Page 297 - Advanced Organic Chemistry Part A - Structure and Mechanisms, 5th ed (2007) - Carey _ Sundberg
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                                                                        C
     CHAPTER 3
     Structural Effects on
     Stability and Reactivity













                                           A                            B


                                        Fig. 3.4. Two-dimensional energy diagram showing
                                        energy contours for stepwise  A → B → C  and
                                        concerted  A → C  reaction pathways.


                       3.2.2.3. Computation of Reaction Potential Energy Surfaces. As transition states
                       cannot be observed, there is no experimental means of establishing their structure.
                       Computational methods can be applied for descriptions of intermediates and transition
                       structures. Structural attributes such as bond lengths, bond orders, electron density
                       distribution, and orbital occupancy can be found for transition structures and interme-
                       diates, as was described in Sections 3.1.2.5 for stable molecules. The evaluation of a


                                                          011   111


                                                           101
                                                 001
                                                         010    110
                                               z    y


                                                000   x   100
                                               Fig. 3.5. Three-dimensional reac-
                                               tion coordinate diagram: x, y, and
                                               z are the three edge coordinates;
                                               [0,0,0] is the starting point; [1,1,1]
                                               is the product; [1,0,0], [0,1,0],
                                               and [0,0,1] are the corner interme-
                                               diates corresponding to reaction
                                               along only one edge coordinate;
                                               and [1,1,0], [1,0,1], and [0,1,1]
                                               are the corner intermediates corre-
                                               sponding to the reaction along
                                               two edge coordinates. Repro-
                                               duced with permission from Can.
                                               J. Chem., 74, 1283 (1996).
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