Monte Carlo Calculations Of Cross Sections Of Electron Positive Molecular Ion Dissociative Recombination

In a recent paper, Bauer and Wu proposed a self-consistent model for the application of perturbation theory to calculating the general order of magnitude of cross sections of electron-positive molecular ion dissociative recombination. In applying their model to the calculation on a hypothetical system of electron capture by molecular hydrogen ions, it was necessary to make several approximations, without which it would have been exceedingly difficult to evaluate certain matrix elements. It is shown that Monte Carlo methods can be used for evaluating these matrix elements without restoring to approximations other than the model itself. The Monte Carlo method of stratified sampling has been tested successfully on the capture of electrons by molecular hydrogen ions. The dissociative recombination coefficient is found to be of the order of 3 x 10 to the -8th power cu cm/sec at room temperature, which is in agreement with reported experimental results. (Author).

A bibliography of low energy electron collision cross section data is prese * nted.Only references which report original measurements or calculations of electron collision cross sections are included.The cross section data for each process are listed by atomic species in order of their atomic number.The data for molecules are listed in arbitrary order. (Author).