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Philosophical Magazine A Volume 77, 1998 - Issue 5
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Original Articles

Theoretical and experimental investigations of structures and energies of Σ = 3, [112] tilt grain boundaries in copper

C. Schmidt Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174, Stuttgart, Germany; Départment d'Etudes du Comportement des Matériaux, Section de Recherches de Métallurgie Physique, Centre d'Etudes de Saclay, 91191, Gif sur Yvette, Cedex, France
,
M. W. Finnis Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174, Stuttgart, Germany; Atomistic Simulation Group, School of Mathematics and Physics, The Queen's University of Belfast, Belfast, BT7 INN, Northern Ireland
,
F. Ernst Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174, Stuttgart, Germany
&
V. Vitek Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174, Stuttgart, Germany; Department of Materials Science and Engineering, University of Pennsylvania., Philadelphia, PA, 19104-6272, USA
Pages 1161-1184 | Received 18 Jul 1997, Accepted 07 Sep 1997, Published online: 12 Aug 2009

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Fuhua Cao, Yong Jiang, Tao Hu & Dengfeng Yin. (2018) Correlation of grain boundary extra free volume with vacancy and solute segregation at grain boundaries: a case study for Al. Philosophical Magazine 98:6, pages 464-483.
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Roland Bonnet. (2017) Semi-coherent interfaces without length misfit accommodation in a lamellar Al–Al2Cu eutectic. Philosophical Magazine 97:33, pages 3055-3083.
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Christopher J. O’Brien & Stephen M. Foiles. (2016) Hydrogen segregation to inclined twin grain boundaries in nickel. Philosophical Magazine 96:26, pages 2808-2828.
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I. M. Mikhailovskij, N. Wanderka, V. A. Ksenofontov, T. I. Mazilova, E. V. Sadanov & A. A. Mazilov. (2007) The ω structure of the lateral twin boundary in tungsten. Philosophical Magazine Letters 87:10, pages 743-750.
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M. A. Tschopp & D. L. Mcdowell. (2007) Asymmetric tilt grain boundary structure and energy in copper and aluminium. Philosophical Magazine 87:25, pages 3871-3892.
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M. A. Tschopp & D. L. McDowell. (2007) Structures and energies of Σ 3 asymmetric tilt grain boundaries in copper and aluminium. Philosophical Magazine 87:22, pages 3147-3173.
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GeoffreyH. Campbell, Mukul Kumar, WayneE. King, James Belak, JohnA. Moriarty & StephenM. Foiles. (2002) The rigid-body displacement observed at the ∑ = 5, (310)-[001] symmetric tilt grain boundary in central transition bcc metals. Philosophical Magazine A 82:8, pages 1573-1594.
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Jiawei Tang, Yiren Wang, Yong Jiang, Jiangang Yao & Hao Zhang. (2022) Solute Segregation to Grain Boundaries in Al: A First-Principles Evaluation. Acta Metallurgica Sinica (English Letters) 35:9, pages 1572-1582.
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Jonathan J. Bean & Keith P. McKenna. (2016) Origin of differences in the excess volume of copper and nickel grain boundaries. Acta Materialia 110, pages 246-257.
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Satoru Hanyu, Hitoshi Nishimura, Katsuyuki Matsunaga, Takahisa Yamamoto, Yuichi Ikuhara & Taketo Sakuma. (2004) High Temperature Deformation Behavior of [0001] Symmetrical Tilt Σ7 and Σ21 Grain Boundaries in Alumina Bicrystals. MATERIALS TRANSACTIONS 45:7, pages 2122-2127.
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T. Radetic & U. Dahmen. (2020) Hrem Observation of the Relaxation of Grain Boundaries in Au At Their Intersection with Free Surfaces. Microscopy and Microanalysis 7:S2, pages 278-279.
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Y. Mishin, M. J. Mehl, D. A. Papaconstantopoulos, A. F. Voter & J. D. Kress. (2001) Structural stability and lattice defects in copper: Ab initio , tight-binding, and embedded-atom calculations . Physical Review B 63:22.
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C.J.D. Hetherington & U. Dahmen. (2020) HREM Analysis of ∑3 ﹛112﹜ Tilt Grain Boundaries in Au Bicrystals Observed in < 111 > Projection. Microscopy and Microanalysis 6:S2, pages 1044-1045.
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J.P Hirth. (2000) Some current topics in dislocation theory. Acta Materialia 48:1, pages 93-104.
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G.H. Campbell, J. Belak & J.A. Moriarty. (1999) Atomic structure of the Σ5 (310)/[001] symmetric tilt grain boundary in molybdenum. Acta Materialia 47:15-16, pages 3977-3985.
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L. G. Wang & M. Šob. (1999) Structural stability of higher-energy phases and its relation to the atomic configurations of extended defects: The example of Cu. Physical Review B 60:2, pages 844-850.
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