Differential cross sections for the electron-impact ionization of molecular hydrogen in the distorted-wave Born approximation

Journal Article · Mon Feb 15 04:00:00 EST 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.37.1176· OSTI ID:5595650

Zurales, R W; Lucchese, R R

Differential cross sections for electron-impact ionization of molecular hydrogen are presented in the factorized first Born, fixed-nuclei, frozen-core Hartree-Fock approximation. The wave function of the ejected electron is described by a Coulomb wave distorted by the static-exchange potential of the frozen ionic core. Transition matrix elements are evaluated in both the length and velocity forms using Pade-approximant corrections to initial estimates based on the Schwinger variational principle. For high-energy incident electrons, the length form is in excellent agreement with experimental Compton defects but the magnitude of the doubly differential cross section is too large. The magnitude of the doubly differential cross section in the velocity form is generally in good agreement with experiment; however, the maxima occur at energy losses which are too large, particularly for small linear-momentum transfers. Results of calculations of the triply differential cross section are also presented. The agreement with experiment is only fair for 250-eV incident electrons because of the breakdown of the first Born approximation.

• Research Organization: Department of Chemistry, Texas AandM University, College Station, Texas 77843-3255
• OSTI ID: 5595650
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 37:4; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
BORN APPROXIMATION
COLLISIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DWBA
ELECTRON COLLISIONS
ELECTRON-MOLECULE COLLISIONS
ELEMENTS
HARTREE-FOCK METHOD
HYDROGEN
IONIZATION
MATRIX ELEMENTS
MOLECULE COLLISIONS
NONMETALS
SCHWINGER VARIATIONAL METHOD
VARIATIONAL METHODS