Interpretation of aluminium X-ray band spectra II. Determination of effective potentials from experimental L23 emission spectra

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Abstract
Accurate L23 emission spectra from Na, Mg and Al have been obtained using improved counting techniques. Various possible corrections to the Al spectrum are discussed, and it was found that the spectrum compared favourably with a band structure calculation. In order to derive effective potentials from the spectrum, methods of determining the position of the bottom of the band are discussed. It is shown that the effects of exchange and correlation can be neglected. The effective potentials are derived, and compared with various theoretical estimates and the potentials derived by Ashcroft from de Haas-van Alphen measurements. Finally, methods of extending this work are discussed.