메뉴 건너뛰기




Volumn 47, Issue 3, 2007, Pages 897-904

Numerical Kekulé structures of fullerenes and partitioning of π-electrons to pentagonal and hexagonal rings

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; ELECTRONS; FULLERENES; NUMERICAL METHODS;

EID: 34250885223     PISSN: 15499596     EISSN: 1549960X     Source Type: Journal    
DOI: 10.1021/ci600484u     Document Type: Article
Times cited : (23)

References (63)
  • 2
    • 21044452372 scopus 로고    scopus 로고
    • Atlas of Kekulé valence structures of Buckminsterfullerene
    • Vukičević, D.; Kroto, H. W.; Randić, M. Atlas of Kekulé valence structures of Buckminsterfullerene. Croat. Chem. Acta 2005, 78, 223-234.
    • (2005) Croat. Chem. Acta , vol.78 , pp. 223-234
    • Vukičević, D.1    Kroto, H.W.2    Randić, M.3
  • 3
    • 11144271569 scopus 로고    scopus 로고
    • On Kekulé structures of buckminster-fullerene
    • Vukičević, D.; Randić, M. On Kekulé structures of buckminster-fullerene. Chem. Phys. Lett. 2005, 401, 446-450.
    • (2005) Chem. Phys. Lett , vol.401 , pp. 446-450
    • Vukičević, D.1    Randić, M.2
  • 4
    • 0028715548 scopus 로고
    • On assembling fullerenes from identical fragments
    • Babić, D.; Trinajstić, N. On assembling fullerenes from identical fragments. Fullerene Sci. Technol. 1994, 2, 343-356.
    • (1994) Fullerene Sci. Technol , vol.2 , pp. 343-356
    • Babić, D.1    Trinajstić, N.2
  • 5
    • 0141789719 scopus 로고    scopus 로고
    • Aromaticity of Polycyclic Conjugated Hydrocarbons
    • Randić, M. Aromaticity of Polycyclic Conjugated Hydrocarbons. Chem. Rev. 2003, 1038, 3449-3605.
    • (2003) Chem. Rev , vol.1038 , pp. 3449-3605
    • Randić, M.1
  • 7
    • 0042437389 scopus 로고
    • Graph theoretical derivation of Pauling bond orders
    • For a graph theoretical approach to Pauling bond orders see
    • For a graph theoretical approach to Pauling bond orders see: Randić, M. Graph theoretical derivation of Pauling bond orders. Croat. Chem. Acta 1975, 47, 71-78.
    • (1975) Croat. Chem. Acta , vol.47 , pp. 71-78
    • Randić, M.1
  • 8
    • 0002381068 scopus 로고
    • Conjugated circuits and resonance energies of benzenoid hydrocarbons
    • Randić, M. Conjugated circuits and resonance energies of benzenoid hydrocarbons. Chem. Phys. Lett. 1976, 38, 68-70.
    • (1976) Chem. Phys. Lett , vol.38 , pp. 68-70
    • Randić, M.1
  • 9
    • 0000661751 scopus 로고
    • Aromaticity and conjugation
    • Randić, M. Aromaticity and conjugation. J. Am. Chem. Soc. 1977, 99, 444-450.
    • (1977) J. Am. Chem. Soc , vol.99 , pp. 444-450
    • Randić, M.1
  • 10
    • 0001462854 scopus 로고
    • A graph theoretical approach to conjugation and resonance energies of hydrocarbons
    • Randić, M. A graph theoretical approach to conjugation and resonance energies of hydrocarbons. Tetrahedron 1977, 33, 1905-1920.
    • (1977) Tetrahedron , vol.33 , pp. 1905-1920
    • Randić, M.1
  • 11
    • 0009601095 scopus 로고
    • Local aromatic properties of benzenoid hydrocarbons
    • Randić, M. Local aromatic properties of benzenoid hydrocarbons. Pure Appl. Chem. 1980, 52, 1587-1596.
    • (1980) Pure Appl. Chem , vol.52 , pp. 1587-1596
    • Randić, M.1
  • 12
    • 0002599209 scopus 로고
    • Kekulé valence structures revisited. Innate degree of freedom of pi-electron coupling
    • Trinajstić, N, Ed, Ellis Horwood: New York
    • Randić, M.; Klein, D. J. Kekulé valence structures revisited. Innate degree of freedom of pi-electron coupling. In Mathematical and Computational Concepts in Chemistry; Trinajstić, N., Ed.; Ellis Horwood: New York, 1985; pp 274-282.
