K alpha and K beta x-ray emission spectra of copper.

Abstract

The K${\mathrm{\ensuremath{\alpha}}}_{1,2}$ and K${\mathrm{\ensuremath{\beta}}}_{1,3}$ spectra of copper were measured using double- and single-crystal diffractometers whose finite resolution effects were carefully characterized and corrected for. A phenomenological resolution of the spectra into Lorentzians is given, yielding excellent R factors close to 1%. Fits to our detailed relativistic Dirac-Fock and nonrelativistic Hartree-Fock ab initio calculations reveal that the line shapes can be accounted for by the diagram and the single 3d spectator hole transitions only, with R factors of 3--5 % (the underline below 3d denotes a hole state). The contribution of the 3d spectator transitions to each of the spectra is 26--30 %. The K\ensuremath{\alpha} spectrum may also contain a small \ensuremath{\sim}0.5% contribution from the 3p spectator transition. The fit residuals of the K\ensuremath{\beta} spectrum show systematic deviations in the vicinity of the \ensuremath{\beta}' feature, which may be due to exchange interactions or plasmon excitations. Contributions of similar origins to the K\ensuremath{\alpha} spectrum were not detected. Linewidths, energies, and intensities are reported, for the raw as well as the fit-resolved spectra, and critically compared with previous data, where available.