Evaluation of Driving Force and Mobility for Diffusion Induced Grain Boundary Migration in Ni(Cu) System

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著者

    • KAJIHARA Masanori
    • Tokyo Institute of Technology, Nagatsuta, Department of Materials Science and Engineering, Tokyo Institute of Technology

抄録

The kinetics of diffusion induced grain boundary migration (DIGM) in the Ni(Cu) system was experimentally studied by Liu <I>et al</I>. using polycrystalline Cu/Ni/Cu diffusion couples annealed at 888 K for various times between 4.8×10<sup>2</sup> and 9.36×10<sup>4</sup>s. The notation Ni(Cu) means that Cu atoms diffuse into a pure Ni or binary Ni-Cu phase. Their experimental results have been quantitatively analyzed using the energy balance model proposed by Kajihara and Gust. The face-centered-cubic (f.c.c.) solution phase in the binary Ni-Cu system is assumed to be elastically isotropic. The molar Gibbs energy of the f.c.c. phase is expressed by a subregular solution model. The migration rate <I>v</I> of the moving grain boundary is described as a function of the reaction time <I>t</I> by the equation <I>v</I>=<I>k</I>(<I>t</I>/<I>t</I><sub>0</sub>)<sup><I>m</I></sup>. Here, <I>t</I><sub>0</sub> is unit time, 1 s. From these relationships, the effective driving force Δ<sup>ef</sup><I>G</I><sub>m</sub> for DIGM has been calculated as a function of the reaction time. Although Δ<sup>ef</sup><I>G</I><sub>m</sub> monotonically decreases with increasing reaction time from the maximum value of 184 J/mol to the minimum value of 8 J/mol, it is still large enough to drive the grain boundary migration against the curvature of the moving grain boundary even at late stages of the reaction. The mobility <I>M</I> of the moving grain boundary also monotonically decreases with increasing reaction time from 2×10<sup>-17</sup> m<sup>4</sup>/J s at 4.8×10<sup>2</sup>s to 2×10<sup>-18</sup> m<sup>4</sup>/J s at 9.36×10<sup>4</sup>s. However, considering the grain boundary energy contribution due to the curvature of the moving grain boundary, <I>M</I> is supposed to be almost constant during the reaction.

収録刊行物

  • ISIJ international

    ISIJ international 38(1), 86-92, 1998-01-15

    The Iron and Steel Institute of Japan

参考文献:  26件中 1-26件 を表示

  • <no title>

    den BROEDER F. J. A.

    Thin Solid Films 124, 135, 1985

    被引用文献3件

  • Metals/Materials Technology Series 8408-018

    SHEWMON P. G.

    Am. Soc. Metals 1, 1985

    被引用文献1件

  • <no title>

    HANDWERKER C. A.

    Diffusion Phenomena in Thin Films and Microelectronics Materials 254, 1987

    被引用文献1件

  • <no title>

    HILLERT M.

    Acta Metall. 26, 333, 1978

    被引用文献8件

  • <no title>

    LI Chongmo

    Acta Metall. 29, 1949, 1981

    被引用文献5件

  • <no title>

    HILLERT M.

    Scr. Metall. 17, 237, 1983

    被引用文献3件

  • <no title>

    FOURNELLE R. A.

    Mater. Sci. Eng. A138, 133, 1991

    被引用文献2件

  • <no title>

    KAJIHARA M.

    Acta Metall. Mater. 39, 2565, 1991

    被引用文献5件

  • <no title>

    HILLERT M.

    Metall. Trans. 3, 2729, 1972

    被引用文献1件

  • <no title>

    den BROEDER F. J. A.

    Scr. Metall. 17, 399, 1983

    被引用文献2件

  • <no title>

    LIU D. MILLER. W. A.

    Acta Metall. 37, 3367, 1989

    被引用文献1件

  • <no title>

    MA C. Y. and RABKIN E.

    Acta Metall. Mater. 43, 3113, 1995

    被引用文献1件

  • <no title>

    KAJIHARA M.

    Mater. Sci. Forum. 204-206, 279, 1996

    被引用文献1件

  • <no title>

    HILLERT M.

    Monograph and Report Series No. 33 231, 1969

    被引用文献1件

  • <no title>

    HILLERT M.

    Scand. J. Metall. 6, 211, 1977

    被引用文献1件

  • <no title>

    INDEN G.

    Proc. CALPHAD V 1, 1976

    被引用文献1件

  • <no title>

    CHEN F.-S.

    Acta Metall. 36, 2827, 1988

    被引用文献2件

  • TRITA-MAC 340

    JANSSON A.

    Royal Institute of Technology, 1987

    被引用文献1件

  • SGTE Data for Pure Elements

    DINSDALE A.

    NPL Report DMA(A) 195, 1989

    被引用文献1件

  • <no title>

    WEISS R. J.

    Solid State Physics for Metallurgists, 1963

    被引用文献1件

  • <no title>

    barrett c.. r.

    The Principles of Engineering Materials 197, 1973

    被引用文献2件

  • <no title>

    PEARSON W. B.

    A Handbook of Lattice Spacing and Structures of Metals and Alloys 592, 1958

    被引用文献2件

  • <no title>

    Metals Data Book 23, 1993

    被引用文献2件

  • <no title>

    MURR L. E.

    Interfacial Phenomena in Metals and Alloys 132, 1975

    被引用文献2件

  • <no title>

    PAN J. D.

    Acta Metall. 30, 861, 1982

    被引用文献2件

  • <no title>

    HILLERT M.

    Calphad 2, 227, 1978

    DOI 被引用文献38件

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