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Geometrical Model of Polymorphous Transformations in Titanium and Zirconium

  • Structure and Polymorphic Transformations
  • Published:
Metal Science and Heat Treatment Aims and scope

Abstract

A geometrical model of transformation of a body-centered cubic lattice of α-phase into a hexagonal close-packed lattice of α-phase is developed with the aim of explaining the special features of the crystal geometry of formation of martensite phases in titanium and zirconium and in alloys based on them. The transformation is described as mutual reconstruction of coordination polyhedra of the cubic and hexagonal lattices through an intermediate configuration of the crystal structure of ω-phase. In the language of algebraic geometry the transition is implemented as reconstruction of an 11-atom cluster that represents a union of three octahedra around a common edge into an 11-atom cluster composed of 11 tetrahedra united over faces. Experimentally observed orientation relations and habit planes at α → ω and β → α transformations are describable by elements of the structure of the mentioned clusters.

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Authors and Affiliations

  1. N. E. Bauman Moscow State Technical University, Moscow, Russia

    V. S. Kraposhin, A. L. Talis & Wand Yanjin

  2. All-Russia Research Institute for Synthesis of Mineral Stock, Aleksandrov, Russia

    V. S. Kraposhin, A. L. Talis & Wand Yanjin

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  1. V. S. Kraposhin
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  2. A. L. Talis
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  3. Wand Yanjin
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__________

Translated from Metallovedenie i Termicheskaya Obrabotka Metallov, No. 9, pp. 8 – 16, September, 2005.

This work was performed with financial support of the Russian Fund for Fundamental Research (Grants 05-02-17141 and 03-02-16446). The authors are grateful to I. V. Lyasotskii for fruitful discussions of the material.

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Kraposhin, V.S., Talis, A.L. & Yanjin, W. Geometrical Model of Polymorphous Transformations in Titanium and Zirconium. Met Sci Heat Treat 47, 402–410 (2005). https://doi.org/10.1007/s11041-006-0002-5

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