Page 851 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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The cycloadditions can be characterized by specifying the number of   electrons     835
          involved for each species, and for the above three cases, this would be  2+2 ,  2+2 ,
          and  2 + 4 , respectively. Some such reactions occur readily, whereas others are not  SECTION 10.1
          observed. We will learn, for example, that of the three reactions above, only the  Cycloaddition Reactions
          alkene-diene cycloaddition occurs readily. The pattern of reactivity can be understood
          by application of the principle of conservation of orbital symmetry.
              The most important of the concerted cycloaddition reactions is the Diels-Alder
          reaction between a diene and an alkene derivative to form a cyclohexene. The alkene
          reactant usually has a substituent and is called the dienophile. We discuss this reaction
          in detail in Section 10.2. Another important type of  2+4  cycloaddition is 1,3-dipolar
          cycloaddition. These reactions involve heteroatomic systems that have four   electrons
          and are electronically analogous to the allyl or propargyl anions.


                     CH 2  CHCH 2 –
                                                 HC  CCH  –
                        +                               2
                        b                           +
                       a  c –            b       a  b  c –        b
                                       a   c  or                 a  c
                        d  e            d e        d  e          d e

          Many combinations of atoms are conceivable, among them azides, nitrones, nitrile
          oxides, and ozone. As these systems have four   electrons, they are analogous to
          dienes, and cycloadditions with alkenes and alkynes are allowed  4 + 2  reactions.
          These are discussed in Section 10.3.

                                          O –
                         –  +           +             +          +
                         N  N  N   R 2 C  N     R  C  N  O –     O
                      R                   R                    – O  O
                         azide       nitrone     nitrile oxide  ozone

          In a few cases  2+2  cycloadditions are feasible, particularly with ketenes, and these
          reactions are dealt with in Section 10.4.

                                  CH 2  CH 2

                                  CH 2  C  O           O

              We begin the discussion of concerted cycloaddition reactions by exploring how
          the orbital symmetry requirements distinguish between reactions that are favorable
          and those that are unfavorable. Cycloaddition reactions that occur through a pericyclic
          concerted mechanism can be written as a continuous rearrangement of electrons. If
          we limit consideration to conjugated systems with from two to six   electrons, the
          reactions shown in Scheme 10.1 are conceivable.
              We recognize immediately that some of these combinations would encounter
          strain and/or entropic restrictions. However, orbital symmetry considerations provide
          a fundamental insight into the electronic nature of the cycloaddition reactions and
          allow us to see that some of the TS structures are electronically favorable, whereas
          others are not. Woodward and Hoffmann formulated the orbital symmetry principles
          for cycloaddition reactions in terms of the frontier orbitals. An energetically accessible
          TS requires overlap of the frontier orbitals to permit smooth formation of the new
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