Abstract
A series of fullerenes from C20 to C60 (a total of 5770) is obtained and their characterization in terms of symmetry point groups is performed for the first time. The most symmetric forms with the sixth and higher orders of automorphism groups (a total of 80) are represented in the Schlegel projection onto one of the faces. It is noted that, among the 5770 fullerenes obtained, only 12 fullerenes exhibit noncrystallographic symmetry.
Similar content being viewed by others
References
R. F. Curl and R. E. Smalley, Science 242, 1017 (1988).
H. Kroto, Science 242, 1139 (1988).
A. Z. Zaidenberg, V. V. Kovalevskii, N. N. Rozhkova, and A. G. Tupolev, Zh. Fiz. Khim. 70(1), 107 (1996).
N. P. Yushkin, Dokl. Akad. Nauk 337(6), 800 (1994).
M. I. Novgorodova, Dokl. Akad. Nauk 367(2), 241 (1999).
J. B. Howard, J. T. McKinnon, Y. Makarovsky, et al., Nature 352, 139 (1991).
G. Helden, M.-T. Hsu, N. Gotts, and M. T. Bowers, J. Phys. Chem. 97, 8182 (1993).
J. A. Ripmeester and Ch. I. Ratcliffe, Zh. Strukt. Khim. 40(5), 809 (1999).
R. A. Dilanyan, O. G. Rybchenko, and V. Sh. Shekhtman, Kristallografiya 39(1), 5 (1994) [Crystallogr. Rep. 39, 1 (1994)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Kristallografiya, Vol. 47, No. 5, 2002, pp. 785–787.
Original Russian Text Copyright © 2002 by Voytekhovsky, Stepenshchikov.
Rights and permissions
About this article
Cite this article
Voytekhovsky, Y.L., Stepenshchikov, D.G. Fullerenes C20-C60: Combinatorial types and symmetry point groups. Crystallogr. Rep. 47, 720–722 (2002). https://doi.org/10.1134/1.1509382
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1509382