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Philosophical Magazine Volume 93, 2013 - Issue 18
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Part A: Materials Science

A pseudobinary approach to study interdiffusion and the Kirkendall effect in multicomponent systems

Aloke Paul Department of Materials Engineering, Indian Institute of Science, Bangalore, IndiaCorrespondence[email protected]
Pages 2297-2315 | Received 25 Jun 2012, Accepted 19 Jan 2013, Published online: 20 Feb 2013

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Hemanth Kumar, Neelamegan Esakkiraja, Anuj Dash, Aloke Paul & Saswata Bhattacharyya. (2023) Utilising physics-informed neural networks for optimisation of diffusion coefficients in pseudo-binary diffusion couples. Philosophical Magazine 103:18, pages 1717-1737.
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Neelamegan Esakkiraja, Keerti Pandey, Anuj Dash & Aloke Paul. (2019) Pseudo-binary and pseudo-ternary diffusion couple methods for estimation of the diffusion coefficients in multicomponent systems and high entropy alloys. Philosophical Magazine 99:18, pages 2236-2264.
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Perumalsamy Kiruthika & Aloke Paul. (2015) A pseudo-binary interdiffusion study in the β-Ni(Pt)Al phase. Philosophical Magazine Letters 95:3, pages 138-144.
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Weimin Chen, Lijun Zhang, Yong Du & Baiyun Huang. (2014) Viscosity and diffusivity in melts: from unary to multicomponent systems. Philosophical Magazine 94:14, pages 1552-1577.
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Soumitra Roy, Sergiy V. Divinski & Aloke Paul. (2014) Reactive diffusion in the Ti–Si system and the significance of the parabolic growth constant. Philosophical Magazine 94:7, pages 683-699.
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Articles from other publishers (59)

Anuj Dash, Saswata Bhattacharyya & Aloke Paul. (2023) Concepts for estimating all types of diffusion coefficients of NiCoFeCr multi-principal element alloys using two dissimilar or a combination of ideal and non-ideal pseudo-ternary diffusion couples. Scripta Materialia 237, pages 115719.
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Anuj Dash, Saswata Bhattacharyya & Aloke Paul. (2023) Estimation of diffusion coefficients in NiCoFeCrAl multi-principal element alloy following an inventive design strategy of diffusion couples. Acta Materialia 260, pages 119296.
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Vivek Verma & Kaustubh N. Kulkarni. (2022) Square Root Diffusivity Analysis of Body-Diagonal Diffusion Couples in FeNiCoCr Quaternary and FeNiCoCrMn Quinary Systems. Journal of Phase Equilibria and Diffusion 43:6, pages 903-915.
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Anuj Dash & Aloke Paul. (2022) Estimation of Tracer and Intrinsic Diffusion Coefficients from Body Diagonal Diffusion Couples in a Multi-Principal Element Alloy. Journal of Phase Equilibria and Diffusion 43:6, pages 792-802.
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Anuj Dash & Aloke Paul. (2022) Estimation of Diffusion Coefficients by Intersecting Different Types of Diffusion Paths in a Multi-Principal Element Alloy. Acta Materialia, pages 118547.
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Songyou Lian, Antonie Fourie, Jiangyong Wang, Hendrik C. Swart & Jacobus J. Terblans. (2022) Effects of sputtering induced artifacts on the determination of diffusion coefficient: Application to Ni/Cu system. Vacuum 202, pages 111206.
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Anuj DashAloke PaulSandipan Sen, Sergiy Divinski, Julia Kundin, Ingo Steinbach, Blazej Grabowski & Xi Zhang. (2022) Recent Advances in Understanding Diffusion in Multiprincipal Element Systems. Annual Review of Materials Research 52:1, pages 383-409.
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Chao Wei, Heng Gu, Yuchen Gu, Luchao Liu, Yihe Huang, Dongxu Cheng, Zhaoqing Li & Lin Li. (2022) Abnormal interfacial bonding mechanisms of multi-material additive-manufactured tungsten–stainless steel sandwich structure. International Journal of Extreme Manufacturing 4:2, pages 025002.
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Hemanth Kumar, Anuj Dash, Aloke Paul & Saswata Bhattacharyya. (2022) A physics-informed neural network-based numerical inverse method for optimization of diffusion coefficients in NiCoFeCr multi principal element alloy. Scripta Materialia 214, pages 114639.
