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Overset-Grid Method with Smooth Orbital Partitioning for Molecular Scattering Calculations.

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This study introduces an improved overset-grid algorithm for molecular photoionization and electron scattering. The new method significantly reduces computational cost while maintaining accuracy in complex molecular systems.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Atomic and Molecular Physics

Background:

  • Solving molecular photoionization and electron scattering requires accurate representation of electronic continuum functions.
  • Previous overset-grid methods faced limitations in computational efficiency.

Purpose of the Study:

  • To present an improved algorithm for molecular photoionization and electron scattering using an overset-grid representation.
  • To enhance the efficiency and convergence of computational methods for these problems.

Main Methods:

  • Utilized an overset-grid representation with an extended central spherical grid overlapping atomic subgrids.
  • Developed a smooth partitioning algorithm for the total wave function between grids.
  • Implemented the complex Kohn variational principle for scattering and photoionization amplitudes.

Main Results:

  • Achieved a fourfold reduction in partial waves on the central grid compared to previous methods.
  • Demonstrated faster convergence with respect to the number of central grid partial waves.
  • Verified accuracy through comparisons with previous implementations and computationally intensive methods.

Conclusions:

  • The improved algorithm combines the accuracy of grid methods with the rapid convergence of hybrid approaches.
  • This method offers a more efficient and flexible approach for electron-molecule scattering and photoionization calculations.
  • Successfully applied to systems like Ne2, CF4, and pyridine.