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References
A. Kekulé, Bull. Acad. R. Belg. 19, 557 (1865).
A. Kekulé, Liebigs Ann. Chem. 137. 129(1866).
E. Erlenmeyer, Liebigs Ann. Chem. 316, 57 (1901).
J. W. Armit and R. Robinson, J. Chem. Soc. 38, 827 (1922).
L. Pauling, J. Chem. Phys. 1, 280 (1933).
L. Pauling and G. W. Wheland, J. Chem. Phys. 1, 362 (1933).
W. Heitler and F. W. London, Z. Phys. 44 455 (1927).
G. Rumer, Nachr. Ges. Wiss. Goettingen Math. Phys. Kl. 1932, 337 (1932).
L. Pauling, The Nature of the Chemical Bond, Cornell University Press, Ithaca, New York (1939).
F. K. J. Thiele. Liebigs Ann. Chem. 306, 89, 125 (1899).
D. L. Cooper, J. Gerrat, and M. Raimondi, Nature 323, 699 (1986).
J. Gerrat, D. L. Cooper, and M. Raimondi, in: Valence-Bond Theory and Chemical Structure (D. J. Klein and N. Trinajstć, eds.), Elsevier, Amsterdam (1990).
D. J. Klein, Top. Curr. Chem. 153, 57 (1990).
F. Pilar, Elementary Quantum Chemistry, McGraw-Hill, New York (1968).
I. N. Levine, Quantum Chemistry, Allyn & Bacon, Boston (1974).
E. Clar, The Aromatic Sextet, John Wiley & Sons, New York (1972).
Articles in Aromaticity, Pseudo-Aromaticity, Anti-Aromaticity (E. D. Bergmann and B. Pullman, eds.), Israel Academy of Science, Jerusalem (1971).
B. Y. Simkin, V. I. Minkin, and M.N. Glukhovtsev, Adv. Heterocycl. Chem. 56, 303 (1993).
P. J. Garratt, Aromaticity, McGraw-Hill, New York (1971).
D. Lewis and D. Peters, Facts and Theories of Aromaticity, Macmillan & Co., London (1975).
D. Lloyd, Non-benzenoid Conjugated Carbocyclic Compounds, Elsevier, Amsterdam (1984).
A. T. Balaban, C. C. Rentia, and E. Ciupitu, Rev. Roum. Chim. 13, 231, 1233 (1968).
A. T. Balaban, Comput. Math. Appl. 17, 397 (1987).
R. Hoffmann, T. Hughbanks, M. Kertesz, and P. H. Bird, J. Am. Chem. Soc. 105, 7831 (1983).
V. Stankevich, M. V. Nikerov, and D. A. Bochvar, Russ. Chem. Rev. 53, 670 (1987).
K. M. Merz, Jr., R. Hoffmann, and A. T. Balaban, J. Am. Chem. Soc. 109, 6772 (1987).
R. H. Baughman, H. Eckerdt, and M. Kertesz, J. Chem. Phys. 87, 6687 (1987).
R. Biwas, R. M. Martin, R. J. Needs, and O. H. Nielsen, Phys. Rev. B 30, 3210 (1984).
R. L. Johnston and R. Hoffman, J. Am. Chem. Soc. 111, 810 (1989).
D. Boercker, Phys. Rev. B44, 11592 (1991).
K. S. Pitzer and E. Clementi, J. Am. Chem. Soc. 81, 4477 (1959).
K. S. Pitzer, in: Molecular Orbita/s in Chemistry, Physics and Biology (P. O. Löwdin and B. Pullman, eds.), pp. 281–291, Academic Press, New York(1964).
