Multicenter bond indices as a measure of aromaticity

A MO multicenter bond index involving the σ+π electron population is proposed as a measure of aromaticity. It is related both to the energetical and to the magnetic criteria. The index is applied to linear and angular polycyclic hydrocarbons with benzenoid rings, to hydrocarbons including non-benzenoid rings, to monocyclic azines, benzoazines and other heterocyclic compounds with 5-membered rings. The index gives satisfactory values for monocyclic molecules and is shown to be quite suitable in discriminating the relative aromaticity of the different rings in polycyclic compounds.

[1]  Ramon Carbo,et al.  How similar is a molecule to another? An electron density measure of similarity between two molecular structures , 1980 .

[2]  S. Pati,et al.  Ring currents in condensed ring systems , 1998 .

[3]  M. Glukhovtsev AROMATICITY TODAY : ENERGETIC AND STRUCTURAL CRITERIA , 1997 .

[4]  Alan R. Katritzky,et al.  AROMATICITY AS A QUANTITATIVE CONCEPT. 7. AROMATICITY REAFFIRMED AS A MULTIDIMENSIONAL CHARACTERISTIC , 1998 .

[5]  P. Wormell,et al.  Cotton-Mouton effect, magnetic anisotropy and charge delocalization of 2,4,6-tris (dimethylamino)-1,3,5-triazine : comparison with 1,3,5-triazine , 1991 .

[6]  P. Schleyer,et al.  Magnetic Evidence for the Aromaticity and Antiaromaticity of Charged Fluorenyl, Indenyl, and Cyclopentadienyl Systems , 1997 .

[7]  R. Mallion,et al.  ‘‘Ring‐current’’ effects on 1H‐NMR chemical shifts in linear acenes , 1982 .

[8]  C. Breneman,et al.  Azines. A theoretical study of .pi.-electron delocalization , 1989 .

[9]  D. Cremer,et al.  Theoretical determination of molecular structure and conformation. 14. Is bicyclo[6.2.0]decapentaene aromatic or antiaromatic? , 1985 .

[10]  L. Rodriguez-Monge,et al.  Role of ? stabilization in cyclic polyenes , 1998 .

[11]  Paul von Ragué Schleyer,et al.  Nucleus-Independent Chemical Shifts:  A Simple and Efficient Aromaticity Probe. , 1996, Journal of the American Chemical Society.

[12]  P. Schleyer,et al.  Structures, bonding and energies of N6 isomers , 1992 .

[13]  K. Jug,et al.  Influence of .sigma. and .pi. electrons on aromaticity , 1990 .

[14]  M. Guest,et al.  The molecular and electronic states of 1,2,4,5-tetrazine studied by VUV absorption, near-threshold electron energy-loss spectroscopy and ab initio multi-reference configuration interaction studies , 1997 .

[15]  Mikhail N. Glukhovtsev,et al.  Aromaticity and Antiaromaticity: Electronic and Structural Aspects , 1994 .

[16]  Ramon Carbó Molecular Similarity and Reactivity , 1995 .

[17]  L. J. Schaad,et al.  Hueckel molecular orbital .pi. resonance energies. Benzenoid hydrocarbons , 1971 .

[18]  C. Bird ABSOLUTE HARDNESS AS A CONVENIENT CRITERION OF HETEROAROMATICITY , 1997 .

[19]  Jeremy I. Musher,et al.  On the Magnetic Susceptibility of Aromatic Hydrocarbons and , 1965 .

[20]  P. Várnai,et al.  About the aromaticity of five-membered heterocycles , 1995 .

[21]  B. P. Dailey,et al.  Chemical Shifts and Ring Currents in Condensed Ring Hydrocarbons , 1962 .

[22]  H. Hosoya,et al.  Spherical Aromaticity of Buckminsterfullerene , 1988 .

[23]  Norges Handelshøyskole,et al.  Structure , 2004, Forum Non Conveniens in the Modern Age: A Comparative and Methodological Analysis of Anglo-American Law.

[24]  P. Fowler,et al.  Ring currents in aromatic hydrocarbons , 1996 .

[25]  W. Goddard,et al.  Correlation Analysis of Chemical Bonds , 1998 .

[26]  H. Schaefer,et al.  The role of σ and π stabilization in benzene, allyl cation and allyl anion. A canonical orbital energy derivative study , 1995 .

