DeepCSNet: a deep learning method for predicting electron-impact doubly differential ionization cross sections

Electron-impact ionization cross sections of atoms and molecules are essential for plasma modeling. However, experimentally determining the absolute cross sections is not easy, and ab initio calculations become computationally prohibitive as molecular complexity increases. Existing artificial intelligence -based prediction methods suffer from limited data availability and poor generalization. To address these issues, we propose Deep Cross Section Network (DeepCSNet), a deep learning approach designed to predict electron-impact ionization cross sections using limited training data. We present two configurations of DeepCSNet: one tailored for specific molecules and another for various molecules. Both configurations can typically achieve a relative L2 error less than 5%. The present numerical results, focusing on electron-impact doubly differential ionization cross sections, demonstrate DeepCSNet's generalization ability, predicting cross sections across a wide range of energies and incident angles. Additionally, DeepCSNet shows promising results in predicting cross sections for molecules not included in the training set, even large molecules with more than 10 constituent atoms, highlighting its potential for practical applications.