M. J. S. Dewar, G. P. Ford, and H. S. Rzepa, Chem. Phys. Lett. 50, 262 (1977).
M. Kertesz, J. Koller, and A. Azman, J. Chem. Phys. 68, 2779 (1978).
F. Diederich, Y. Rubin, O. L. Chapman, and N. S. Goroff, Helv. Chim. Acta 77, 1441 (1994).
D. E. H. Jones, New Sci. 32, 245 (1966).
Z. Yoshida and E. Osawa, Aromatic Compounds, Section 5.6.2, Kagakudojan, Kyoto (1971).
J. Castells and F. Serratosa, J. Chem. Educ. 60, 941 (1983).
D. A. Bochvar and E. G. Galipern, Dokl. Akad. Nauk SSSR 209, 610 (1973).
R. A. Davidson, Theor. Chim. Ada 58, 193 (1981).
A. E. Goresy and G. Donnay, Science 161, 363 (1968).
A. G. Whittaker and G. M. Wolten, Science 178, 54 (1972).
R. Hayatsu, R. G. Scott, M. H. Studier, R. S. Lewis, and E. Anders, Science 209, 1515 (1980).
A. G. Whittaker, E. J. Watts, R. S. Lewis, and E. Anders, Science 209, 1512 (1980).
A. G. Whittaker, Science 200, 763 (1978).
A. G. Whittaker, M. E. Neudorffer, and E. 3. Watts, Carbon 21, 597 (1983).
J. Hoerni and J. Weigle, Nature 164, 1088 (1949).
L. Pauling, Proc. Natl. Acad. Sci. USA 56, 1646 (1966).
S. Ergun, Carbon 6, 141 (1968).
H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, and R. E. Smalley, Nature 318, 162 (1985).
W. R. Krätschmer, L. D. Lamb, K. Fostiropoulos, and D. R. Huffman, Nature 347, 354 (1990).
R. Taylor, J. P. Hare, A. K. Abdul-Sada, and H. W. Kroto, J. Chem. Soc. Chem. Commun. 20, 1423 (1990).
R. Ettl, I. Chao, F. Diederich, and R. L. Whetten, Nature 353, 149 (1991).
F. Diederich, R. L. Whetten, C. Thilgen, R. Ettl, I. Chao, and M. M. Alvarez, Science 254, 1768 (1991).
F. Diederich, R. Ettl, Y. Rubin, R. L. Whetten, R. Beck, M. Alvarez, S. Anz, D. Sensharma, F. Wudl, K. Khemani, and A. Koch, Science 252, 548 (1991).
D. Ben-Amotz, R. G. Cooks, L. Dejarme, J. C. Gunderson, S. H. Hoke II, B. Kahr, G. L. Payne, and J. M. Wood, Chem. Phys. Lett. 183, 149(1991).
K. Kikuchi, N. Nakahara, T. Wakabayashi, M. Honda, H. Matsumiya, T. Monkawi, S. Suzuki, H. Shiromaru, K. Saito, K. Yamauchi, I. Ikemoto, and Y. Achiba, Chem. Phys. Lett. 186, 177 (1992).
S. Iijima, Nature 354, 56 (1991).
R. J. Lagow, J. J. Kampa, H.-C. Wei, S. L. Battle, J. W. Genge, D. A. Laude, C. J. Harper, R. Bau, R. C. Stevens, J. R. Haw, and E. Munson, Science 267, 363 (1994).
K. Mislow, Introduction to Stereochemistry, Benjamin, New York (1965).
E. Eliel and S. Wilen, Stereochemistry of Organic Compounds, John Wiley & Sons, New York (1994).
G. Polya and R. C. Read, Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds, Springer-Verlag, Berlin (1987).
S. Fujita, Symmetry and Combinatorial Enumeration in Chemistry, Springer-Verlag, Berlin (1991).
H. L. Frisch and E. Wasserman, J. Am. Chem. Soc. 83, 3789 (1961).
V. I. Sokolov, Russ. Chem. Rev. 42, 452 (1973).
D. M. Walba, in: Chemical Applications of Topology and Graph Theory (R. B. King, ed.), pp. 17–32, Elsevier, Amsterdam (1983).
D. M. Walba, R. M. Richards, S. J. Sherwood, and R. C. Haltiwanger, J. Am. Chem. Soc. 103, 6213 (1981).
D. W. Sumners, J. Math. Chem. 1, 1 (1987).
Articles by D. W. Sumners, by D. M. Walba, by J. Simon, by E. Flapan, and by D. P. Jonish and K. C. Milieu in: Graph Theory and Topology in Chemistry (R. B. King and D. H. Rouvray, eds.), Elsevier, Amsterdam (1987).
T. G. Schmalz, W. A. Seitz, D. J. Klein, and G. E. Hite, Chem. Phys. Lett. 130, 203 (1986).
T. G. Schmalz, W. A. Seitz, D. J. Klein, and G. E. Hite, J. Am. Chem. Soc. 110, 1113 (1988).
D. J. Klein and X. Liu, Int. J. Quantum Chem. S28, 501 (1994).
N. Trinajstic, Chemical Graph Theory, CRC Press, Boca Raton, Florida (1992).
A. T. Balaban, M. Banciu, and V. Ciorba, Annutenes, Benzo-, Hetero-, Homo-Derivatives and Their Valence Isomers, CRC Press, Boca Raton, Florida (1987).
