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Croatica Chemica Acta, Vol. 77 No. 1-2, 2004.

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Supersymmetry of Hexabenzocoronene Torus

Haruo Hosoya ; Department of Information Sciences, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan
Yoko Tsukano ; Department of Information Sciences, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan
Kyoko Nakada ; Department of Information Sciences, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan
Sayaka Iwata ; Department of Information Sciences, Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan
Umpei Nagashima ; Grid Technology Research Center, National Institute of Advanced Industrial Science and Technology, Umezono, Tsukuba 305-8568, Japan

Puni tekst: engleski pdf 427 Kb

str. 89-95

preuzimanja: 639

citiraj

Sažetak

Hexabenzocoronene torus (HBCT) is a hypothetical torus-shaped network derived by properly connecting the nine pairs of peripheral carbon atoms of the hexabenzocoronene skeleton. The π-electronic structure of this hypothetical conjugated carbon network has an exceedingly high symmetry (supersymmetry) and is closely related to that of the graphite network. By using the group-theoretic technique developed by the authors it is shown that this 42 × 42 secular determinant of HBCT can be factorized into the product of 21 quadratic equations. A number of interesting mathematical properties of the supersymmetry of HBCT are introduced.

Ključne riječi

hexabenzocoronene; torus; graphite network; symmetry; secular determinant; factorization; group theory; eigenvalue; HMO; degeneracy

Hrčak ID:

102650

URI

https://hrcak.srce.hr/102650

Datum izdavanja:

31.5.2004.

Posjeta: 1.087 *