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66                                                     Carraher’s Polymer Chemistry



                 TABLE 3.3
                 Typical Molecular Weight Determination Methods
                                        Type of Molecular   Applicable
                 Method                 Weight Average  Weight Range  Other Information
                 Light scattering        M w           To ∝         Can give other molecular weights and
                                                                     shape
                                                         4
                 Membrane osmometry      M n           10 –10 6
                 Vapor phase osmometry   M n           To 4 × 10 4
                                                         2
                 Electron and X-ray microscopy   M n,w,z  10  to ∝
                 Isopiestic method       M n           To 2 × 10 4
                 Ebulliometry (BP elevation)  M n      To 4 × 10 4
                 Cryoscopy (MP depression)  M n        To 5 × 10 4
                 End-group analysis      M n           To 2 × 10 4
                 Osmodialysis            M n           500–2.5 × 10 4
                 Centrifugation
                  Sedimentation equilibrium  M z       To ∝
                  Archibald mod.         M z,w         To ∝
                  Trautman’s method      M w           To ∝
                 Sedimentation velocity gives real M for only monodisperse systems
                 Chromatography         Calibrated     To ∝         Gives molecular weight distribution
                 SAXS                    M w
                 Mass Spectrometry MALDI               To 10 7      Molecular weight distribution


                 Viscometry             Calibrated
                 Coupled chromatography—LS             To ∝         Molecular weight distribution, shape, M n,w,z

                 “To ∝” means that the molecular weight of the largest particles soluble in a suitable solvent can be, in theory, determined.



                 a medium that shows selective absorption for the different components in the solution. Ion-exchange
                 chromatography separates molecules on the basis of their electrical charge. Ion-exchange resins are
                 either polyanions or polycations. For a polycation resin, those particles that are least attracted to the

                 resin will flow more rapidly through the column and be emitted from the column first. This tech-

                 nique is most useful for polymers that contain changed moieties.
                    In affi nity chromatography, the resin contains molecules that are especially selected and will
                 interact with the particular polymer(s) that is being studied. Thus, for a particular protein, the resin

                 may be modified to contain a molecule that interacts with that protein type. The solution contain-
                 ing the mixture is passed through the column and the modified resin preferentially associates with

                 the desired protein allowing it to be preferentially removed from the solution. Later, the protein is
                 washed through the column by addition of a salt solution and collected for further evaluation.
                    In high-performance liquid chromatography (HPLC), pressure is applied to the column that
                 causes the solution to rapidly pass through the column allowing procedures to be completed in a
                 fraction of the time in comparison to regular chromatography.
                    When an electric field is applied to a solution, polymers containing a charge will move toward

                 either the cathode (positively charged species) or toward the anode (negatively charged species).







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         K10478.indb   66                                                                     9/14/2010   3:36:34 PM
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