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X‐Ray Emission Spectrum of Metallic Lithium
Author(s) -
Mgbenu E. N.,
Maduemezia A.
Publication year - 1978
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220880248
Subject(s) - interpolation (computer graphics) , spectral line , spectrum (functional analysis) , physics , fermi gamma ray space telescope , emission spectrum , lithium (medication) , electron , atomic physics , energy (signal processing) , density of states , fermi level , condensed matter physics , quantum mechanics , motion (physics) , medicine , classical mechanics , endocrinology
Using improved wave functions, the X‐ray K‐emission spectrum of metallic lithium is computed in the one‐electron band approximation. An adaptation of the multi‐Lagrangian formula is employed in the interpolation required in the density of states evaluation. The shape of the transition probability curve and the gradient of the intensity spectrum at the Fermi energy are investigated in detail. The conclusion is that self‐consistency in the wave functions has a dramatic effect on the X‐ray transition probability. Nozières and de Dominicis' singularity is applied at the threshold to obtain agreement between the experimental and computed spectra. It is found that the value of the cut‐off energy ξ 0 required for correspondence between the two spectra in the threshold region, is of the order of the Fermi energy. This confirms predictions obtained analytically.