“…Compared with their M (2) O-Al 2 O 3 -SiO 2 analogs, RE AS glasses exhibit enhanced physicochemical properties (such as lower corrosion resistance, higher glass-transition temperature and microhardness [271][272][273]) that traditionally have been attributed to the relatively strong RE-O bonds. However, on the basis of a strong observed correlation between the Vickers hardness and the Al average coordination number in a large set of RE 2 O 3 -Al 2 O 3 -SiO 2 (RE¼La, Y, Lu, Sc) glasses of widely spanning compositions, we recently proposed a new explanation for the well-known microhardness enhancement of RE AS glasses when the RE 3+ CFS is increased [89,270]: it originates from the concurrent growth of the AlO 5 populations and their enhanced network cross-linking effects through relatively strong Al [5] -OSi [4] /Al [4] bonds.…”