Schwarzites Database.
Schwarzites are hypothetical carbon allotropes in the form of carbocycles tiling on various Triply Periodic Minimal Surfaces (TPMS) first of which were discovered by Herman Schwarz. TPMS can be tiled by heptagons, octagons, or even larger size polygons. Unbalanced TPMS have two unequal sides, which can be readily recognized by the different diameters of their chambers. Use the filter for the type of the TPMS below to sort and retrieve specific examples. Names are composed of a letter for the TPMS type followed by the symmetry group, chemical element, and the number of atoms in the unit cell. Index (P) or (M) stays for enantiomers of chiral Schwarzites. The neck configuration topological characteristic is given for the small and large chamber openings. Clicking on entry name for each Schwarzite will load its interactive 3D model in the viewing pane on the right.
Schwarzites are hypothetical carbon allotropes in the form of carbocycles tiling on various Triply Periodic Minimal Surfaces (TPMS) first of which were discovered by Herman Schwarz. TPMS can be tiled by heptagons, octagons, or even larger size polygons. Unbalanced TPMS have two unequal sides, which can be readily recognized by the different diameters of their chambers. Use the filter for the type of the TPMS below to sort and retrieve specific examples. Names are composed of a letter for the TPMS type followed by the symmetry group, chemical element, and the number of atoms in the unit cell. Index (P) or (M) stays for enantiomers of chiral Schwarzites. The neck configuration topological characteristic is given for the small and large chamber openings. Clicking on entry name for each Schwarzite will load its interactive 3D model in the viewing pane on the right.
| ID | Name | TPMS | Point Symbol | Density | Small Neck | Large Neck |
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Neck configuration shows the number of atoms in each heptagon (or a different polygon) composing a neck (the narrowest place where chambers connect). Each neck atom has one bond to connect to the opposite chamber. For example, configuration (222)^4 means that three polygons with 2 atoms in each polygon will be used to connect chamber's neck with another chamber and there are four necks in that chamber as illustrated below.
