Iterative partial equalization of orbital electronegativity – a rapid access to atomic charges

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 uncontracted 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−, H2O, NH2, CH2, CH3, OH, NO, N2, and O2 at various geometries. The deviations of the energies obtained with internally contracted and uncontracted 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 uncontracted 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.

An efficient internally contracted multiconfiguration–reference configuration interaction method

A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach

The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices

Convergence acceleration of iterative sequences. the case of scf iteration

A new method for large-scale Cl calculations

Gaussian basis sets consisting for first row atoms of 7 s-type and 3 p-type and for second row atoms of 10 s-type and 6 p-type functions with optimized exponents are reported. These basis sets consists of at least two functions per atomic orbital.

Gaussian basis sets for the first and second row atoms

A series of MO-SCF calculations, using a basis of Gaussian type functions, has been made in order to study the importance and size of polarization functions for first and second row atoms. Optimizations of polarization exponents have been performed for the molecules H2O and H2S. Conclusions from these results lead to a suggestion for the choice of 3d-orbital exponents also for other atoms of the first and second row. Test calculations have been made for carbon and nitrogen in CH4 and NH3.

Polarization Functions for First and Second Row Atoms in Gaussian Type MO-SCF Calculations

Previous single-determinant Hartree-Fock studies on the equilibrium structures and stabilities of H2 O, H3 O+ as well as of the monohydrated ionic systems Li+ · H2O, F− · H2O and the hydrogen bonded water dimer, H2 O · HOH, are extended by large scale configuration interaction calculations including all the possible single and double excitations arising from the canonical set of Hartree-Fock molecular orbitals. The correlation energy effects on the equilibrium geometrical parameters of the systems under consideration are found to be quite small. The contributions of the correlation energy to the total binding energies of the weakly interacting composed systems are obtained to be of the order of 1 kcal/mole, leading to a considerable increase of the hydrogen bond strength in F− · H2O and H2O · HOH and to a small decrease of the binding energy in Li+ · H2 O. The observed strengthening of the hydrogen bonding interaction due to correlation is shown to be partly compensated by the change in the vibrational zero-point energy of the composed systems compared to the non-interacting subsystems. Approximate force constants corresponding to the intersystem vibrations in Li+ · H2O, F− · H2 O, and H2O · HOH are deduced from the calculated potential curve data on the SCF and the CI level of accuracy.

SCF-CI studies of correlation effects on hydrogen bonding and ion hydration

A Gaussian basis set consisting of 12s-type, 6p-type and 4d-type functions has been optimized for the third row atoms, together with a 9s, 5p, 3d set for the corresponding dipositive ion. The applicability of these atomic sets for molecular calculation is discussed.

B. Roos

Papers

A new method for large-scale Cl calculations

Gaussian basis sets for the first and second row atoms

Polarization Functions for First and Second Row Atoms in Gaussian Type MO-SCF Calculations

SCF-CI studies of correlation effects on hydrogen bonding and ion hydration

Gaussian basis sets for molecular wavefunctions containing third-row atoms