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We report on the improved measurement of the hyperfine structure of$4f^{12}(^3 H_6)5d_{5/2}6s^2$ $(J=9/2)$ excited state in Tm-169 which isinvolved in the second-stage laser cooling of Tm. To measure the absolute valueof the hyperfine splitting interval we used Doppler-free frequency modulationsaturated absorption spectroscopy of Tm atoms in a vapor cell. The sign of thehyperfine constant was determined independently by spectroscopy of laser cooledTm atoms. The hyperfine constant of the level equals $A_J=-422.112(32)$ MHzthat corresponds to the energy difference between two hyperfine sublevels of$-2110.56(16)$~MHz. In relation to the saturated absorption measurement wequantitatively treat contributions of various mechanisms into the linebroadening and shift. We consider power broadening in the case when Zeemansublevels of atomic levels are taken into account. We also discuss the linebroadening due to frequency modulation and relative intensities of transitionsin saturated-absorption experiments.

Improved measurement of the hyperfine structure of the laser cooling level $4f^{12}(^3 H_6)5d_{5/2}6s^2$ $(J=9/2)$ in $^{169}$Tm