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Related Experiment Videos

Coupled-cluster singles and doubles for extended systems.

So Hirata1, Rafał Podeszwa, Motoi Tobita

  • 1William R. Wiley Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99352, USA. so.hirata@pnl.gov

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

Coupled-cluster theory methods were adapted for 1D polymers, revealing how electron correlation affects polymer properties. Different polymers show distinct correlation behaviors, impacting electronic structure and energy calculations.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Accurate electronic structure calculations are crucial for understanding polymer properties.
  • Coupled-cluster theory (CC) provides high accuracy but is computationally intensive, especially for extended systems.
  • Developing efficient CC methods for one-dimensional (1D) polymers is essential for materials design.

Purpose of the Study:

  • To formulate and implement coupled-cluster theory approximations for 1D polymers.
  • To investigate the impact of electron correlation on the electronic structure and properties of polymers.
  • To analyze the convergence and basis set dependence of these calculations.

Main Methods:

  • Application of coupled-cluster theory with single and double excitation operators (CCSD) and related methods.

Related Experiment Videos

  • Utilized periodic boundary conditions and distance-based screening for efficiency.
  • Calculated correlation energies, t1 and t2 amplitudes in atomic orbital (AO) and Bloch orbital bases.
  • Examined variation with lattice sum truncation radii and wave vector sampling.

    • Main Results:

    • Correlation energies vary with pi-electron conjugation and band gaps for polyethylene, polyacetylene, and polyyne.
    • AO-based t2 amplitudes decay slower for polyacetylene and polyyne (1/r3) compared to polyethylene.
    • AO-based t1 amplitudes show exponential decay for polyethylene and constant magnitude for polyacetylene/polyyne, indicating nondynamical correlation effects.
    • Unit cell contributions to correlation energies diminish rapidly, becoming negligible after 15 Å.

    Conclusions:

    • The implemented CC methods are effective for studying electron correlation in 1D polymers.
    • The decay behavior of amplitudes provides insights into the nature and extent of electron correlation.
    • Computational efficiency is achieved through optimized screening and basis set choices.