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We report measurements of the isotope shifts of the (3s3p)P - (3s4s)S Mg I transitions for the stable isotopes Mg (I=0), Mg (I=5/2) and Mg (I=0). Furthermore the Mg S hyperfine coefficient A(S) = (-321.6 1.5) MHz is extracted and found to be in excellent agreement with state-of-the-art theoretical predictions giving A(S) = -325 MHz and B(S) MHz. Compared to previous measurements, the data presented in this work is improved up to a factor of ten.

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