D. Hilbert and S. Cohn-Vossen, Geometry and the Imagination, Chelsea, New York (1952).
P. J. Giblin, Graphs, Surfaces and Homology, Chapman & Hall, London (1981).
J. L. Gross and T. N. Tucker, Topological Graph Theory, John Wiley & Sons, New York (1987).
J. Stillwell, Classical Topology and Combinatorial Group Theory, Springer-Verlag, Berlin (1980).
V. Parasuk and J. Almlof, Chem. Phys. Lett. 184, 187 (1991).
M. Sawtarie, M. Menon. and K. R. Suvvaswamy, Phys. Rev. B 49, 7739 (1994).
P. R. Taylor, E. Bylaska, J. H. Weare, and R. Kawai, Chem. Phys. Lett. 235, 558 (1995).
D. A. Plattner and K. N. Houk, J. Am. Chem. Soc. 117, 4405 (1995).
X. Jing and J. R. Chelikowsky, Phys. Rev. B 46, 15503 (1992).
G. von Helden, M. T. Hsu, N. G. Gotts, P. R. Kemper, and M. T. Bowers, Chem. Phys. Leu. 204, 15 (1993).
V. A. Schweigert, A. L. Alexandrov, Y. N. Morokov. and V. M. Bedanov, Chem. Phys. Lett. 235, 221 (1995).
G. von Helden, N. G. Gotts, and M. T. Bowers, Nature 363, 60 (1993).
J. Hunter, J. Fye, and M. F. Jarrold, J. Phys. Chem. 97, 3460 (1993).
M. Ehbrecht, M. Raerber, F. Rohmund, V. V. Smirnov, O. Stelmakh, and F. Huisken, Chem. Phys. Lett. 214, 34 (1993).
H. Schwartz, Angew. Chem. Int. Ed. Engl. 32, 1412 (1993).
Q. L. Zhang, S. C. O’Brien, J. R. Heath, Y. Liu, R. F. Curl, H. W. Kroto, and R. E. Smalley, J. Phys. Chem. 90, 525 (1986).
D. J. Klein and T. G. Schmalz, in: Quasicrystals, Networks, and Molecules of Fivefold Symmetry (I. Hargittai, ed.), pp. 239–246, Springer-Verlag, Berlin (1990).
R. E. Haufler, Y. Chai, L. P. F. Chibante, J. Conceico, C. Jin, L.-S. Wang. S. Maryuma, and R. E. Smalley, Mt. Res. Soc. Symp. Proc. 206, 627 (1991).
J. R. Heath, in: Fullerenes (G. S. Hammond and V. J. Kuck, eds.), pp. 1–23, American Chemical Society, Washington, DC (1992).
T. Wakabayashi and Y. Achiba, Chem. Phys. Lett. 190, 465 (1992).
T. Belz, H. Werner, F. Semlin, U. Klengler, M. Wesemann, B. Tesche, E. Zeitler, A. Reller, and R. Schlögl, Angew. Chem. Int. Ed. Engl. 33, 1866 (1994).
T. Wakabayashi, H. Shiromaru, K. Kikuchi, and Y. Achiba, Chem. Phys. Lett. 201, 470 (1993).
H. Hadwiger, J. Reine & Angew. Math. 194, 101 (1955).
G.-C. Rota, in: Studies in Pure Mathematics (L. Mirsky, ed.), pp. 221–233, Academic Press, New York (1971).
Y. A. Shashkin, The Euler Characteristic, MIR Publ., Moscow (1984).
A. T. Balaban, X. Liu, D. J. Klein, D. Babic, T. G. Schmalz, W. A. Seitz, and M. Randic. J. Chem. Inf. Comput. Sci. 35, 396 (1995).