    • (1985) Mathematical and Computational Concepts in Chemistry , pp. 274-282
    • Randić, M.1    Klein, D.J.2
  • 13
    • 84988097380 scopus 로고
    • Innate degree of freedom of a graph
    • Klein, D. J.: Randić, M. Innate degree of freedom of a graph. J. Comput. Chem. 1987, 8, 516-521.
    • (1987) J. Comput. Chem , vol.8 , pp. 516-521
    • Klein, D.J.1    Randić, M.2
  • 14
    • 0000451607 scopus 로고
    • Graphical Properties of Polyhexes: Perfect Matching Vector and Forcing
    • Harary, F.; Klein, D. J.; Živković, T. P. Graphical Properties of Polyhexes: Perfect Matching Vector and Forcing. J. Math. Chem. 1991, 6, 295-306.
    • (1991) J. Math. Chem , vol.6 , pp. 295-306
    • Harary, F.1    Klein, D.J.2    Živković, T.P.3
  • 15
    • 0000861388 scopus 로고
    • A correlation between Kekulé valence structures and conjugated circuits
    • Gutman, I.; Randić, M. A correlation between Kekulé valence structures and conjugated circuits. Chem. Phys. 1979, 41, 265-270.
    • (1979) Chem. Phys , vol.41 , pp. 265-270
    • Gutman, I.1    Randić, M.2
  • 16
    • 34250820628 scopus 로고    scopus 로고
    • 17
    • 17
  • 18
    • 0000893912 scopus 로고
    • On maximal valence structures
    • Randić, M.; Pisanski, T. On maximal valence structures. Rep. Mol. Theory 1990, 1, 107-114.
    • (1990) Rep. Mol. Theory , vol.1 , pp. 107-114
    • Randić, M.1    Pisanski, T.2
  • 19
    • 0000608843 scopus 로고
    • Graph theoretical approach to local and overall aromaticity of benzenoid hydrocarbons
    • Randić, M. Graph theoretical approach to local and overall aromaticity of benzenoid hydrocarbons. Tetrahedron 1975, 31, 1477-.
    • (1975) Tetrahedron , vol.31 , pp. 1477
    • Randić, M.1
  • 20
    • 0002646891 scopus 로고
    • Signifikante Elektronstrukturen für benzenoide Kohlenwasserstoffe
    • Gründler, W. Signifikante Elektronstrukturen für benzenoide Kohlenwasserstoffe. Wiss. Z. Univ. Halle 1982, 31, 97-116.
    • (1982) Wiss. Z. Univ. Halle , vol.31 , pp. 97-116
    • Gründler, W.1
  • 22
    • 0000181826 scopus 로고    scopus 로고
    • Resonance in catacondensed benzenoid hydrocarbons
    • Randić, M. Resonance in catacondensed benzenoid hydrocarbons. Int. J. Quantum Chem. 1997, 63, 585-600.
    • (1997) Int. J. Quantum Chem , vol.63 , pp. 585-600
    • Randić, M.1
  • 23
    • 1842639459 scopus 로고    scopus 로고
    • Algebraic Kekulé formulas for benzenoid hydrocarbons
    • Randić, M. Algebraic Kekulé formulas for benzenoid hydrocarbons. J. Chem. Inf. Comput. Sci. 2004, 44, 365-372.
    • (2004) J. Chem. Inf. Comput. Sci , vol.44 , pp. 365-372
    • Randić, M.1
  • 24
    • 34250839670 scopus 로고    scopus 로고
    • Characterization of benzenoids based on π-electron ring partitions. Ring signatures for seven-ring cata-condensed benzenoids
    • Submitted for publication
    • Randić, M.; Balaban, A. T. Characterization of benzenoids based on π-electron ring partitions. Ring signatures for seven-ring cata-condensed benzenoids. J. Chem. Inf. Comput. Sci. Submitted for publication.
    • J. Chem. Inf. Comput. Sci
    • Randić, M.1    Balaban, A.T.2
  • 25
    • 84995182477 scopus 로고
    • Clar theory of local benzene-like regions in condensed aromatic compounds
    • Polansky, O. E.; Derflinger, G. Clar theory of local benzene-like regions in condensed aromatic compounds. Int. J. Quantum Chem. 1967, 1, 379-401.
    • (1967) Int. J. Quantum Chem , vol.1 , pp. 379-401
    • Polansky, O.E.1    Derflinger, G.2
  • 26
    • 0001285215 scopus 로고
    • On the characterization of local aromatic properties on benzenoid hydrocarbons
    • Randić, M. On the characterization of local aromatic properties on benzenoid hydrocarbons. Tetrahedron 1974, 30, 2067-2074.
