Hückel versus Möbius aromaticity: The particle in a cylinder versus a Möbius strip

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 6, 2010, Pages

  Miliordos, Evangelos ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

AROMATICITIES; CHEMICAL CONCEPTS; CYLINDER MODEL; DINGER EQUATION; EXACT SOLUTION; NUMERICAL TECHNIQUES; QUANTUM MECHANICS; STRIP MODEL;

AROMATIZATION; CYLINDERS (SHAPES); QUANTUM THEORY;

MOLYBDENUM;

EID: 78650987621     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.062118     Document Type: Article

References (17)

1. J. Clayden, N. Greeves, S. Warren, and P. Wothers, Organic Chemistry (Oxford University Press, New York, 2001).
2. M. Glukhovtsev, J. Chem. Educ. JCEDA8 0021-9584 10.1021/ed074p132 74, 132 (1997).
3. J. A. N. F. Gomes and R. B. Mallion, Chem. Rev. CHREAY 0009-2665 10.1021/cr990323h 101, 1349 (2001).
4. For a historical review and an amusing lining up of applications of the Möbius strip, see C. A. Pickover, The Möbius Strip (Thunder's Mouth Press, New York, 2006).
5. See, for instance, H. S. Rzepa, Chem. Rev. CHREAY 0009-2665 10.1021/cr030092l 105, 3697 (2005);
6. R. Herges, Chem. Rev. CHREAY 0009-2665 10.1021/cr0505425 106, 4820 (2006), and references therein.
7. C. S. Wannere, H. S. Rzepa, B. C. Rinderspacher, A. Paul, C. S. M. Allan, H. F. Schaefer, III, and P. v. R. Schleyer, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp902176a 113, 11619 (2009).
8. M. Stȩpień, L. Latos-Grażyński, N. Sprutta, P. Chwalisz, and L. Szterenberg, Angew. Chem. Int. Edn. JPCAFH 1433-7851 10.1002/anie.200700555 46, 7869 (2007).
9. R. Herges, Nature (London) NATUAS 0028-0836 10.1038/450036a 450, 36 (2007).
10. J. M. Lim, J.-Y. Shin, Y. Tanaka, S. Saito, A. Osuka, and D. Kim, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja909744z 132, 3105 (2010).
11. E. Heilbronner, Tetrahedron Lett. TELEAY 0040-4039 10.1016/S0040-4039(01) 89474-0 5, 1923 (1964).
12. P. W. Fowler, E. Steiner, R. W. A. Havenith, and L. W. Jenneskens, Magn. Reson. Chem. MRCHEG 0749-1581 10.1002/mrc.1445 42, S68 (2004), and references therein.
13. J. Gravesen and M. Willatzen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.032108 72, 032108 (2005).
14. E. W. Weisstein, "Möbius Strip." From MathWorld-A Wolfram Web Resource, [http://mathworld.wolfram.com/MoebiusStrip.html], and references therein.
15. molpro, version 2006.1, a package of ab initio programs, H.-J. Werner, see [http://www.molpro.net.]
16. G. Ercolani, J. Chem. Educ. JCEDA8 0021-9584 10.1021/ed077p1495 77, 1495 (2000).
17. matlab, version 7.8 (R2009A), available at [www.mathworks.com] (March 2010).