A. Baeyer, Chem. Ber. 18, 2269 (1885).
N. L. Allinger, M. T. Tribble, M. A. Millar, and D. W. Wertz, J. Am. Chem. Soc. 93, 1637 (1971).
E. M. Engler, J. D. Andose, and P. v. R. Schleyer, J. Am. Chem. Soc. 95, 8005 (1973).
R. Huisgen, Angew. Chem. Int. Ed. Engl. 25, 297 (1986).
Articles in Molecular Structure and Energetics, Vols. 1 and 2 (J. F. Liebman and A. Greenberg, eds.), Verlag-Chemie, New York (1986 & 1987).
D. J. Struik, Classical Differential Geometry, Dover Publications, New York (1988).
T. Y. Thomas, Tensor Analysis and Differential Geometry, Academic Press, New York (1965).
B. Grünbaum, Convex Polytopes, Chapter 13, Interscience, New York (1967).
D’A. Thompson, Growth and Form, 2nd ed., Cambridge University Press, London (1943).
C. S. Smith, Metal Interfaces, pp. 65–113, American Society of Metals, Cleveland, Ohio (1952).
A. F. Wells, The Third Dimension in Chemistry, Chapter 2, Oxford University Press, London (1956).
J. Langer and D. A. Singer, Bull. London Math. Soc. 16, 531 (1984).
R. Osserman, Am. Math. Mon. 97, 731 (1990).
H. Whitney, Am. J. Math. 54, 150 (1932).
D. J. Klein and X. Liu, J. Math. Chem. 11, 199 (1992).
K. I. Appel and W. Haken, Ill. J. Math. 21, 429 (1977).
K. I. Appel, W. Haken, and J. Koch, Ill. J. Math. 21, 491 (1977).
P. G. Tait, Proc. R. Soc. Edinburgh 10, 729 (1878–1880).
D. J. Klein, T. G. Schmalz, G. E. Hite, and W. A. Seitz, J. Am. Chem. Soc. 108, 1301 (1986).
D. J. Klein, W. A. Seitz, and T. G. Schmalz, Nature 323, 703 (191986).
X. Liu, D. J. Klein, W. A. Seitz, and T. G. Schmalz, J. Comp. Chem. 12, 1265 (191991).
X. Liu, T. G. Schmalz, and D. J. Klein, Chem. Phys. Lett. 188, 550 (1992).
X. Liu, D. J. Klein, and T. G. Schmalz, Fullerene Sci. Technol. 2, 405 (1994).
K. Fries, Liebigs Ann. Chem. 454, 121 (1927).
K. Fries, R. Walter, and K. Schilling, Liebigs Ann. Chem. 516, 248 (1935).
W. C. Herndon, Thermochim. Acta 8, 225 (1974).
M. Randić, Tetrahedron 33, 1905 (1977).
D. J. Klein, J. Chem. Educ. 69, 691 (1992).
M. Ramdić, S. Nikolic, and N. Trinajstić, Croat. Chem. Acta 60, 595 (1987).
R. Taylor, J. Chem. Soc. Perkin Trans. 2, 3 (1991). 131. W. T. Simpson, J. Am. Chem. Soc. 73, 593 (1953).
W. T. Simpson, J. Am. Chem. Soc. 74, 6285 (1954).
D. J. Klein and N. Trinajstić, Pure Appl. Chem. 61, 2107 (1989).
P. W. Fowler, Chem. Phys. Lett. 131, 444 (1986).
P. W. Fowler, J. E. Cremmona, and J. I. Steer, Theor. Chim. Acta 73, 1 (1988).
R. J. Johnston, J. Chem. Soc. Faraday Trans. 87, 3353 (1991).
D. R. Woodall and P. W. Fowler, J. Chem. Soc. Faraday Trans. 88, 2427 (1992).
P. W. Fowler, J. Chem. Soc. Perkin Trans. 2, 145 (1992).
B. Grünbaum and T. S. Motzkin, Can. J. Math. 15, 744 (1963).
H. W. Kroto, Nature 329, 529 (1987).
M. Goldberg, Tohoku Math. J. 43, 104 (1937).
J. S. Rutherford, J. Math. Chem. 14, 385 (1993).
A. C. Tang, Q. S. Li, C. W. Liu, and J. Li, Chem. Phys. Lett. 201, 465 (1993).
A. C. Tang, F. Q. Huang, Q. S. Li, and R. Z. Liu, Chem. Phys. Lett. 227, 579 (1994).
A. C. Tang and F. Q. Huang, Phys. Rev. B 51, 13830 (1995).
P. W. Fowler, J. Chem. Soc. Faraday Trans. 86, 2073 (1990).
Y.-N. Chiu and B.-C. Wang, J. Mol. Struct. 283, 13 (1993).
