Effect of Gibbs Free Energies of Terminal Alloys on the Diffusion Paths and Diffusion Depths in Couples Assembled with γ-Phase Fe-Ni-Cu Alloys at 1000 °C
A novel concept for diffusion couples based on iso-Gibbs free energy of mixing (iso- Δ G M ) is proposed, in which the two terminal alloys of the couple have the same Gibbs free energy of mixing. A few iso- Δ G M couples were assembled with FCC Fe-Ni-Cu alloys at 1000 °C. To enable the selection of...
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Veröffentlicht in: | Journal of phase equilibria and diffusion 2024, Vol.45 (2), p.175-184 |
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container_title | Journal of phase equilibria and diffusion |
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creator | Nayak, Susanta Kumar Samantaray, Biswarupa Kulkarni, Kaustubh N. |
description | A novel concept for diffusion couples based on iso-Gibbs free energy of mixing (iso-
Δ
G
M
) is proposed, in which the two terminal alloys of the couple have the same Gibbs free energy of mixing. A few iso-
Δ
G
M
couples were assembled with FCC Fe-Ni-Cu alloys at 1000 °C. To enable the selection of the terminal alloys for iso-
Δ
G
M
couples, iso-
Δ
G
M
lines were constructed from the data on the thermodynamic activities of the constituent elements in FCC Fe-Ni-Cu alloys at 1000 °C. A few couples were also studied whose composition vectors were at about 90°, less than 90° and greater than 90° to one of the iso-
Δ
G
M
couples. A strategy is also proposed and utilized to construct a near iso-Gibbs free energy (iso-
G
soln
) couple. All but one iso-
Δ
G
M
couples and also, the iso-
G
soln
couple were characterized by almost linear diffusion paths. All the iso-
Δ
G
M
couples presented very low diffusion depths characterized in terms of effective penetration depth (
x
¯
), with the iso-
G
soln
couple exhibiting the lowest values of
x
¯
. This experimental work clearly reveals the definite role played by the difference in Gibbs free energies of terminal alloys in dictating the diffusion paths and the relative diffusion depths in the diffusion couples. |
doi_str_mv | 10.1007/s11669-024-01101-2 |
format | Article |
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Δ
G
M
) is proposed, in which the two terminal alloys of the couple have the same Gibbs free energy of mixing. A few iso-
Δ
G
M
couples were assembled with FCC Fe-Ni-Cu alloys at 1000 °C. To enable the selection of the terminal alloys for iso-
Δ
G
M
couples, iso-
Δ
G
M
lines were constructed from the data on the thermodynamic activities of the constituent elements in FCC Fe-Ni-Cu alloys at 1000 °C. A few couples were also studied whose composition vectors were at about 90°, less than 90° and greater than 90° to one of the iso-
Δ
G
M
couples. A strategy is also proposed and utilized to construct a near iso-Gibbs free energy (iso-
G
soln
) couple. All but one iso-
Δ
G
M
couples and also, the iso-
G
soln
couple were characterized by almost linear diffusion paths. All the iso-
Δ
G
M
couples presented very low diffusion depths characterized in terms of effective penetration depth (
x
¯
), with the iso-
G
soln
couple exhibiting the lowest values of
x
¯
. This experimental work clearly reveals the definite role played by the difference in Gibbs free energies of terminal alloys in dictating the diffusion paths and the relative diffusion depths in the diffusion couples.