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A state-specific approach to multireference coupled electron-pair approximation like methods: development and

Sudip Chattopadhyay1, Dola Pahari, Debashis Mukherjee

  • 1Department of Physical Chemistry, Indian Association for the Cultivation of Science, Calcutta 700 032, India.

The Journal of Chemical Physics
|July 23, 2004
PubMed
Summary

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New state-specific coupled electron-pair approximations (SS-MRCEPA) accurately map potential energy surfaces, overcoming limitations of traditional multireference methods for complex molecular systems.

Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Traditional multireference (MR) coupled-cluster (CC) methods struggle with intruder states, limiting potential energy surface (PES) studies near curve crossings.
  • State-specific MR approaches, like state-specific MRCC (SS-MRCC), effectively address these limitations.

Purpose of the Study:

  • To introduce and explore a suite of physically motivated state-specific MR coupled electron-pair approximations (SS-MRCEPA) methods.
  • To develop accurate and robust methods for studying PES with varying multireference character, including regions with quasidegeneracy and curve crossings.

Main Methods:

  • Developed SS-MRCEPA theories based on complete active space, treating reference functions uniformly.
  • Self-consistently determined combining coefficients alongside cluster amplitudes.

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  • Ensured methods are size-extensive and size-consistent with localized orbitals.

    • Main Results:

    • SS-MRCEPA methods demonstrate robustness across various orbital rotation schemes, even with degenerate orbitals.
    • Numerical applications on challenging test cases (H4, H8, Be insertion, CH2) show comparable accuracy to SS-MRCC and FCI/large-scale CI methods.
    • The methods perform well across a wide range of geometries, even where traditional methods fail due to intruders.

    Conclusions:

    • The developed SS-MRCEPA methods offer a computationally efficient and accurate alternative for studying complex PES.
    • These methods successfully capture essential strengths of SS-MRCC without significant loss of accuracy, providing uniform precision for states with varying MR character.