The structure of thin $\mathrm{Mg}$ films epitaxially grown onto a $\mathrm{W}(110)$ crystal was analyzed by low energy electron and Auger electron diffraction verifying a growth of bulk $\mathrm{Mg}$. Normal-emission angle-resolved photoemission spectra of the growing films reveal quantum well states on both sides of a surface state. These states result from electron confinement in the $\mathrm{Mg}$ layer and are used to derive the electronic structure perpendicular to the surface. Off-normal, the electronic structure is dominated by the parabolic dispersion of surface states forming circles around the $\overline{\ensuremath{\Gamma}}$-points and ellipses around the $\overline{\mathrm{M}}$-points in the Fermi surface cuts.
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