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References for Problems  169

           4.  Draw orbital structures for +CH,-  and for +-, and explain on the basis of the
      structures why +H would be expected to be a weaker acid than +CH,  and why a might
      be different for the two compounds.
           5.  In cyclopropane, the GC-C  bond angle is 60°, but  it is  thought that the
      angle between the orbitals is greater, that is, that the bonds are bent outwards so that the
      electron density is not a maximum along the GC line but rather is maximum  along
      some curve passing outside the GC line. If the H-GH  bond angles are 119", find
      the angle between the two hybrids the carbon uses to form GC bonds to its neighbors.
      Find the percent  s character of the C-C   and of the C-H   bonds, and compare the
      percent s character of the C-H   bonds with that of C-H   bonds in acetylene, ethylene,
      and  cyclohexane.  Compare  these results to  the  acidities in  Table 3.9.  (Information
      needed to solve this problem is in Appendix 1 to Chapter 1  .)


      REFERENCES FOR  PROBLEMS
      5.  See Appendix  1, Chapter  1. The H-C-H   bond  angle quoted  is  the  average of
           values obtained by 0. Hassel and H. Viervoll, Acta  Chem. Scand.,  1, 149 (1947)
           (118.Z0, electron diffraction) and by Hs. H. Giinthard, R. C. Lord, and T. K.
           McCubbin, Jr., J. Chem. Phys., 25, ,768 (1956) (120°, vibration-rotation  spectrum).
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