用于饱和链烃类化合物的结构/性质相关性研究的一种新的拓扑指数

分子的结构决定分子的性质 ,从分子结构提炼出的结构信息进行数值化即得到分子拓扑指数。用拓扑指数来进行定量结构 活性相关性(ＱＳＡＲ)以及定量结构 性质相关性 (ＱＳＰＲ)研究是目前非常活跃的领域。到目前为止 ,已相继提出1 2 0多种拓扑指数[1] 。利用这些拓扑指数来讨论饱和链烃类化合物的性质已经得到了许多有益的结果[2 ] 。本文利用距离矩阵和邻接矩阵 ,提出了一种新的拓扑指数Ｚｈ,对饱和链烃类化合物的性质进行预测和预报 ,结果表明 ,这种拓扑指数具有良好的结构选择性和性质相关性。1　方法以 2 甲基丁烷为例 ,其隐氢图为 :其…     

一种新的自相关拓扑指数及其互补指数应用于不饱和链烃物理性质的QSPR研究

依据系统命名法的编号原则及不饱和链烃的结构特证,建立了原子的染色序数(ti),并在邻矩阵基础上由ti构建原子染色序数自相关指数(mR)及互补指数mR′,其中0R1、R、互补指数0R′1、R′,C原子个数(N)与炔烃的沸点、烯烃的热力学性质(标准生成焓、标准熵、标准熵和标准生成自由能)有良好的相关性,相关系数分别为0.999 2,0.999 4,0.999 4和0.994 1.该模型用于预测不饱和链烃的物理性质,计算简便,结果准确.     

Novel topological index for research on structure-property relationships of complex organic compounds

Based on bonding parameters such as Yang's Electronegative Force Gauge Y(i), electronic number of valence layer Z(i), number of combined hydrogen atoms h(i), number of bonding electron b(i), and quantum number such as the highest main quantum number of valence layer n(i), a novel atomic valence delta(i) (Y) is defined and a novel topological index (1)chi(Y) is derived from the atomic valence. The atomic valence is defined as delta(i) (Y) = (Z(i) - h(i))b(i)/n(i) (2)Y(i), while the topological index is expressed as (1)chi(Y) summation operator (i,j=1) (m) (delta(i) (Y)delta(j) (Y))(-1/2). Subsequently, the index (1)chi(Y) is utilized to study the structure-property relationships of complex organic compounds. The results of correlativity showed that the index is highly and extensively correlated with such properties as solubility of phenyl chlorides, gas chromatographic retention index of alkoxyl silanes, and toxicity of heterocyclic nitrogen-containing compounds. Moreover, predicted values are quite consistent with experimental ones when the index is employed to predict the partition coefficient (log P) of fatty alcohols, phenyl chlorides, and barbitals. Compared to the topological indices reported in the literature, the universality and reliability of (1)chi(Y) to the properties of complex organic compounds have been distinctively improved, and its calculating process is simple and convenient.     

Modification of the Wiener index 4

A novel topological index W(F) is defined by the matrices X, W, and L as W(F) = XWL. Where L is a column vector expressing the characteristic of vertices in the molecule; X is a row vector expressing the bonding characteristics between adjacent atoms; W is a reciprocal distance matrix. The topological index W(F), based on the distance-related matrix of a molecular graph, is used to code the structural environment of each atom type in a molecular graph. The good QSPR/QSAR models have been obtained for the properties such as standard formation enthalpy of inorganic compounds and methyl halides, retention indices of gas chromatography of multiple bond-containing hydrocarbons, aqueous solubility, and octanol/water partition of benzene halides. These models indicate that the idea of using multiple matrices to define the modified Wiener index is valid and successful.     

