MAX phases are well-known and established due to their unique combination of properties and versatility, but this family of materials has experienced several ups and downs during its short history, including even being referred to with different names. Extensive work was carried out in the early 1960s in Vienna (Austria) by Wolfgang Jeitschko and Hans Nowotny, who discovered in more than 100 new carbides and nitrides. 1 Among them, they reported a new class of ternary systems, based on a transition metal (M), a metalloid (Me), and carbon (C), with a similar crystal structure to carbon-stabilized β-manganese phase, that is, Mo 3 Al 2 C. They were classified as "H-Phases" due to their hexagonal crystal structure, and some compositions