Int. J. Mol. Sci. 2001, 2, 121-132 International Journal of Molecular Sciences ISSN 1422-0067 www.mdpi.org/ijms/ Maximum Topological Distances Based Indices as Molecular Descriptors for QSPR. 4. Modeling the Enthalpy of Formation of Hydrocarbons from Elements Andrés Mercader 1, Eduardo A. Castro 1,* and Andrey A. Toropov2 1 CEQUINOR, Departamento de Química, Facultad de Ciencias Exactas, Universidad Nacional de la Plata, C.C. 962, La Plata 1900, Argentina. e-mail:
[email protected] 2 Andrey A. Toropov, Vostok Innovation Company, S. Azimstreet 4, 100047 Tashkent, Uzbekistan. e-mail:
[email protected] * Author to whom correspondence should be addressed. e-mail:
[email protected] Received: 9 April 2001 Accepted: 15 June 2001/ Published: 28 June 2001 Abstract: The enthalpy of formation of a set of 60 hydroarbons is calculated on the basis of topological descriptors defined from the distance and detour matrices within the realm of the QSAR/QSPR theory. Linear and non-linear polynomials fittings are made and results show the need to resort to higher-order regression equations in order to get better concordances between theoretical results and experimental available data. Besides, topological indices computed from maximum order distances seems to yield rather satisfactory predictions of heats of formation for hydrocarbons. Keywords: QSPR theory, Detour matrix, Enthalpy of formation, Hydrocarbons, Topologi- cal indices 1. Introduction Graphs have found considerable employment in several chemistry fields, particularly in modeling molecular structure [1-10]. The applications of graphs to the study of structure-property relationships implies the representation of molecules by selected molecular descriptors, often referred to as topo- logical indices [11,12].