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            <title xml:lang="en">Quantitative electron energy loss spectroscopy on M45 edges in rare earth oxides</title>
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                <title xml:lang="en">Quantitative electron energy loss spectroscopy on M45 edges in rare earth oxides</title>
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                <term xml:lang="en">Rare Earth Compounds</term>
                <term xml:lang="en">Rare Earth Oxides</term>
                <term xml:lang="en">Quantitative Electron Energy Loss Spectroscopy</term>
                <term xml:lang="en">Hartree-Slater Model</term>
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              <p>The present paper deals with a systematic experimental study and theoretical evaluation of the shape and weight for the characteristic M45 rare earth edge and K oxygen edge in the family of rare earth oxides. An innovative method is used for processing the recorded spectra; it consists of modelling the experimental data as a sum of predicted contributions. The results obtained for the k factors, cross-sections and oscillator strengths are generally in good agreement with the atomic calculations in the Hartree-Slater model which considers only transitions towards final states in the continuum. The position and relative weight of the white-lines on the M45 edges corresponding to transitions towards final bound states of f symmetry are also measured and compared either with measurements from other techniques e.g. X-ray absorption Spectroscopy (XAS) or with calculations of the multiplet terms.</p>
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