{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T06:32:33Z","timestamp":1792737153594,"version":"4.5.0"},"reference-count":38,"publisher":"Walter de Gruyter GmbH","issue":"2019","license":[{"start":{"date-parts":[[2018,12,20]],"date-time":"2018-12-20T00:00:00Z","timestamp":1545264000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,2,25]]},"abstract":"Abstract<\/jats:title>\n \n The partition behavior of alloying elements between the \u03b3\u2019 and \u03b3 phases in Nickel-based alloys was investigated by using infinite dilution activity coefficient and activity interaction parameter. The results showed that the preferential partition behavior of elements in the \u03b3\u2019 and \u03b3 phases is related to its infinite dilution activity coefficient (\n \n \n \n \n ln<\/m:mo>\n \n \u03b3<\/m:mi>\n i<\/m:mi>\n 0<\/m:mn>\n <\/m:msubsup>\n <\/m:math>\n \\ln \\gamma _i^0<\/jats:tex-math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n ). When\n \n \n \n \n ln<\/m:mo>\n \n \u03b3<\/m:mi>\n i<\/m:mi>\n 0<\/m:mn>\n <\/m:msubsup>\n \u226a<\/m:mo>\n 0<\/m:mn>\n <\/m:math>\n \\ln \\gamma _i^0 \\ll 0<\/jats:tex-math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n , the element\n \n i<\/jats:italic>\n <\/jats:bold>\n has a strong tendency to partition in the \u03b3\u2019 phase; When\n \n \n \n \n ln<\/m:mo>\n \n \u03b3<\/m:mi>\n i<\/m:mi>\n 0<\/m:mn>\n <\/m:msubsup>\n <\/m:math>\n \\ln \\gamma _i^0<\/jats:tex-math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n approaches to zero, the element\n \n i<\/jats:italic>\n <\/jats:bold>\n has preferentially partition to the matrix \u03b3 phase. In addition, the partition behavior of element\n \n i<\/jats:italic>\n <\/jats:bold>\n in the \u03b3\u2019 and \u03b3 phases is also affected by the third element\n \n j<\/jats:italic>\n <\/jats:bold>\n in Nickel-based alloys, and this effect can be distinguished by the sign of the second-order activity interaction parameter\n \n \n \n \n \n \u03c1<\/m:mi>\n i<\/m:mi>\n \n i<\/m:mi>\n j<\/m:mi>\n <\/m:mrow>\n <\/m:msubsup>\n <\/m:math>\n \\rho _i^{ij}<\/jats:tex-math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n .\n <\/jats:p>","DOI":"10.1515\/htmp-2018-0120","type":"journal-article","created":{"date-parts":[[2018,12,20]],"date-time":"2018-12-20T04:01:39Z","timestamp":1545278499000},"page":"498-504","source":"Crossref","is-referenced-by-count":9,"title":["Partition Behavior of Alloying Elements in Nickel-Based Alloys and Their Activity Interaction Parameters and Infinite Dilution Activity Coefficients"],"prefix":"10.1515","volume":"38","author":[{"given":"Tianhua","family":"Ju","sequence":"first","affiliation":[{"name":"School of Metallurgy , Northeastern University , Shenyang 110004 , Liaoning Province , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xueyong","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Metallurgy , Northeastern University , Shenyang 110004 , Liaoning Province , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yingyi","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Metallurgical Engineering , Anhui University of Technology , Maanshan 243002 , Anhui Province , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiangkui","family":"Chen","sequence":"additional","affiliation":[{"name":"Panzhihua University , Panzhihua 617000 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiliang","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Metallurgy , Northeastern University , Shenyang 110004 , Liaoning Province , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bo","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Metallurgy, Northeastern University , Shenyang 110004 , Liaoning Province, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinlin","family":"Yan","sequence":"additional","affiliation":[{"name":"Institute of Solid State Physics , Vienna University of Technology , Wiedner Hauptstr. 