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Multireference Coupled-Cluster Approach to Spectroscopic Constants: Molecular Geometries and Harmonic Frequencies

  • Chapter
Applied Many-Body Methods in Spectroscopy and Electronic Structure

Abstract

The coupled-cluster (CC) method,1–4 originally designed for closed-shell systems, has been extended to include open-shell systems, which cannot be described adequately by a single determinant.5–22 The basic approach of the multireference method is to define an effective Hamiltonian in a low-dimensional model (or P) space, with eigenvalues approximating some desirable eigenvalues of the physical Hamiltonian. The effect of the complementary Q space is taken into account in the calculation of the effective Hamiltonian matrix elements, using an appropriate truncation of the wave operator. Two different approaches are commonly used. Most applications to date follow the state-universal or Fock space approach, with simultaneous calculation of many states having different numbers of valence electrons. The state-specific or Hilbert space method, on the other hand, treats a manifold of states with a constant number of valence electrons. The selection of the model space plays a crucial role in both methods. Intruder states, which spoil the convergence of the calculation, occur frequently. Careful construction of the model space may alleviate the problem. In particular, so-called incomplete model spaces are useful in many cases.

Supported in part by the U.S.-Israel Binational Science Foundation.

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  1. School of Chemistry, Tel Aviv University, 69 978, Tel Aviv, Israel

    Uzi Kaldor

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  1. Indian Association for the Cultivation of Science, Calcutta, India

    Debashis Mukherjee

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Kaldor, U. (1992). Multireference Coupled-Cluster Approach to Spectroscopic Constants: Molecular Geometries and Harmonic Frequencies. In: Mukherjee, D. (eds) Applied Many-Body Methods in Spectroscopy and Electronic Structure. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9256-0_8

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