直链烷烃取代衍生物Wiener指数的简便计算方法

根据直链烷烃衍生物分子拓扑结构的特点,将直链烷烃衍生物拆分为由直链单元和取代基团几个部分构成,再根据每部分的拓扑结构特点给出相应的计算公式.从而提出了一个计算直链烷烃衍生物Wiener指数的简便方法,达到简化计算的目的.该方法简化了传统Wiener指数的计算方法,使Wiener指数的计算具有效率高、不易出错等优点,便于Wiener指数计算程序化,从而提高了Wiener指数的实用性.     

模拟保留指数法分析汽油族组成

传统上用气相色谱正构烃类为基准的Kovats保留指数或线性保留指数对汽油的组份进行定性，分析汽油族组成．但此方法有一定的局限性，一是不适合多阶程序升温过程的分析，其次是对于烯烃含量较多的汽油用软件自动识别分析时，需人工干预，色谱峰总的识别率经常低于90.0％．提出了模拟指数的概念和计算规则．采用模拟保留指数定性，色谱峰识别准确，色谱峰总的识别率一般能达99．5％以上．     

Variable neighborhood search for extremal graphs. 6. Analyzing bounds for the connectivity index

Recently, Araujo and De la Pe?a gave bounds for the connectivity index of chemical trees as a function of this index for general trees and the ramification index of trees. They also gave bounds for the connectivity index of chemical graphs as a function of this index for maximal subgraphs which are trees and the cyclomatic number of the graphs. The ramification index of a tree is first shown to be equal to the number of pending vertices minus 2. Then, in view of extremal graphs obtained with the system AutoGraphiX, all bounds of Araujo and De la Pe?a are improved, yielding tight bounds, and in one case corrected. Moreover, chemical trees of a given order and a number of pending vertices with minimum and with maximum connectivity index are characterized.     

Topological indices and QSPR analysis of some chemical structures applied for the treatment of heart patients

In this study, various beta-blocker drugs used for heart disease were analyzed, and their degree-based topological indices derived from the M-polynomial were calculated. Linear and quadratic regression analysis was used to obtain quantitative structure-property relationship models between the topological indices and eight the physicochemical properties of the drugs to determine their effectiveness. The results show that the harmonic index was the best predictor for boiling point, flashpoint, and enthalpy of vaporization, while the redefined third Zagreb index was effective for polarizability, molar refractivity, and molar volume. The inverse sum indeg index was found to be effective for molar refractivity, and the second modified Zagreb index was surface tension in linear regression models. In addition, the redefined third Zagreb index was the best predictor for polarizability and molar refractivity, while the second modified Zagreb index was effective for molar volume. The SDD index was found to be effective for surface tension in quadratic regression models.     

An optimization of the procedure for the calculation of Hosoya's index

An optimized procedure for the calculation of Hosoya's topological index is presented. The procedure has been implemented in PASCAL. The described procedure could be simply modified for calculations of different modifications of Hosoya's index and Merrifield-Simmon's index. As an example, four useful modifications of Hosoya's index are defined.     

A Lu index for QSAR/QSPR studies

A novel topological index based on Wiener index, named Lu index, is proposed and can be used for modeling properties of heteroatom-containing and multiple bond organic compounds. The usefulness of the Lu index was demonstrated by modeling normal boiling points and molar refractions of aldehydes and ketones, and the retention indices of gas chromatography of hydrocarbons and halogenated hydrocarbons. The high correlation coefficients (>0.99) for all constructed models indicate the need of such an index, and show the potential of the Lu index for QSAR/QSPR studies.     

环烷烃及烷烃的折光指数与结构的关系研究

A new structure information autocorrelation topological index tX is designed and developed based on the vertex degree of molecular topology and autocorrelation function of mathematics. Quantitative structure property the relationships for estimating the refractive index of cycloalkane and alkane are set up based on multiple linear regression. The vertex degree is defined as βi .The structure information autocorrelation topological index tX is set up with the βi. The refractive index （nD）, for the 64 cycloalkanes, are correlated with this topological indices. The index, for the 27 alkanes, are also correlated with this topological indices. The calculated results showed that the calculated refractive index of cycloalkanes and alkanes are in good agreement with the experimental data, with the mean velative deviation 0.25%. With the established model, the refractive index of the other 5 alkanes are predicted.     

