Physico-Chemical and Structural Interpretation of Discrete Derivative Indices on N-Tuples Atoms
AbstractThis report examines the interpretation of the Graph Derivative Indices (GDIs) from three different perspectives (i.e., in structural, steric and electronic terms). It is found that the individual vertex frequencies may be expressed in terms of the geometrical and electronic reactivity of the atoms and bonds, respectively. On the other hand, it is demonstrated that the GDIs are sensitive to progressive structural modifications in terms of: size, ramifications, electronic richness, conjugation effects and molecular symmetry. Moreover, it is observed that the GDIs quantify the interaction capacity among molecules and codify information on the activation entropy. A structure property relationship study reveals that there exists a direct correspondence between the individual frequencies of atoms and Hückel’s Free Valence, as well as between the atomic GDIs and the chemical shift in NMR, which collectively validates the theory that these indices codify steric and electronic information of the atoms in a molecule. Taking in consideration the regularity and coherence found in experiments performed with the GDIs, it is possible to say that GDIs possess plausible interpretation in structural and physicochemical terms. View Full-Text
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Martínez-Santiago, O.; Marrero-Ponce, Y.; Barigye, S.J.; Le Thi Thu, H.; Torres, F.J.; Zambrano, C.H.; Muñiz Olite, J.L.; Cruz-Monteagudo, M.; Vivas-Reyes, R.; Vázquez Infante, L.; Artiles Martínez, L.M. Physico-Chemical and Structural Interpretation of Discrete Derivative Indices on N-Tuples Atoms. Int. J. Mol. Sci. 2016, 17, 812.
Martínez-Santiago O, Marrero-Ponce Y, Barigye SJ, Le Thi Thu H, Torres FJ, Zambrano CH, Muñiz Olite JL, Cruz-Monteagudo M, Vivas-Reyes R, Vázquez Infante L, Artiles Martínez LM. Physico-Chemical and Structural Interpretation of Discrete Derivative Indices on N-Tuples Atoms. International Journal of Molecular Sciences. 2016; 17(6):812.Chicago/Turabian Style
Martínez-Santiago, Oscar; Marrero-Ponce, Yovani; Barigye, Stephen J.; Le Thi Thu, Huong; Torres, F. J.; Zambrano, Cesar H.; Muñiz Olite, Jorge L.; Cruz-Monteagudo, Maykel; Vivas-Reyes, Ricardo; Vázquez Infante, Liliana; Artiles Martínez, Luis M. 2016. "Physico-Chemical and Structural Interpretation of Discrete Derivative Indices on N-Tuples Atoms." Int. J. Mol. Sci. 17, no. 6: 812.
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