80. Gutman I, Vukičević D, Graovac A, Randić M (2004) Algebraic Kekulé structures of
benzenoid hydrocarbons. J Chem Inf Comput Sci 44:296–299
81. Gutman I, Morikawa T, Narita S (2004) On π-electron content of bonds and rings in
benzenoid hydrocarbons. Z Naturforsch 59a:295–298
82. Balaban AT, Randić M (2005) Partitioning of π-electrons in rings of polycyclic conjugated
hydrocarbons. 6. Comparisons with other methods for estimating the local aromaticity of
rings in polycyclic benzenoids. J Math Chem 37:443–453
83. Randić M, Balaban AT (2006) Partitioning of π-electrons in rings for Clar structures of
benzenoid hydrocarbons. J Chem Inf Model 46:57–64
84. Balaban AT, Randić M (2008) Correlations between various ways of accounting for the
distribution of π-electrons in benzenoids. New J Chem 32:1071–1078
85. Zubarev DY, Frenklach DY, Lester WA (2012) From aromaticity to self–organized criticality
in graphene. Phys Chem Chem Phys 14:12075–12078
86. Herndon WC (1974) Resonance theory. VI. Bond orders. J Am Chem Soc 96:7605–7614
87. Herndon WC, Párkányi C (1976) π-Bond orders and bond lengths. J Chem Educ 53:689–692
88. Párkányi C, Herndon WC (1978) Bond lengths and bond orders in π-electron heterocycles.
Phosphorus Sulphur 4:1–7
89. Pauling L (1980) Bond numbers and bond lengths in tetrabenzo[de, no, st, c1, d1]heptacene
and other condensed aromatic hydrocarbons: a valence–bond treatment. Acta Cryst B
36:1898–1901
90. Goddard R, Haenel MW, Herndon WC, Krüger C, Zander M (1995) Crystallization of large
planar polycyclic aromatic hydrocarbons: the molecular and crystal structures of hexabenzo
[bc, ef, hi, kl, no, qr]coronene and benzo[1,2,3-bc:4,5,6-b’c’]dicoronene. J Am Chem Soc
117:30–41
91. Narita S, Morikawa T, Shibuya T (2000) Linear relationship between the bond lengths and
the Pauling bond orders in fullerene molecules. J Mol Struct (Theochem) 532:37–40
92. Randić M (2010) Graph theoretical approach to π-electron currents in polycyclic conjugated
hydrocarbons. Chem Phys Lett 500:123–127
93. Gomes JANF, Mallion RB (2001) Aromaticity and ring currents. Chem Rev 101:1349–1383
94. Minkin VI, Glukhovtsev MN, Simkin BY (1994) Aromaticity and antiaromaticity. Electronic
and structural aspects. Wiley, New York
95. Aihara J (2006) Circuit resonance energy: a key quantity that links energetic and magnetic
criteria of aromaticity. J Am Chem Soc 128:2873–2879
96. Bultinck P, Fias S, Ponec R (2006) Local aromaticity in polycyclic aromatic hydrocarbons:
electron delocalization versus magnetic indices. Chem Eur J 12:8813–8818
97. Stanger A (2009) What is aromaticity: a critique of the concept of aromaticity—can it really
be defined?. Chem Commun 1939–1947
98. Ciesielski A, Krigowski TM, Cyrański MK, Dobrowolski MA, Aihara J (2009) Graph–
topological approach to magnetic properties of benzenoid hydrocarbons. Phys Chem Chem
Phys 11:11447–11455
99. Solá M, Feixas F, Jiménez-Halla JOC, Matito E, Poater J (2010) A critical assessment of the
performance of magnetic and electronic indices of aromaticity. Symmetry 2:1156–1179
100. Randić M, Plavšić D, Vukičević D (2011) π-Electron currents in fully aromatic benzenoids.
J Indian Chem Soc 88(2011):13–23
101. Randić M, Novič M, Vračko M, Plavšić D (2012) π-Electron currents in polycyclic
conjugated hydrocarbons: coronenene and its isomers having five and seven member rings.
Int J Quantum Chem 112:972–985
102. Randić M, Vukivcević D, Novič M, Plavšić D (2012) π-Electron currents in large fully
aromatic benzenoids. Int J Quantum Chem 112:2456–2462
103. Randić M, Novič M, Plavšić D (2012) π-Electron currents in fixed π-sextet aromatic
benzenoids. J Math Chem 50:2755–2774
104. Randić M, Vukičević D, Balaban AT, Vračko M, Plavvsić D (2012) Conjugated circuits
currents in hexabenzocoronene and its derivatives formed by joining proximal carbons.