Y.-N. Chiu, P. Ganelin, X. Jiang, and B.-C. Wang, J. Mol. Struct. 312, 215 (1994).
X. Liu, D. J. Klein, T. G. Schmalz, and W. A. Seitz, J. Comput. Chem. 12, 1252 (1991).
X. Liu and D. J. Klein, J. Comput. Chem. 12, 1260 (1991).
B. Mackay, Congressus Numerant, 30, 45 (1981).
T. G. Schmalz, X. Liu, and D. J. Klein, Chem. Phys. Lett. 192, 331 (1992).
P. W. Fowler and D. E. Manolopolous, An Atlas of Fallerenes, Oxford University Press, London (1994).
D. E. Manolopolous, J. C. May, and S. E. Down, Chem. Phys. Lett. 181, 105 (1991).
D. E. Manolopolous and P. W. Fowler, Chem. Phys. Lett. 204. l (1993).
D. Babic and N. Trinajstić, Comput. Chem. 17, 271 (1993).
D. Babic, D. J. Klein, and C. H. Sah, Chem. Phys. Lett. 211, 235 (1993).
H. Hosoya, U. Nagashima, and S. Hyugaji, J. Chem. Inf. Comput. Sci. 34, 428 (1994).
Y.-D. Gao and W. C. Herndon, J. Am. Chem. Soc. 115, 8459 (1993).
