Octagonal symmetry in low-discrepancy β-manganese

A low-discrepancy cubic variant of β-Mn is presented, exhibiting local octagonal symmetry upon projection. A comparison of the actual and ideal structure models of β-Mn is made in terms of the newly devised concept of geometrical discrepancy maps. Geometrical discrepancy maps combine predictive and discriminatory powers to appear useful within a wide range of structural chemistry studies.