“…Different from S3, only an endothermic behavior was detected during the heating process of S2. Although the quenched-in nuclei with net magnetic moments were identified in S1 [5], as widely observed in rare-earth-based materials [11,12], the growth of the nuclei and the nucleation of the amorphous matrix are thought to be negligible in S2, since at a relatively lowtemperature about T g , it always takes much longer time to crystallize during the isothermal process. For S2, since the amorphous structure keeps maintained, the spin-glass state is primarily influenced by the atomic and site disorders, which bring about a competition of the randomly distributed exchange interactions between Nd-Nd, Nd-Ni and Ni-Ni bondings.…”