MONTE CARLO CALCULATIONS OF CROSS SECTIONS OF ELECTRON-POSITIVE MOLECULAR ION DISSOCIATIVE RECOMBINATION.

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1965
Accession Number
AD0478360

Entities

People

  • Roger L. Wilkins

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Agreements
  • Coefficients
  • Collecting Methods
  • Electron Capture
  • Electrons
  • Elements
  • Hydrogen
  • Ions
  • Monte Carlo Method
  • Perturbation Theory
  • Perturbations
  • Protons
  • Sampling

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electrochemical Engineering/ Fuel Cell Technologies
  • Regression Analysis.

Technology Areas

  • Microelectronics