    • (1974) Tetrahedron , vol.30 , pp. 2067-2074
    • Randić, M.1
  • 27
    • 0001636358 scopus 로고
    • Characterization of local benzenoid features in polycyclic conjugated hydrocarbons
    • Randić, M.; Plavšić, D.; Trinajstić, N. Characterization of local benzenoid features in polycyclic conjugated hydrocarbons. Gazz. Chi. Ital. 1988, 118, 441-446.
    • (1988) Gazz. Chi. Ital , vol.118 , pp. 441-446
    • Randić, M.1    Plavšić, D.2    Trinajstić, N.3
  • 28
    • 0007626307 scopus 로고
    • On global and local properties of Clar π-electron sextets
    • El-Basil, S.; Randić, M. On global and local properties of Clar π-electron sextets. J. Math. Chem. 1987, 1, 281-307.
    • (1987) J. Math. Chem , vol.1 , pp. 281-307
    • El-Basil, S.1    Randić, M.2
  • 29
    • 17744400498 scopus 로고    scopus 로고
    • Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons: Part 6. Comparison with other methods for estimating the local aromaticity of rings in polycyclic benzenoids
    • Balaban, A. T.; Randić, M. Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons: Part 6. Comparison with other methods for estimating the local aromaticity of rings in polycyclic benzenoids. J. Math. Chem. 2005, 37, 443-453.
    • (2005) J. Math. Chem , vol.37 , pp. 443-453
    • Balaban, A.T.1    Randić, M.2
  • 30
    • 17744385437 scopus 로고
    • Partial structure analysis of conjugated systems. I. Benzene character
    • Sakurai, K.; Kitaura, K.; Nishimoto, K. Partial structure analysis of conjugated systems. I. Benzene character. Theor. Chim. Acta 1986, 69, 23-34.
    • (1986) Theor. Chim. Acta , vol.69 , pp. 23-34
    • Sakurai, K.1    Kitaura, K.2    Nishimoto, K.3
  • 31
    • 0001052501 scopus 로고    scopus 로고
    • The valence bond calculations for conjugated hydrocarbons having 24-28 π-electrons
    • Wu, J.; Jiang, Y. The valence bond calculations for conjugated hydrocarbons having 24-28 π-electrons. J. Comput. Chem. 2000, 21, 856-869.
    • (2000) J. Comput. Chem , vol.21 , pp. 856-869
    • Wu, J.1    Jiang, Y.2
  • 32
    • 0011690121 scopus 로고
    • A quantum chemical approach to definition of aromaticity
    • Kruszewski, J.; Krygovski, T. M. A quantum chemical approach to definition of aromaticity. Tetrahedron Lett. 1970, 11, 319-324.
    • (1970) Tetrahedron Lett , vol.11 , pp. 319-324
    • Kruszewski, J.1    Krygovski, T.M.2
  • 33
    • 0000867708 scopus 로고
    • Definition of aromaticity basing on the harmonic oscillator model
    • Kruszewski, J.; Krygovski, T. M. Definition of aromaticity basing on the harmonic oscillator model. Tetrahedron Lett. 1972, 13, 3839-3842.
    • (1972) Tetrahedron Lett , vol.13 , pp. 3839-3842
    • Kruszewski, J.1    Krygovski, T.M.2
  • 34
    • 0035353541 scopus 로고    scopus 로고
    • Structural aspects of aromaticity
    • Krygovski, T. M.; Cyranski, M. K. Structural aspects of aromaticity. Chem. Rev. 2001, 101, 1385-1419.
    • (2001) Chem. Rev , vol.101 , pp. 1385-1419
    • Krygovski, T.M.1    Cyranski, M.K.2
  • 37
    • 3242728776 scopus 로고    scopus 로고
    • Partitioning of π -electrons in rings of polycyclic benzenoid hydrocarbons. 1. Catacondensed Benzenoids
    • Randić, M.; Balaban, A. T. Partitioning of π -electrons in rings of polycyclic benzenoid hydrocarbons. 1. Catacondensed Benzenoids. Polycyclic Aromat. Compd. 2004, 24, 173-193.
    • (2004) Polycyclic Aromat. Compd , vol.24 , pp. 173-193
    • Randić, M.1    Balaban, A.T.2
  • 38
    • 1842679422 scopus 로고    scopus 로고
    • Partitioning of π -electrons in rings of polycyclic benzenoid hydrocarbons. 2. Catacondensed Coronoids
    • Randić, M.; Balaban, A. T. Partitioning of π -electrons in rings of polycyclic benzenoid hydrocarbons. 2. Catacondensed Coronoids. J. Chem. Inf. Comput. Sci. 2004, 44, 50-59.
