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Implementation of the diagonalization‐free algorithm in the self‐consistent field procedure within the four‐component relativistic scheme
Authors:Marcela Hrdá  Tomáš Kulich  Michal Repiský  Jozef Noga  Olga L. Malkina  Vladimir G. Malkin
Affiliation:1. Department of Theoretical Chemistry, Institute of Inorganic Chemistry, Slovak Academy of Sciences, Bratislava, Slovakia;2. Department of Computer Science, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia;3. Department of Chemistry, The Centre for Theoretical and Computational Chemistry (CTCC), UiT, The Arctic University of Norway, Troms?, Norway;4. Department of Inorganic Chemistry, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia;5. Computing Centre, Slovak Academy of Sciences, Bratislava, Slovakia
Abstract:A recently developed Thouless‐expansion‐based diagonalization‐free approach for improving the efficiency of self‐consistent field (SCF) methods (Noga and ?imunek, J. Chem. Theory Comput. 2010, 6, 2706) has been adapted to the four‐component relativistic scheme and implemented within the program package ReSpect. In addition to the implementation, the method has been thoroughly analyzed, particularly with respect to cases for which it is difficult or computationally expensive to find a good initial guess. Based on this analysis, several modifications of the original algorithm, refining its stability and efficiency, are proposed. To demonstrate the robustness and efficiency of the improved algorithm, we present the results of four‐component diagonalization‐free SCF calculations on several heavy‐metal complexes, the largest of which contains more than 80 atoms (about 6000 4‐spinor basis functions). The diagonalization‐free procedure is about twice as fast as the corresponding diagonalization. © 2014 Wiley Periodicals, Inc.
Keywords:diagonalization‐free  SCF  computational efficiency  relativistic effects  four‐component
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