Page 182 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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162                                Table 2.3. Strain Energies for Cycloalkanes a

     CHAPTER 2                           Cycloalkane       Strain energy (kcal/mol)
     Stereochemistry,                   Cyclopropane              28.1 b
     Conformation,                      Cyclobutane               26.3
     and Stereoselectivity
                                        Cyclopentane               7.3
                                        Cyclohexane                1.4
                                        Cycloheptane               7.6
                                        Cyclooctane               11.9
                                        Cyclononane               15.5
                                        Cyclodecane               16.4
                                        Cyclododecane             11.8

                                        a. Values taken from E. M. Engler, J. D. Andose, and
                                         P. v. R. Schleyer, J. Am. Chem. Soc., 95, 8005 (1973).
                                        b. P. v. R. Schleyer, J. E. Williams, and K. R. Blanchard, J. Am.
                                         Chem. Soc., 92, 2377 (1970).

                       considered. The small rings are dominated by angle and torsional strain. The common
                       rings are relatively unstrained and their conformations are most influenced by torsional
                       factors. Medium rings exhibit conformational equilibria and chemical properties
                       indicating that cross-ring van der Waals repulsions play an important role. Large rings
                       become increasingly flexible and possess a large number of low-energy conformations.
                       The combination of all types of strain for a given ring results in a total strain energy
                       for that ring. Table 2.3 presents data on the strain energies of cycloalkanes up to
                       cyclodecane.
                           The cyclopropane ring is planar and the question of conformation does not arise.
                       The C−C bond lengths are slightly shorter than normal, at 1.50 Å, and the H−C−H
                       angle of 115 C is opened somewhat from the tetrahedral angle. 70  These structural

                       features and the relatively high reactivity of cyclopropane rings are explained by
                       the concept of “bent bonds,” in which the electron density is displaced from the
                       internuclear axis (see Topic 1.3).
                           Cyclobutane adopts a puckered conformation in which substituents can occupy
                       axial-like or equatorial-like positions. 71  1,3-Disubstituted cyclobutanes show small
                       energy preferences for the cis isomer, which places both substituents in equatorial-like
                       positions. 72  The energy differences and the barrier to inversion are both smaller than
                       in cyclohexane.



                                                   R'
                                             R               R       R'



                           There is minimal angle strain in cyclopentane, but considerable torsional strain
                       is present. Cyclopentane is nonplanar and the two minimum energy geometries are
                       the envelope and the half-chair. 73  In the envelope conformation, one carbon atom is


                        70	  O. Bastiansen, F. N. Fritsch, and K. Hedberg, Acta Crystallogr., 17, 538 (1964).
                        71
                          A. Almenningen, O. Bastiansen, and P. N. Skancke, Acta Chem. Scand., 15, 711 (1961).
                        72	  (a) K. B. Wiberg and G. M. Lampman, J. Am. Chem. Soc., 88, 4429 (1966);
                          (b) N. L. Allinger and L. A. Tushaus, J. Org. Chem., 30, 1945 (1965).
                        73
                          A. C. Legon, Chem. Rev., 80, 231 (1980); B. Fuchs, Top. Stereochem., 10, 1 (1978).
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