Journal ArticleDOI
Monte Carlo Calculations of Cross Sections of Electron—Positive‐Molecular‐Ion Dissociative Recombination
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In this article, the authors used the Monte Carlo method of stratified sampling to evaluate the dissociative recombination coefficient of positive-molecular-ion (mH ion) capture by molecular hydrogen ions.Abstract:
In a recent paper Bauer and Wu proposed a model which was self‐consistent for the application of perturbation theory to the problem of 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. We show here that Monte Carlo methods can be used for evaluating these matrix elements without resorting to approximations other than the model itself. The Monte Carlo method of stratified sampling has been tested successfully on the problem of capture of electrons by molecular hydrogen ions. The dissociative recombination coefficient is found to be of the order of 3×10−8 cm3/sec at room temperature, which is in excellent agreement with reported experimental results.read more
Citations
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Book
Dissociative Recombination of Molecular Ions
Mats Larsson,Ann E. Orel +1 more
TL;DR: In this paper, the H2+molecule, Diatomic hydride ions, and the H3+ molecule have been studied using experimental methods and theoretical methods.
Journal ArticleDOI
Resonant scattering of electrons by molecules
J N Bardsley,F Mandl +1 more
TL;DR: In this paper, the effect of resonances on electron-molecule and heavy particle collisions is considered, and a survey is given of experiments, and their theoretical analysis, on resonance phenomena in processes such as vibrational excitation and dissociative attachment of molecules by electron impact and electron detachment in atom-atom collisions.
Book ChapterDOI
Dissociative Recombination of Molecular Ions
TL;DR: The dissociative recombination of molecular ions with electrons plays a central role in the physics and chemistry of ionized systems and although simple in concept it displays an underlying complexity which has frustrated many attempts to obtain a clear understanding of its nature.
Journal ArticleDOI
Autoionizing states of the hydrogen molecule
C Bottcher,K Docken +1 more
TL;DR: In this paper, the energies and widths of a number of autoionizing states of the hydrogen molecule have been calculated using projection operator techniques with large configuration interaction wavefunctions.
Journal ArticleDOI
Collisions between electrons and H2+ ions. V. Measurements of cross sections for dissociative recombination
B Peart,K T Dolder +1 more
TL;DR: In this paper, a Bethe plot of the results rolls over in a way which suggests that the Bethe approximation will only be valid for this reaction for energies of at least several hundred eV.
References
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Book
Monte Carlo methods
TL;DR: The general nature of Monte Carlo methods can be found in this paper, where a short resume of statistical terms is given, including random, pseudorandom, and quasirandom numbers.
Journal ArticleDOI
Wave Functions of the Hydrogen Molecular Ion
TL;DR: In this paper, the 1s$\sigma \gg, 2s$ \g, 3d$\g, 4f$ \sigma ǫ, 2p$\pi \g), 3d€\g, 4f€ \g, 2p€ \pi \u, 4€ \u and 3d € \g$ \pi Ág, respectively.
Journal ArticleDOI
Limitations of the Microwave Cavity Method of Measuring Electron Densities in a Plasma
TL;DR: In this article, the limitations of the conventional microwave cavity method of measuring the electron density are derived. And the upper limit of the measured electron density, roughly 5\ifmmode\times\else\texttimes\fi{}${10}^{9}$ ${\mathrm{cm}}^{\ensuremath{-}3}$, is caused by plasma resonance due to the macroscopic polarization of the plasma and by the overlapping from higher order modes.