扩展的距离矩阵指数W~*及其应用研究

重新定义了距离矩阵及距离矩阵拓扑指数W~*，该定义考虑分子中每一原子的 性质和成键情况以及分子中每一原子与所有其它原子的结合情况。拓扑指数W~*对 于饱和碳氢体系可还原为Wiener的距离矩阵指数W，同时，W~*还可一般地应用于含 多重键及杂质原子的有机体系和无机体系。本研究用W~*相关的卤代甲烷标准生成 焓、SiX_n（X = F，Cl，Br，I，n = 1～4）体系的标准生成焓，相关系数均在0. 99以上，置信度大于99.9%。并用W~*研究了含苯环的碳氢体系气相色谱保留指数， 含氧原子的醛酮体系的标准生成焓以及卤代苯体系的辛醇/水分配系数。对饱和碳 氢体，W为W~*的特殊形式。     

On reciprocal molecular topological index

We report some properties of the reciprocal molecular topological index RMTI of a connected graph, and, in particular, its relationship with the first Zagreb index M₁. We also derive the upper bounds for RMTI in terms of the number of vertices and the number of edges for various classes of graphs, including K _r+1 -free graphs with r ≥ 2, quadrangle-free graphs, and cacti. Additionally, we consider a Nordhaus-Gaddum-type result for RMTI.     

Prediction of vaporization enthalpy based on modified Randič indices. Alkanes

Methods to calculate the enthalpy of vaporization of alkanes under normal conditions are considered using the classic Randi? method and its modifications. The calculation based on modified methods is shown to be capable of predicting the vaporization enthalpy of alkanes with an error comparable with that of experimental measurements.     

键连接性指数的建构及其在有机体系中的应用研究

以化学键为基础建构了键连接性指数及分子键连接性指数，该指数同时考虑顶 点原子的化学特征及键的性质．对于任意化学键，键连接性指数Si＝1+△I/R·[（ Z1-h1)m2/n1+(Z2-h2)m1/n2]，分子键连接性指数S为∑i=1^m√Si或∑i=1^m1/√ Si，其中，Z1，Z2为化学键键连原子的价电子数；n1，n2成键原子的价层最高主量 子数；m1，m2为成键原子的氧化数；h1，h2为与成键原子相连的氢原子个数；△I 为成键原子的电负性差(△I≥0)；R为化学键的相对键长．与以顶点为基础的价连 接性指数不同，该指数不仅能方便而有效地应用于饱和碳氢体系亦能有效地应用于 含多重键的不饱和体系及含杂原子的有机体系．研究了饱和碳氢体系标准生成焓， 不饱和碳氢体系和酮、醚、酯体系在水中的溶解度和辛醇/水分配系数，卤代甲烷 体系的标准生成焓，卤代苯体系辛醇/水分配系数，均取得比较满意的结果。     

Smooth function topological structure descriptors based on graph-spectra

The spectral topological indices: energy and Estrada index of a graph are generalized for any smooth function. The smooth function indices are introduced for this purpose as well as, via positive definite square summable functions, the Shannon entropy of a graph. Some comparative values are given between linear chains and cycles.     

分子结构／性质相关性的研究：一种新的拓扑指数及其应用

本文以图论为基础,提出一种新的表征有机化合物分子结构特征的拓扑指数,并将其用于研究饱和链烃类化合物的物理化学性质,得很了满意的结果。与已有的拓扑指数相比较,表明该指数具有良好的唯一性和相关性。     

化合物结构／性质相关的研究／拓扑指数法（Ⅰ）

本文提出一种新的拓扑指数－ＥＡ系列指数，它是从表示分子图形的邻接矩阵出发，结合图形中顶点的度构造成ＥＡ矩阵，计算ＥＡ矩阵的本征值，求出本征值绝对值和指数ＥＡΣ及本征值绝对值最大值指数ＥＡｍａｘ，实验表明，ＥＡ系列指数具有良好的唯一性和相关性。     

