Sensitivity of the Hruby, Lu–Liu, Fan, Yuan, and Long glass stability parameters to the change of the ratios of characteristic temperatures Tx/Tg and Tm/Tg

The glass stability (GS) parameters, recently introduced by Fan (Φ), Yuan (β) and Long (ω), which are based upon the three characteristic temperatures: Tg—glass transition temperature, Tx—onset of the crystallization peak (or Tc—maximum of the crystallization peak), and Tm—melting temperature, are expressed in this paper via the ratios r = Tx/Tg and m = Tm/Tg. In an earlier paper, we applied the same procedure on the Hruby (KH), Weinberg (KW) and Lu–Liu (KLL) parameters. Thus, the GS parameters are more directly related to the supercooled region and reduced glass transition temperature. The objective was to find out how these GS parameters are sensitive to the changes of r and m, and whether this is reflected on the correlation of the given parameter with the glass-forming ability (GFA). The theoretically derived relation dβ/dr > dKH/dr > dKLL/dr always holds, and dβ/dr > dKH/dr > dω/dr > dKLL/dr is also probable, while the order of sensitivity to m is dβ/dm > dω/dm > dKLL/dm. Testing on one series of oxide glasses and two series of bulk metallic glasses confirmed in full these relations. The parameter β is the most sensitive to the changes of both r and m, while KLL is generally least sensitive. Partial sensitivity of a GS parameter to r and m is not related to the coefficient of correlation between the GS parameter and GFA, whereas the ratio dGS/dr : dGS/dm can explain the magnitude of the correlation coefficient.