    • (2004) J. Chem. Inf. Comput. Sci , vol.44 , pp. 50-59
    • Randić, M.1    Balaban, A.T.2
  • 39
    • 4243160739 scopus 로고    scopus 로고
    • Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 3. Perifusenes
    • Balaban, A. T.; Randić, M. Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 3. Perifusenes. New J. Chem. 2004, 28, 800-806.
    • (2004) New J. Chem , vol.28 , pp. 800-806
    • Balaban, A.T.1    Randić, M.2
  • 40
    • 5444261930 scopus 로고    scopus 로고
    • Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 4. Benzenoids with more than one geometric Kekulé structure corresponding to the same algebraic Kekulé structure
    • Vukičević, D.; Randić, M.; Balaban, A. T. Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 4. Benzenoids with more than one geometric Kekulé structure corresponding to the same algebraic Kekulé structure. J. Math. Chem. 2004, 36, 271-279.
    • (2004) J. Math. Chem , vol.36 , pp. 271-279
    • Vukičević, D.1    Randić, M.2    Balaban, A.T.3
  • 41
    • 5444260130 scopus 로고    scopus 로고
    • Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 5. Nonalternant compounds
    • Balaban, A. T.; Randić, M. Partitioning of π-electrons in rings of polycyclic conjugated hydrocarbons. Part 5. Nonalternant compounds. J. Chem. Inf. Comput. Sci. 2004, 44, 1701-1707.
    • (2004) J. Chem. Inf. Comput. Sci , vol.44 , pp. 1701-1707
    • Balaban, A.T.1    Randić, M.2
  • 42
    • 4243160739 scopus 로고    scopus 로고
    • Partitioning of π-Electrons in Rings of Polycyclic Hydrocarbons. Part 7. Clar Structures of Benzenoids
    • Randić, M.; Balaban, A. T. Partitioning of π-Electrons in Rings of Polycyclic Hydrocarbons. Part 7. Clar Structures of Benzenoids. New J. Chem. 2004, 28, 800-806.
    • (2004) New J. Chem , vol.28 , pp. 800-806
    • Randić, M.1    Balaban, A.T.2
  • 45
    • 33846431646 scopus 로고    scopus 로고
    • On Algebraic and geometrical structures in benzenoid rotagraphs
    • Graovac, A.; Vukičević, D.; Žerovnik, J. On Algebraic and geometrical structures in benzenoid rotagraphs. Croat. Chem. Acta 2006, 79, 373-377.
    • (2006) Croat. Chem. Acta , vol.79 , pp. 373-377
    • Graovac, A.1    Vukičević, D.2    Žerovnik, J.3
  • 46
    • 2442719090 scopus 로고    scopus 로고
    • On π-electron content of bonds and rings in benzenoid hydrocarbons
    • Gutman, I.; Morikawa, T.; Narita, S. On π-electron content of bonds and rings in benzenoid hydrocarbons. Z. Naturforsch., A: Phys. Sci. 2004, 59a, 295-298.
    • (2004) Z. Naturforsch., A: Phys. Sci , vol.59 a , pp. 295-298
    • Gutman, I.1    Morikawa, T.2    Narita, S.3
  • 47
    • 9544221633 scopus 로고    scopus 로고
    • Relation between Pauling and Coulson bond orders in benzenoid hydrocarbons
    • Gutman. I.; Furtula, B.; Randenkovic, S. Relation between Pauling and Coulson bond orders in benzenoid hydrocarbons. Z. Naturforsch., A: Phys. Sci. 2004, 59a, 699-704
    • (2004) Z. Naturforsch., A: Phys. Sci , vol.59 a , pp. 699-704
    • Gutman, I.1    Furtula, B.2    Randenkovic, S.3
  • 50
    • 37049175980 scopus 로고
    • Polynuclear heterocyclic aromatic types, Part II. Some anhydronium bases
    • Armit, T. W.; Robinson, R. Polynuclear heterocyclic aromatic types, Part II. Some anhydronium bases. J. Chem. Soc. 1925, 1604-1618.
    • (1925) J. Chem. Soc , pp. 1604-1618
    • Armit, T.W.1    Robinson, R.2
  • 51
    • 0001171309 scopus 로고    scopus 로고
    • A history of the structural theory of benzene - The aromatic sextet rule and Hückel rule
    • Kikuchi, S. A history of the structural theory of benzene - The aromatic sextet rule and Hückel rule. J. Chem. Educ. 1997, 74, 194-200.
