<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mo>−</mml:mo><mml:mi>L</mml:mi><mml:mi> </mml:mi><mml:mi>L</mml:mi></mml:math>Auger Transition Probabilities for Elements with Low and Intermediate Atomic Numbers

Radiationless $K\ensuremath{-}L L$ transition probabilities have been calculated nonrelativistically in $j\ensuremath{-}j$ coupling and in intermediate coupling, without and with configuration interaction, for elements with atomic numbers $13\ensuremath{\le}Z\ensuremath{\le}47$. The system is treated as a coupled two-hole configuration. The single-particle radial wave functions required in the calculation of radial matrix elements, and in the calculation of mixing coefficients in the intermediate-coupling scheme, were obtained from Green's atomic independent-particle model. Comparison with previous theoretical work and with experimental data is made. The effects of intermediate coupling, configuration interaction, and relativity are noted. Agreement of the calculated $Z$ dependence of $K\ensuremath{-}L L$ relative intensities with experiment has been somewhat improved.

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