“…Moreover, with the guidance of the electron redistributions in terms of bonding charge density [56,65,66,67] and electron localization functions [68,69], new insights are provided into those microstates/SROs/clusters and structural phase transformations quantitatively and qualitatively. They are utilized to reveal the physical nature of chemical bond of pure metals (Al [61,70], Ag [71], Fe [60,72], Mg, Ti [73,74]), alloys (Co-based [57,62] and Ni-based [75]alloys), Fe-X alloys [60,72], Mg-RE-TM alloys [67,76], RHEAs [49,51], Ti-X alloys [73,74] [78], and Fe 3 O), semiconductors (graphene [65], sulfur [79], sulfides [79], and SiC [80]), and structural defects (stacking faults [62,73,81], APBs [57,75], grain boundaries [61,72], and dislocations [82,83]), which also reveal the fundamental solid-solution strengthening/embrittlement mechanism [61,73] and the grain refinement mechanism [70,74].…”