Unique information about the motion and correlation of valence electrons in atoms, molecules and their ions is obtained from electron-impact ionization reactions near the Bethe ridge at total energies of the order of 10oO eV or higher. This is electron momentum spectroscopy. The history, theory and practice of the field are discussed and its value is shown by numerous examples.
Weigold, Erich. Electron momentum spectroscopy / Erich Weigold and lan E. McCarthy. p. cm. --(Physics of atoms and molecules) Includes bibliographical references and index.
Wavefunction mapping, in terms of the independent-particle representation of a manybody system in momentum space, is effected by reactions in which a particle is removed from the target system and the momenta of all the external particles are measured. Under certain conditions the recoil momentum is essentially the momentum of the knocked-out particle in its bound state. The (e, 2e) reaction is reviewed for atoms and molecules. Its relevance to solids is discussed and examples are given of other reactions that illuminate one-electron band theory. The (p, 2p), (p, pn), (e, e'p), ( 7 , p) and (p, p a ) reactions are reviewed for nuclei.
Momentum Distributions (MDs), obtained using high-resolution electron momentum spectroscopy (HREMS),
are reported for norbornadiene's 18 valence orbitals. Corresponding theoretical results, using generalized
gradient approximation density functional theory (DFT) together with TZVP, DZVP, and DZVP2 basis
functions and a plane wave impulse approximation to describe the ionization process, are also detailed. This
work represents the first comprehensive HREMS/DFT investigation into the complete valence electronic
structure of norbornadiene (NBD), with significant results being obtained. In particular, an exacting comparison
between our experimental and theoretical MDs enables us to define the “optimum” basis for NBD, from
those we studied. This “optimum” basis is then used to extract a wide range of NBD's important molecular
property information, which are subsequently compared with the results of independent measurements and
calculations. Agreement between our results and those from independent measurements was generally very
good, highlighting the utility of HREMS in a priori basis set evaluation.
A study of the electronic structure of the complete valence shell of cubane is reported. Results from our many-body Green's function calculation, to the third-order algebraic diagrammatic construction (ADC(3)) level, for the binding energies and spectroscopic factors of the respective valence orbitals of cubane are presented. Binding-energy spectra were measured in the energy regime 6-35 eV over a range of different target electron momenta, so that momentum distributions (MDs) could be determined for each orbital. The corresponding theoretical MDs were calculated using a plane wave impulse approximation (PWIA) model for the reaction mechanism and density functional theory (DFT) for the wave function. Seven basis sets, at the local density approximation (LDA) level and, additionally, incorporating nonlocal correlation functional corrections, were studied. The sensitivity of the level of agreement between the experimental and theoretical MDs to the nonlocal corrections is considered. A critical comparison between the experimental and theoretical MDs allows us to determine the "optimum" wave function for cubane from the basis sets we studied. This wave function is then used to derive cubane's chemically interesting molecular properties. A summary of these results and a comparison of them with those of other workers is presented with the level of agreement typically being good.
This book is a comprehensive introduction to electron-atom collisions, covering both theory and experiment. The interaction of electrons with atoms is the field that most deeply probes both the structure and reaction dynamics of a many-body system. The book begins with a short account of experimental techniques of cross-section measurement. It then introduces the essential quantum mechanics background needed. The following chapters cover one-electron problems (from the classic particle in a box to a relativistic electron in a central potential), the theory of atomic bound states, formal scattering theory, calculation of scattering amplitudes, spin-independent and spin-dependent scattering observables, ionisation and electron momentum spectroscopy. The connections between experimental and theoretical developments are emphasised throughout.
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