We demonstrate a diode laser system operating at 399 nm that is stabilized to
the electric dipole transition in
ytterbium (Yb) atoms in a hollow-cathode lamp. The frequency stability of the
laser reached at an averaging time of $\tau = 1
$. We performed an absolute frequency measurement using an optical
frequency comb and determined that the absolute frequency of the laser
stabilized to the transition in
was 751 526 522.26(9) MHz. We also investigated several
systematic frequency shifts while changing some of the light source parameters
and measured several isotope shifts. The measured laser frequency will provide
useful information regarding the practical use of the frequency-stabilized
light source at 399 nm.

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