Aromatic substitution index

A further structural parameter which can now be calculated from H/C, H.,r/H, and f is the aromatic substitution index S,r ... 

Table V. Values of the Aromatic Substitution Index S.r, depending on aromaticity f and H r/H for an Exinite, Vitrinite, and Micrinite...

With the help of the aromatic substitution index C r(mix) and Car(mln) dS well as the corresponding R.r and R r can be calculated. The results of Table VI show clearly that the mean size of the aromatic cluster R.r is smallest for the exinite and biggest for the micrinite. Based on the experience of a few model substances the most probable R r value should lie approximately in the middle between the reported extreme values. 

A second theoretical index, and one for which there appears to be more justification in its application to free-radical reactions, is the atom localization energy. This index is a measure of the energy required to localize one electron of the 7r-electron system in the aromatic molecule at the point of attack of the radical. The formation of the intermediate adduct in a free-radical aromatic substitution may be regarded as the sum of two processes one, the localization of an electron at the point of attack and the other, the pairing of this... 

The aromaticity of 1,2,4-triazoles has been investigated and quantified using the harmonic oscillator model of aromaticity (HOMA) index, where a value of 1 is assigned to a molecule that is fully aromatic, 0 for a nonaromatic molecule, and a negative value for a molecule that is antiaromatic the data obtained were compared to other small-molecule heteroaromatics. It was determined that different tautomers of substituted and unsubstitued 1,2,4-triazoles have individual HOMA indices <2000JST(524)151>. 

Aromatic substitution reactions are often complicated and multistep processes. A correlation, however, in many cases can be found between the charged attacking species and the electron density distribution in the molecule attacked during electrophilic and nucleoph c substitution. No such correlation is expected in radical substitution where the attacking particles are neutral, rather a correlation between the reactivities of separate bonds and a free valency index of the bond order. This allows the prediction of the most reactive bonds. Such an approach has been used by researchers who applied quantum calculations to estimate the reactivities of the isomeric thienothiophenes and to compare them with thiophene or naphthalene. " Until recently quantum methods for studying reactivities of aromatics and heteroaromatics were developed mainly in the r-electron approximation (see, for example, Streitwieser and Zahradnik ). The M orbitals of a sulfur atom were shown not to contribute substantially to calculations of dipole moments, polarographic reduction potentials, spin-density distribution, ... 

The wide scope of application of the electrophilicity index of Parr, Szentpaly, and Liu has been reviewed.1 Applications to electrophilic aromatic substitutions discussed are few. However, some alkylation and acylation reactions do correlate well with electrophilicity values. In the case of the nitration of toluene and chlorobenzene, correlation is not very good and it is suggested2 that electrophilicity is a kinetic quantity with inherent thermodynamic information. 

Reference should also be made to a superdelocalizability index Sp derived within the frame of the simple FEMO model [35], Goodness of fit of correlations of SfE values with relative rate constants for electrophilic aromatic substitution was found to be comparable with those based on CNDO/2 calculations. 

Electrophilic aromatic substitution is a typical reaction for BHs. In the MO treatment, some indices such as free valence [40], localization energy [41], and other quantities [42,43] have been introduced to predict the orientation of electrophilic aromatic substitution. Within the VB framework, several indices have also been formulated [44]. Here we introduce an alternative index, which is available from accurate VB wave functions, and demonstrate its applicability in accounting for the electrophilic aromatic substitution. 

Zhou Z, Parr RG. Activation hardness. New index for describing the orientation of electrophilic aromatic substitution. J Am Chem Soc 1990 112 5720-5724. 

Besides the applications of the electrophilicity index mentioned in the review article [40], following recent applications and developments have been observed, including relationship between basicity and nucleophilicity [64], 3D-quantitative structure activity analysis [65], Quantitative Structure-Toxicity Relationship (QSTR) [66], redox potential [67,68], Woodward-Hoffmann rules [69], Michael-type reactions [70], Sn2 reactions [71], multiphilic descriptions [72], etc. Molecular systems include silylenes [73], heterocyclohexanones [74], pyrido-di-indoles [65], bipyridine [75], aromatic and heterocyclic sulfonamides [76], substituted nitrenes and phosphi-nidenes [77], first-row transition metal ions [67], triruthenium ring core structures [78], benzhydryl derivatives [79], multivalent superatoms [80], nitrobenzodifuroxan [70], dialkylpyridinium ions [81], dioxins [82], arsenosugars and thioarsenicals [83], dynamic properties of clusters and nanostructures [84], porphyrin compounds [85-87], and so on. 

As a result of the nonuniform reaction process, all commercial products within the Alkali Blue series represent mixtures of various products. The respective structure which is listed in the Colour Index only reflects the main component of a differently arylated mixture. Moreover, the aromatic moieties not only represent differently substituted compounds but also mixtures of various degrees of sulfonation. 

Recent research by Kornilov et al. (91ZOR144) on the aromaticity of 6-nitro-TPs substituted at C-2 revealed that the experimentally detected values (by reversible covalent hydration) proved more sensitive to substituent effects than the modified aromaticity index ANs of Pozharskii did. 

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