8-10, 1040 Vienna , Austria"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2018,12,20]]},"reference":[{"key":"2026053114164965960_j_htmp-2018-0120_ref_001_w2aab3b7c56b1b6b1ab1b5b1Aa","doi-asserted-by":"crossref","unstructured":"T.M. Pollock and S. Tin, J. Propul. Power., 22 (2006) 361\u2013374.10.2514\/1.18239","DOI":"10.2514\/1.18239"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_002_w2aab3b7c56b1b6b1ab1b5b2Aa","doi-asserted-by":"crossref","unstructured":"M. Enomoto and H. Harada, Metall. Trans. A, 20 (1989) 649\u2013664.10.1007\/BF02667583","DOI":"10.1007\/BF02667583"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_003_w2aab3b7c56b1b6b1ab1b5b3Aa","doi-asserted-by":"crossref","unstructured":"C.C. Jia, K. Ishida and T. Nishizawa, Metall. Mater. Trans. A, 25 (1994) 473\u2013485.","DOI":"10.1007\/BF02651589"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_004_w2aab3b7c56b1b6b1ab1b5b4Aa","doi-asserted-by":"crossref","unstructured":"M. Detrois, S. Antonov, R.C. Helmink, et al., JOM, 66 (2014) 2478\u20132485.10.1007\/s11837-014-1157-y","DOI":"10.1007\/s11837-014-1157-y"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_005_w2aab3b7c56b1b6b1ab1b5b5Aa","doi-asserted-by":"crossref","unstructured":"A. Heckl, S. Neumeier, S. Cenanovic, et al., Acta Mater., 59 (2011) 6563\u20136573.10.1016\/j.actamat.2011.07.002","DOI":"10.1016\/j.actamat.2011.07.002"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_006_w2aab3b7c56b1b6b1ab1b5b6Aa","doi-asserted-by":"crossref","unstructured":"R.C. Reed, A.C. Yeh, S. Tin, et al., Scr. Mater., 51 (2004) 327\u2013331.10.1016\/j.scriptamat.2004.04.019","DOI":"10.1016\/j.scriptamat.2004.04.019"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_007_w2aab3b7c56b1b6b1ab1b5b7Aa","doi-asserted-by":"crossref","unstructured":"C.Y. Cui, M. Osawa, A. Sato, et al., Metall. Mater. Trans. A, 37 (2006) 355\u2013360.10.1007\/s11661-006-0005-2","DOI":"10.1007\/s11661-006-0005-2"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_008_w2aab3b7c56b1b6b1ab1b5b8Aa","doi-asserted-by":"crossref","unstructured":"Y. Amouyal, Z. Mao and D.N. Seidman, Acta Mater., 58 (2010) 5898\u20135911.10.1016\/j.actamat.2010.07.004","DOI":"10.1016\/j.actamat.2010.07.004"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_009_w2aab3b7c56b1b6b1ab1b5b9Aa","doi-asserted-by":"crossref","unstructured":"L.Y. Kuo, Y.J. Chang and A.C. Yeh, Metall. Mater. Trans. A, 48a (2017) 3920\u20133926.","DOI":"10.1007\/s11661-017-4155-1"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_010_w2aab3b7c56b1b6b1ab1b5c10Aa","doi-asserted-by":"crossref","unstructured":"S. Walston, A. Cetel, R. Mackay, et al., Proceedings of the10th International Symposium on Superalloys, Septemper 19\u201323, 2004, Warrendale, PA, (2004), pp. 15\u201324.","DOI":"10.7449\/2004\/Superalloys_2004_15_24"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_011_w2aab3b7c56b1b6b1ab1b5c11Aa","doi-asserted-by":"crossref","unstructured":"Y. Saito and H. Harada, Mat. Sci. Eng. a-Struct., 223 (1997) 1\u20139.10.1016\/S0921-5093(96)10476-7","DOI":"10.1016\/S0921-5093(96)10476-7"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_012_w2aab3b7c56b1b6b1ab1b5c12Aa","doi-asserted-by":"crossref","unstructured":"S. Liu, M. Wen, Z. Li, et al., Mater. Des., 130 (2017) 157\u2013165.10.1016\/j.matdes.2017.05.032","DOI":"10.1016\/j.matdes.2017.05.032"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_013_w2aab3b7c56b1b6b1ab1b5c13Aa","doi-asserted-by":"crossref","unstructured":"W. Sha and K.L. Edwards, Mater. Des., 28 (2007) 1747\u20131752.10.1016\/j.matdes.2007.02.009","DOI":"10.1016\/j.matdes.2007.02.009"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_014_w2aab3b7c56b1b6b1ab1b5c14Aa","unstructured":"S. Shi, J. Xu, Y. Cui, et al., Sci. Tech. Rev., 33 (2015) 20\u201330."