</description><identifier>ISSN: 1547-7037</identifier><identifier>EISSN: 1863-7345</identifier><identifier>EISSN: 1934-7243</identifier><identifier>DOI: 10.1007/s11669-024-01101-2</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Ceramics ; Composites ; Copper ; Crystallography and Scattering Methods ; Diffusion ; Engineering Thermodynamics ; Gibbs free energy ; Glass ; Heat and Mass Transfer ; Iron ; Metallic Materials ; Natural Materials ; Nickel base alloys ; Original Research Article ; Penetration depth ; Physics ; Physics and Astronomy ; Thermodynamics</subject><ispartof>Journal of phase equilibria and diffusion, 2024, Vol.45 (2), p.175-184</ispartof><rights>ASM International 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1852-9caba2f3783644778cbcb9cc303a6e4da6355f39babd8d4ceb7ada585c7f9f493</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11669-024-01101-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11669-024-01101-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Nayak, Susanta Kumar</creatorcontrib><creatorcontrib>Samantaray, Biswarupa</creatorcontrib><creatorcontrib>Kulkarni, Kaustubh N.</creatorcontrib><title>Effect of Gibbs Free Energies of Terminal Alloys on the Diffusion Paths and Diffusion Depths in Couples Assembled with γ-Phase Fe-Ni-Cu Alloys at 1000 °C</title><title>Journal of phase equilibria and diffusion</title><addtitle>J. Phase Equilib. Diffus</addtitle><description>A novel concept for diffusion couples based on iso-Gibbs free energy of mixing (iso-
Δ
G
M
) is proposed, in which the two terminal alloys of the couple have the same Gibbs free energy of mixing. A few iso-
Δ
G
M
couples were assembled with FCC Fe-Ni-Cu alloys at 1000 °C. To enable the selection of the terminal alloys for iso-
Δ
G
M
couples, iso-
Δ
G
M
lines were constructed from the data on the thermodynamic activities of the constituent elements in FCC Fe-Ni-Cu alloys at 1000 °C. A few couples were also studied whose composition vectors were at about 90°, less than 90° and greater than 90° to one of the iso-
Δ
G
M
couples. A strategy is also proposed and utilized to construct a near iso-Gibbs free energy (iso-
G
soln
) couple. All but one iso-
Δ
G
M
couples and also, the iso-
G
soln
couple were characterized by almost linear diffusion paths. All the iso-
Δ
G
M
couples presented very low diffusion depths characterized in terms of effective penetration depth (
x
¯
), with the iso-
G
soln
couple exhibiting the lowest values of
x
¯
. This experimental work clearly reveals the definite role played by the difference in Gibbs free energies of terminal alloys in dictating the diffusion paths and the relative diffusion depths in the diffusion couples.</description><subject>Ceramics</subject><subject>Composites</subject><subject>Copper</subject><subject>Crystallography and Scattering Methods</subject><subject>Diffusion</subject><subject>Engineering Thermodynamics</subject><subject>Gibbs free energy</subject><subject>Glass</subject><subject>Heat and Mass Transfer</subject><subject>Iron</subject><subject>Metallic Materials</subject><subject>Natural Materials</subject><subject>Nickel base alloys</subject><subject>Original Research Article</subject><subject>Penetration depth</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Thermodynamics</subject><issn>1547-7037</issn><issn>1863-7345</issn><issn>1934-7243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kU1OwzAQhSMEEr8XYGWJtcGOkzheVqEtSBWwgLVlO-PWKE2KnQhxFxYcAYkbcADOhEtBsGI1M0_vfdLoJckxJaeUEH4WKC0KgUmaYUIpoTjdSvZoWTDMWZZvxz3POOaE8d1kP4R7QlLBy2IveR5bC6ZHnUVTp3VAEw-Axi34uYOwlm_BL12rGjRqmu4pSi3qF4DOnbVDcPG6Uf0iINXWf7RzWK1F16KqG1ZNJI1CgKVuoEaPrl-gjzd8s1AB0ATwlcPV8INXPYofkfeX99fqMNmxqglw9D0PkrvJ-La6wLPr6WU1mmFDyzzFwiitUst4yYos47w02mhhDCNMFZDVqmB5bpnQStdlnRnQXNUqL3PDrbCZYAfJyYa78t3DAKGX993g489BRoZgOeeiiK504zK-C8GDlSvvlso_SUrkugW5aUHGFuRXCzKNIbYJhWhu5-B_0f-kPgHPiIyG</recordid><startdate>2024</startdate><enddate>2024</enddate><creator>Nayak, Susanta Kumar</creator><creator>Samantaray, Biswarupa</creator><creator>Kulkarni, Kaustubh N.