    • (1997) J. Chem. Educ , vol.74 , pp. 194-200
    • Kikuchi, S.1
  • 52
    • 0035353543 scopus 로고    scopus 로고
    • Big is beautiful - "Aromaticity" revisited from the viewpoint of macromolecular and supramolecular benzene chemistry
    • Watson, M. D.; Fechtenkötter, A.; Müllen, K. Big is beautiful - "Aromaticity" revisited from the viewpoint of macromolecular and supramolecular benzene chemistry. Chem. Rev. 2001, 1014, 1267-1300.
    • (2001) Chem. Rev , vol.1014 , pp. 1267-1300
    • Watson, M.D.1    Fechtenkötter, A.2    Müllen, K.3
  • 53
    • 0141845432 scopus 로고    scopus 로고
    • Quantum Chemical Justification for Clar' Valence Structures
    • Sen, K. D, Ed, World Scientific: Singapore
    • Randić, M. Quantum Chemical Justification for Clar' Valence Structures. Review of Modern Quantum Chemistry: A Celebration of Contributions of R. G. Parr; Sen, K. D., Ed.; World Scientific: Singapore, 2002; Vol. 1, pp 204-239.
    • (2002) Review of Modern Quantum Chemistry: A Celebration of Contributions of R. G. Parr , vol.1 , pp. 204-239
    • Randić, M.1
  • 54
    • 0036930817 scopus 로고    scopus 로고
    • Clar's π-Aromatic Sextet Revisited
    • Cooper, D. L. Ed, Elsevier: Amsterdam, Chapter 16, pp
    • Randić, M. Clar's π-Aromatic Sextet Revisited. In Valence Bond Theory, Cooper, D. L. Ed.; Elsevier: Amsterdam, 2002; Chapter 16, pp 503-533.
    • (2002) Valence Bond Theory , pp. 503-533
    • Randić, M.1
  • 56
    • 34250849855 scopus 로고    scopus 로고
    • On the Number of Clar Structures for Catacondensed Benzenoid Hydrocarbons
    • In press
    • Randić, M. On the Number of Clar Structures for Catacondensed Benzenoid Hydrocarbons. J. Math. Chem. In press.
    • J. Math. Chem
    • Randić, M.1
  • 58
    • 0000731698 scopus 로고
    • Theory of resonance topology of fully aromatic Hydrocarbons
    • Gordon, M.; Davison, W. H. T. Theory of resonance topology of fully aromatic Hydrocarbons. J. Chem. Phys. 1952, 20, 428-435.
    • (1952) J. Chem. Phys , vol.20 , pp. 428-435
    • Gordon, M.1    Davison, W.H.T.2
  • 59
    • 33847803218 scopus 로고
    • Resonance theory. V. Resonance energies of benzenoid and non-benzenoid π-systems
    • Herndon, W. C.; Ellzey, M. L. Resonance theory. V. Resonance energies of benzenoid and non-benzenoid π-systems. J. Am. Chem. Soc. 1974, 96, 6631-6642.
    • (1974) J. Am. Chem. Soc , vol.96 , pp. 6631-6642
    • Herndon, W.C.1    Ellzey, M.L.2
  • 60
    • 0001285215 scopus 로고
    • On the characterization of local aromatic properties in benzenopid hydrocarbons
    • Randić, M. On the characterization of local aromatic properties in benzenopid hydrocarbons. Tetrahedron 1974, 30, 2067-2074.
    • (1974) Tetrahedron , vol.30 , pp. 2067-2074
    • Randić, M.1
  • 61
    • 0001191922 scopus 로고
    • Analysis of "Clar's aromatic sextet" in polycyclic aromatic hydrocarbons
    • Aida, M.; Hosoya, H. Analysis of "Clar's aromatic sextet" in polycyclic aromatic hydrocarbons. Tetrahedron 1980, 36, 1317-1326.
    • (1980) Tetrahedron , vol.36 , pp. 1317-1326
    • Aida, M.1    Hosoya, H.2
  • 62
    • 27744530363 scopus 로고    scopus 로고
    • Nucleus-independent chemical shifts (NICS) as an aromaticity criterion
    • Chen, Z. F.; Wannere, C. S.; Corminboeuf, C.; Puchta, R.; Schleyer, P. V. R. Nucleus-independent chemical shifts (NICS) as an aromaticity criterion. Chem. Rev. 2005, 105, 3842-3888.
    • (2005) Chem. Rev , vol.105 , pp. 3842-3888
    • Chen, Z.F.1    Wannere, C.S.2    Corminboeuf, C.3    Puchta, R.4    Schleyer, P.V.R.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.