},{"key":"2026053114164965960_j_htmp-2018-0120_ref_015_w2aab3b7c56b1b6b1ab1b5c15Aa","doi-asserted-by":"crossref","unstructured":"L.-Y. Kuo, Y.-J. Chang and A.-C. Yeh, Metall. Mater. Trans. A, 48 (2017) 3920\u20133926.10.1007\/s11661-017-4155-1","DOI":"10.1007\/s11661-017-4155-1"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_016_w2aab3b7c56b1b6b1ab1b5c16Aa","doi-asserted-by":"crossref","unstructured":"W.T. Loomis, J.W. Freeman and D.L. Sponseller, Metall. Mater. Trans. B, 3 (1972) 989\u20131000.10.1007\/BF02647677","DOI":"10.1007\/BF02647677"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_017_w2aab3b7c56b1b6b1ab1b5c17Aa","unstructured":"C. Wagner, Thermodynamics of Alloys, Addison-Wesley Press, Cambridge, Mass. (1952)."},{"key":"2026053114164965960_j_htmp-2018-0120_ref_018_w2aab3b7c56b1b6b1ab1b5c18Aa","unstructured":"X.Y. Ding, P. Fan and Q. Han, Acta Metall. Sin., 30 (1994) 49\u201360."},{"key":"2026053114164965960_j_htmp-2018-0120_ref_019_w2aab3b7c56b1b6b1ab1b5c19Aa","doi-asserted-by":"crossref","unstructured":"X.Y. Ding, W. Wang and P. Fan, Metall. Mater. Trans. B, 30 (1999) 271\u2013277.10.1007\/s11663-999-0056-z","DOI":"10.1007\/s11663-999-0056-z"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_020_w2aab3b7c56b1b6b1ab1b5c20Aa","doi-asserted-by":"crossref","unstructured":"Y. Waseda, High Temp. Mater. Processes, 31 (2012) 203\u2013208.","DOI":"10.1515\/htmp-2012-0023"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_021_w2aab3b7c56b1b6b1ab1b5c21Aa","doi-asserted-by":"crossref","unstructured":"S. Ueno, Y. Waseda, K.T. Jacob, et al., Process Metallurgy, 59 (1988) 474\u2013483.","DOI":"10.1002\/srin.198801544"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_022_w2aab3b7c56b1b6b1ab1b5c22Aa","doi-asserted-by":"crossref","unstructured":"C.H.P. Lupis and J.F. Elliott, Acta Metall., 14 (1966) 529\u2013538.10.1016\/0001-6160(66)90320-8","DOI":"10.1016\/0001-6160(66)90320-8"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_023_w2aab3b7c56b1b6b1ab1b5c23Aa","doi-asserted-by":"crossref","unstructured":"A.K. Niessen, A.R. Miedema, F.R. De Boer, et al., Physica B+C, 151 (1988) 401\u2013432.10.1016\/0378-4363(88)90296-3","DOI":"10.1016\/0378-4363(88)90296-3"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_024_w2aab3b7c56b1b6b1ab1b5c24Aa","doi-asserted-by":"crossref","unstructured":"A.R. Miedema, P.F. De Ch\u00e2tel and F.R. De Boer, Physica B+C, 100 (1980) 1\u201328.10.1016\/0378-4363(80)90054-6","DOI":"10.1016\/0378-4363(80)90054-6"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_025_w2aab3b7c56b1b6b1ab1b5c25Aa","unstructured":"J. Neuhausen and B. Eichler, Extension of Mediema\u2019s Macroscopic Atom Model to the Elements of Group 16 (O, S, Se, Te, Po), PSI Report No. 03-13, 2003."},{"key":"2026053114164965960_j_htmp-2018-0120_ref_026_w2aab3b7c56b1b6b1ab1b5c26Aa","unstructured":"X.Y. Ding, P. Fan and L.H. Luo, Alloy Melts Thermodynamic Model: Predictionand Software Development, Northeastern University Press, Shenyang (1998)."