### Abstract

A model for the energy of a semicoherent interface between two crystal planes is presented. The interface is decomposed into coherent regions and defect regions, such that the defects compensate for the misfit between the two planes. The relaxed energy of the interface - the energy after separation into coherent and defect regions - is given by a weighted average of the energy of the individual regions. Thus, given any two crystal structures with arbitrary lattice parameters, one can find the planes and relative rotations that yield good-fitting, low energy interfaces. Calculations are performed by varying both the planes comprising the interface and the rotation between them, and computing the associated energy. Results for low energy habit planes in face centered cubic (FCC)/body centered cubic (BCC) systems match well with experimental data. The results also show that in many, but not all, cases, the optimal relative rotation between planes corresponds to an invariant line orientation.

Original language | English (US) |
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Pages (from-to) | 2539-2557 |

Number of pages | 19 |

Journal | Journal of the Mechanics and Physics of Solids |

Volume | 48 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 2000 |

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**Energy of semicoherent interfaces.** / Leo, Perry H; Schwartz, Michael H.

Research output: Contribution to journal › Article

*Journal of the Mechanics and Physics of Solids*, vol. 48, no. 12, pp. 2539-2557. https://doi.org/10.1016/S0022-5096(00)00017-X

}

TY - JOUR

T1 - Energy of semicoherent interfaces

AU - Leo, Perry H

AU - Schwartz, Michael H

PY - 2000/1/1

Y1 - 2000/1/1

N2 - A model for the energy of a semicoherent interface between two crystal planes is presented. The interface is decomposed into coherent regions and defect regions, such that the defects compensate for the misfit between the two planes. The relaxed energy of the interface - the energy after separation into coherent and defect regions - is given by a weighted average of the energy of the individual regions. Thus, given any two crystal structures with arbitrary lattice parameters, one can find the planes and relative rotations that yield good-fitting, low energy interfaces. Calculations are performed by varying both the planes comprising the interface and the rotation between them, and computing the associated energy. Results for low energy habit planes in face centered cubic (FCC)/body centered cubic (BCC) systems match well with experimental data. The results also show that in many, but not all, cases, the optimal relative rotation between planes corresponds to an invariant line orientation.

AB - A model for the energy of a semicoherent interface between two crystal planes is presented. The interface is decomposed into coherent regions and defect regions, such that the defects compensate for the misfit between the two planes. The relaxed energy of the interface - the energy after separation into coherent and defect regions - is given by a weighted average of the energy of the individual regions. Thus, given any two crystal structures with arbitrary lattice parameters, one can find the planes and relative rotations that yield good-fitting, low energy interfaces. Calculations are performed by varying both the planes comprising the interface and the rotation between them, and computing the associated energy. Results for low energy habit planes in face centered cubic (FCC)/body centered cubic (BCC) systems match well with experimental data. The results also show that in many, but not all, cases, the optimal relative rotation between planes corresponds to an invariant line orientation.

UR - http://www.scopus.com/inward/record.url?scp=0034559451&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034559451&partnerID=8YFLogxK

U2 - 10.1016/S0022-5096(00)00017-X

DO - 10.1016/S0022-5096(00)00017-X

M3 - Article

AN - SCOPUS:0034559451

VL - 48

SP - 2539

EP - 2557

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 12

ER -