Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Calculation of Stacking Fault Energy by Use of Long-Range Interionic Potential. II. Asymptotic Expansion for Interplanar Interaction
Akira Sugiyama
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1985 年 54 巻 10 号 p. 3771-3784

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Following the preceding paper I, the formation energy of an intrinsic stacking fault, γSF, in an fcc metal is calculated as a function of the electron-atom ratio, (ea), in a range from 0.9 to 4.1 for the interionic potentials of the forms VPsincos (2kFr)⁄(2kFr)m with m=3, 4 and 5. In the calculation, the interplanar interactions are asymptotically expanded to the third order. The asymptotic expressions show that the Blandin-Friedel-Saada anomaly at (ea)≈1.140 is derived only from the expansion of the first order, and that the anomaly vanishes when we expand the asymptotic expressions to higher orders. Good accuracy in the calculation is confirmed by comparison of the binding energies of fcc and hcp lattices calculated from the interplanar interactions by the use of the Ewald-Fuchs method. Analytic expressions are given for the lattice sums appearing in the calculation of γSF.
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