Measurement of $e^{+}{e}^{-}\to \phi {\eta }^{\mathrm{\prime }}$ cross sections at center-of-mass energies between 3.508 and 4.600 GeV

We present a measurement of the dressed cross sections for $e^{+}{e}^{-}\to \phi {\eta }^{\mathrm{\prime }}$ at different center-of-mass energies between 3.508 and 4.600 GeV based on 15.1 fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected with the BESIII detector operating at the BEPCII collider. In addition, a search for the decay $Y(4230)\to \phi {\eta }^{\mathrm{\prime }}$ is performed. No clear signal is observed and the corresponding upper limit is provided.