At sixes and sevens, and eights, and nines: schwarzites p 3, p = 7, 8, 9

Abstract

Examples are given of vertex and/or face-transitive p 3 (p = 7, 8, 9) tilings of periodic minimal surfaces. Infinite families of tilings, including aperiodic structures, are readily derived from some of these. They are of particular interest for theoretical studies of potential carbon allotropes.

Schwarzite nets: a wealth of 3-valent examples sharing similar topologies and symmetries

“…The schwarzites reported here coincide in part with those in an earlier report [43], which led to this more comprehensive study. Nevertheless, most of the nets reported here are novel, but how many have we missed?…”

“…As discussed above, the transitivity of these (7, 3) e-nets can be inferred from their tilings of H 2 , illustrated in figure 6. All e-net ( We believe that most of these structures were previously unknown, though some have been reported in a previous paper [43]. A notable exception is the kgn net [47].…”

“…Distinct s-nets are numbered sequentially. We believe that most of these structures were previously unknown, though some have been reported in a previous paper [43]. A notable exception is the kgn net [47].…”

“…In addition, other nets have been constructed and described already by Wells [41] and O’Keeffe et al [42]; those are listed online in the RCSR database [38] 2 . Other RCSR entries were described in [43] 3 . The remaining nets with three-letter codes were added to RCSR following our enumeration described here.…”

A Gyroidal MOF with Unprecedented Interpenetrating utc-c Network Exhibiting Exceptional Thermal Stability and Ultrahigh CO2 Affinity

“…To verify the construction strategy and extend the relationship between G minimal surface and adsorption properties, herein we presented a new gyroidal MOF, [Cu 3 (IP-POH) 2 ]·NO 3 ·9H 2 O, namely, SCNU-1 (SCNU = South China Normal University), under solvothermal conditions by mixing Cu­(NO 3 ) 2 with 4-(1H-imidazo­[4,5- f ]­[1,10]­phenanthrolin-2-yl)­phenol (HIP-POH; Scheme S1). Single crystal structural analysis revealed that SCNU-1 is composed of two interpenetrating utc networks, which to the best of our knowledge is the first example found in the real structure, with opposite helical channels. This rare gyroidal MOF also showed high thermal stability (>773 K) and excellent water and chemical stabilities.…”