show distinct discontinuities at critical points for the electron number, corresponding to complete filling consecutive electronic shells (Fig. : Z=20 and Z= 25). The hyperhardness for cations (Fig. ) is smaller as compared to the hardness of atoms except the lightest atoms. The contribution from hyperhardness may have considerable effect for anions (Fig. ), with absolute value of hyperhardness  reaching ca. 10% of hardness itself. ⁄ 𝑣 becomes negligibly small as compared to the local softness. Notably, they span much broader region around atoms than the local softness functions and their role for many anions may not be neglected; complete integration of these functions could not be achieved in the standard grid size [0, 20 a. u.].