“…The fundamental importance of the secondary relaxation also has been recognized from the strong connections to the thermal stability, the elastic and deformation behaviors − in glasses, and to the structural α-relaxation. − Suggested by the Coupling Model (CM) and established empirically, τ β is found to be quantitatively related to τ α ,− in the Kohlrausch correlation function, of the α-relaxation, where β KWW is a fractional exponent. So far, all rigid molecules studied experimentally including chlorobenzene, 2-picoline, quinaldine, benzonitrile, , orth o -terphenyl, , toluene, adamantanone, , 1-fluoro-adamantane, hexa-substituted benzenes, and simulations of rigid diatomic toy molecule all show a single secondary relaxation, which verifies the connections of the α and β- relaxations. The α and β- relaxation connections are also verified in some metallic glasses, such as Pd 40 Ni 10 Cu 30 P 20 and La 60 Ni 15 Al 25 , as well as in ionic liquid conductors .…”