Glass bead games: enumeration of possible polytypes based on two stacking vectors and applications to the iron-ore sinter phases SFCA and SFCA-I

Salzmann, M.F.; Kahlenberg, V.; Krüger, H.; Netzer, T.

doi:10.1107/S2053273326003505

Figure 4
(a) and (b) illustrate a sequence of 〈PS〉 and 〈PSS〉 modules in SFCA and SFCA-I, respectively, in projections parallel to $[{\bf c}_{\rm MDO1}]$ , that is, parallel to the tetrahedral pyroxene chains. Tetrahedra and octahedra are presented in pink and blue, respectively. Small red spheres denote oxygen atoms. The boundaries of the 〈PS〉 and 〈PSS〉 modules, as well as the OD layers, which are all parallel to (010), are indicated with small solid black and grey lines, respectively. The outlines of the unit cells of the MDO1 structures are shown with black stippled lines. For the sake of clarity, the vector relationships between the translation (shift) vectors $[{\bf t}_1]$ and $[{\bf t}_2]$ , as well as the unit-cell vectors $[{\bf a}_{\rm MDO1}]$ , $[{\bf b}_{\rm MDO1}]$ and $[{\bf c}_{\rm MDO1}]$ have been shown separately in (c) and (d) for SFCA and SFCA-I, respectively. The two grey planes indicate the boundaries of a single OD layer. Please note that both $[{\bf t}_1]$ and $[{\bf t}_2]$ are situated within the plane defined by $[{\bf a}_{\rm MDO1}]$ and $[{\bf c}_{\rm MDO1}]$ . $[{\bf b}_0]$ corresponds to the vector perpendicular to the OD layers (see text).

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ISSN: 2053-2733

Volume 82| Part 3| May 2026| Pages 145-162

https://doi.org/10.1107/S2053273326003505

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