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Molecules 2004, 9(12), 1053-1078; doi:10.3390/91201053

Molecular van der Waals Space and Topological Indices from the Distance Matrix

1,* , 2
1, 3, 4, 1 and 1
1 Department of Organic Chemistry, Faculty of Pharmacy, P-ta Eftimie Murgu No. 2, 300041 Timisoara, Romania 2 Department of Organic Chemistry, Chemical Engineering Faculty, University “Politehnica”, Str.Bocsa 6, 300001 Timisoara, Romania 3 152 Davey Laboratory, Department of Chemistry, Penn State University, University Park, PA 16802, USA 4 Department of Computer Sciences, Faculty of Automation and Computer Sciences, Technical University “Politehnica”, Bd. Vasile Parvan Nr. 2, 300223 Timisoara, Romania
* Author to whom correspondence should be addressed.
Received: 1 June 2004 / Accepted: 7 October 2004 / Published: 31 December 2004
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A comparative study of 36 molecular descriptors derived from the topologicaldistance matrix and van der Waals space is carried out within this paper. They arepartitioned into 16 generalized topological distance matrix indices, 11 topologicaldistance indices known in the literature (seven obtained from eigenvalues/eigenvectors ofdistance matrix), and 9 van der Waals molecular descriptors. The generalized topologicaldistance indices, kδλ (λ = 1 – 3, k = 1 – 4), are introduced in this work on the basis ofreciprocical distance matrix. Intercorrelation analysis reveals that topological distanceindices mostly contain the same type of information, while van der Waals indices can bebound to the shape or the size of molecules. Furthermore, we found that topologicaldistance indices are good for describing molecular size, and they may be viewed as bulkparameters. The most accurate QSPR models for predicting boiling point of alkanes arebased on some of the generalized, eigenvalues/eigenvectors topological distance indicesand the van der Waals descriptors of molecular size.
Keywords: QSPR; topological distance indices (TDI); van der Waals molecular descriptors (vdWMD). QSPR; topological distance indices (TDI); van der Waals molecular descriptors (vdWMD).
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ciubotariu, D.; Medeleanu, M.; Vlaia, V.; Olariu, T.; Ciubotariu, C.; Dragos, D.; Corina, S. Molecular van der Waals Space and Topological Indices from the Distance Matrix. Molecules 2004, 9, 1053-1078.

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