D. Babic and N. Trinajstić Chem. Phys. Lett. 237, 239 (1995).
R. Tosic and S. J. Cyvin, Zb. Rad. Priv. Mat. Fak. Univ. Novom Sadu 22 (1992).
H. Sachs, J. Chem. Inf. Comput. Sci. 34, 432 (1994).
M. Randić Y. Tsukano. and H. Hosoya, Nat. Sci. Rep. Ochanumizu Univ. 45, 101 (1994).
E. C. Kirby, Croat. Chem. Acta 66, 13 (1993).
E. C. Kirby, R. B. Mallion, and P. Pollak, J. Chem. Soc. Faraday Trans. 89, 1945 (1993).
D. J. Klein, J. Chem. Inf. Comput. Sci. 34, 453 (1994).
D. J. Klein and H.-Y. Zhu, Disc. Appl. Math. 67, 157 (1996).
J. Szucs, D. J. Klein, and H.-Y. Zhu, unpublished results.
A. Altshuler, Disc. Math. 1, 299 (1972).
A. Altshuler, Disc. Math. 4, 201 (1973).
B. I. Dunlap, Phys. Rev. B 46, 1933 (1992).
S. Itoh, S. Ihara, and J. Kitakami, Phys. Rev. B 47, 1703 (1993).
S. Ihara, S. Itoh, and J. Kitakami, Phys. Rev. B 47, 12908 (1993).
E. G. Galpern, I. V. Stankevich, A. L. Chistyakov, and L. A. Chernozatonskii, Fullerene Sci. Technol. 2, 1 (1994).
S. Itoh and S. Ihara, Phys. Rev. B 48, 8323 (1993).
S. Itoh and S. Ihara, Phys. Rev. B 49, 13970 (1994).
J. C. Greer, S. Itoh, and S. Ihara, Chem. Phys. Lett. 222, 621 (1994).
B. Borstnik and D. Lukman, Chem. Phys. Lett. 228, 312 (1994).
J. K. Johnson, B. N. Davison, M. R. Pederson, and J. Q. Broughton, Phys. Rev. B 50, 17575 (1994).
J. E. Avron and J. Berger, Phys. Rev. A 51, 1146 (1995).
F. Klein, Theorie der Algebraischen Funktionen und Ihre Integrate, Teubner, Leipzig (1882).
E. A. Rohlfing, D. M. Cox, and A. Kaldor, J. Chem. Phys. 81, 3322 (1984).
W. Weltner and R. VanZee, Chem. Rev. 89, 1713 (1989).
P. Gerhardt, S. Loffler, and K. H. Homann, Chem. Phys. Lett. 137, 306 (1987).
P. P. Radi, M. T. Hsu, J. Brodbelt-Lustig, M. Rincon, and M. T. Bowers, J. Chem. Phys. 92, 4817 (1990).
D. K. Bohme, Chem. Rev. 92, 1487 (1992).
M. Ge and K. Sattler, Science 260, 515 (1993).
M. Ge and K. Sattler, Appl. Phys. Lett. 64, 710(1994).
D. S. Bethune, C. H. Klang, M. S. deVries, G. Gorman. R. Savoy, J. Vazquez, and R. Beyers, Nature 363, 605 (1993).
S. Iijima and T. Ichihashi. Nature 363, 603 (1993).
S. Wang and D. Zhou, Chem. Phys. Lett 225, 165 (1994).
J. M. Lambert, P. M. Ajayan, P. Bernier, J. M. Planeix, V. Brotons, B. Coq, and J. Castaing, Chem. Phys. Lett. 226, 364 (1994).
D. T. Colbert, J. Zhang, S. M. McClure, P. Nikolaev, Z. Chen, J. H. Hafner, D. M. Owens. P. G. Kotula, C. B. Carter, J. H. Weaver, A. G. Rinzler, and R. E. Smalley, Science 266, 1218 (1994).
Y. Saito, M. Okuda, M. Tomita, and T. Hayashi, Chem. Phys. Lett. 236, 419 (1995).
S. Iijima, P. M. Ajayan, and T. Ichihashi, Phys. Rev. Lett. 69, 3100 (1992).
P. M. Ajayan, T. Ichihashi, and S. Iijima, Chem. Phys. Lett. 202, 384 (1993).
Y. Saito, T. Yoshikawa, M. Inayak, M. Tomita, and T. Hayashi, Chem. Phys. Lett. 204, 277 (1993).
N. Hatta and K. Murata, Chem. Phys. Lett. 217, 398 (1994).
S. Amelinckx, X. B. Zhang, D. Bernaerts, X. F. Zhang, V. Iranov, and J. B. Nagy, Science 265, 635 (1994).
L. A. Chernozatonskii, Z. J. Kosakovskaja, A. N. Kiselev, and N. A. Kiselev, Chem. Phys. Lett. 228, 94(1994).
E. Dujardin, T. W. Ebbesen, H. Hiura, and K. Tanigaki, Science 265, 1850 (1994).
N. Kprinarov, M. Marinov, G. Pchelarov, M. Konstantinova, and R. Stefanov, J. Phys. Chem. 99, 2042(1995).
P. M. Ajayan and S. Iijima, Nature 361, 333 (1993).
R. S. Ruoff, D. C. Lorents, B. Chan, R. Malhorta, and S. Subramoney, Science 259, 346 (1993).
P. M. Ajayan, T. W. Ebbesen, T. Schihashi, S. Iijima, K. Tanigaki, and H. Hiora, Nature 362, 522 (1993).
S. C. Tsang, P. J. F. Harris, and M. L. H. Green, Nature 362, 520 (1993).
S. C. Tsang, Y. K. Chen, P. J. F. Harris, and M. L. H. Green, Nature 372, 159 (1994).
D. J. Klein, W. A. Seitz, and T. G. Schmalz, J. Phys. Chem. 97, 1231 (1993).
D. H. Robertson, D. W. Brenner, and J. W. Mintmire, Phys. Rev. B 45, 12592 (1992).
J. W. Mintmire, D. H. Robertson, B. F. Dunlap, R. C. Mowrey, D. W. Brenner, and C. T. White, Mater. Res. Symp. Proc. 247, 339 (1992).
N. Hamada, S. Sawada, and A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992).
K. Tanaka, K. Okahara, M. Okada, and T. Yamabe, Chem. Phys. Rev. Lett. 191, 469 (1992).
Y.-D. Gao and W. C. Herndon, Mol. Phys. 77. 585 (1992).
