Appearance of icosahedral atomic clusters in the formation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">MgCu</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-type structure from the bcc structure in Ti-Cr alloys

Hirata, Akihiko; Koyama, Yasumasa; Tanimura, Makoto

doi:10.1103/physrevb.67.144107

Cited by 9 publications

(2 citation statements)

References 7 publications

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“…A recent study by the authors also revealed that in the Ti-Cr alloys an atomic displacement similar to that shown in Fig. 4 occurred for the formation of the 12-coordination polyhedron in the C15 structure [11]. The C14 and C15 structures differ in that no lattice rotation is present in the C15 structure.…”

Section: Resultsmentioning

confidence: 83%

Crystallographic correspondence between the bcc and C14-type structures in the Fe–Ti alloy system

Hirata¹,

Koyama²

2004

Materials Science and Engineering: A

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Section: Resultsmentioning

confidence: 83%

Crystallographic correspondence between the bcc and C14-type structures in the Fe–Ti alloy system

Hirata¹,

Koyama²

2004

Materials Science and Engineering: A

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“…35,36 As a result of the appearance of the R phase, there is a ͑␤-Mn→ ␣-Mn+ R͒ eutectoid reaction that is characterized by structural changes between coordination-polyhedra structures. 37 Although we have so far studied the formation of the coordination-polyhedra structures from the bcc structure in the Fe-Mo and Cr-Co alloy systems, [38][39][40][41][42] the presence of this eutectoid reaction presents us with the following question: "what are the crucial factors controlling a structural change between two coordination-polyhedra structures?" To understand such factors, we have examined the crystallographic features of the ͑␤-Mn→ ␣-Mn͒ and ͑␤-Mn→ R͒ structural changes in the Mn-Si alloy system by transmission electron microscopy.…”

Section: Introductionmentioning

confidence: 99%

Formation ofα-MnandRstructures from theβ-Mnstructure in Mn-Si alloys

et al. 2010

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The Mn-Si alloy system undergoes the ͑␤-Mn→ ␣-Mn+ R͒ eutectoid reaction at 908 K around 8 at. % Si. The crystal structures of the ␤-Mn, ␣-Mn, and R phases were reported to consist of complex coordination polyhedra such as a polyhedron with coordination number ͑CN͒ 12: that is, an icosahedral atomic cluster. The notable features of these structures are that both the ␣-Mn and R structures are characterized by arrays of penetrated CN16 pairs while penetrated CN14 pairs are present in the ␤-Mn structure. In a penetrated CN16 pair consisting of two CN16 polyhedra, for instance, a center atom of one CN16 polyhedron is one of 16 atoms forming a shell of the other. To understand the crucial factors controlling a change between two coordinationpolyhedra structures, in this study, the crystallographic features of the ͑␤-Mn→ ␣-Mn͒ and ͑␤-Mn→ R͒ structural changes related to the eutectoid reaction have been investigated by transmission electron microscopy. It was found that the former ͑␤-Mn→ ␣-Mn͒ change started with the conversion of a penetrated CN14 pair into a penetrated CN16 pair by successive and simple atomic shifts. Among three types of orientation relations between the ␤-Mn and R structures in the latter change, the direct conversion of a penetrated CN16 pair from a penetrated CN14 pair should first occur for the major relation. As for two other minor relations found mainly for higher Si contents, in the starting changes, a penetrated pair consisting of CN14 and CN12 polyhedra, and two neighboring CN14 and CN12 polyhedra in the ␤-Mn structure must be converted to a penetrated CN16 pair, and two neighboring CN16 and CN12 polyhedra in the R structure, respectively. The directional relation in the orientation relationship for these two structural changes was, as a result, determined by orientations of the penetrated CN14 pairs or two neighboring polyhedra in the ␤-Mn structure. It is thus understood that the crucial factor controlling the ͑␤-Mn→ ␣-Mn͒ and ͑␤-Mn→ R͒ structural changes should be the conversion between the structural units consisting of only two neighboring polyhedra, which are involved in these complex structures. Furthermore, both site occupancies of atoms and atomic-bond lengths in the penetrated CN16 pairs for the ␣-Mn and R structures were evaluated to understand the physical origin of interplay between the appearance of a magnetic moment in the former structure and the formation of covalentlike atomic bonding in the latter.

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