分子价连接性指数中杂原子价点价计算新方法及应用

对分子价连接性指数中杂原子点价δ^v~i的计算方法进行了改进,提出了一种计算杂原子价点价δ^h~i的新方法,认为分子中某一杂原子i的价点价δ^h~i值不仅与它的价层电子数Z~i、最高主量子数n~i以及结合的氢原子数目h~i有关,还与它所在的族烽N~i、陷氢图中连接的其他原子的数目m~i以及杂化方式L~p有关。杂原子i的δ^h~i值与原子i的Pauling电负性具有相近的物理意义。用由δ^h~i构成的分子价连接性指数^nχ^h(n=0,1,2)研究了取代芳烃和烃衍生物的物理化学性质和生物活性,结果表明,^1χ^h比^1χ^v有显著的改善,计算值与实验值接近的程度更高。     

拓扑指数F'与烷基苯标准生成焓相关关系研究

新建议的拓扑指数F'考虑了分子的图形特征,顶点原子的性质,顶点原子与相邻原子的键合情况,并以矩阵的形式把这些特征表达出来。n个原子构成的体系通过矩阵运算可得到包含n项的多项式,其中,每一项对应一个顶点原子对F'的贡献,从而赋予了拓扑指数F'明确的物理意义。用F'研究一些烷基苯的标准生成焓,得到了令人满意的结果。     

拓扑指数mG及对无机氢化物pKa1值的预测

受Randic分子连接性拓扑指数^mX的启发，构建了一种新的分子连接性拓扑指数^mG.^mG的0，1阶指数^0G,^1G与P区无机氢化物的pKa1值关联，拟合成2个线性方程，其相关系数与相关指数分别为0.9958和0.9959，拓扑指数的结构选择性满足惟一性表征。     

New atom-type-based AI topological indices: Application to QSPR studies of aldehydes and ketones

Multiple linear regression (MLR) analysis based on a combined use of the modified Xu index and the atom-type based AI indices is performed to construct quantitative structure-property models on several data sets of organic compounds including aliphatic aldehydes and/or ketones. For each of the physical properties (the normal boiling points, molar refractions, gas heat capacities at 25 degrees C, water solubility at 25 degrees C, and n-octanol/water partition coefficient at 25 degrees C), high quality QSPR models are obtained, particularly the decrease in the standard error is within the range of 23.6-75.9% relative to the linear models with the modified Xu index alone. For individual subsets containing only aldehydes or ketones, in the majority of cases the quality of the model can be further improved. The significant improvement verifies the efficiency of the present approach and also indicates the usefulness of these indices for application to a wide range of physical properties. The results indicate that the physical properties studied are dominated by molecular size but atom types have smaller influences, especially the oxygen atom seems to be most important due to intermolecular polar interactions. The final models are validated to be statistically reliable using the leave-one-out cross-validation and/or an external test set.     

Prediction of the chromatographic retention of saturated alcohols on stationary phases of different polarity applying the novel semi-empirical topological index

The novel semi-empirical topological index (I_ET), previously developed by Heinzen and Yunes, was extended to predict the chromatographic retention of saturated alcohols on low polarity stationary phases (OV-1). The predictive ability of I_ET was also verified on stationary phases of different polarity (SE-30, OV-3, OV-7, OV-11, OV-17 and OV-25). Simple linear regressions between the retention indices and the semi-empirical topological index (RI=a+bI_ET) were established for each stationary phase separately, showing good statistical parameters. Statistical analysis showed that the QSRR model used on stationary phases of low polarity (OV-1) has high internal stability and good predictive ability for external groups. The polarity of the SE-30, OV-3, OV-7, OV-11, OV-17 and OV-25 stationary phases, indicated by retention polarity (P_R) given by Tarján et al., is reflected in the ‘a’ (intercept) and ‘b’ (slope) coefficients of the equations obtained for each of these phases. The linear relationship between the ‘a’ coefficient and P_R showed satisfactory statistical quality. Thus, it was possible to generate a single combined model of QSRR, including a parameter that represents the property of the stationary phase P_R. The combined model also has a satisfactory predictive quality, as shown by the plot of calculated versus experimental retention indices for saturated alcohols on six stationary phases of different polarity (r²=0.9956; S.D.=9.54).