},{"key":"2026053114164965960_j_htmp-2018-0120_ref_027_w2aab3b7c56b1b6b1ab1b5c27Aa","doi-asserted-by":"crossref","unstructured":"G.K. Sigworth, J.F. Elliott, G. Vaughn, et al., Can. Metall. Q., 16 (2013) 104\u2013110.","DOI":"10.1179\/cmq.1977.16.1.104"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_028_w2aab3b7c56b1b6b1ab1b5c28Aa","doi-asserted-by":"crossref","unstructured":"T. Tanaka, N. Imai, A. Kiyose, et al., Z. Metallkd., 82 (1991) 836\u2013840.","DOI":"10.1515\/ijmr-1991-821106"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_029_w2aab3b7c56b1b6b1ab1b5c29Aa","doi-asserted-by":"crossref","unstructured":"S. An Mey, Calphad, 16 (1992) 255\u2013260.10.1016\/0364-5916(92)90022-P","DOI":"10.1016\/0364-5916(92)90022-P"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_030_w2aab3b7c56b1b6b1ab1b5c30Aa","doi-asserted-by":"crossref","unstructured":"M. Heinz, K. Koch and D. Janke, Steel Res., 60 (1989) 246\u2013254.10.1002\/srin.198901646","DOI":"10.1002\/srin.198901646"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_031_w2aab3b7c56b1b6b1ab1b5c31Aa","doi-asserted-by":"crossref","unstructured":"A.A. Aleksandrov, V.Y. Dashevskii and L.I. Leont\u2019ev, Steel Trans., 46 (2016) 479\u2013483.10.3103\/S0967091216070020","DOI":"10.3103\/S0967091216070020"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_032_w2aab3b7c56b1b6b1ab1b5c32Aa","doi-asserted-by":"crossref","unstructured":"T.M. Pollock and R.D. Field, Chapter 63 in Dislocations in Solids edited by F.R.N. Nabarro and M.S. Duesbery, Elsevier (2002), pp. 547\u2013618.","DOI":"10.1016\/S1572-4859(02)80014-6"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_033_w2aab3b7c56b1b6b1ab1b5c33Aa","doi-asserted-by":"crossref","unstructured":"S. Yoshitake, V. Narayan, H. Harada, et al., ISIJ Int., 38 (1998) 495\u2013502.10.2355\/isijinternational.38.495","DOI":"10.2355\/isijinternational.38.495"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_034_w2aab3b7c56b1b6b1ab1b5c34Aa","doi-asserted-by":"crossref","unstructured":"A. Chiba, S. Hanada and S. Watanabe, Scr. Metall. Mater., 25 (1991) 1053\u20131057.10.1016\/0956-716X(91)90500-Z","DOI":"10.1016\/0956-716X(91)90500-Z"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_035_w2aab3b7c56b1b6b1ab1b5c35Aa","doi-asserted-by":"crossref","unstructured":"E.O. Ezugwu, Z.M. Wang and A.R. Machado, J. Mater. Process. Technol., 86 (1999) 1\u201316.10.1016\/S0924-0136(98)00314-8","DOI":"10.1016\/S0924-0136(98)00314-8"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_036_w2aab3b7c56b1b6b1ab1b5c36Aa","doi-asserted-by":"crossref","unstructured":"L.J. Carroll, Q. Feng, J.F. Mansfield, et al., Mat. Sci. Eng. a-Struct., 457 (2007) 292\u2013299.10.1016\/j.msea.2006.12.036","DOI":"10.1016\/j.msea.2006.12.036"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_037_w2aab3b7c56b1b6b1ab1b5c37Aa","doi-asserted-by":"crossref","unstructured":"S.H. Liu, M.R. Wen, Z. Li, et al., Mater. Des., 130 (2017) 157\u2013165.10.1016\/j.matdes.2017.05.032","DOI":"10.1016\/j.matdes.2017.05.032"},{"key":"2026053114164965960_j_htmp-2018-0120_ref_038_w2aab3b7c56b1b6b1ab1b5c38Aa","doi-asserted-by":"crossref","unstructured":"M. Enomoto, H. Harada and M. Yamazaki, Calphad, 15 (1991) 143\u2013158.10.1016\/0364-5916(91)90013-A","DOI":"10.1016\/0364-5916(91)90013-A"}],"container-title":["High Temperature Materials and Processes"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/htmp\/38\/2019\/article-p498.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/htmp-2018-0120\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/htmp-2018-0120\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,31]],"date-time":"2026-05-31T14:17:01Z","timestamp":1780237021000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/htmp-2018-0120\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,20]]},"references-count":38,"journal-issue":{"issue":"2019","published-online":{"date-parts":[[2018,12,20]]},"published-print":{"date-parts":[[2019,2,25]]}},"alternative-id":["10.1515\/htmp-2018-0120"],"URL":"https:\/\/doi.org\/10.1515\/htmp-2018-0120","relation":{},"ISSN":["2191-0324","0334-6455"],"issn-type":[{"value":"2191-0324","type":"electronic"},{"value":"0334-6455","type":"print"}],"subject":[],"published":{"date-parts":[[2018,12,20]]}}}