A Higher Dimensional Description of the Structure of β-Mn
نویسندگان
چکیده
The structure of β-Mn crystallizes in space group P4132. The pseudo 8-fold nature of the 41 axes makes it constitute an approximant to the octagonal quasicrystals. In this paper we analyze why a five-dimensional super space group containing mutually perpendicular 8-fold axes cannot generate P4132 on projection to 3-d space and how this may instead be accomplished from a six-dimensional model. A procedure for generating the actual structure of β-Mn lifted to six-dimensional space is given.
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ورودعنوان ژورنال:
- Symmetry
دوره 4 شماره
صفحات -
تاریخ انتشار 2012