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<p>Reproducible irrational ORs and irrational interfaces in many systems have been explained with the Δ<b>g</b> parallelism rules. Recent study of a Mg/Mg<sub>2</sub>Sn system has found that three irrational orientation relationships (ORs) between Mg<sub>2</sub>Sn (fcc, <i>β</i>) precipitates and Mg matrix (hcp, <i>α</i>), i.e., OR8a~c, exhibit discrete rotation angles between (01-1)<sub><i>β</i></sub> and (0001)<sub><i>α</i></sub>. The side facet of the precipitate corresponding to each of the ORs is normal to <b>Δg</b> (= <b>g</b>(02-2)<sub><i>β</i></sub> − <b>g</b>(0002)<sub><i>α</i></sub>) in an irrational orientation, but it cannot be explained with the Δ<b>g</b> parallelism rules. In this work, an O-Terrace method is proposed. Any irrational interface must contain a ledge-terrace structure. An O-Terrace structure requires that the O-lattice elements coincide with each terrace of the irrational interface. The calculated results with the O-Terrace method applied to Mg/Mg<sub>2</sub>Sn system are fully consistent with the observation of the ORs and the orientations of the side facets for OR8a~c. This method is applicable to other precipitation systems for explaining or predicting the variation of irrational ORs and precipitate’s morphology.</p>

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O-Terrace method to predict irrational interfaces and orientation relationships

  • 期刊论文

  • 发表日期：

    2025年7月30日

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  • Zi-Lin Li,
  • Zhang-Zhi Shi,
  • Xin-Fu Gu,
  • Wen-Zheng Zhang

摘要

Reproducible irrational ORs and irrational interfaces in many systems have been explained with the Δg parallelism rules. Recent study of a Mg/Mg2Sn system has found that three irrational orientation relationships (ORs) between Mg2Sn (fcc, β) precipitates and Mg matrix (hcp, α), i.e., OR8a~c, exhibit discrete rotation angles between (01-1)β and (0001)α. The side facet of the precipitate corresponding to each of the ORs is normal to Δg (= g(02-2)β − g(0002)α) in an irrational orientation, but it cannot be explained with the Δg parallelism rules. In this work, an O-Terrace method is proposed. Any irrational interface must contain a ledge-terrace structure. An O-Terrace structure requires that the O-lattice elements coincide with each terrace of the irrational interface. The calculated results with the O-Terrace method applied to Mg/Mg2Sn system are fully consistent with the observation of the ORs and the orientations of the side facets for OR8a~c. This method is applicable to other precipitation systems for explaining or predicting the variation of irrational ORs and precipitate’s morphology.