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope><scope>U9A</scope></search><sort><creationdate>2024</creationdate><title>Effect of Gibbs Free Energies of Terminal Alloys on the Diffusion Paths and Diffusion Depths in Couples Assembled with γ-Phase Fe-Ni-Cu Alloys at 1000 °C</title><author>Nayak, Susanta Kumar ; Samantaray, Biswarupa ; Kulkarni, Kaustubh N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1852-9caba2f3783644778cbcb9cc303a6e4da6355f39babd8d4ceb7ada585c7f9f493</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Ceramics</topic><topic>Composites</topic><topic>Copper</topic><topic>Crystallography and Scattering Methods</topic><topic>Diffusion</topic><topic>Engineering Thermodynamics</topic><topic>Gibbs free energy</topic><topic>Glass</topic><topic>Heat and Mass Transfer</topic><topic>Iron</topic><topic>Metallic Materials</topic><topic>Natural Materials</topic><topic>Nickel base alloys</topic><topic>Original Research Article</topic><topic>Penetration depth</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nayak, Susanta Kumar</creatorcontrib><creatorcontrib>Samantaray, Biswarupa</creatorcontrib><creatorcontrib>Kulkarni, Kaustubh N.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of phase equilibria and diffusion</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nayak, Susanta Kumar</au><au>Samantaray, Biswarupa</au><au>Kulkarni, Kaustubh N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effect of Gibbs Free Energies of Terminal Alloys on the Diffusion Paths and Diffusion Depths in Couples Assembled with γ-Phase Fe-Ni-Cu Alloys at 1000 °C</atitle><jtitle>Journal of phase equilibria and diffusion</jtitle><stitle>J. Phase Equilib. Diffus</stitle><date>2024</date><risdate>2024</risdate><volume>45</volume><issue>2</issue><spage>175</spage><epage>184</epage><pages>175-184</pages><issn>1547-7037</issn><eissn>1863-7345</eissn><eissn>1934-7243</eissn><abstract>A novel concept for diffusion couples based on iso-Gibbs free energy of mixing (iso-
Δ
G
M
) is proposed, in which the two terminal alloys of the couple have the same Gibbs free energy of mixing. A few iso-
Δ
G
M
couples were assembled with FCC Fe-Ni-Cu alloys at 1000 °C. To enable the selection of the terminal alloys for iso-
Δ
G
M
couples, iso-
Δ
G
M
lines were constructed from the data on the thermodynamic activities of the constituent elements in FCC Fe-Ni-Cu alloys at 1000 °C. A few couples were also studied whose composition vectors were at about 90°, less than 90° and greater than 90° to one of the iso-
Δ
G
M
couples. A strategy is also proposed and utilized to construct a near iso-Gibbs free energy (iso-
G
soln
) couple. All but one iso-
Δ
G
M
couples and also, the iso-
G
soln
couple were characterized by almost linear diffusion paths. All the iso-
Δ
G
M
couples presented very low diffusion depths characterized in terms of effective penetration depth (
x
¯
), with the iso-
G
soln
couple exhibiting the lowest values of
x
¯
. This experimental work clearly reveals the definite role played by the difference in Gibbs free energies of terminal alloys in dictating the diffusion paths and the relative diffusion depths in the diffusion couples.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11669-024-01101-2</doi><tpages>10</tpages></addata></record> |
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subjects | Ceramics Composites Copper Crystallography and Scattering Methods Diffusion Engineering Thermodynamics Gibbs free energy Glass Heat and Mass Transfer Iron Metallic Materials Natural Materials Nickel base alloys Original Research Article Penetration depth Physics Physics and Astronomy Thermodynamics |
title | Effect of Gibbs Free Energies of Terminal Alloys on the Diffusion Paths and Diffusion Depths in Couples Assembled with γ-Phase Fe-Ni-Cu Alloys at 1000 °C |
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