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Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
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Shape and energy consistent pseudopotentials for correlated electron systems.

J R Trail1, R J Needs1

  • 1Theory of Condensed Matter Group, Cavendish Laboratory, J J Thomson Avenue, Cambridge CB3 0HE, United Kingdom.

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|June 3, 2017
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Summary
This summary is machine-generated.

New energy consistent correlated electron pseudopotentials (eCEPPs) improve accuracy in correlated-electron calculations. These pseudopotentials offer significantly better optimized geometries and dissociation energies for molecules compared to previous methods.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Electronic Structure Theory

Background:

  • Pseudopotentials are crucial for simplifying correlated-electron calculations.
  • Existing pseudopotential methods often introduce significant errors.
  • The need for accurate and computationally efficient pseudopotentials is persistent in electronic structure research.

Purpose of the Study:

  • To develop a novel method for generating energy consistent correlated electron pseudopotentials (eCEPPs).
  • To combine shape and energy consistency paradigms for improved pseudopotential accuracy.
  • To construct and validate eCEPPs for a range of atomic elements.

Main Methods:

  • Developed a method combining shape and energy consistency for pseudopotential generation.
  • Defined consistency in terms of correlated-electron wave-functions.
  • Constructed eCEPPs for H, Li-F, Sc-Fe, and Cu.
  • Validated accuracy using coupled cluster singles, doubles, and triples (CCSD(T)) calculations.
  • Optimized Gaussian basis sets for use with the new pseudopotentials.

Main Results:

  • eCEPPs demonstrate significant improvements in optimized molecular geometries.
  • Dissociation energies calculated with eCEPPs show an order-of-magnitude reduction in error compared to Hartree-Fock-based pseudopotentials.
  • The accuracy of eCEPPs was validated against all-electron results.
  • Errors inherent in eCEPPs were analyzed and compared to common pseudopotential approximations.

Conclusions:

  • The developed eCEPPs represent a substantial advancement for accurate correlated-electron calculations.
  • These pseudopotentials offer superior performance for molecular geometry optimization and dissociation energy calculations.
  • eCEPPs provide a more reliable and accurate alternative to existing pseudopotential methods in computational chemistry.