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Ab initio calculation of inelastic scattering.

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This study presents a new computational method for calculating scattering cross sections in atoms and molecules. The approach accurately predicts electronic transitions using ab initio wavefunctions, aiding in the analysis of scattering experiments.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Chemistry
  • Computational Physics

Background:

  • Calculating scattering cross sections is crucial for understanding atomic and molecular interactions.
  • Existing methods may lack accuracy or efficiency for complex systems.

Purpose of the Study:

  • To develop an accurate and efficient computational method for nonresonant inelastic electron and X-ray scattering cross sections.
  • To enable direct calculation from ab initio electronic wavefunctions for bound-to-bound transitions.

Main Methods:

  • Utilizes analytical integrals of Gaussian-type functions over the scattering operator.
  • Calculations performed directly from ab initio electronic wavefunctions.
  • Applies to atoms and molecules, considering inner-shell and valence transitions.

Main Results:

  • Accurate and efficient calculation of scattering cross sections achieved.
  • Validated against analytical results for H and He+.
  • Successfully compared with experimental and theoretical data for He, Ne, C, Na, and N2.

Conclusions:

  • The developed method provides accurate scattering cross sections for diverse atomic and molecular systems.
  • Suitable for integration with quantum molecular dynamics simulations.
  • Valuable for interpreting ultrafast X-ray scattering experiments.