{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,21]],"date-time":"2026-10-21T03:48:44Z","timestamp":1792554524257,"version":"4.5.0"},"reference-count":66,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2015,4,20]],"date-time":"2015-04-20T00:00:00Z","timestamp":1429488000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The stability of topological close-packed (TCP) phases were found to be well related to the average value of the d-orbital energy level \\( \\overline{Md} \\) for most reported high entropy alloys (HEAs). Excluding some HEAs that contain high levels of the elements aluminum and vanadium, the results of this study indicated that the TCP phases form at \\( \\overline{Md} \\)  &gt; 1.09. This criterion, as a semi-empirical method, can play a key role in designing and preparing HEAs with high amounts of transitional elements.<\/jats:p>","DOI":"10.3390\/e17042355","type":"journal-article","created":{"date-parts":[[2015,4,21]],"date-time":"2015-04-21T06:26:47Z","timestamp":1429597607000},"page":"2355-2366","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":122,"title":["A Criterion for Topological Close-Packed Phase Formation in High Entropy Alloys"],"prefix":"10.3390","volume":"17","author":[{"given":"Yiping","family":"Lu","sequence":"first","affiliation":[{"name":"School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China"},{"name":"State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Dong","sequence":"additional","affiliation":[{"name":"School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tongmin","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tingju","family":"Li","sequence":"additional","affiliation":[{"name":"School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China"},{"name":"Key Laboratory of Materials Modification by Laser, Ion, and Electron Beams, Ministry of Education, Dalian University of Technology, Dalian 116024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,4,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.msea.2003.10.257","article-title":"Microstructural development in equiatomic multicomponent alloys","volume":"375","author":"Cantor","year":"2004","journal-title":"Mater. 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