Calculation of electron slowing down spectra--I. Hard sphere cross sections

Area of Science:

• Atomic and Molecular Physics
• Radiation Physics

Background:

• Electron slowing down spectra are crucial for understanding radiation transport.
• Electron binding effects influence low-energy electron behavior.
• Previous calculations often show discrepancies with experimental measurements.

Purpose of the Study:

• To evaluate the utility of hard sphere cross sections for electron slowing down calculations.
• To assess the quantitative accuracy of the hard sphere approximation in modeling electron binding.

Main Methods:

• Utilizing hard sphere cross sections to approximate electron binding.
• Calculating electron slowing down spectra based on this approximation.
• Comparing calculation results with experimental data.

Main Results:

• Hard sphere cross sections qualitatively improve flux predictions at low energies near binding energies.
• This approximation reduces, but does not eliminate, discrepancies with previous calculations.
• Quantitative comparisons reveal significant inadequacy of the hard sphere model.

Conclusions:

• While offering a simple first approximation, hard sphere cross sections are quantitatively insufficient for accurate electron slowing down spectra.
• Further refinement of cross-section models is necessary for precise electron transport calculations.