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We report the theoretical prediction of two high-performing hydridesuperconductors BaSiH$_8$ and SrSiH$_8$. They are thermodynamically stableabove pressures of $130$ and $174\,\text{GPa}$, respectively, and metastablebelow that. Employing anharmonic phonon calculations, we determine the minimumpressures of dynamical stability to be around $3\,\text{GPa}$ for BaSiH$_8$ and$27\,\text{GPa}$ for SrSiH$_8$, and using the fully anisotropicMigdal-Eliashberg theory, we predict $T_\text{c}$'s around $71$ and$126\,\text{K}$, respectively. We also introduce a method to estimate thelowest pressure of synthesis, based on the calculation of the enthalpy barriersprotecting the BaSiH$_8$ $Fm\bar{3}m$ structure from decomposition at variouspressures. This $kinetic$ pressure threshold is sensibly higher than the onebased on $dynamic$ stability, but gives a much more rigorous limit forsynthesizability.

In-silico synthesis of lowest-pressure high-$T_\text{c}$ ternary superhydrides