Electron-molecule scattering and molecular photoionization using the multiple-scattering method

We adapt the multiple‐scattering method to treat unbound electronic states of molecules in the independent electron approximation. An inhomogeneous linear system is derived whose solution yields the K matrix for the electron‐molecule interaction. Using the K matrix, we derive continuum electronic wavefunctions by imposing boundary conditions corresponding to electron‐molecule scattering and molecular photoionization, i.e., the wavefunctions satisfy the so‐called outgoing‐wave and incoming‐wave normalization, respectively. These wavefunctions are then used to obtain expressions for elastic scattering and photoionization differential cross sections.

[1]  D. Dill,et al.  Photoelectron angular distributions as a probe of anisotropic electron-ion interactions , 1974 .

[2]  J. Morgan,et al.  Multiple scattering by non-muffin-tin potentials: general formulation , 1974 .

[3]  C. M. Lee,et al.  Variational Calculation of R Matrices. Application to Ar Photoabsorption , 1973 .

[4]  N. Rösch,et al.  On the use of overllapping spheres in the SCF Xα scattered-wave method , 1973 .

[5]  D. Pettifor Generalized scattering model for the hydrogen molecular ion , 1973 .

[6]  D. Dill Resonances in Photoelectron Angular Distributions , 1973 .

[7]  J. B. Diamond Symmetry and the scattered-wave model , 1973 .

[8]  U. Fano,et al.  Parity Unfavoredness and the Distribution of Photofragments , 1972 .

[9]  N. Chandra,et al.  Electron-molecule interactions. III. A pseudo-potential method for e--N2 scattering , 1972 .

[10]  E. S. Chang,et al.  Theory of Electron-Molecule Collisions by Frame Transformations , 1972 .

[11]  R. Berry,et al.  Photoionization and Autoionization of H2 , 1972 .

[12]  U. Scherz Green's‐Function Method with ``Non‐muffin‐tin'' Potentials for Molecules and Clusters , 1972 .

[13]  R. Berry,et al.  DYNAMIC COUPLING PHENOMENA IN MOLECULAR EXCITED STATES. III. ASSOCIATIVE IONIZATION AND DISSOCIATIVE RECOMBINATION IN H . , 1971 .

[14]  H. Tuckwell On the validity of the Franck-Condon factor approximation for photo-ionizing transitions of O2(Σ3g−) , 1970 .

[15]  F. C. Farnoux Photoionisation des atomes lourds : étude théorique dans un modèle non relativiste à potentiel central , 1969 .

[16]  S. Khare Photo-Ionization of the Hydrogen Molecule , 1968 .

[17]  J. Cooper,et al.  Photo-Ionization in the Soft x-Ray Range: 1 Z Dependence in a Central-Potential Model , 1968 .

[18]  K. Takayanagi Scattering of Slow Electrons by Molecules , 1967 .

[19]  L. Lipsky,et al.  Multichannel photo-ionization of atomic systems. , 1967 .

[20]  M. Flannery The ground state of the hydrogen molecule , 1965 .

[21]  Michael Danos,et al.  Multipole Matrix Elements of the Translation Operator , 1965 .

[22]  A. Temkin RELATIVE PARTIAL WAVE THEORY OF DIATOMIC MOLECULES , 1963 .

[23]  M. Shimizu Two Centre Coulomb Potential Approximation , 1963 .

[24]  J. Cooper,et al.  Photoionization from Outer Atomic Subshells. A Model Study , 1962 .

[25]  M. E. Rose,et al.  Elementary Theory of Angular Momentum , 1957 .

[26]  P. Morse WAVES IN A LATTICE OF SPHERICAL SCATTERERS. , 1956, Proceedings of the National Academy of Sciences of the United States of America.

[27]  C. Yang,et al.  On the Angular Distribution in Nuclear Reactions and Coincidence Measurements , 1948 .

[28]  J. Fisk Theory of the Scattering of Slow Electrons by Diatomic Molecules , 1936 .

[29]  Hans Christian Stier Zur Deutung des Ramsauereffektes bei symmetrischen, zweiatomigen Molekülen , 1932 .

[30]  Y. Itikawa Calculation of the cross sections for the photoionization of H2 and D2 into different vibrational states of the ion , 1973 .

[31]  Keith H. Johnson Scattered-Wave Theory of the Chemical Bond , 1973 .

[32]  A. Gal,et al.  Scattering from non-overlapping potentials. I. General formulation , 1973 .

[33]  W. Veigele,et al.  LOW-ENERGY PHOTOIONIZATION. , 1972 .

[34]  U. Fano,et al.  ANGULAR MOMENTUM TRANSFER IN THE THEORY OF ANGULAR DISTRIBUTIONS. , 1972 .

[35]  E. J. Mcguire,et al.  Photo-Ionization Cross Sections of the Elements Helium to Xenon , 1968 .

[36]  A. Messiah Quantum Mechanics , 1961 .

[37]  H. Bethe,et al.  Quantum Mechanics of One- and Two-Electron Atoms , 1957 .

[38]  N. F. Mott,et al.  The theory of atomic collisions , 1949 .