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THE SCHWINGER VARIATIONAL PRINCIPLE APPLIED TO MOLECULAR PHOTOIONIZATION

Posted on:1986-06-18Degree:Ph.DType:Dissertation
University:California Institute of TechnologyCandidate:SMITH, MAILE ELIZABETHFull Text:PDF
GTID:1470390017960041Subject:Chemistry
Abstract/Summary:
We have developed a method based upon the Schwinger Variational Principle to study molecular photoionization and electron molecule scattering. We obtain exact static-exchange solutions to the equations for the continuum orbitals within the Hartree-Fock approximation, and from these we derive cross sections and angular distributions for both of the above processes. We have applied this method to photoionization of the valence levels of three different systems.;Vibrationally resolved branching ratios and vibrational state-specific asymmetry parameters for photoinoization of the 5(sigma) level of CO are presented. The agreement between these results and the measured data was obscured by autoionization peaks superimposed upon the region of the spectrum in which the experiment was performed. The limited experimental data which are not obscured by autoionization, agree quite well with our results.;Finally, a study of the photoionization of the 5(sigma) level of CO adsorbed on a nickel surface is reported. Approximating this system by the linear triatomic molecule NiCO leads to cross sections and angular distributions which are in good agreement with experimental data. The use of polarized, highly tunable synchrotron radiation along with detection at various angles yields far more information than can be obtained from the photoionization of the same molecule in the gas phase. With this technique it is possible to determine the adsorbate geometry, resolve partial channels, and resolve the photoemission from two degenerate orbitals of different symmetries, simply by making appropriate choice of the polarization and collection angles. Examples of these techniques are discussed.;The first application of this method is a study of the photoionization of the valence levels of NO. For photoionization of the 5(sigma) level we find that the magnitudes of the cross sections for the resulting b('3)(PI) and A('1)(PI) states of NO('+) are not in the statistical 3:1 ratio and that the position of the peaks in the shape resonances appear at significantly different photoelectron kinetic energies. The differences are a reflection of the sensitivity of the shape resonances to small changes in the exchange component of the molecular ion potential. We also examined photoionization of the 2(pi) and 4(sigma) levels of NO and found that these levels, along with the 5(sigma), exhibit shape resonances in the (sigma) continuum.
Keywords/Search Tags:Photoionization, Molecular, Shape resonances, Sigma, Levels
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