Lili Zhang*, Bing Gao, Hongxiang Jiang, Jiuzhou Zhao*, Lei Zhao and Jie He*,
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It is determined by the dependence of <i>I</i> chemical potential μ<sub><i>I</i></sub> on <i>x</i><sub><i>I</i></sub>, which is closely related to the interaction parameter <i>L</i><sub>A<i>I</i></sub> in the A-rich corner of the liquid A-<i>I</i> alloy. μ<sub><i>I</i></sub> increases with <i>x</i><sub><i>I</i></sub> monotonically when <i>L</i><sub>A<i>I</i></sub> < 2<i>R</i><sub>g</sub><i>T</i><sub>b,A–B</sub> (<i>T</i><sub>b,A–B</sub> is the binodal line temperature), and it shows a tendency with <i>x</i><sub><i>I</i></sub> of first increase and then decrease, followed by an increase when <i>L</i><sub>A<i>I</i></sub> ≥ 2<i>R</i><sub>g</sub><i>T</i><sub>b,A–B</sub>. The variation trends of γ<sub>L<sub>1</sub>/L<sub>2</sub></sub> and μ<sub><i>I</i></sub> with <i>x</i><sub><i>I</i></sub> are opposite for an element <i>I</i> segregated to the liquid/liquid interface and similar for an element <i>I</i> impoverished in the liquid/liquid interface.</p>","PeriodicalId":50,"journal":{"name":"Langmuir","volume":"41 23","pages":"15182–15189 15182–15189"},"PeriodicalIF":3.9000,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytical Model for Liquid/Liquid Interfacial Energy of Microalloyed Monotectic Alloys\",\"authors\":\"Lili Zhang*, Bing Gao, Hongxiang Jiang, Jiuzhou Zhao*, Lei Zhao and Jie He*, \",\"doi\":\"10.1021/acs.langmuir.5c0166610.1021/acs.langmuir.5c01666\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p >An analytical model is proposed for the calculation of the interfacial energy γ<sub>L<sub>1</sub>/L<sub>2</sub></sub> between an A-rich matrix liquid and B-rich droplets in an A–B monotectic alloy microalloyed by element <i>I</i>, based on the Gibbs absorption isotherm. 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引用次数: 0
摘要
基于吉布斯吸收等温线,提出了一种计算I元素微合金化A-B单晶合金中富a基体液体与富b液滴之间界面能γL1/L2的解析模型。该模型适用于微合金元素偏析到液/液界面或在界面中贫化的情况。凝固实验结果验证了模型的正确性。计算结果表明,γ - l1 /L2随I浓度的变化并不总是单调的。这是由I化学势μI对xI的依赖性决定的,它与液态A-I合金富a角的相互作用参数LAI密切相关。LAI <时μI随xI单调增加;2RgTb, a - b (Tb, a - b为双节线温度),LAI≥2RgTb, a - b时随xI呈先升高后降低的趋势,LAI≥2RgTb, a - b时呈先升高的趋势。γL1/L2和μI随xI的变化趋势对分离到液/液界面的元素I相反,对分离到液/液界面的元素I相似。
Analytical Model for Liquid/Liquid Interfacial Energy of Microalloyed Monotectic Alloys
An analytical model is proposed for the calculation of the interfacial energy γL1/L2 between an A-rich matrix liquid and B-rich droplets in an A–B monotectic alloy microalloyed by element I, based on the Gibbs absorption isotherm. The model is applicable to the microalloying element segregated to the liquid/liquid interface or impoverished in the interface. Solidification experimental results validated the model. Calculation results demonstrate that the variation of γL1/L2 with I concentration xI is not always monotonic. It is determined by the dependence of I chemical potential μI on xI, which is closely related to the interaction parameter LAI in the A-rich corner of the liquid A-I alloy. μI increases with xI monotonically when LAI < 2RgTb,A–B (Tb,A–B is the binodal line temperature), and it shows a tendency with xI of first increase and then decrease, followed by an increase when LAI ≥ 2RgTb,A–B. The variation trends of γL1/L2 and μI with xI are opposite for an element I segregated to the liquid/liquid interface and similar for an element I impoverished in the liquid/liquid interface.
期刊介绍:
Langmuir is an interdisciplinary journal publishing articles in the following subject categories:
Colloids: surfactants and self-assembly, dispersions, emulsions, foams
Interfaces: adsorption, reactions, films, forces
Biological Interfaces: biocolloids, biomolecular and biomimetic materials
Materials: nano- and mesostructured materials, polymers, gels, liquid crystals
Electrochemistry: interfacial charge transfer, charge transport, electrocatalysis, electrokinetic phenomena, bioelectrochemistry
Devices and Applications: sensors, fluidics, patterning, catalysis, photonic crystals
However, when high-impact, original work is submitted that does not fit within the above categories, decisions to accept or decline such papers will be based on one criteria: What Would Irving Do?
Langmuir ranks #2 in citations out of 136 journals in the category of Physical Chemistry with 113,157 total citations. The journal received an Impact Factor of 4.384*.
This journal is also indexed in the categories of Materials Science (ranked #1) and Multidisciplinary Chemistry (ranked #5).