Hume-Rothery rules for structurally complex alloy phases

By 水谷宇一郎. 2011

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Phase stability in high entropy alloys: Formation of solid-solution phase or amorphous phase (2011, background): “It needs to be pointed out here that VEC is different to e/a, the average number of itinerant electrons per atom in that VEC counts the total electrons including the d-electrons accommodated in the valence band [27, 28].”
Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys (2013, background): “pseudogap formation, the orbital hybridization.[30] For”
High-entropy ceramic thin films; A case study on transition metal diborides (2018, background): “Furthermore, also based on the lattice parameter differences (maximum between ZrB2 and VB2 of 5% for a and 14% for c), solid solutions are expected [33,34].”
High-entropy alloy: challenges and prospects (2016, background): “This is termed as the ‘atomic size rule’ in conventional alloys, a well-known Hume–Rothery rule frequently used to explain the solubility of solute atoms in an alloy [39].”
Phase selection rules for cast high entropy alloys: An overview (2015, methodology): “Mizutani discussed different applications of e/a and VEC in depth in his monograph Hume– Rothery Rules for Structurally Complex Alloy Phases.(49) More detailed information on the difference between e/a and VEC can be found in this book.”