Different novel organic-chemical possibilities for tetrahedral building units are considered, with attention to their utility in constructing different super-structures. As a representative construction we consider the useof sets of 20 such identical tetrahedral units to form a super-dodecahedron.
IntroductionRecently Minyaevet al [1] proposed a dodecahedral-symmetry molecule comprised of tetrahedral submolecular building blocks placed at the corners of a large dodecahedron with the tetrahedral units interconnected via covalent bonds. The tetrahedral units in isolation are of the form TH 4 with the 4 H atoms bonded covalently to the central tetrahedral core T. Then taking 20 of these tetrahedral building blocks, one deletes 3 H atoms from each, and reconnects the consequent dangling bonds of each resultant TH to 3 of these equivalent neighboring TH units, to obtain (TH) 20 -as indicated in Fig.1.The prototype for this construction may be viewed to be Paquetteet al's [2]dodecahedrane, (CH) 20 , with T being just a single C atom. The tetrahedral units considered by Minyaevet al [1] aretetrahedra where T is taken as a (hydrogendeleted) cage: B 4 , or C 4 , or Al 4 . In fact, there are many more (hydrogenated) tetrahedral cages TH 4 possible which may be utilized in such a construction of a "super-dodecahedron". One such is the well-known adamantane, which indeed has in fact earlier been proposed [3] as a tetrahedral construction unit for making a super-dodecahedron, (TH) 20 , or even a super-truncated-icosahedron,(TH) 60 -that is, TH 4 isadamantane, (CH) 4 (CH 2 ) 6 , with the 4 exceptional H atoms being those attached to the tertiary carbons, so that T is C 4 (CH 2 ) 6 . This adamantane tetrahedral unit has also been described[4] as a possibility to form a tetrahedral"hyper-adamantane", as well as a host of other nominally "unstressed"structureswhence one could consider thishyper-adamantane as a new tetrahedral building block. But there are yetmany furtherpossibilities for tetrahedral building blocks. Recently also Huang et al [5] emphasize the use of tetrahedral building blocks (especially based on silessquioxanes) to build up a variety of nano-structures. Indeed the general idea of using a convenient type of building-block unit (a molecular tinker-toy unit [6]) may be viewed as useful idea for nano-technology.Here we indicate other possible tetrahedral building blocks, of organic-chemical form satisfying standard bonding schemes, for stability. We indicate first a collection of adamantane-related such building blocks, then aclass [7] of tetrahedral fulleroid building blocks, then a further class of adamanto-capped fullerenes. Each of these novel classes manifest infinite sequences of ever larger tetrahedral units, and it is noted how suitable units of higher than tetrahedral symmetry may be used as tetrahedral building blocks. As an example target larger nano-structure we consider the building of a super-dodecahedron from such tetrahedral units.Yet further the feature that in placing tetrahedral building blocks i...