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Sphere packings as a tool for the description of martensitic phase transformations
Author(s) -
Sowa Heidrun
Publication year - 2017
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273316013425
Subject(s) - crystallography , martensite , group (periodic table) , face (sociological concept) , type (biology) , materials science , phase transition , orientation (vector space) , phase (matter) , close packing of equal spheres , pure mathematics , condensed matter physics , mathematics , chemistry , physics , geometry , quantum mechanics , geology , microstructure , paleontology , social science , sociology
Martensitic transformations which play an important role in metallurgical processes are analysed using group–subgroup relations and sphere‐packing considerations. This approach is applied to the transformations between body‐centred cubic (b.c.c.) and face‐centred cubic (f.c.c.) phases and yields the orientation relations according to the Nishiyama–Wassermann, the Kurdjumov–Sachs and the Pitsch mechanisms. The models proposed by Pitsch and Schrader and by Burgers for the transition between b.c.c. and hexagonally closest‐packed (h.c.p.) type structures can be interpreted analogously. In addition, two mechanisms for the transition between cubic f.c.c. and h.c.p. structures are described.