. Characteristics of retention

Retention of thioesters of perfluoropentanoic acid C₄F₉C(O)SR was studied by GLC on packed and capillary columns using stationary phases SE-30, SKTFT-50X, XE-60, and Carbowax 20M. The retention indices of these compounds were calculated, and their relationship with the structure of the compounds and the conditions of the analysis were established. Translated fromIzvestiya Akademii, Nauk. Seriya Khimicheskaya, No. 5, pp. 984–986, May, 1997.     

Computation of large systems with an economic basis set: structures and reactivity indices of nucleic acid base pairs from density functional theory

We show here that an economic basis set can describe nucleic acid base pairs involving the hydrogen bond interactions in density functional calculations. The economic basis set in which the polarization function is added only to oxygen and nitrogen atoms of strong electronegativity can predict reliable geometric structures and dipole moment of nucleic acid base pairs, comparable to those obtained from the basis set of 6-31G* in B3LYP calculations. Combining single point calculations with the standard basis set on the geometric structures optimized by the economic basis set, the present approach has predicted accurate natural bond orbital charge, binding energy, electronegativity, hardness, softness, and electrophilicity index. The principle for basis selection presented in this study can be regarded as a general guideline in the computation of large biological systems with considerably high accuracy and low computational expense.     

新型原子类型拓扑指数模拟含氧化合物气相色谱保留指数

Quantitative structure-retention relationship (QSRR) model for the estimation of retention indices (RIs)of 39 oxygen-containing compounds containing ketones and esters was established by our newly introduced distance-based atom-type indices DAI. The useful application of the novel DAI indices has been demonstrated by developing accurate predictive equations for gas chromatographic retention indices. The statistical results of the multiple linear regression for the final model are r=0.9973 and s=8.23. Furthermore, an external test set of 10 oxo-containing compounds can be accurately predicted with the final equation giving the following statistical results: r pred=0.9966 and s pred=8.56.     

Integration of Graph Theory and Quantum Chemistry for Structure-Activity Relationships

Abstract

The objective of this article is to outline both graph-theoretically based and quantum chemically based structural indices of potential use in quantitative structure activity correlations. We consider graph-theoretical indices such as the connectivity index, topological index, Wiener index and molecular ID indices. Several structural and geometry-dependent indices can be derived from semiempirical and ab initio quantum calculations based on the charge densities, overlap matrices, frontier orbitals, molecular hardness, free valence, density matrices, quantum spectral difference indices, quantum spectral indices and bond matrices. Finally, the use of electrostatic potentials and charge densities for the prediction of reactive sites will be discussed.     

Experimental designs for modeling retention patterns and separation efficiency in analysis of fatty acid methyl esters by gas chromatography-mass spectrometry

The retention behavior of components analyzed by chromatography varies with instrumental settings. Being able to predict how changes in these settings alter the elution pattern is useful, both with regards to component identification, as well as with regards to optimization of the chromatographic system. In this work, it is shown how experimental designs can be used for this purpose. Different experimental designs for response surface modeling of the separation of fatty acid methyl esters (FAME) as function of chromatographic conditions in GC have been evaluated. Full factorial, central composite, Doehlert and Box-Behnken designs were applied. A mixture of 38 FAMEs was separated on a polar cyanopropyl substituted polysilphenylene-siloxane phase capillary column. The temperature gradient, the start temperature of the gradient, and the carrier gas velocity were varied in the experiments. The modeled responses, as functions of chromatographic conditions, were retention time, retention indices, peak widths, separation efficiency and resolution between selected peak pairs. The designs that allowed inclusion of quadratic terms among the predictors performed significantly better than factorial design. Box-Behnken design provided the best results for prediction of retention, but the differences between the central composite, Doehlert and Box-Behnken designs were small. Retention indices could be modeled with much better accuracy than retention times. However, because the errors of predicted tR of closely eluting peaks were highly correlated, models of resolution (Rs) that were based on retention time had errors in the same range as corresponding models based on ECL.     

The relationship between the connectivity indices and the thermodynamic parameters describing the interaction of fatty acid methyl esters with polar and nonpolar stationary phases

Summary The relationships between the connectivity indices — easily calculated from the molecular structure of the compounds — and the partial molar free energies of solution are investigated for the methyl esters of 39 saturated (normal and branched) mono- and polyunsaturated higher fatty acids on a nonpolar (SE-30) and polar (SILAR 5CP) phase. The prediction of the ΔG values seems possible for any compound assuming that data for standard compounds are available. The relationship may be generally useful for the thermodynamic evaluation of nonspecific interactions of compounds with the stationary phases.     

Influence of structure of alkenes on their retention on different stationary phases

Summary Retention indices of different alkenes are correlated with connectivity and topological parameters. The appropriate statistically valid relations hips are derived and discussed.     

Electron localization and delocalization indices for solids

The electron localization and delocalization indices obtained by the integration of exchange‐correlation part of pair density over chemically meaningful regions of space, e.g., QTAIM atoms are valuable tools for the bonding analysis in molecular systems. However, among periodic systems only few simplest models were analyzed with this approach until now. This contribution reports implementation and evaluation of the localization and delocalization indices on the basis of solid state DFT calculations. A comparison with the results of simple analytical model of Ponec was made. In addition, a small set of compounds with ionic (NaCl), covalent (diamond, graphite), and metallic (Na, Cu) bonding interactions was characterized using this method. Typical features of different types of bonding were discussed using the delocalization indices. © 2011 Wiley Periodicals, Inc. J Comput Chem, 2011