Relativistic Study ofL1L2M4,5Coster-Kronig Transitions

Abstract

A relativistic expression for ${L}_{1}{L}_{2}{M}_{4,5}$ Coster-Kronig transition probabilities has been obtained by using the solutions of the Biedenharn symmetric Dirac-Coulomb Hamiltonian. The interaction matrix element yields the well-known nonrelativistic result in the appropriate limit. Numerical results for atoms having $Z$ values between 32 and 41 are compared with earlier calculations. Relativistic effects are shown to be sufficiently pronounced as not to be critically affected by the choice of a screening parameter. The transition probability at the cutoff point is appreciably greater than earlier nonrelativistic values.