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Fabio Da Costa Garcia Filho, Robert O. Ritchie, Marc André Meyers & Sergio Neves Monteiro. (2022) Cantor-derived medium-entropy alloys: bridging the gap between traditional metallic and high-entropy alloys. Journal of Materials Research and Technology 17, pages 1868-1895.
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Sergiy V. Divinski, Olga A. Lukianova, Gerhard Wilde, Anuj Dash, Neelamegan Esakkiraja & Aloke Paul. 2022. Encyclopedia of Materials: Metals and Alloys. Encyclopedia of Materials: Metals and Alloys 402 416 .
Ting Cheng, Jing Zhong & Lijun Zhang. (2021) An Effective Strategy to Maintain the CALPHAD Atomic Mobility Database of Multicomponent Systems and Its Application to Hcp Mg–Al–Zn–Sn Alloys. Materials 15:1, pages 283.
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Yang Wu, Liangliang Wei, Wenting He & Hongbo Guo. (2021) On the interdiffusion and precipitation of topologically close-packed phases in (Ni,Pt)Al coating/superalloy system: Effects of Pt and Ni contents in coating. Vacuum 193, pages 110527.
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Neelamegan Esakkiraja, Anuj Dash, Avik Mondal, K.C. Hari Kumar & Aloke Paul. (2021) Correlation between estimated diffusion coefficients from different types of diffusion couples in multicomponent system. Materialia 16, pages 101046.
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Mohammad Afikuzzaman, Irina V. Belova & Graeme E. Murch. (2021) Novel Interdiffusion Analysis in Multicomponent Alloys - Part 1: Application to Ternary Alloys. Diffusion Foundations 29, pages 161-177.
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Jing Zhong, Li Chen & Lijun Zhang. (2021) Automation of diffusion database development in multicomponent alloys from large number of experimental composition profiles. npj Computational Materials 7:1.
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Yi Qin, Akil Narayan, Kaiming Cheng & Peng Wang. (2021) An efficient method of calculating composition-dependent inter-diffusion coefficients based on compressed sensing method. Computational Materials Science 188, pages 110145.
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G.M. Muralikrishna, B. Tas, N. Esakkiraja, V.A. Esin, K.C. Hari Kumar, I.S. Golovin, I.V. Belova, G.E. Murch, A. Paul & S.V. Divinski. (2021) Composition dependence of tracer diffusion coefficients in Fe–Ga alloys: A case study by a tracer-diffusion couple method. Acta Materialia 203, pages 116446.
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Cheng-Hui Xia, Shi-Lin Xia, Ying Li & Xiao-Gang Lu. (2020) Evaluating atomic mobility and interdiffusivity based on two-dimensional diffusion simulations and diffusion triple experiments. Scripta Materialia 188, pages 124-129.
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G. Mohan Muralikrishna, Vladimir A. Esin, Kaustubh N. Kulkarni, B.S. Murty, Gerhard Wilde & Sergiy V. Divinski. (2020) Atomic transport in B2-ordered Al(Fe,Ni) alloys: Tracer-interdiffusion couple approach. Intermetallics 126, pages 106920.
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Neelamegan Esakkiraja, Ankit Gupta, Vikram Jayaram, Tilmann Hickel, Sergiy V. Divinski & Aloke Paul. (2020) Diffusion, defects and understanding the growth of a multicomponent interdiffusion zone between Pt-modified B2 NiAl bond coat and single crystal superalloy. Acta Materialia 195, pages 35-49.
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Jing Zhong, Li Chen & Lijun Zhang. (2020) High-throughput determination of high-quality interdiffusion coefficients in metallic solids: a review. Journal of Materials Science 55:24, pages 10303-10338.
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Jing Zhong, Lijun Zhang, Xiaoke Wu, Li Chen & Chunming Deng. (2020) A novel computational framework for establishment of atomic mobility database directly from composition profiles and its uncertainty quantification. Journal of Materials Science & Technology 48, pages 163-174.
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Anuj Dash, Neelamegan Esakkiraja & Aloke Paul. (2020) Solving the issues of multicomponent diffusion in an equiatomic NiCoFeCr medium entropy alloy. Acta Materialia 193, pages 163-171.
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Xiaoke Wu, Jing Zhong & Lijun Zhang. (2020) A general approach to quantify the uncertainty of interdiffusion coefficients in binary, ternary and multicomponent systems evaluated using Matano-based methods. Acta Materialia 188, pages 665-676.