The absolute retention index in chromatography. Part 1

A definition for an absolute retention index is given. This index is independent of whether the process is isothermal or temperature programmed. The relation between this index and Kovats's index is discussed. General equations are derived for the retention times of homologous series, from which the position of the air peak or missing members can be determined. Methods used in the literature for air peak determination are improved and extended to other cases of interest. The retention index in temperature programmed chromatography is reexamined in the light of recent publications on temperature programming.     

On the relation between W'/W index, hyper-Wiener index, and Wiener numbers

It is shown analytically that the W'/W index, the hyper-Wiener index, and the Wiener number are closely related graph-theoretical invariants for acyclic structures. A general analytical expression for the hyper-Wiener index of a tree is derived too.     

氧指数检测能力验证结果分析

为了解氧指数检测实验室的能力水平,中国合格评定国家认可委员会(CNAS)开展了"塑料燃烧性能试验(氧指数法)"能力验证计划。通过对氧指数能力验证计划的结果进行统计分析,评价了氧指数检测实验室的整体水平,指出了氧指数检测实验室普遍存在的几类问题并提出了相应的建议。     

Enumeration of the Multiplicative Degree-Kirchhoff Index in the Random Polygonal Chains

Multiplicative degree-Kirchhoff index is a very interesting topological index. In this article, we compute analytical expression for the expected value of the Multiplicative degree-Kirchhoff index in a random polygonal. Based on the result above, we also get the Multiplicative degree-Kirchhoff index of all polygonal chains with extremal values and average values.     

How to compute the Wiener index of a graph

The Wiener index of a graphG is equal to the sum of distances between all pairs of vertices ofG. It is known that the Wiener index of a molecular graph correlates with certain physical and chemical properties of a molecule. In the mathematical literature, many good algorithms can be found to compute the distances in a graph, and these can easily be adapted for the calculation of the Wiener index. An algorithm that calculates the Wiener index of a tree in linear time is given. It improves an algorithm of Canfield, Robinson and Rouvray. The question remains: is there an algorithm for general graphs that would calculate the Wiener index without calculating the distance matrix? Another algorithm that calculates this index for an arbitrary graph is given.     

L'indice de rétention des alcanes isomères en chromatographie en phase gazeuse

A method, using the radiolysis of an alkane, for the obtention of a great number of branched hydrocarbons is given. The retention index at 100° as well as its variation with temperature is determined on Apiezon L for 200 alcanes containing between seven and twenty four carbons. It is shown that for branched hydrocarbons the decrease of the retention index is mainly due to the length of the substituent group but also to its position on the chain. Some rules between retention index and molecular structure are deduced that allow the determination of the index of higher branched hydrocarbons. It is also shown that the variation of the retention index with temperature is only a function of the length of the substituent group.     

同系物保留指数作为脂肪酸气相色谱定性参数的优越性考察

在气相色谱分析中,通常采用相对保留值和Kovats保留指数作为化学物质的定性参数。相对保留值在使用中受到参考标准不一致的限制而难于推广,况且柱温对相对保留值的影响很大,其重现性还受到待鉴定物与参考标准保留值差距大小的影响。只有在待鉴定物与参考标准的保留值差距不大时,相对保留值才可靠。     

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.     

Retention index,connectivity index and Van der Waals' volume of alkanes (GLC)

Summary The relationships between retention index and Van der Waals' volume and between retention index and connectivity index have been studied for 58 different alkanes (C₁–C₉) on squalane. The correlation coefficient for the former is higher than for the latter. From these equations a linear relationship between Van der Waals' volume and connectivity index is obtained which indicates that the two parameters are equivalent. A simple method for calculating the Van der Waals' volume of alkanes is proposed.     

The stability of high refractive index polymer materials for high-density planar optical circuits

Owing to the structural flexibility, easy processing and fabrication capabilities, polymers are being increasingly attractive for a variety of optical applications. In order to increase the integration density of such optical circuits, higher index contrasts and, thus, polymers with considerably higher refractive index are essentially needed. An organometallic polymer and a conventional epoxy material are combined to form a compatible high index material. When cured at elevated temperatures, the organometallic polymer decomposes to form a highly dispersed metal oxide phase that imparts high index properties to the polymer films. These hybrid high refractive index polymer films must be stable in patterning of optical waveguide structure for photonic manufacturing. In this paper, we report the stability and optical characterization study of a modified organometallic high refractive index polymer film in manufacturing of optical waveguide devices.     

饱和链烃类化合物的物理化学性质的分子拓扑研究

从距离矩阵和原子的支化度出发,提出了一种新的拓扑指数,计算结果表明,它具有良好的结构选择性和性质相关性。