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Beyond the MNDO model: Methodical considerations and numerical results
Author(s) -
Kolb Matthias,
Thiel Walter
Publication year - 1993
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/jcc.540140704
Subject(s) - mndo , orthogonalization , hamiltonian (control theory) , gaussian , slater integrals , parameterized complexity , basis function , valence (chemistry) , excited state , scaling , ab initio , diatomic molecule , chemistry , statistical physics , computational chemistry , physics , mathematics , quantum mechanics , geometry , molecule , combinatorics , mathematical optimization
It is suggested to improve the MNDO model by the explicit inclusion of valence‐shell orthogonalization corrections, penetration integrals, and effective core potentials (ECPs) in the one‐center part of the core Hamiltonian matrix. Guided by analytic formulas and numerical ab initio results, the orthogonalization corrections are expressed in terms of the resonance integrals that are represented by a new empirical parametric function. All two‐center Coulomb interactions and ECP integrals are evaluated analytically in a Gaussian basis followed by a uniform Klopman–Ohno scaling. One particular implementation of the proposed NDDO SCF approach is described and parameterized for the elements H, C, N, O, and F. In a statistical evaluation of ground‐state properties, this implementation shows slight but consistent improvements over MNDO, AM1, and PM3. Significant improvements are found for excited states, transition states, and strong hydrogen bonds. Possible further enhancements of the current implementation are discussed. © 1993 John Wiley & Sons, Inc.