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               694                                                                                Liquid Chromatography























                                                                    FIGURE 23 Molecular weight calibration curve for SEC.


                                                                 V r = V m + KV s , where V m is the volume between the par-
                                                                 ticles, V s is the volume within the pores of the packing, and
               FIGURE 22 Separation of short-chained carboxylic acids by ion-
                                                                  K is the partition coefficient described by the ratio of pore
               exclusion chromatography. Column: ORH-801 sulfonated cation
               exchange; eluent: 0.01 N sulfuric acid; flow rate: 0.8 ml/min; tem-  volume accessible by the solute divided by the total pore
                        ◦
               perature: 35 C; detection: UV at 210 nm. [Reprinted with permis-  volume. Since separation is based on molecular dimen-
               sion from Interactions Chemicals, Inc.]
                                                                 sions (size and shape), monodisperse samples having the
                                                                 same molecular weight (MW) may not be of the same size.
                                                                 Biopolymers such as proteins can adopt different confor-
               cation-exchange column and water as the mobile phase.  mations, and small molecules can be associated together
               Retention of the sugars is assisted by weak complex for-  depending on the solvent conditions. Therefore, careful
               mation with the metal cation. Sometimes an inorganic  column calibration with standards of similar structure is
               salt is added to the mobile phase to improve retention  important to obtain reliable MW information of monodis-
               by promoting a “salting in” phenomenon. Aliphatic alco-  perse samples. For a polydisperse sample as shown by a
               hols and amines have also been separated by ion-exclusion  broad SEC peak, there is no well-defined MW value but
               chromatography.                                   instead a distribution of MW values around an average. A
                                                                               ¯
                                                                                                      ¯
                                                                 number average Mn or weight average MW, Mw, can be
                                                                 calculated knowing the number and MWs of various frac-
               E. Size-Exclusion LC
                                                                 tions of the broad peak. The viscosity detector developed
               Size-exclusion chromatography (SEC) is used for the  by Yau and the laser light scattering detector have both
               separation of large-molecular-weight compounds such as  been shown to be invaluable for obtaining reliable MW
               polymers or proteins. SEC is generally divided into two  information for SEC.
               classes, gel-filtration chromatography (GFC), which uses  Proper choice of the mobile phase and packing is impor-
               aqueous solvents, and gel-permeation chromatography  tant to attain a strictly steric retention mechanism. As with
               (GPC), which uses organic solvents. The separation mech-  other types of LC, both polymers and silica packings have
               anism is based on the relative size of the pores of the  been used for SEC. By controlling the cross-linking during
               packing and the molecules to be separated (Fig. 23). If  the synthesis of PS–DVB resins, polymers with different
               the molecule is large compared to the pore size, it will be  pore sizes can be prepared. Because of its hydrophobicity,
               excluded from the particles and pass down the column un-  PS–DVB in normally used for GPC. Sulfonated PS–DVB
               retained (point A). Molecules similar in size to the pores  as well as polyacrylamide are hydrophilic enough to be
               can partially penetrate the packing particles and are re-  used for GPC of polar solutes such as sugars. Spherical
                                                                                                          ˚
               tained to differing extents allowing separation (region B).  silica with pore sizes ranging from 60 to 4000 A are
               Molecules much smaller in size than the pores can easily  available for separation of molecules from about 500
                                                                      5
               penetrate all the pores of the packing particles and will be  to 10 in molecular weight. Although untreated silica
               retained to the same degree (point C). Therefore, the peaks  can be used for many sample applications, particularly
               of an SEC chromatogram are ordered from highest to low-  organic polymers, it is usually modified for the separa-
               estmolecularsize.AquantitativerelationshipforFig.19is  tion of biological molecules. For example, glycophase
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