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A comprehensive angle resolved photoemission spectroscopy study of the bandstructure in single layer cuprates is presented with the aim of uncoveringuniversal trends across different materials. Five different hole- andelectron-doped cuprate superconductors(La$_{1.59}$Eu$_{0.2}$Sr$_{0.21}$CuO$_4$, La$_{1.77}$Sr$_{0.23}$CuO$_4$,Bi$_{1.74}$Pb$_{0.38}$Sr$_{1.88}$CuO$_{6+\delta}$,Tl$_{2}$Ba$_{2}$CuO$_{6+\delta}$, andPr$_{1.15}$La$_{0.7}$Ce$_{0.15}$CuO$_{4}$) have been studied with special focuson the bands with predominately $d$-orbital character. Using light polarizationanalysis, the $e_g$ and $t_{2g}$ bands are identified across these materials. Aclear correlation between the $d_{3z^2-r^2}$ band energy and the apical oxygendistance $d_\mathrm{A}$ is demonstrated. Moreover, the compound dependence ofthe $d_{x^2-y^2}$ band bottom and the $t_{2g}$ band top is revealed. Directcomparison to density functional theory (DFT) calculations employing hybridexchange-correlation functionals demonstrates excellent agreement. We thusconclude that the DFT methodology can be used to describe the global bandstructure of overdoped single layer cuprates on both the hole and electrondoped side.

Band Structure of Overdoped Cuprate Superconductors: Density Functional Theory Matching Experiments