Additivity rule for electron-molecule total cross section calculations at 50-5000 eV: a new geometrical approach

作者：De Heng Shi^*; Jin Feng Sun; Zun Luee Zhu; Yu Fang Liu

来源：Chinese Physics B, 2008, 17(6): 2103-2109.

DOI：10.1088/1674-1056/17/6/027

• electron scattering
• total cross section
• additivity rule
• geometric shielding effect

Taking into consideration the changes of the geometric shielding effect in a molecule as the energy of incident electrons varies, this paper presents an empirical fraction, which depends on the energy of incident electrons, the target's molecular dimension and the atomic and electronic numbers in the molecule. Using this empirical fraction, it proposes a new formulation of the additivity rule. Employing the new additivity rule, it calculates the total cross sections of electron scattering by C(2)H(4), C(6)H(6), C(6)H(14) and C(8)H(18) over the energy range from 50 to 5000 eV. In order to exclude the calculation deviations caused by solving the radial Schrodinger equation of electron scattering by atoms, here the atomic cross sections are derived from the experimental total cross section results of simple molecules (H(2), 02, CO) via the inversion algorithm. The quantitative total cross sections are compared with those obtained by experiments and other theories, and good agreement is obtained over a wide energy range, even at energy of several tens of eV.

• 出版日期2008-6
• 单位河南师范大学