The most up-to-date photorecombination spectrum of Ga~(13+) and Ge~(14+) has been re-assessed with direct large-scale relativistic atomic structure calculations. The new temperature-dependent dielectronic recombination rate coefficients are presented in a form convenient for astrophysical plasma modeling, summarizing the importance of different multi-electron intra-shell core excitations in the target ions. Obtained results are expected to facilitate a more accurate determination of the ionization-recombination balance of multiply-charged gallium and germanium ions and to improve the diagnosis of the radiative energy loss rates from low-density high-temperature plasmas.
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