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CH   COH, but the order is exactly the opposite in the gas phase. 169  The reverse order  105
              3 3
          in the gas phase attracted a good deal of interest when it was discovered, since it is
                                                                                            TOPIC 1.5
          contrary to the general expectation that more highly substituted alkyl groups are better
          electron donors than methyl and primary groups. Both qualitative 170  and quantitative 171  Application of Density
                                                                                       Functional Theory
          treatments have identified polarizability, the ability to accept additional charge, as the  to Chemical Properties
          major factor in the gas phase order. Note also that the order is predicted by the HSAB  and Reactivity
          relationship since the softer (more substituted) alkoxides should bind a hard proton
          more weakly than the harder primary alkoxides.
              Another study examined the acidity of some halogenated alcohols. The gas phase
          acidity order is ClCH OH > BrCH OH > FCH OH > CH OH. The same Cl > Br > F
                            2         2         2        3
          order also holds for the di- and trihalogenated alcohols. 172  The order reflects competing
          effects of electronegativity and polarizability. The electronegativity order F > Cl > Br
          is reflected in the size of the bond dipole. The polarizability order Br > Cl > F indicates
          the ability to disperse the negative charge. The overall trend is largely dominated by the
          polarizability order. These results focus attention on the importance of polarizability,
          especially in the gas phase, where there is no solvation to stabilize the anion. The
          intrinsic ability of the substituent group to accommodate negative charge becomes
          very important.
              The role of substituents has been investigated especially thoroughly for substi-
          tuted acetic and benzoic acids. Quantitative data are readily available from pK a
          measurements in aqueous solution. Considerable data on gas phase acidity are also
          available. 173  EWG substituents increase both solution and gas phase acidity. In the
          gas phase, branched alkyl groups slightly enhance acidity. In aqueous solution, there
          is a weak trend in the opposite direction, which is believed to be due to poorer
          solvation of the more branched anions. Geerling and co-workers have applied DFT
          concepts to substituent effects on acetic acids. 174  The Fukui functions and softness
          descriptors were calculated using electron density and Mulliken population analysis
          (see Topic 1.5.2). The relative correlation of these quantities with both solution and
          gas phase acidity was then examined. In both cases, the best correlations were with
          the Mulliken charge. In the case of gas phase data, the correlations were improved
          somewhat by inclusion of a second parameter for group softness. The picture that
          emerges is consistent with the qualitative concepts of HSAB. The reactions in question
          are hard-hard interactions, the transfer of a proton (hard) to an oxygen base (also
          hard). The reactions are largely controlled by electrostatic relationships, as modeled
          by the Mulliken charges. The involvement of softness in the gas phase analysis
          suggests that polarizability makes a secondary contribution to anionic stability in the
          gas phase.







          169
             J. I. Brauman and L. K. Blair, J. Am. Chem. Soc., 92, 5986 (1976).
          170   W. M. Schubert, R. B. Murphy, and J. Robins, Tetrahedron, 17, 199 (1962); J. E. Huheey, J. Org.
             Chem., 36, 204 (1971).
          171   F. De Proft, W. Langenaeker, and P. Geerlings, Tetrahedron, 51, 4021 (1995); P. Pérez, J. Phys. Chem.
             A, 105, 6182 (2001).
          172
             S. Damoun, W. Langenaeker, G. Van de Woude, and P. Geerlings, J. Phys. Chem., 99, 12151 (1995).
          173   C. Jinfeng, R. D. Topsom, A. D. Headley, I. Koppel, M. Mishima, R. W. Taft, and S. Veji, Theochem,
             45, 141 (1988).
          174
             F. De Proft, S. Amira, K. Choho, and P. Geerlings, J. Phys. Chem., 98, 5227 (1994).
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