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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Chemical Physics

Background:

  • Noncovalent interactions (NCIs) are crucial in chemistry and biology.
  • Reduced electron density gradient (RDG) is a common method for visualizing NCIs.
  • Existing RDG methods may lack a unified theoretical foundation.

Purpose of the Study:

  • To investigate various formulations of the reduced electron density gradient (RDG) for describing noncovalent interactions (NCIs).
  • To assess the consistency and validity of different RDG approaches in NCI analysis.
  • To explore the theoretical underpinnings connecting RDG with the nature of NCIs.

Main Methods:

  • Interpreting RDG as a local moment function.
  • Systematically applying Weizacker's and Fermi's local moments to RDG.
  • Deriving an RDG formulation from Lagrangian kinetic energy density.

Main Results:

  • Achieved high-fidelity RDG representations that align with NCI analysis.
  • Demonstrated that the RDG derived from Lagrangian kinetic energy density is conveniently normalized.
  • Showed that multiple RDG formulations appear valid for NCI analysis.

Conclusions:

  • The study suggests that no single RDG formulation is uniquely superior for NCI analysis.
  • Emphasizes the necessity of a thorough examination of the theoretical connections between RDG and NCIs.
  • Calls for further research into the fundamental relationship between RDG and noncovalent interactions.