J Comput Chem 33:1111–1122
318
I. Gutman and S. Radenković
benzenoid hydrocarbons. J Chem Inf Comput Sci 44:296–299
81. Gutman I, Morikawa T, Narita S (2004) On π-electron content of bonds and rings in
benzenoid hydrocarbons. Z Naturforsch 59a:295–298
82. Balaban AT, Randić M (2005) Partitioning of π-electrons in rings of polycyclic conjugated
hydrocarbons. 6. Comparisons with other methods for estimating the local aromaticity of
rings in polycyclic benzenoids. J Math Chem 37:443–453
83. Randić M, Balaban AT (2006) Partitioning of π-electrons in rings for Clar structures of
benzenoid hydrocarbons. J Chem Inf Model 46:57–64
84. Balaban AT, Randić M (2008) Correlations between various ways of accounting for the
distribution of π-electrons in benzenoids. New J Chem 32:1071–1078
85. Zubarev DY, Frenklach DY, Lester WA (2012) From aromaticity to self–organized criticality
in graphene. Phys Chem Chem Phys 14:12075–12078
86. Herndon WC (1974) Resonance theory. VI. Bond orders. J Am Chem Soc 96:7605–7614
87. Herndon WC, Párkányi C (1976) π-Bond orders and bond lengths. J Chem Educ 53:689–692
88. Párkányi C, Herndon WC (1978) Bond lengths and bond orders in π-electron heterocycles.
Phosphorus Sulphur 4:1–7
89. Pauling L (1980) Bond numbers and bond lengths in tetrabenzo[de, no, st, c1, d1]heptacene
and other condensed aromatic hydrocarbons: a valence–bond treatment. Acta Cryst B
36:1898–1901
90. Goddard R, Haenel MW, Herndon WC, Krüger C, Zander M (1995) Crystallization of large
planar polycyclic aromatic hydrocarbons: the molecular and crystal structures of hexabenzo
[bc, ef, hi, kl, no, qr]coronene and benzo[1,2,3-bc:4,5,6-b’c’]dicoronene. J Am Chem Soc
117:30–41
91. Narita S, Morikawa T, Shibuya T (2000) Linear relationship between the bond lengths and
the Pauling bond orders in fullerene molecules. J Mol Struct (Theochem) 532:37–40
92. Randić M (2010) Graph theoretical approach to π-electron currents in polycyclic conjugated
hydrocarbons. Chem Phys Lett 500:123–127
93. Gomes JANF, Mallion RB (2001) Aromaticity and ring currents. Chem Rev 101:1349–1383
94. Minkin VI, Glukhovtsev MN, Simkin BY (1994) Aromaticity and antiaromaticity. Electronic
and structural aspects. Wiley, New York
95. Aihara J (2006) Circuit resonance energy: a key quantity that links energetic and magnetic
criteria of aromaticity. J Am Chem Soc 128:2873–2879
96. Bultinck P, Fias S, Ponec R (2006) Local aromaticity in polycyclic aromatic hydrocarbons:
electron delocalization versus magnetic indices. Chem Eur J 12:8813–8818
97. Stanger A (2009) What is aromaticity: a critique of the concept of aromaticity—can it really
be defined?. Chem Commun 1939–1947
98. Ciesielski A, Krigowski TM, Cyrański MK, Dobrowolski MA, Aihara J (2009) Graph–
topological approach to magnetic properties of benzenoid hydrocarbons. Phys Chem Chem
Phys 11:11447–11455
99. Solá M, Feixas F, Jiménez-Halla JOC, Matito E, Poater J (2010) A critical assessment of the
performance of magnetic and electronic indices of aromaticity. Symmetry 2:1156–1179
100. Randić M, Plavšić D, Vukičević D (2011) π-Electron currents in fully aromatic benzenoids.
J Indian Chem Soc 88(2011):13–23
101. Randić M, Novič M, Vračko M, Plavšić D (2012) π-Electron currents in polycyclic
conjugated hydrocarbons: coronenene and its isomers having five and seven member rings.
Int J Quantum Chem 112:972–985
102. Randić M, Vukivcević D, Novič M, Plavšić D (2012) π-Electron currents in large fully
aromatic benzenoids. Int J Quantum Chem 112:2456–2462
103. Randić M, Novič M, Plavšić D (2012) π-Electron currents in fixed π-sextet aromatic
benzenoids. J Math Chem 50:2755–2774
104. Randić M, Vukičević D, Balaban AT, Vračko M, Plavvsić D (2012) Conjugated circuits
currents in hexabenzocoronene and its derivatives formed by joining proximal carbons.
J Comput Chem 33:1111–1122
318
I. Gutman and S. Radenković