“…This is in stark contrast to other phases in the ternary Cr-Al-B system of non-equistoichiometric composition such as Cr 2 AlB 2 , Cr 3 AlB 4 and Cr 4 AlB 6 7,15 as well as Cr 4 AlB 4 , 16 all of which have been obtained experimentally. This discrepancy has been partially explained by theoretical studies such as those by Bai et al 17 and Khazaei et al, 18 which have shown the hypothetical CrAlB phase to be unstable vs. the competing phase Cr 2 AlB 2 and Al in the ground state at 0 K, while being stable upon formation from the elements, with the latter finding also reported by Rastogi et al 19 and Wei et al 20 It was also observed, via electronic structure analysis and force constant calculations, that the B-B bonds are strongest in CrAlB, followed by the Cr-B bonds, with Cr-Al and Al-B bonds being significantly weaker, 17,18 allowing for extrapolations of the mechanical properties. 17 However, while reporting both enthalpies of formation (ΔH) and Gibbs reaction energies (ΔG) in the ground state, none of the hitherto published theoretical studies, to our knowledge, examined the temperature dependence ΔG(T ) of the Gibbs energy, either vs. the elements or competing phases.…”