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Juliusz Dąbrowa & Marek Danielewski. (2020) State-of-the-Art Diffusion Studies in the High Entropy Alloys. Metals 10:3, pages 347.
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Vivek Verma, Aparna Tripathi, Thiruvenkatam Venkateswaran & Kaustubh N. Kulkarni. (2020) First report on entire sets of experimentally determined interdiffusion coefficients in quaternary and quinary high-entropy alloys. Journal of Materials Research 35:2, pages 162-171.
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Irina V. Belova & Graeme E. Murch. (2019) Comments on “Experimental assessment of the thermodynamic factor for diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys”. Scripta Materialia 172, pages 110-112.
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Huixia Xu, Kaiming Cheng, Jing Zhong, Xiaoke Wu, Ming Wei & Lijun Zhang. (2019) Determination of accurate interdiffusion coefficients in fcc Ag-In and Ag-Cu-In alloys: A comparative study on the Matano method with distribution function and the numerical inverse method with HitDIC. Journal of Alloys and Compounds 798, pages 26-34.
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Daria Serafin, Wojciech J. Nowak & Bartek Wierzba. (2019) The calculation of the diffusion coefficients in ternary multiphase Ti-NiAl system. Computational Materials Science 165, pages 1-6.
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Daniel Gaertner, Katrin Abrahams, Josua Kottke, Vladimir A. Esin, Ingo Steinbach, Gerhard Wilde & Sergiy V. Divinski. (2019) Concentration-dependent atomic mobilities in FCC CoCrFeMnNi high-entropy alloys. Acta Materialia 166, pages 357-370.
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Daniel Gaertner, Josua Kottke, Gerhard Wilde, Sergiy V. Divinski & Yury Chumlyakov. (2018) Tracer diffusion in single crystalline CoCrFeNi and CoCrFeMnNi high entropy alloys. Journal of Materials Research 33:19, pages 3184-3191.
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Jian Chen, Xueyang Zhou, Weili Wang, Bing Liu, Yukun Lv, Wei Yang, Dapeng Xu & Yong Liu. (2018) A review on fundamental of high entropy alloys with promising high–temperature properties. Journal of Alloys and Compounds 760, pages 15-30.
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Sergiy V. Divinski, Alexander V. Pokoev, Neelamegan Esakkiraja & Aloke Paul. (2018) A Mystery of "Sluggish Diffusion" in High-Entropy Alloys: The Truth or a Myth?. Diffusion Foundations 17, pages 69-104.
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Dezső L. Beke & Gábor Erdélyi. (2018) On the Self - and Impurity Diffusion in High Entropy Alloys. Diffusion Foundations 17, pages 105-114.
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Tumpa R. Paul, Irina V. Belova & Graeme E. Murch. (2018) Analysis of diffusion in high entropy alloys. Materials Chemistry and Physics 210, pages 301-308.
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Neelamegan Esakkiraja & Aloke Paul. (2018) A novel concept of pseudo ternary diffusion couple for the estimation of diffusion coefficients in multicomponent systems. Scripta Materialia 147, pages 79-82.
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Jing Zhong, Weimin Chen & Lijun Zhang. (2018) HitDIC: A free-accessible code for high-throughput determination of interdiffusion coefficients in single solution phase. Calphad 60, pages 177-190.
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Bengü Tas Kavakbasi, Igor S. Golovin, Aloke Paul & Sergiy V. Divinski. (2018) On the Analysis of Composition Profiles in Binary Single-Phase Diffusion Couples: Systems with a Strong Compositional Dependence of the Interdiffusion Coefficient. Defect and Diffusion Forum 383, pages 23-30.
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Kaiming Cheng, Jixue Zhou, Huixia Xu, Shouqiu Tang & Yuansheng Yang. (2018) An effective method to calculate the composition-dependent interdiffusivity with one diffusion couple. Computational Materials Science 143, pages 182-188.
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Kaustubh N. Kulkarni. (2017) Diffusion in B2 NiAl and FeAl Intermetallics and Their Alloys. Diffusion Foundations 13, pages 98-135.
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Aloke Paul. (2017) Diffusion-Controlled Growth and Microstructural Evolution of Aluminide Coatings on Superalloys and Steel. Diffusion Foundations 13, pages 167-195.
