A new possibility for estimating the octanol/water coefficient (log P) was investigated using only one descriptor, the semi-empirical electrotopological index (ISET). The predictability of four octanol/water partition coefficient (log P) calculation models was compared using a set of 131 aliphatic organic compounds from five different classes. Log P values were calculated employing atomic-contribution methods, as in the Ghose/Crippen approach and its later refinement, AlogP; using fragmental methods through the ClogP method; and employing an approach considering the whole molecule using topological indices with the MlogP method. The efficiency and the applicability of the ISET in terms of calculating log P were demonstrated through good statistical quality (r > 0.99; s < 0.18), high internal stability and good predictive ability for an external group of compounds in the same order as the widely used models based on the fragmental method, ClogP, and the atomic contribution method, AlogP, which are among the most used methods of predicting log P.
The semi-empirical electrotopological index, I SET , used for quantitative structure-retention relationship (QSRR) models firstly developed for alkanes and alkenes, was remodeled for organic functions such as ketones and aldehydes. The I SET values for hydrocarbons are calculated through the atomic charge values obtained from a Mulliken population analysis using the semi-empirical AM1 method and their correlation with the SET i values attributed to the different types of carbon atoms according to experimental data. For ketones and aldehydes the interactions between the molecules and the stationary phase are slowly increased relative to the hydrocarbons, due to the charge redistribution that occurs in the presence of heteroatoms. For these polar molecules the increase in the interactions was included in the calculation of the I SET values through the dipole moment of the whole molecule and also through an equivalent local dipole moment related to the net charges of the atoms of the C --O and HC --O functional groups. Our findings show that the best definition of an equivalent local dipole moment is clearly dependent on the specific features of the charge distribution in the polar region of the molecules (e.g. ketones and aldehydes), which allows them to be distinguished. Thus, the QSRR models for 15 aldehydes and 42 ketones obtained using the remodeled I SET were of good quality as shown by the statistical parameters. The ability of this remodeled index to include charge distribution and structural details opens a new way to study the correlations between the molecular structure and retention indices in gas chromatography.
A new semi-empirical electrotopological index, I SET , for quantitative structure-retention relationships (QSRR) models was developed based on the refinement of the previously published semi-empirical topological index, I ET . We demonstrate that the values of C i fragments that were firstly attributed from the experimental chromatographic retention and theoretical deductions have an excellent relationship with the net atomic charge of the carbon atoms. Thus, the values attributed to the vertices in the hydrogen-suppressed graph of carbon atoms (C i ) are calculated from the correlation of the net atomic charge in each carbon atom, which is obtained from quantum chemical semiempirical calculations, and the C i fragments for primary, secondary, tertiary and quaternary carbon atoms (1.0, 0.9, 0.8 and 0.7, respectively) obtained from the experimental values. This shows that I ET encoded this quantum physical reality and that it is possible to calculate a new I SET (the semi-empirical electrotopological index) through the net atomic charge values obtained from a Mulliken population analysis using the semi-empirical AM1 method and their correlation with the values attributed to the different types of carbon atoms. This demonstrates that the I SET encodes information on the charge distribution of the solute on which dispersive and electrostatic interactions between the solute (alkanes and alkenes) and the stationary phase strongly depend. Thus, this new method can be considered as an initial step towards forthcoming QSRR/QSAR studies.
O índice semi-empírico topológico, desenvolvido previamente por Heinzen e Yunes, foi aplicado para predizer a retenção cromatográfica de cetonas e aldeídos alifáticos, em fases estacionárias de diferentes polaridades (HP-1, HP-50, DB-210 e Innowax). Foram estabelecidas regressões lineares simples entre os índices de retenção experimentais e os índices semi-empíricos topológicos (RI Exp = a + bI ET ) para cada fase estacionária separadamente, sendo que os parâmetros estatísticos obtidos foram de qualidade satisfatória. A polaridade das fases estacionárias indicada pela polaridade de McReynolds (P R ), encontra-se refletida nos coeficientes das equações (a e b) obtidos para HP-1, HP-50, DB-210 e Innowax, os quais aumentam linearmente a medida que a polaridade também aumenta (intercepto). As análises estatísticas indicaram que os modelos de correlação quantitativa estrutura-retenção cromatográfica (QSRR) obtidos em fases estacionárias de baixa a média polaridade (HP-1 e HP-50) têm maior estabilidade e habilidade de predição do que os obtidos em fases estacionárias polares (DB-210 e Innowax). Sendo assim, pode-se concluir que, em fases estacionárias consideradas de baixa a média polaridade, o método semi-empírico topológico empregando somente um descritor obteve melhores resultados do que métodos que utilizaram descritores múltiplos.The semi-empirical topological index, previously developed by Heinzen and Yunes, has been applied to predict the chromatographic retention of aliphatic ketones and aldehydes on stationary phases of different polarities (HP-1, HP-50, DB-210 and Innowax). Simple linear regressions between the retention indices and the semi-empirical topological indices (RI = a + bI ET ) were established for each stationary phase separately, showing satisfactory statistical parameters. The polarity of the stationary phases, indicated by McReynolds polarity (P R ), is reflected in the coefficients of the equations (a and b) obtained for HP-1, HP-50 and DB-210, which linearly vary as the polarity of the stationary phase increases (intercept). Statistical analyses showed that the quantitative structurechromatographic retention relationship (QSRR) models obtained on stationary phases of low-tomedium polarity (HP-1 and HP-50) have higher stability and predictive ability than those on polar stationary phases (DB-210 and Innowax). Thus, it can be concluded that the semi-empirical topological method, using only one descriptor, yielded better results on low-to-medium polarity stationary phases than methods that used multiple descriptors.
This study was carried out to show the predictive capacity of the semi-empirical topological index (I ET ) in estimating some important physical properties; melting point, Mp (-C), boiling point, Bp (-C), and experimental log p of halogenated aliphatic hydrocarbons. The retention index (RI) values of 141 compounds were used in the building of this specific model of the I ET . The simple linear regression between RI Exp and the I ET exhibits high quality with a coefficient of determination of r 2 ¼ 0.9995, standard deviation of SD ¼ 8 and leave-one-out cross-validation correlation coefficient of r Finally, for 19 compounds the correlation between the experimental log p-value and that calculated using the I ET method gave a value of r 2 ¼ 0.9871, while the correlation with the value obtained using the most used Fragment Addition Method was r 2 ¼ 0.9750. These results show the predictive capacity of the I ET for these physical properties.
The semi-empirical topological index (I(ET)), developed to predict the chromatographic retention of a series of organic compounds, is extended to predict other properties and biological activities of aliphatic alcohols. This topological index takes into account the contribution of each individual atom type to the property considered and is able to encode information about structural features of the molecules. The efficiency of this index is verified by high quality Structure - Property and structure - Activity Relationships (QSPR/QSAR) models obtained for several representative physicochemical properties, biological activities and toxicities of aliphatic alcohols. Most of the properties investigated are well modeled (r > 0.98) employing the I(ET). Cross-validation using the more general leave-one-out method demonstrates that these models are highly statistically reliable. The proposed I(ET) index promises to be a useful descriptor in the QSPR/QSAR studies.
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