R. Saito, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 46, 1804 (1992).
C. T. White, D. H. Robertson, and J. W. Mintmire, Phys. Rev. B 47, 5485 (1993).
B. J. Dunlap, Phys. Rev. B 49, 5643 (1994).
K. Okahara, K. Tanaka, H. Aoki, T. Sato, and T. Yamabe, Chem. Phys. Lett. 219, 462 (1994).
J. Aihara, J. Phys. Chem. 98, 9773 (1994).
J. Aihara, T. Yamabe, and H. Hosoya, Synth. Met. 64, 309 (1994).
R. A. Jishi, L. Ventataraman, M. S. Dresselhaus, and G. Dresselhaus, Phys. Rev. B 51, 11176 (1995).
D. J. Klein, G. E. Hite, W. A. Seitz, and T. G. Schmalz, Theor. Chim. Acta 69, 409 (1986).
S. Ihara, S. Itoh, and J. Kitakami, Phys. Rev. B 48, 5643 (1993).
K. Akagi, R. Tamura, M. Tsukade, S. Itoh, and S. Ihara, Phys. Rev. Lett. 74, 2307 (1995).
H.-Y. Zhu, A. T. Balaban, D. J. Klein, and T. P. Zivkovic, J. Chem. Phys. 101, 5281 (1994).
A. T. Balaban, D. J. Klein, and X. Liu, Carbon 32, 357 (1994).
J. R. Dias, J. Chem. Inf. Comput. Sci. 22, 139 (1982).
S. J. Cyvin, J. Math. Chem. 9, 389 (1992).
S. J. Cyvin, J. Brunvoll, and B. N. Cyvin, Chem. Phys. Lett. 205, 343 (1993).
M. Ge and K. Sattler, Chem. Phys. Lett. 220, 192 (1994).
B. Grünbaum and G. C. Shepard, Tilings and Patterns, Freeman, San Francisco (1986).
D. Vanderbilt and J. Tersoff, Phys. Rev. Lett. 68, 511 (1992).
T. Lenosky, X. Gonze, M. Teter, and V. Elser, Nature 355, 333 (1992).
R. Phillips, D. A. Drabold. T. Lenonsky, G. B. Adams, and O. F. Sankey, Phys. Rev. 46. 1941 (1992).
S. J. Townsend, T. J. Lenonsky, D. A. Muller, C. S. Nichols, and V. Elser, Phys. Rev. Leu. 69, 921 (1992).
H. Terrones and A. L. Mackay, Chem. Phys. Lett. 207, 45 (1993).
H. Terrones and A. L. Mackay, J. Math. Chem. 15, 183 (1994).
A. J. Stone and D. J. Wales, Chem. Phys. Lett. 128, 501 (1986).
G. E. Scuseria, Chem. Phys. Lett. 195, 534 (1992).
R. L. Murray, D. L. Stout, G. K. Odom, and G. E. Scuseria, Nature 366, 665 (1993).
D. Babic and N. Trinajstić, Compul. Chem. 17, 271 (1993).
R. F. Curl, Carbon 30, 1149(1992).
R. F. Curl, Philos. Trans. K. Soc. 343, 19 (1993).
D. Babic, S. Bassoli, M. Casartelli, F. Cataldo, A. Graovac, O. Ori, and B. York, Mol. Simul. 14, 395 (1995).
A. T. Balaban, T. G. Schmalz, H.-Y. Zhu, and D. J. Klein, J. Mol. Struct. (Theochem.) 363, 291 (1996).
S. C. O’Brien, J. R. Heath, R. F. Curl, and R. E. Smalley, J. Chem. Phvs. 88, 220 (1988).
P. O. Radi, T. L. Bunn, P. R. Kemper, M. E. Molchan, and M. T. Bowers, J. Chem. Phys. 88, 2809 (1988).
C. J. Brabec, A. Maiti, and J. Bernholc, Chem. Phys. Lett. 219, 473 (1994).
J. R. Dias, Chem. Phys. Lett. 204, 486 (1993).
P. W. Fowler, S. J. Austin, O. J. Dunning, and J. R. Dias, Chem. Phys. Lett. 224, 123 (1994).
D. Babic, N. Trinajstić, and D. J. Klein, Croat. Chem. Acta 67, 37 (1994).
C. H. Sah, Croat. Chem. Acta 66, 1 (1993).
R. H. Baughman, D. S. Galvao, C. Cui, Y. Wang, and D. Tomanek, Chem. Phys. Lett. 204, 8 (1993).
R. H. Baughman, H. Eckhardt, and M. Kertesz, J. Chem. Phys. 87, 6687 (1987).
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© 2002 Kluwer Academic Publishers
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Klein, D.J., Zhu, H. (2002). All-Conjugated Carbon Species. In: Balaban, A.T. (eds) From Chemical Topology to Three-Dimensional Geometry. Topics in Applied Chemistry. Springer, Boston, MA. https://doi.org/10.1007/0-306-46907-3_9
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