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210   π-COMPLEXATION SORBENTS AND APPLICATIONS

                     Table 8.5. Changes in electron occupancies upon adsorption ( Oc) in the outer-shell
                     orbitals of Ag
                     Orbital    5s     4d xy  d xz   4d yz  4d x2−y2  4d z2   4d   (5s + 4d)

                     C 2 H 4 -AgF  0.1269 −0.0001 −0.0003 −0.0291 −0.0004 −0.0421  0.0450  0.0819
                     C 2 H 4 -AgCl  0.1204 −0.0001 −0.0004 −0.0205 −0.0003 −0.0258 −0.0470  0.0734
                     C 2 H 4 -AgI  0.1091 −0.0001 −0.0004 −0.0183 −0.0003 −0.0219 −0.0410  0.0681
                     C 2 H 4 -AgZ  0.0596 −0.0016 −0.0089 −0.0032 −0.0011 −0.0029 −0.0177  0.0419
                     Chen and Yang, 1996.

                     molecule and for Ag in the adsorbents. Occupancies before and after adsorption
                     are given. The changes in occupancy upon adsorption ( Oc) are also given in
                     Table 8.5. It is obvious from Tables 8.4 and 8.5 that, upon adsorption, the electron
                     occupancy of the 5s orbital of Ag always increases, whereas the total occu-
                     pancy of its 4d orbitals (4d xy ,4d xz ,4d yz ,4d x2−y2 ,and 4d z2 ) always decreases.
                     This result is caused by the σ-donation from the π-bond (i.e., mainly 2P y and
                     2P z orbitals) of the adsorbate molecule to the 5s orbital of Ag, and the d-
                                                                              ∗
                                                                                   ∗
                                                                    ∗
                     π backdonation from the 4d orbitals of Ag to the π -bond (2P ,2P ,and
                      ∗
                                                                             x    y
                     2P  ∗  orbitals, also shown in the 2P orbitals) of the adsorbate. This is in line
                       z
                     with the classic picture of Dewar (1951) and Chatt and Duncanson (1953) for
                     π-complexation.
                       The net increase in occupancy indicates a net electron transfer from the adsor-
                     bate to the Ag-containing adsorbent. The net increase in the occupancy of the
                     5s orbital of Ag indicates the strength of the forward σ-donation bond. The net
                     decrease in the occupancies of the 4d orbitals of Ag indicates the strength of
                           ∗
                     the d-π backdonation bond. The ratios of  Oc of 5s over the  Oc of 4d are
                     approximately 2 : 1 to 3 : 1, indicating the relative contributions of the σ-donation
                     over the d-π backdonation to the overall bond.
                                ∗
                       It is interesting to compare the electron occupancies of the Ag atom in zeo-
                     lite and different halides. The occupancy in the 5s orbital follows the order of
                                                                             −
                     electronegativities of the halides, that is, being the lowest with F , which has
                     the highest electronegativity. The occupancy in the Ag-zeolite model is clearly
                     lower than that in AgF, indicating that the zeolite framework anion is highly
                     electronegative.
                       A careful examination of the occupancy changes in the 4d orbitals of Ag
                     reveals an interesting pattern. The occupancy changes for 4d xy ,4d xz ,and 4d x2−y2
                     are small, while the major changes occur in the 4d yz and 4d y2 orbitals. The
                                                                 ∗
                     overlap between the 4d yz orbital of Ag with the 2p orbitals of the adsorbate
                     molecule follows the classic picture of π-complexation, illustrated in Figure 8.4.
                     However, the large occupancy decreases of the 4d yz orbitals are unexpected. The
                     three other 4d orbitals (4d xy ,4d xz ,and 4d x2−y2 ) are positioned perpendicular
                     in relation to 4d yz . Thus, there is no possibility for them to overlap with 4d yz .
                     The 4d z2 orbitals, or the dumbbell-and-doughnut shaped orbitals, also shown
                     in Figure 8.4, are in the vicinity of the spatial direction of the 4d yz orbitals.
                     As a result, the 4d z2 orbitals are the only ones that can overlap with the 4d yz
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