Example: electron-impact excitation of dipole-allowed transitions in molecules

Electron-impact excitations of dipole-allowed transitions in molecules play important role in the physics of low-temperature plasma. The cross section of this process can be calculated in the frame of similarity function approach with the use of quantum-chemical data on the transition dipole moment as a function of inter-nuclear distance. This enables one to take into account nuclear vibrations. Similarity function is chosen to satisfy necessary threshold and high-energy conditions. Threshold cross section behavior is defined by general quantum-mechanical laws and the high-energy limiting case is determined by Born expression for cross section. Parameters of similarity function are defined via comparison with available experimental data.

The results of such calculations are presented in the following figure along with the experimental data and other theoretical results:

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