1. Application of the Equivalent Bond Orbital Model to the C2s-Ionization Energies of Saturated Hydrocarbons
- Author
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James D. Dill, Andreas Schmelzer, Edgar Heilbronner, and Gerhard Bieri
- Subjects
Series (mathematics) ,Chemistry ,Organic Chemistry ,Ab initio ,Biochemistry ,Catalysis ,Spectral line ,Inorganic Chemistry ,Matrix (mathematics) ,Atomic orbital ,Computational chemistry ,Drug Discovery ,Physical and Theoretical Chemistry ,Ionization energy ,Atomic physics ,Parametrization ,Vicinal - Abstract
It is shown that the ab initio STO-3G treatment applied to simple saturated linear, branched and cyclic hydrocarbons, assuming standard geometries, yields orbital energies ϵ for their canonical orbital φj which correlate perfectly with the observed C2s ionization energies I, if Koopmans' approximation is accepted. Applying the Foster-Boys localization procedure to these canonical orbitals φj leads to localized orbitals λμ and their corresponding Hartree-Fock matrix Fλ = (Fλ,μv). An examination of the matrix elements Fλ,μv, i.e. of the self-energies Aμ = Fλ,μμ of the localized CC- and CH-orbitals λμ and of the cross terms Fλ, μv (μ ≠ v) between them, leads to the conclusion that a satisfactory approximation should be obtained by setting Aμ = A for all μ, Fλ,μv = B if λμ and λv are vicinal and neglecting all other cross terms. The resulting model is nothing but the well-known equivalent bond orbital model of Lennard-Jones & Hall, which however can now be calibrated using the known C2s-ionization energies of hydrocarbons. Due to the discrete structure and the wider range (∽ 8 eV) of the C2s band systems in the photoelectron spectra of these molecules this leads to a more satisfactory parametrization than using the narrower and badly resolved C2p band system. Comparison of calculated band positions using the calibrated model with observed C2s-band ionization energies for a series of hydrocarbons reveals that the simple equivalent bond orbital model is better than one might have expected.
- Published
- 1977
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