Electron capture by finite-size polarizable molecules and clusters.

Area of Science:

• Atomic and Molecular Physics
• Quantum Chemistry
• Chemical Physics

Background:

• Electron capture processes are fundamental in molecular physics and chemistry.
• Existing models often assume zero-size targets, limiting applicability to complex systems.
• Isotropically polarizable molecules and clusters present unique challenges for theoretical modeling.

Purpose of the Study:

• To investigate the impact of finite molecular target size on electron capture probabilities.
• To extend the generalized Vogt-Wannier model to incorporate finite target dimensions.
• To analyze the transition from quantum to classical behavior in electron capture processes.

Main Methods:

• Utilizing a generalized Vogt-Wannier model.
• Modifying existing expressions for partial-wave selected capture probabilities.
• Analyzing electron capture by isotropically polarizable molecules and clusters.

Main Results:

• Developed a method to account for finite target sizes in electron capture calculations.
• Demonstrated the modification of zero-size target capture probability expressions.
• Illustrated the transition from quantum to classical, and single- to all-wave behavior.

Conclusions:

• Finite target size is a crucial factor in electron capture phenomena.
• The generalized Vogt-Wannier model provides a framework for incorporating target size effects.
• Understanding these effects is vital for accurate predictions of electron-molecule interactions.