Carbon Toroids with D5h Symmetry

Up to now, all of the toroids I made and posted here belong to either D_5d or C₅ point groups. Molecules with D_5d symmetry have mirror symmetry. So they are achiral compounds. But those molecules with C_5d symmetry are chiral.

In addition to these types of compounds, there exists the third kind of toroids with D_5h symmetry. Since they have inversion symmetry, molecules belongs to this catogory are optically inactive. I have made two beaded toroids of this kind this weekend. Both contain 240 carbon atoms.

Interestingly, these two are connected to each other by the Stone-Wales transformation.

D_5h T240 a

From Craft Projects

D_5h T240 b

From Craft Projects

Geometry generated by Chuang.