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Diffus."],"published-print":{"date-parts":[[2023,4]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Data on the equilibrium solubilities of the <jats:italic>\u03b1<\/jats:italic> Al-Li solid solution phase and the ordered metastable <jats:italic>\u03b4<\/jats:italic>\u2032 Al<jats:sub>3<\/jats:sub>Li (L1<jats:sub>2<\/jats:sub> crystal structure) precipitate phase are critically reviewed, and a new binary alloy phase diagram is proposed. The <jats:italic>\u03b4<\/jats:italic>\u2032 solvus, describing the equilibrium solubility of Li in the <jats:italic>\u03b1<\/jats:italic> phase, <jats:italic>X<\/jats:italic><jats:sub><jats:italic>\u03b1e<\/jats:italic><\/jats:sub>, in atom fraction Li, is given by the equation <jats:inline-formula><jats:alternatives><jats:tex-math>$$X_{\\alpha e} \\, = \\,0.{6}00{\\text{86 exp}}\\left\\{ {{-}{8669}.{55}\/{\\text{R}}T} \\right\\},$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>X<\/mml:mi>\n                      <mml:mrow>\n                        <mml:mi>\u03b1<\/mml:mi>\n                        <mml:mi>e<\/mml:mi>\n                      <\/mml:mrow>\n                    <\/mml:msub>\n                    <mml:mspace\/>\n                    <mml:mo>=<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>0.600<\/mml:mn>\n                    <mml:mrow>\n                      <mml:mtext>86 exp<\/mml:mtext>\n                    <\/mml:mrow>\n                    <mml:mfenced>\n                      <mml:mrow>\n                        <mml:mo>-<\/mml:mo>\n                        <mml:mn>8669.55<\/mml:mn>\n                        <mml:mo>\/<\/mml:mo>\n                        <mml:mtext>R<\/mml:mtext>\n                        <mml:mi>T<\/mml:mi>\n                      <\/mml:mrow>\n                    <\/mml:mfenced>\n                    <mml:mo>,<\/mml:mo>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> where R is the gas constant, and the temperature <jats:italic>T<\/jats:italic> is in K. The <jats:italic>\u03b1<\/jats:italic> solvus, i.e. the equilibrium solubility of Li in the <jats:italic>\u03b4<\/jats:italic>\u2032 phase, <jats:italic>X<\/jats:italic><jats:sub><jats:italic>\u03b4\u2032e<\/jats:italic><\/jats:sub>, is given by the equation <jats:inline-formula><jats:alternatives><jats:tex-math>$$X_{\\delta \\prime e} \\, = \\,0.{18}0{9}\\, + \\,{6}.{413}\\, \\times \\,{1}0^{{{-}{4}}} {{T}}{-}{1}.{861}\\, \\times \\,{1}0^{{{-}{6}}} T^{{2}} \\, + \\,{1}.{4684}\\, \\times \\,{1}0^{{{-}{9}}} T^{{3}} ,$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msub>\n                      <mml:mi>X<\/mml:mi>\n                      <mml:mrow>\n                        <mml:mi>\u03b4<\/mml:mi>\n                        <mml:mo>\u2032<\/mml:mo>\n                        <mml:mi>e<\/mml:mi>\n                      <\/mml:mrow>\n                    <\/mml:msub>\n                    <mml:mspace\/>\n                    <mml:mo>=<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>0.1809<\/mml:mn>\n                    <mml:mspace\/>\n                    <mml:mo>+<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>6.413<\/mml:mn>\n                    <mml:mspace\/>\n                    <mml:mo>\u00d7<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>1<\/mml:mn>\n                    <mml:msup>\n                      <mml:mn>0<\/mml:mn>\n                      <mml:mrow>\n                        <mml:mo>-<\/mml:mo>\n                        <mml:mn>4<\/mml:mn>\n                      <\/mml:mrow>\n                    <\/mml:msup>\n                    <mml:mi>T<\/mml:mi>\n                    <mml:mo>-<\/mml:mo>\n                    <mml:mn>1.861<\/mml:mn>\n                    <mml:mspace\/>\n                    <mml:mo>\u00d7<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>1<\/mml:mn>\n                    <mml:msup>\n                      <mml:mn>0<\/mml:mn>\n                      <mml:mrow>\n                        <mml:mo>-<\/mml:mo>\n                        <mml:mn>6<\/mml:mn>\n                      <\/mml:mrow>\n                    <\/mml:msup>\n                    <mml:msup>\n                      <mml:mi>T<\/mml:mi>\n                      <mml:mn>2<\/mml:mn>\n                    <\/mml:msup>\n                    <mml:mspace\/>\n                    <mml:mo>+<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>1.4684<\/mml:mn>\n                    <mml:mspace\/>\n                    <mml:mo>\u00d7<\/mml:mo>\n                    <mml:mspace\/>\n                    <mml:mn>1<\/mml:mn>\n                    <mml:msup>\n                      <mml:mn>0<\/mml:mn>\n                      <mml:mrow>\n                        <mml:mo>-<\/mml:mo>\n                        <mml:mn>9<\/mml:mn>\n                      <\/mml:mrow>\n                    <\/mml:msup>\n                    <mml:msup>\n                      <mml:mi>T<\/mml:mi>\n                      <mml:mn>3<\/mml:mn>\n                    <\/mml:msup>\n                    <mml:mo>,<\/mml:mo>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> which represents a compromise between previously published theoretical curves that predict retrograde behavior. It is emphasized that that all the data cited and re-analyzed exclusively involve binary Al-Li alloys. The new phase diagram eliminates data that were previously mis-attributed. Most importantly, it is informed by considerable re-analysis of previously published data, supplemented by the inclusion of data that were not previously considered, and eschews data on both <jats:italic>X<\/jats:italic><jats:sub><jats:italic>\u03b1e<\/jats:italic><\/jats:sub> and <jats:italic>X<\/jats:italic><jats:sub><jats:italic>\u03b4\u2032e<\/jats:italic><\/jats:sub> that are indubitably non-equilibrium in nature.<\/jats:p>","DOI":"10.1007\/s11669-023-01039-x","type":"journal-article","created":{"date-parts":[[2023,6,3]],"date-time":"2023-06-03T18:01:25Z","timestamp":1685815285000},"page":"255-268","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["The Equilibrium \u03b1 (Al-Li Solid Solution) and Metastable \u03b4\u2032 (Al3Li) Phase Boundaries in Aluminum\u2013Lithium Alloys"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5108-4118","authenticated-orcid":false,"given":"Alan J.","family":"Ardell","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,6,3]]},"reference":[{"key":"1039_CR1","doi-asserted-by":"publisher","first-page":"3325","DOI":"10.1007\/s11661-012-1155-z","volume":"43","author":"RJ Rioja","year":"2012","unstructured":"R.J. 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