High-throughput NEB for oxygen vacancy diffusion. We first queried MP (using mp_api v0.33.3) for all oxides that only contain cations in the space of { Al, Ba, Bi, Ca, Cs, Ga, Ge, Hf, In, K, Li, Mg, Na, Nb, Rb, Si, Sn, Sr, Ta, Ti, Y, Zr }, yielding a total of ∼3700 unique structures. Selection of this chemical space will be motivated later, where we describe our screening for TCH candidate materials. To compute oxygen vacancy diffusivity via a simple lattice site diffusion mechanism in a single oxide, one must first define an O-O neighbor cutoff radius (5.0 Å in this work) to identify all possible oxygen vacancy migration paths, then compute the migration activation energy (via NEB) for all symmetrically inequivalent paths. Depending on its structural/chemical complexity, a single oxide may easily contain O(10 2 ) or more inequivalent O-O paths; thus, considering the expense of NEB calculations, exhaustively obtaining the migration activation energies needed for diffusivity predictions in a single material can be arduous. Such an approach would be infeasible for the O(10 4 ) or more materials typically investigated in high-throughput screening studies.