This framework focuses mainly on a detailed study of the pre-crystallization criteria that characterize the As40S45Se15 glassy alloy in various heating rates ranging from 5 to 40 (K/min.) by DSC thermo-grams in the range of (300-575 K). These criteria aim to clarify the relationship of the tendency of glass-forming by the heating rate for the investigated glassy alloy. As well, the present framework demonstrates the criteria of thermal stability. Continuously, the various nucleation and growth pathways. The transformation in activation energy with the volume of the crystalline portion was deduced and, through this, we were able to determine the surface resistance of the analyzed bulk alloy in the crystallization region. The crystalline structure of the study sample was recognized by X-ray diffraction (XRD) and electron scanning microscope (SEM).