“…Our comparison focuses on average particle size and neglects particle size distributions (reported in only a subset of studies); we emphasize that our goal is to broadly compare the trends between particle sizes and phases in the literature. The δ-MoC phase dominates the smaller particle size ranges, ,,,,,,− in agreement with our calculations, although there are a few reports of δ-MoC at larger sizes. ,,, Similarly, η-MoC has been synthesized only at small particle sizes <6 nm. ,− The α-Mo 2 C phase has been experimentally synthesized − across a wide range of particle sizes, weighted more heavily toward larger particle sizes, consistent with Figure a. The β-Mo 2 C phase is close in free energy to α-Mo 2 C at all Δμ C and all particle sizes (Figures a,b and S6) and is similarly represented in a wide range of sizes (excluding the 0–3 nm range). ,,,,− ,,,− The one notable exception is the γ-MoC phase, predicted to be more stable at larger particle sizes, which has been synthesized with similar representation at both small (3–6 nm) , and large (>9 nm) − particle sizes and does not appear to follow a trend.…”