Acta Crystallographica Section B

Structural Science

Volume 59, Part 3 (June 2003)


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Acta Cryst. (2003). B59, 324-336    [ doi:10.1107/S0108768103009005 ]

The commensurate composite [bold sigma]-structure of [beta]-tantalum

A. Arakcheeva, G. Chapuis, H. Birkedal, P. Pattison and V. Grinevitch

Abstract: The single-crystal investigation of the self-hosting [bold sigma]-structure of [beta]-tantalum ([beta]-Ta) at 120  K (low-temperature, LT, structure) and at 293  K (RT-I before cooling and RT-II after cooling and rewarming; RT represents room temperature) shows that this structure is indeed a specific two-component composite where the components have the same (or an integer multiple) lattice constants but different space groups. The space groups of both host (H) and guest (G) components cause systematic absences, which result from their intersection. The highest symmetry of a [bold sigma]-structure can be described as [H: P42/mnm; G: P4/mbm (cG = 0.5cH); composite: P42/mnm]. A complete analysis of possible symmetries is presented in the Appendix. In [beta]-Ta, two components modify their symmetry during the thermal process 293  K (RT-I) --> 120  K (LT) --> 293  K (RT-II): [H: P\bar 421m; G: P\bar 421m; composite: P\bar 421m] --> [H: P\bar 4, G: P4/mbm (cG = 0.5cH), composite: P\bar 4] --> [H: P\bar 421m, G: P4/mbm (cG = 0.5cH), composite: P\bar 421m]. Thus, the phase transition is reversible with respect to H and irreversible with respect to G.

Keywords: low-temperature [bold sigma] phase of [beta]-Ta; commensurate composite structure; synchrotron radiation; phase transition; thermal process.


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