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Li Jun Zhang, Juan Chen, Wei Min Chen, Na Ta & Qin Li. (2017) Interdiffusion Databanks of γ, γ′ and β Phases in NiAl-Based Ternary Systems. Diffusion Foundations 13, pages 136-166.
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Dandan Liu, Dandan Huang, Shuhong Liu, Yong Du & Sergiy V. Divinski. (2017) Composition-dependent tracer diffusion coefficients in the B2 Ni–Al–Ti alloy via a combination of radiotracer and diffusion couple techniques. Journal of Alloys and Compounds 720, pages 332-339.
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Chuan Zhang, Fan Zhang, Ke Jin, Hongbin Bei, Shuanglin Chen, Weisheng Cao, Jun Zhu & Duchao Lv. (2017) Understanding of the Elemental Diffusion Behavior in Concentrated Solid Solution Alloys. Journal of Phase Equilibria and Diffusion 38:4, pages 434-444.
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Aloke Paul. (2017) Comments on “Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys” by K.Y. Tsai, M.H. Tsai and J.W. Yeh, Acta Materialia 61 (2013) 4887–4897. Scripta Materialia 135, pages 153-157.
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Shivam Tripathi, Vivek Verma, Tyson W. Brown & Kaustubh N. Kulkarni. (2017) Effect of Small Amount of Manganese on the Interdiffusivities in Fe-Al Alloys. Journal of Phase Equilibria and Diffusion 38:2, pages 135-142.
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J. Svoboda & F.D. Fischer. (2017) Incorporation of vacancy generation/annihilation into reactive diffusion concept – Prediction of possible Kirkendall porosity. Computational Materials Science 127, pages 136-140.
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L. Zhou, M.A. Dayananda & Y.H. Sohn. 2017. Handbook of Solid State Diffusion, Volume 1. Handbook of Solid State Diffusion, Volume 1 203 237 .
Aloke Paul. 2017. Handbook of Solid State Diffusion, Volume 1. Handbook of Solid State Diffusion, Volume 1 79 201 .
M. Vaidya, S. Trubel, B.S. Murty, G. Wilde & S.V. Divinski. (2016) Ni tracer diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys. Journal of Alloys and Compounds 688, pages 994-1001.
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Yuan Yuan, Dajian Li, Yuanyuan Guan, Hans J. Seifert & Nele Moelans. (2016) Investigation of the diffusion behavior in Sn-xAg-yCu/Cu solid state diffusion couples. Journal of Alloys and Compounds 686, pages 794-802.
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P. Kiruthika, S.K. Makineni, C. Srivastava, K. Chattopadhyay & A. Paul. (2016) Growth mechanism of the interdiffusion zone between platinum modified bond coats and single crystal superalloys. Acta Materialia 105, pages 438-448.
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Sangeeta Santra & Aloke Paul. (2015) Estimation of intrinsic diffusion coefficients in a pseudo-binary diffusion couple. Scripta Materialia 103, pages 18-21.
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Varun A. Baheti, Sangeeta Santra, Soumitra Roy, Kiruthika Perumalsamy, Soma Prasad, Raju Ravi & Aloke Paul. (2015) Phase evolutions, growth kinetics and diffusion parameters in the Co–Ni–Ta system. Journal of Alloys and Compounds 622, pages 1033-1040.
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J. Svoboda, J. Stopka & F.D. Fischer. (2014) Two-dimensional simulation of reactive diffusion in binary systems. Computational Materials Science 95, pages 309-315.
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Weimin Chen, Lijun Zhang, Yong Du, Chengying Tang & Baiyun Huang. (2014) A pragmatic method to determine the composition-dependent interdiffusivities in ternary systems by using a single diffusion couple. Scripta Materialia 90-91, pages 53-56.
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K. Cheng, W. Chen, D. Liu, L. Zhang & Y. Du. (2014) Analysis of the Cermak–Rothova method for determining the concentration dependence of ternary interdiffusion coefficients with a single diffusion couple. Scripta Materialia 76, pages 5-8.
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Aloke Paul, Tomi Laurila, Vesa Vuorinen & Sergiy V. DivinskiAloke Paul, Tomi Laurila, Vesa Vuorinen & Sergiy V. Divinski. 2014. Thermodynamics, Diffusion and the Kirkendall Effect in Solids. Thermodynamics, Diffusion and the Kirkendall Effect in Solids 387 428 .

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