Size-consistent self-consistent configuration interaction from a complete active space : Excited states

The self-consistent size consistent on a complete active space singly and doubly configuration interaction (SC)2CAS-SDCI method is applied to excited states. The (SC)2 correction is performed on a closed shell state, and the excited states are obtained by diagonalization of the dressed matrix. A theoretical justification of the transferability of the improvement concerning the dressing state to all roots of the matrix is presented. The method is tested by three tests on the spectrum of small [email protected] ; [email protected]

Self‐consistent intermediate Hamiltonians : A coupled cluster type formulation of the singles and doubles configuration interaction matrix dressing

This paper presents a new self‐consistent dressing of a singles and doubles configuration interaction matrix which insures size‐consistency, separability into closed‐shell subsystems if localized molecular orbitals (MOs) are used, and which includes all fourth order corrections. This method yields, among several schemes, a reformulation of the coupled cluster method, including fully the cluster operators of single and double excitations, and partially those of the triples (Bartlett’s algorithm named CCSDT‐1a). Further improvement can be easily included by adding exclusion principle violating corrections. Since it leads to a matrix diagonalization, the method behaves correctly in case of near degeneracies between the reference determinant and some doubles. Due to its flexibility this formulation offers the possibility of consistent combination with less expensive treatments for the study of very large [email protected] ; [email protected]

Local character of magnetic coupling in ionic solids

Magnetic interactions in ionic solids are studied using parameter-free methods designed to provide accurate energy differences associated with quantum states defining the Heisenberg constant J. For a series of ionic solids including KNiF3, K2NiF4, KCuF3, K2CuF4, and high- Tc parent compound La2CuO4, the J experimental value is quantitatively reproduced. This result has fundamental implications because J values have been calculated from a finite cluster model whereas experiments refer to infinite solids. The present study permits us to firmly establish that in these wide-gap insulators, J is determined from strongly local electronic interactions involving two magnetic centers only thus providing an ab initio support to commonly used model Hamiltonians

Variational Hilbert space truncation approach to quantum Heisenberg antiferromagnets on frustrated clusters

We study the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on a series of finite-size clusters with features inspired by the fullerenes. Frustration due to the presence of pentagonal rings makes such structures challenging in the context of quantum Monte-Carlo methods. We use an exact diagonalization approach combined with a truncation method in which only the most important basis states of the Hilbert space are retained. We describe an efficient variational method for finding an optimal truncation of a given size which minimizes the error in the ground state energy. Ground state energies and spin-spin correlations are obtained for clusters with up to thirty-two sites without the need to restrict the symmetry of the structures. The results are compared to full-space calculations and to unfrustrated structures based on the honeycomb lattice.Comment: 22 pages and 12 Postscript figure

Direct generation of local orbitals for multireference treatment and subsequent uses for the calculation of the correlation energy

We present a method that uses the one-particle density matrix to generate directly localized orbitals dedicated to multireference wave functions. On one hand, it is shown that the definition of local orbitals making possible physically justified truncations of the CAS ~complete active space! is particularly adequate for the treatment of multireference problems. On the other hand, as it will be shown in the case of bond breaking, the control of the spatial location of the active orbitals may permit description of the desired physics with a smaller number of active orbitals than when starting from canonical molecular orbitals. The subsequent calculation of the dynamical correlation energy can be achieved with a lower computational effort either due to this reduction of the active space, or by truncation of the CAS to a shorter set of references. The ground- and excited-state energies are very close to the current complete active space self-consistent field ones and several examples of multireference singles and doubles calculations illustrate the interest of the procedur

Simplified treatment of organic substituents in SCF-CI calculations. The methyl group

The description of substituent groups, attached to an organic skeleton, by means of basis sets of lower quality with respect to the rest of the molecule, has been investigated and tested. Starting from a double‐zeta Gaussian basis, two successive reductions of the basis set dimensions have been envisaged: the first is simply a contraction to single zeta, the second consists in constructing ‘‘supercontracted’’ basis functions as linear combinations of AOs centered on different atoms of the same substituent group. An optimization of contraction and ‘‘supercontraction’’ coefficients at the molecular level leads to much better results for the energy and other molecular properties, in comparison with the common practice of using the contraction based on atomic calculations. An unbalanced description, potentially implied in using basis sets of different quality in the same calculation, is thus avoided. The example of the methyl group shows that the contraction coefficients determined for a neutral molecular environment (the ethane molecule) can be used in SCF‐CI calculations with different aims: for example, the study of the electronic excitation in acetone, of the protonation in amines, of radical and carbocation formation in alkanes

Contracted and supercontracted basis sets in the theoretical treatment of coordination compounds: the cyclopentadienyl anion and ferrocene

In this paper we apply a technique, recently proposed for organic substituents, to the cyclopentadienyl anion. The technique allows us to reduce the size of the basis set without seriously affecting the quality of the ab initio calculations. This is illustrated by the determination of the Fe-ring distance in ferrocene, which is known to require a high level ab initio treatment including electron correlation