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Correlation Energy Extrapolation by Many-Body Expansion.

Jeffery S Boschen1, Daniel Theis1, Klaus Ruedenberg1

  • 1Department of Chemistry and Ames Laboratory (USDOE), Iowa State University , Ames, Iowa 50011, United States.

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Summary
This summary is machine-generated.

A new method, correlation energy extrapolation by many-body expansion (CEEMBE), approximates computationally expensive full configuration interaction (CI) calculations. CEEMBE achieves high accuracy for molecular energies with significantly reduced computational cost.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Theoretical chemistry

Background:

  • Accurate molecular energy calculations require accounting for electron correlation.
  • Full configuration interaction (CI) provides high accuracy but is computationally prohibitive for most systems.

Purpose of the Study:

  • To develop a computationally efficient method to approximate configuration interaction (CI) calculations.
  • To reduce the computational expense and memory requirements of high-accuracy electronic structure calculations.

Main Methods:

  • Introduced a novel methodology: correlation energy extrapolation by many-body expansion (CEEMBE).
  • CEEMBE combines a many-body expansion (MBE) approximation of CI energy with extrapolated corrections from subset CI calculations.
  • The extrapolation technique is inspired by correlation energy extrapolation by intrinsic scaling.

Main Results:

  • Benchmark calculations on diatomic fluorine and ozone were performed.
  • The CEEMBE method consistently achieved agreement with full CI calculations within a few mhartree.
  • Often, agreement with full CI was within approximately 1 millihartree, with substantially lower computational resource demands.

Conclusions:

  • CEEMBE offers a practical and accurate approach to approximate CI calculations.
  • The method significantly reduces computational cost and memory requirements for accurate molecular energy computations.
  • This advancement makes high-accuracy correlated electronic structure calculations more accessible for larger chemical systems.