Quantum fidelity for analyzing atoms and fragments in molecule: Application to similarity, chirality, and aromaticity

作者: Anatoliy V. Luzanov

DOI: 10.1002/QUA.22510

关键词: MoleculeAb initioSimilarity measureSimilarity (network science)Quantum informationChirality (chemistry)Quantum mechanicsChemistryQuantumAromaticity

摘要: Quantum information theory is applied to formulate a new technique for dealing with molecular similarity problems. In this technique, the so-called quantum fidelity appears be counterpart of conventional measure due Carbo (Carbo, R.; Leyda, L.; Arnau, M. Int J Chem 1980, 17, 1185). We define many-body spin-free density matrices atoms and fragments in molecule, compute corresponding measures subsystems. It allows us treat problem from beginning within many-electron setting. The approach employed analyzing between free molecule. A chirality index, as based on molecule its mirror image, suggested an approximately additive nonnegative quantity. also examine local aromaticity by computing benzenoid polyaromatic hydrocarbons. detailed study proposed indices reported at ab initio or semiempirical levels. © 2010 Wiley Periodicals, Inc. Chem, 2011

参考文章(126)
Ramon Carbó, Blanca Calabuig, Leonel Vera, Emili Besalú, Molecular Quantum Similarity: theoretical Framework, Ordering Principles, and Visualization Techniques12 Advances in Quantum Chemistry. ,vol. 25, pp. 253- 313 ,(1994) , 10.1016/S0065-3276(08)60021-0
Nicholas J. Higham, Functions of Matrices Philadelphia, PA, USA: Society for Industrial and Applied Mathematics; 2008.. ,(2008) , 10.1137/1.9780898717778
Patrick Bultinck, Xavier Gironés, Ramon Carbó-Dorcaz, Molecular Quantum Similarity: Theory and Applications Reviews in Computational Chemistry. ,vol. 21, pp. 127- 207 ,(2005) , 10.1002/0471720895.CH2
C. David Sherrill, Henry F. Schaefer, The Configuration Interaction Method: Advances in Highly Correlated Approaches Advances in Quantum Chemistry. ,vol. 34, pp. 143- 269 ,(1999) , 10.1016/S0065-3276(08)60532-8
F.A. Matsen, Spin-Free Quantum Chemistry Advances in Quantum Chemistry. ,vol. 1, pp. 59- 114 ,(1964) , 10.1016/S0065-3276(08)60375-5
Paolo Lazzeretti, Assessment of aromaticity via molecular response properties Physical Chemistry Chemical Physics. ,vol. 6, pp. 217- 223 ,(2004) , 10.1039/B311178D
Nicholas J. Higham, Stable iterations for the matrix square root Numerical Algorithms. ,vol. 15, pp. 227- 242 ,(1997) , 10.1023/A:1019150005407
G. T. Klimko, M. M. Mestechkin, G. E. Whyman, Fock coordinate function method for separation of spin variables in transition density matrices International Journal of Quantum Chemistry. ,vol. 17, pp. 415- 428 ,(1980) , 10.1002/QUA.560170304
Pere Constans, Llu�s Amat, Ramon Carb�-Dorca, TOWARD A GLOBAL MAXIMIZATION OF THE MOLECULAR SIMILARITY FUNCTION : SUPERPOSITION OF TWO MOLECULES Journal of Computational Chemistry. ,vol. 18, pp. 826- 846 ,(1997) , 10.1002/(SICI)1096-987X(19970430)18:6<826::AID-JCC8>3.0.CO;2-U