Negatively curved cubic carbon crystals with octahedral symmetry

作者: Makoto Tagami , Yunye Liang , Hisashi Naito , Yoshiyuki Kawazoe , Motoko Kotani

DOI: 10.1016/J.CARBON.2014.04.077

关键词:

摘要: Abstract After several ad hoc proposals of new 2-dimensional carbon structures, interest in their actual synthesis has begun to increase. One needs a clear orientation or criteria describe those structures an appropriate way. In the present paper, we propose systematic method for discovering stable crystals with sp 2 -bonding using advanced mathematical methods. There are two key ideas: geometric descriptions based on curvatures, symmetries, etc. and standard realization crystal lattices via harmonic theory identify coordinates. We apply this study negatively curved octahedral symmetry after Mackay–Terrones [1] , structures. The stability electronic states proposed investigated first principles calculations.

参考文章(29)
Mathieu Dutour Sikirić, Michel Deza, Geometry of Chemical Graphs: Polycycles and Two-faced Maps ,(2008)
Motoko Kotani, Toshikazu Sunada, Standard realizations of crystal lattices via harmonic maps Transactions of the American Mathematical Society. ,vol. 353, pp. 1- 20 ,(2000) , 10.1090/S0002-9947-00-02632-5
Bin Wen, Seiichi Takami, Yoshiyuki Kawazoe, Tadafumi Adschiri, Carbon-doped K4 nitrogen: A novel high energy density material Chemical Physics Letters. ,vol. 506, pp. 175- 178 ,(2011) , 10.1016/J.CPLETT.2011.02.042
Ryo Tamura, Masaru Tsukada, Disclinations of monolayer graphite and their electronic states Physical Review B. ,vol. 49, pp. 7697- 7708 ,(1994) , 10.1103/PHYSREVB.49.7697
Thomas Lenosky, Xavier Gonze, Michael Teter, Vert Elser, Energetics of negatively curved graphitic carbon Nature. ,vol. 355, pp. 333- 335 ,(1992) , 10.1038/355333A0
K. Parlinski, Z. Q. Li, Y. Kawazoe, First-Principles Determination of the Soft Mode in Cubic ZrO 2 Physical Review Letters. ,vol. 78, pp. 4063- 4066 ,(1997) , 10.1103/PHYSREVLETT.78.4063
John P. Perdew, J. A. Chevary, S. H. Vosko, Koblar A. Jackson, Mark R. Pederson, D. J. Singh, Carlos Fiolhais, Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. Physical Review B. ,vol. 46, pp. 6671- 6687 ,(1992) , 10.1103/PHYSREVB.46.6671
Humbeto Terrones, Alan L. Mackay, Triply periodic minimal surfaces decorated with curved graphite Chemical Physics Letters. ,vol. 207, pp. 45- 50 ,(1993) , 10.1016/0009-2614(93)85009-D