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              238    Modern Analytical Chemistry




                                                                                                               Cl –
                                                                                                               Ag +












              Figure 8.3
              Schematic model of AgCl showing                                                Bulk silver ion
              difference between bulk and surface atoms                                surrounded by 6 chloride ions
              of silver. Silver and chloride ions are not   Surface silver ion
              shown to scale.                           surrounded by 4 chloride ions



                                              Avoiding Impurities Precipitation gravimetry is based on a known stoichiometry
                                              between the analyte’s mass and the mass of a precipitate. It follows, therefore, that
                                              the precipitate must be free from impurities. Since precipitation typically occurs in
                                              a solution rich in dissolved solids, the initial precipitate is often impure. Any impu-
                                              rities present in the precipitate’s matrix must be removed before obtaining its
                                              weight.
                                                  The greatest source of impurities results from chemical and physical interac-
                                              tions occurring at the precipitate’s surface. A precipitate is generally crystalline,
                                              even if only on a microscopic scale, with a well-defined lattice structure of cations
                                              and anions. Those cations and anions at the surface of the precipitate carry, respec-
                                              tively, a positive or a negative charge as a result of their incomplete coordination
                                                                                          +
                                              spheres. In a precipitate of AgCl, for example, each Ag ion in the bulk of the pre-
                                                                   –
                                              cipitate is bound to six Cl ions. Silver ions at the surface, however, are bound to no
                                                            –
                                              more than five Cl ions, and carry a partial positive charge (Figure 8.3).
                                                  Precipitate particles grow in size because of the electrostatic attraction between
                                              charged ions on the surface of the precipitate and oppositely charged ions in solu-
                                              tion. Ions common to the precipitate are chemically adsorbed, extending the crystal
                                              lattice. Other ions may be physically adsorbed and, unless displaced, are incorpo-
                                              rated into the crystal lattice as a coprecipitated impurity. Physically adsorbed ions
                                              are less strongly attracted to the surface and can be displaced by chemically ad-
                                              sorbed ions.
               inclusion                          One common type of impurity is an inclusion. Potential interfering ions whose
               A coprecipitated impurity in which the  size and charge are similar to a lattice ion may substitute into the lattice structure by
               interfering ion occupies a lattice site in  chemical adsorption, provided that the interferent precipitates with the same crystal
               the precipitate.
                                              structure (Figure 8.4a). The probability of forming an inclusion is greatest when the
                                              interfering ion is present at substantially higher concentrations than the dissolved
                                              lattice ion. The presence of an inclusion does not decrease the amount of analyte
                                              that precipitates, provided that the precipitant is added in sufficient excess. Thus,
                                              the precipitate’s mass is always larger than expected.
                                                  Inclusions are difficult to remove since the included material is chemically part
                                              of the crystal lattice. The only way to remove included material is through reprecip-
                                              itation. After isolating the precipitate from the supernatant solution, it is dissolved
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