“…In 2007, a new approach paved the way for obtaining materials with outstanding gas separation properties. − The methodology consisted of thermal rearrangement (TR) of ortho -hydroxy polyimides (HPIs) in the solid state above 400 °C (named the TR process) to generate polybenzoxazole (PBO) groups together with release of CO 2 . − This thermal process led to the formation of an increased number of fine-tuned free volume elements, which yielded materials with very high permeability , and good selectivity. The observed improvement was so high that the gas separation properties clearly surpassed the 2008 Robeson limit for some gas pairs. , Because of the elevated temperature required for this conversion, cross-linked materials were obtained, which improved its plasticization resistance and decreased its physical aging. , These results encouraged research in this area, and new structures were developed. − In this way, the search for relationships between structure and properties was envisioned, and the feasibility of carrying out the TR process on o -acyl- ,, or o -alkoxypolyimides was realized. Additionally, important efforts on the design and synthesis of new TR polymers have been accomplished by incorporating contorted monomers with high rigidity to produce o -hydroxy polyimides with high FFV, which subsequently produced thermally rearranged polybenzoxazoles (TR-PBOs) with excellent gas separation properties. ,, In this way, TR-PBOs derived from polyimides with bulky 9,9-diphenylfluorene moieties have been obtained. , In order to improve the properties of the final TR-PBO materials, classical polymer science approaches, such as copolymerization of well-designed monomers, have been employed, and the results were promising. − Finally, classical technologies employed in the field of gas separation membranes such as the cross-linking of precursor polyimides , or the formation of high-quality hollow fibers have been used to obtain high-productivity TR-PBO materials …”