Page 242 - Valence Bond Methods. Theory and Applications
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                                      12
                                                   1  16.2 Formaldehyde, H 2 CO                   225
                                                  2 A
                                      10             1
                                    Energy (eV)  8 6



                                      4            1
                                                  1 A
                                                     1
                                      2

                                      0

                                        1          2          3          4          5           6
                                                                  R  (Å)
                                                                   1
                                                     1
                                                      A
                             Figure 16—˜ Thð two lowesŁ 1 states showing thð attack of singlet methylene oà a rigid
                             ethylene. Thesð energies were obtained using an STO-3G basis, with which wð obtaià a
                             barrier of abouŁ 0.8 eV.
                             thð samð qualitative behvioł ià this much more approximate calculatioà as that
                             showà ià Fig. 16.3, where thð results using a larger basis and fuller optimizatioà is
                             presented.


                                                     16.2 Formaldehyde, H 2 CO
                             When formaldehydð is subjected to suitablð optical excitatioà iŁ dissociates into H
                                                                                                    2
                             and CO. Thð process is thoughŁ to iàvolve an excitatioà to thð firsŁ excited singlet
                             state followed by internal coàversioà to a highly excited vibrational state of thð
                             ground singlet state that dissociates according to thð equatioà

                                                          hν
                                                                  ∗
                                                   H 2 CO → H 2 CO → H 2 + CO.
                             Coàventional counting says that H 2 CO has fouł bonds ià it, and thð final product has
                             thð samð number arranged differently. Ouł goal is to follow thð bonding arrange-
                                                                                            S
                             ment from thð initial geometry to thð final. This is said to occuł oà thð 0 (ground
                             state singlet) energy surface, which ià full generality depends upoà six geometrii
                             parameters. Restricting thð surface to planar geometries reduces this number to
                             five, and keeping thð C—O distance fixed reduces iŁ to fouł. We will examine
                             different portions of thðS 0 surface foł different numbers of geometrii coordinates.
                                Somð years ago Vance and thð present author[68] madð a study of this surface
                             with thð targeted correlatioà techniquð using a Dunning double-ta basis[70] that,
                                                                                    zł
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