BaFe2O4 is a new candidate to the family of magnetoelectric multiferroics, featuring ABW-type zeolite structure with Bb21m symmetry. The lack of space inversion opens the route to ferroelectricity, while weak ferromagnetic behavior is detected below about 950 K making of this compound a promising candidate to room temperature magnetoelectricity. The presence of sizeable coupling of the magnetic and ferroelectric degrees of freedom would make of this material one of the few multiferroics suitable for application, as a consequence we propose to perform a powder neutron diffraction experiment in the 300-1100 K range aimed to thoroughly determine the thermal evolution of both the magnetic and nuclear structures and their fine symmetry properties, whose knowledge is a mandatory requirement in order to unveil the possible presence of magnetoelectric coupling and its microscopic mechanism.