An alternative explanation for the origin of the $K{\beta }^{\prime }$ satellite of the $K{\beta }_{1,3}$ x-ray emission line of the first transition elements ($21\le Z\le 29$) has been given using the Bohm and Pines theory of plasma oscillations in solids. The present calculated values for the energy separation ($\Delta E$), and the relative intensity of the $K{\beta }^{\prime }$ satellite with respect to the $K{\beta }_{1,3}$ x-ray emission line, agree better with the experimentally observed values than the values calculated by the exchange-interaction theory of Tsutsumi et al., Salem et al., and Ekstig et al.

• Received 23 December 1980

DOI:https://doi.org/10.1103/PhysRevA.25.2838