The L i (i = 1, 2, 3) sub-shell x-ray fluorescence yields .! i / for 79 Au, 80 Hg and 81 Tl were deduced from the measured cross-sections for the L i (i = 1, 2, 3) sub-shell x-rays following ionization by 59.54 keV g-rays .B L 1 < E inc < B K / and for the L 3 sub-shell x-rays following ionization by Rb K xrays .ionization threshold of the target element. An energy-dispersive x-ray fluorescence setup, involving photon sources consisting of a 241 Am annular source in the direct and secondary excitation modes along with RbCl secondary exciter and an Si(Li) detector, was used for the measurements. The measured ! 2 and ! 3 values exhibit good agreement with those based on the relativistic Dirac-Hartree-Slater (RDHS) calculations, while the ! 1 values are found to be higher by ∼25%. The present data indicate that the L 1 -L 3 Coster-Kronig yield f 13 based on the RDHS calculations are overestimated.