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An efficient internally contracted multiconfiguration-reference configuration interaction method

, and . J. Chem. Phys., 89 (9): 5803–5814 (1988)
DOI: 10.1063/1.455556

Abstract

A new internally contracted direct multiconfiguration-reference configuration interaction (MRCI) method is described which allows the use of much larger reference spaces than any previous MRCI method. The configurations with two electrons in the external orbital space are generated by applying pair excitation operators to the reference wave function as a whole, while the singly external and internal configurations are standard un contracted spin eigenfunctions. A new efficient and simple method for the calculation of the coupling coefficients is used, which is well suited for vector machines, and allows the recalculation of all coupling coefficients each time they are needed. The vector H·c is computed partly in a nonorthogonal configuration basis. In order to test the accuracy of the internally contracted wave functions, benchmark calculations have been performed for F-, H₂ 0, NHz, CH₂, CH₃, OH, NO, N₂, and 0z at various geometries. The deviations of the energies obtained with internally contracted and un contracted MRCI wave functions are mostly smaller than 1 mH and typically 3-5 times smaller than the deviations between the uncontracted MRCI and the full CI. Dipole moments, electric dipole polarizabilities, and electronic dipole transition moments calculated with un contracted and contracted MRCI wave functions also are found to be in close agreement. The efficiency of the method is demonstrated in large scale calculations for the CN, NH₃, CO₂ , and Cr2 molecules. In these calculations up to 3088 reference configurations and up to 154 orbitals were employed. The biggest calculation is equivalent to an uncontracted MRCI with more than 78 million configurations.

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