Page 739 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
P. 739

722               theoretically and defined in such a way that it can be used to compare different rings.
                       The units are nanoamperes (nA), and the calculated ring currents are found to increase
     CHAPTER 8         in more electron-rich systems, as is the case with NICS. Whereas benzene is 32 nA,
     Aromaticity       pyrrole is 41.4 nA and cyclopentadienide is 72.2 nA. Conversely, it is lower for the
                       cycloheptatrienyl cation (26.1 nA); thiophene (32.1 nA) is very similar to benzene;
                       and nonaromatic compounds such as cyclohexane or 1,4-cyclohexadiene have much
                       smaller values (2.1 and 1.7 nA, respectively).
                           Another electronic property associated with aromaticity is magnetic susceptibility,
                       which is determined by measuring the force exerted on the sample by a magnetic
                       field. 31  Magnetic susceptibility is closely related to polarizability and is different
                       in the plane and perpendicular to the plane of the ring. It can be determined by
                       various spectroscopic measurements, 32  as well as by using an NMR spectrometer. 33
                       It is observed that aromatic compounds have enhanced magnetic susceptibility, called
                       exaltation (  , relative to values predicted on the basis of the localized structural
                       components. 34

                                         Magnetic Susceptibility Exaltation for Some
                                                Aromatic Hydrocarbons
                                         Compound
                                        Benzene                          13 7
                                        Naphthalene                      30 5
                                        Anthracene                       48 6
                                        Phenanthrene                     46 2
                                        Azulene                          29 6


                       Magnetic susceptibility can also be calculated by computational methods; calculation
                       by the B3LYP method correctly reproduces some of the trends in stability among the
                       benzo[b]- and benzo[c]- derivatives of five-membered heterocycles. 35  The benzenoid
                       benzo[b]- isomers are much more stable compounds than the quinoid benzo[c] isomers.

                                           S                    N  H                     O
                                                    N
                               S                                            O
                                                     H
                            55.7      53.9      51.9       51.3          49.6        46.8
                           Because all of these electronic aspects of aromaticity are ultimately derived
                       from the electron distribution, we might ask whether representations of electron
                       density reveal any special features in aromatic compounds. The electron density of
                       the   electrons can be mapped through the MESP (molecular electrostatic potential,
                       see Section 1.4.5). 36  The MESP perpendicular to the ring is completely symmetrical
                       for benzene, as would be expected for a delocalized structure and is maximal at about
                        31
                          E. A. Boudreaux and R. R. Gupta, in Physical Methods in Heterocyclic Chemistry, R. R. Gupta, ed.,
                          Wiley-Interscience, New York, 1984, pp. 281–311.
                        32   W. H. Flygare, Chem. Rev., 74, 653 (1974).
                        33
                          K. Frei and H. J. Bernstein, J. Chem. Phys., 37, 1891 (1962).
                        34   H. J. Dauben, J. D. Wilson, and J. L. Laity, J. Am. Chem. Soc., 90, 811 (1968); P. v. R. Schleyer and
                          H. Jiao, Pure Appl. Chem., 68, 209 (1996); P. Friedman and K. F. Ferris, Int. J. Quantum Chem., 24,
                          843 (1990).
                        35   B. S. Jursic, J. Heterocycl. Chem., 33, 1079 (1996).
                        36
                          C. H. Suresh and S. R. Gadre, J. Org. Chem., 64, 2505 (1999).
   734   735   736   737   738   739   740   741   742   743   744