[27]  Alexandru T. Balaban,et al.  Is aromaticity outmoded? , 1980 .

[28]  S. C. O'brien,et al.  C60: Buckminsterfullerene , 1985, Nature.

[29]  I. Gutman,et al.  Graph theory and molecular orbitals. 19. Nonparametric resonance energies of arbitrary conjugated systems , 1977 .

[30]  M. Dewar,et al.  Aromatic energies of some heteroaromatic molecules , 1989 .

[31]  R. Berry Zero‐Point Vibrations in Benzene , 1961 .

[32]  P. Schleyer,et al.  An Evaluation of the Aromaticity of Inorganic Rings: Refined Evidence from Magnetic Properties , 1997 .

[33]  Ramón Carbó,et al.  Molecular similarity and reactivity : from quantum chemical to phenomenological approaches , 1995 .

[34]  C. Bird Heteroaromaticity. 10. The direct calculation of resonance energies of azines and azoles from molecular dimensions , 1997 .

[35]  Kenneth B. Wiberg,et al.  Application of the pople-santry-segal CNDO method to the cyclopropylcarbinyl and cyclobutyl cation and to bicyclobutane , 1968 .

[36]  A. Roche,et al.  Organic Chemistry: , 1982, Nature.

[37]  S. S. Makler,et al.  Graphical estimative of diamagnetic anisotropy in some conjugated systems , 1979 .

[38]  C. Bock,et al.  Empirical resonance energies for benzene and pyridine , 1985 .

[39]  C. Glidewell,et al.  Mndo study of bond orders in some conjugated BI- and tri-cyclic hydrocarbons , 1984 .

[40]  C. W. Bird THE RELATIONSHIP OF CLASSICAL AND MAGNETIC CRITERIA OF AROMATICITY , 1996 .

[41]  K. C. Mundim,et al.  Multicenter Bond Index: Grassmann Algebra and N-Order Density Functional , 1994 .

[42]  M. Dewar The molecular orbital theory of conjugated systems: by Lionel Salem. 576 pages, diagrams, 6 × 9 in. New York, W. A. Benjamin, Inc., 1966. Price, $19.75 , 1967 .

[43]  Sason Shaik,et al.  Is delocalization a driving force in chemistry? Benzene, allyl radical, cyclobutadiene, and their isoelectronic species , 1987 .

[44]  K. Vollhardt,et al.  The role of delocalization in benzene , 1993 .

[45]  Paul von Ragué Schleyer,et al.  Aromaticity and Antiaromaticity in Five‐Membered C4H4X Ring Systems: “Classical” and “Magnetic” Concepts May Not Be “Orthogonal” , 1995 .

[46]  G. P. Bean Application of Natural Bond Orbital Analysis and Natural Resonance Theory to Delocalization and Aromaticity in Five-Membered Heteroaromatic Compounds. , 1998, The Journal of organic chemistry.

[47]  M. Giambiagi,et al.  MULTICENTER BONDS, BOND VALENCE AND BOND CHARGE APPORTIONMENT , 1997 .

[48]  O. Chapman,et al.  Photochemical transformations. XLVIII. Cyclobutadiene , 1973 .

[49]  L. Salem The molecular orbital theory of conjugated systems , 1966 .

[50]  J. Aihara Unified theory of aromaticity and London diamagnetism , 1981 .

[51]  Haijun Jiao,et al.  What is aromaticity? , 1996, J. Chem. Inf. Comput. Sci..

[52]  Z. Maksić,et al.  LINEAR VS ANGULAR PHENYLENES : AN INTERPLAY OF AROMATICITY, ANTIAROMATICITY, AND BAEYER STRAIN IN FUSED MOLECULAR SYSTEMS , 1995 .

[53]  Robert G. Parr,et al.  New measures of aromaticity: absolute hardness and relative hardness , 1989 .

[54]  W. J. Orville-Thomas Atoms in Molecules — a Quantum Theory , 1996 .

[55]  Sason Shaik,et al.  Is the delocalized .pi. system of benzene a stable electronic system , 1985 .

[56]  J. E. Boggs,et al.  Structure and degree of aromatic character in furan, pyrrole, and thiophene , 1981 .

[57]  J. D. Memory Ring Currents in Pentacyclic Hydrocarbons , 1963 .

[58]  Emili Besalú,et al.  A general survey of molecular quantum similarity , 1998 .