Triply periodic minimal surfaces decorated with curved graphite

✍ Scribed by Humbeto Terrones; Alan L. Mackay

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 533 KB
• Volume: 207
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(93)85009-d

✦ Synopsis

Hypothetical negatively curved structures derived from graphite are described, in which all carbon atoms rest on triply periodic minimal surfaces (TPMS). The D minimal surface was calculated using the Weierstrass representation. By applying the Bonnet transformation to the D surface, thegyroid and P surfaces were constructed. Curvatures, densities, lattice parameters and energies have been calculated for all structures. The absolute value of the maximum Gaussian curvature is smaller than that for CeO fullerene. A new periodic graphite net with the same topology as the I-WP minimal surface, using S-, 6-and S-membered rings is found possible. The stability of 11 negatively curved graphitic structures has been determined using Tersoff s three-body potential. All the structures described are more stable than Cso, mainly because the 120" bond angles in ordinary graphite are almost preserved in the 7-and S-membered carbon rings. The way is now open to explore the decoration of minimal surfaces with further arrangements of atoms of different elements.