Convergence of Breit-Pauli spin-orbit matrix elements with basis set size and configuration interaction space: The halogen atoms F, Cl, and Br.

Autor: Nicklass, Andreas, Peterson, Kirk A., Berning, Andreas, Werner, Hans-Joachim, Knowles, Peter J.
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Zdroj: Journal of Chemical Physics; 4/1/2000, Vol. 112 Issue 13, 3 Charts, 20 Graphs
Abstrakt: Systematic sequences of basis sets are used to calculate the spin-orbit splittings of the halogen atoms F, Cl, and Br in the framework of first-order perturbation theory with the Breit-Pauli operator and internally contracted configuration interaction wave functions. The effects of both higher angular momentum functions and the presence of tight functions are studied. By systematically converging the one-particle basis set, an unambiguous evaluation of the effects of correlating different numbers of electrons in the Cl treatment is carried out. Correlation of the 2p-electrons in chlorine increases the spin-orbit splitting by ∼80 cm-1, while in bromine we observe incremental increases of 130, 145, and 93 cm-1, when adding the 3d, 3p, and 2p electrons to the set of explicitly correlated electrons, respectively. For fluorine and chlorine the final basis set limit, all-electrons correlated results match the experimentally observed spin-orbit splittings to within ∼5 cm-1, while for bromine the Breit-Pauli operator underestimates the splitting by about 100 cm-1. More extensive treatment of electron correlation results in only a slight lowering of the spin-orbit matrix elements. Thus, the discrepancy for bromine is proposed to arise from the nonrelativistic character of the underlying wave function. © 2000 American Institute of Physics. [ABSTRACT FROM AUTHOR]
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