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Philosophical Magazine A Volume 48, 1983 - Issue 1
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Original Articles

Random walks and correlation factor in diffusion in a three-dimensional lattice with coordination number 8

Masahiro Koiwa The Research Institute for Iron, Steel and Other Metals, Tohoku University, Sendai, Japan
&
Shunya Ishioka The Research Institute for Iron, Steel and Other Metals, Tohoku University, Sendai, Japan
Pages 1-9 | Received 13 Dec 1982, Accepted 26 Jan 1983, Published online: 13 Sep 2006

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Dallas R. Trinkle. (2017) Automatic numerical evaluation of vacancy-mediated transport for arbitrary crystals: Onsager coefficients in the dilute limit using a Green function approach. Philosophical Magazine 97:28, pages 2514-2563.
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H. Numakura, T. Ikeda, M. Koiwa & A. Almazouzi. (1998) Self-diffusion mechanism in Ni-based L12 type intermetallic compounds. Philosophical Magazine A 77:4, pages 887-909.
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T. Ito, S. Ishioka & M. Koiwa. (1990) Correlation factor for diffusion via sublattice vacancy mechanism in the L12-type ordered alloy. Philosophical Magazine A 62:5, pages 499-510.
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GraemeE. Murch & JeppeC. Dyre. (1989) Correlation effects in ionic conductivity. Critical Reviews in Solid State and Materials Sciences 15:4, pages 345-365.
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Articles from other publishers (21)

Haiyu Luo, Wensheng Liu, Haoran Gong & Chaoping Liang. (2024) First principles calculation of composition dependence tracer and interdiffusion with phase change in γ/γ′ superalloy: A case study of Ir/Ir3Nb. Calphad 84, pages 102659.
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Y. Nosé, T. Ikeda, H. Nakajima & H. Numakura. (2022) Tracer diffusion in Pt 3 Fe ordered alloys . International Journal of Materials Research 95:10, pages 904-912.
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Zhixin Ren, Zhe Xue, Xinyu Zhang, Jiaqian Qin, Mingzhen Ma & Riping Liu. (2020) Atomic diffusion mediated by vacancy defects in L12-Zr3Al: A first-principles study. Journal of Alloys and Compounds 821, pages 153223.
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Tom Ichibha, Genki Prayogo, Kenta Hongo & Ryo Maezono. (2019) A new ab initio modeling scheme for the ion self-diffusion coefficient applied to the ε-Cu 3 Sn phase of the Cu–Sn alloy . Physical Chemistry Chemical Physics 21:9, pages 5158-5164.
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Alexander Kodentsov. (2017) Interdiffusion Studies in β- and γ′-Intermetallic Phases of the Binary Ni-Al System. Diffusion Foundations 13, pages 56-97.
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Min Sun, Zi Li, Guo-Zhen Zhu, Wen-Qing Liu, Shao-Hua Liu & Chong-Yu Wang. (2016) Diffusion in Ni-Based Single Crystal Superalloys with Density Functional Theory and Kinetic Monte Carlo Method. Communications in Computational Physics 20:3, pages 603-618.
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Min Sun & Chong-Yu Wang. (2016) First principles study of the diffusional phenomena across the clean and Re-doped γ -Ni/ γ ’-Ni 3 Al interface of Ni-based single crystal superalloy . Chinese Physics B 25:6, pages 067104.
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Helmut Mehrer. (2014) Self-Diffusion, Solute-Diffusion and Interdiffusion in Binary Intermetallics. Diffusion Foundations 2, pages 1-72.
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Gary S. Collins, Qiao Ming Wang & John P. Bevington. (2014) Impurity Diffusion in Highly-Ordered Intermetallic Compounds Studied by Nuclear Quadrupole Interactions. Diffusion Foundations 2, pages 95-105.
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Zoltan Balogh & Guido Schmitz. 2014. Physical Metallurgy. Physical Metallurgy 387 559 .
Helmut Mehrer. 2007. Diffusion in Solids. Diffusion in Solids 341 369 .
Y. Ma, J. Joshi & A. J. Ardell. 2005. Complex Inorganic Solids. Complex Inorganic Solids 3 10 .
Y. Nosé, T. Ikeda, H. Nakajima & H. Numakura. (2004) Tracer diffusion in Pt 3 Fe ordered alloys . Zeitschrift für Metallkunde 95:10, pages 904-912.
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C Cserháti, A Paul, A.A Kodentsov, M.J.H van Dal & F.J.J van Loo. (2003) Intrinsic diffusion in Ni3Al system. Intermetallics 11:4, pages 291-297.
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C. Cserháti, I.A. Szabó, Zs. Márton & G. Erdélyi. (2002) Tracer diffusion of 63Ni in Ni3(Al,Ge) ternary intermetallic compound. Intermetallics 10:9, pages 887-892.
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H. Numakura, T. Ikeda, H. Nakajima & M. Koiwa. (2001) Diffusion in Ni3Al, Ni3Ga and Ni3Ge. Materials Science and Engineering: A 312:1-2, pages 109-117.
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T. Ikeda, A. Almazouzi, H. Numakura, M. Koiwa, W. Sprengel & H. Nakajima. (1998) Single-phase interdiffusion in Ni3Al. Acta Materialia 46:15, pages 5369-5376.
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Masahiro Koiwa. (1998) Diffusion in Materials—History and Recent Developments. Materials Transactions, JIM 39:12, pages 1169-1179.
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T. IKEDA, A. Almazouzi, A. Funao, H. Numakura, M. Koiwa, Y. Shirai, K. Nonaka, W. Sprengel & H. Nakajima. (2011) Point Defects and Diffusion in Ni 3 Ga . MRS Proceedings 527.
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Jian Sun, Dongliang Lin & T.L. Lin. (1994) Theoretical and positron annihilation study of point defects in intermetallic compound Ni3Al. Acta Metallurgica et Materialia 42:1, pages 195-200.
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R. A. Tahir-Kheli. (1987) Monte Carlo evaluation of the diffusion correlation factor in concentrated lattices and comparison with an improved theory. Physical Review B 35:11, pages 5503-5508.
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