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 Encyclopedia of Physical Science and Technology  EN003D-147  June 13, 2001  22:58







              Coordination Compounds                                                                      743

                  TABLE   I Aqueous   Stability  Constants      The “double-humped” plot is famous; it summarizes many
                  (log β 1n0 ) a                                properties of analogous sets of coordination compounds.
                   M n+ +  Ligand  β 110  β 120  β 130  β 140   Notice that it is the number of d electrons that dictates
                                                                this shape. The upper dashed plot is for the triply charged
                  Cu 2+  NH 3   4.2   7.7   10.6   12.7         metal ions. Naturally, the interaction between M 3+  and the
                  Ni 2+  NH 3   2.8   5.04   6.77   7.97        electrons of a given ligand is better than that of M ,so
                                                                                                         2+
                  Al 3+  F −    6.1  11.1   14.9   17.7         the dashed curve of Fig. 1, representing stability constants
                                                                                             3+
                    a  Note that the overall constants β 1n0 are the product  for triply charged metal ions, like Fe , lies above the full
                                                                                              2+
                  of stepwise constants K 110 × K 120 ×··· K 1n0 , e.g.,  curve for doubly charged ions like Fe .
                  β 140 = K 110 × K 120 × K 130 × K 140 .
                                                                D. Inverse Complexing
              six-coordinatedFe(OH 2 ) 3+ combines(stepwise)withone,
                                 6                              Inthecrystallatticeofmanysolidbinarycompoundsofthe
                                      −
              then a second, thean a third Cl without change in coor-
                                                                                         +
                                                                type AgI, the metal ion (here Ag ) will have several anions
              dination number but that, at the next addition of chloride,
                                                                (here four I ) surrounding it. This is akin to coordination
                                                                         −
              a major change occurs, probably
                                                                of metal ion by iodide, giving the complex anions AgI ,
                                                                                                            −
                                                                                                            2
                                                                         3−
                                   0
                                                                   2−
                                        −
                     [Fe(OH 2 ) (Cl) ] + Cl   [FeCl 4 ] −       AgI , AgI , and so on. Conversely, each iodide in solid

                                                                         4
                                                                   3
                             3
                                 3
                                                                silver iodide will be surrounded by silver ions. In some
              Note that no such discontinuity occurs with fluoride form-
                                                                cases, chiefly for large central anions, complex cations
              ing complexes with iron(III).                           +     2+        4+
                                                                like IAg , IAg , and TeAg 6  exist in aqueous solutions.
                                                                      2
                                                                            3
                The coordination number of a given metal ion, such
                                                                The formation of a cationic complex by the addition of
              as Co 2+  or Al 3+  (which indicates the number of ligands
                                                                several positive ions to a central negative ion is called
              attached to it), often varies from ligand to ligand. For ex-
                                                                inverse complexing (or sometimes metallocomplexing).
              ample, whereas for aluminum, aqueous chloride forms
                                                                Inverse complexes are a chief factor in the dissolution of
                    −
              [AlCl 4 ] and the addition of another chloride ligand (a
                                                                silverhalidesinexcessofsolublesilversaltssuchasnitrate
              fifth and a sixth) is not easy, up to six fluoride ligands  [Eq. (29)].
                                            3−
              coordinate rather readily, forming AlF .
                                            6
                                                                                             +
                                                                         AgI + AgNO 3 → [IAg 2 ] + NO −   (29)
                                                                                                   3
              C. Irving–Williams Series                         and central inverse complexed units such as (OM 3 ) ,
                                                                                                           y+
                                                                                                         8+
              The past discussion has dealt with variation of stability for  (NM 3 ) x+  are fairly common. These include [OIr 3 ] ,in
              the coordination compounds of a given metal ion. What  Lecoq de Boisbaudran’s compound, Ir 3 O(SO 4 ) 4 , named
              about variation for a particular ligand with a range of metal  for the discoverer of the element gallium; (OM 3 ) 7+  in the
              ions? Again, the simple ideas of Coulombic interaction  basic chromium(III), iron(III), and ruthenium(III) acetates
                                                                               +
                                                                                           +
              take us a long way. The greater the charge and the smaller,  [M 3 O(CH 3 COO) 6 ] ; and (Hg 2 N) in Millon’s base.
              the size of a cation (Lewis acid), the better it will interact
              with an electron donor (Br¨onsted base). Thus, for a given
              ligand, say glycinate (gly-O),
                 K 110 for Na < K 110 for Mg 2+  < K 110 for Al 3+
                          +
                Similarly, for the change in cationic size with constant
              charge, as in the lanthanides (where the “lanthanide con-
              traction” means that the elements with higher atomic num-
              bers give the smallest 3+ ions) where only the metal ion
              changes, we generally find the stability of a series of coor-
              dination compounds to increase from lanthanum (atomic
              number 57) to lutetium (atomic number 71).
                The similar decrease in size through the transition series
              (where the ionic radii of the doubly charged ions M 2+
              decrease from V 2+  to Zn ) leads to an increase in stability
                                 2+
                                                                FIGURE 1 Irving–Williams “double-humped” plot (representing
              for coordinated compounds (Fig. 1). The order shown for
                                                                the change in properties of the doubly charged ions M 2+ ) for ther-
              β 110 for the second half of the first transition series (Mn <  modynamic properties of ions of the first transition series. The
              Fe < Co < Ni ≤ Cu > Zn) is the Irving–Williams series.  dashed plot show the related changes for the triply charged M 3+ .
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