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Enumeration of four-connected three-dimensional nets. II. Conversion of edges of three-connected 2D nets into zigzag
1Consortium for Theoretical Frameworks, Department of the Geophysical Sciences, University of Chicago, Chicago, IL 60637, USA.
Abstract:
Four-connected three-dimensional (3D) nets were systematically enumerated by converting some horizontal edges of a vertical stack of three-connected two-dimensional (2D) nets into vertical zigzag chains. 77 out of 131 2D nets were selected for enumeration, and different arrangements of zigzag edges and horizontal edges were investigated. This yielded 138 3D nets of which 19 are represented by known structures: cristobalite; tridymite; MAPO-39 (International Zeolite Association Structure Commission code ATN); svyatoslavite; Li-A(BW) (ABW); cancrinite (CAN); AlPO-31 (ATO); MAPO-36 (ATS); BaFe(2)O(4); 'nepheline hydrate' (JBW); bikitaite (BIK); KBGe(2)O(6); CsAlSi(5)O(12) (CAS); UiO-6 (OSI); Theta-1 (TON); ZSM-12 (MTW); ZSM-23 (MTT); AlPO-53C; and CIT-5 (CFI).