A mesostructured material consisting essentially of at least two elementary spherical particles, each of said spherical particles comprising a mesostructured matrix based on aluminum oxide, said matrix having a pore diameter ranging between 1.5 and 30 nm, and an aluminum oxide content representing more than 46 wt. % of the mass of said matrix such that said mesostructured matrix has a Si/Al molar ratio strictly below 1, said matrix having amorphous walls of thickness ranging between 1 and 30 nm, and said elementary spherical particles having a diameter D ranging between 11 and 70 μm.