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Jubilite: A 4-,8-connected Cubic Structural Pattern in Space Group Pm3

By Michael J. Bucknum and Eduardo A. Castro


Abstract: In the course of investigating structural modifications of the 3-,4-connected net known as the Pt3O4 structure-type (waserite), a novel 4-,8-connected structure-type was discovered. This lattice is generated by replacing the 3-connected trigonal planar vertices of the Pt3O4 structure-type with 4-connected tetrahedral vertices, to achieve a structure which possesses a generic empirical formula of JK6L8. In such a topological modification, the four 3-fold axes of the parent cubic, Pm3n, Pt3O4 structure-type are retained. Thus the 4-connected tetrahedral vertices are oriented so as to preserve cubic symmetry in the resulting Pm3, JK6L8 (jubilite) lattice. The unit cell contains a single 8-connected cubecentered vertex, six 4-connected distorted square planar vertices and eight 4-connected distorted tetrahedral vertices. It is a Wellsean structure with a Wells point symbol given by (4 16 6 4 8 4)(4 2 8 2)6(4 3 8 3)8 and a Schläfli symbol of (5 3/4, 4.2667). This latter index reveals a decrease in the lattice’s polygonality and concomitant increase in the connectivity through the transformation from waserite to jubilite. The topology of the parent waserite lattice (Pt3O4) corresponds to that of the Catalan structures with the Wells point symbol (8 4)3(8 3)4, which has the Schläfli symbol (8, 3.4285). Finally, it can be seen that

Year: 2013
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