view article
Figure 9
The projections of atomic positions of the β-Mn structure on the (001) plane. These projections coincide (by neglecting small distortions) with the part of the {3, 3, 5} polytope projection shown in Fig. 3[link]. (a) Atomic positions in the β-Mn unit cell with contours of double spirals only: vertices of the CBT and winding helices correspond to the D, C and B vertices of the polytope {3, 3, 5} in Fig. 3[link](a). (b) Projections of atomic positions in the β-Mn structure in (a) are disposed (by neglecting small differences) on the circumferences containing projections of the {3, 3, 5} polytope vertices, these vertices belonging to the D, C and B tria­contahedra in Fig. 3[link]. (c) The correspondence of the local 8/3 axis in the β-Mn structure to the 30/11 axis in the {3, 3, 5} polytope. The rotation of three vertex pairs of the star polygon {30/11} by 3, 6 or 9° along the D circumference (b) gives rise to the 8/3 polygon with vertices in positions occupied by Mn ions of two charge states designated as grey and white balls.

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733
Volume 77| Part 1| January 2021| Pages 7-18
https://doi.org/10.1107/S2053273320012978
Follow Acta Cryst. A
Sign up for e-alerts
E-alerts
Follow Acta Cryst. on Twitter
Twitter
Follow us on facebook
Facebook
Sign up for RSS feeds
RSS