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50   I / CHROMATOGRAPHY/ Derivatization


           particle diameter is decreased. Consequently, most  Supercritical Fluid Chromatography
           separations in LC are performed with a total of about
                                                           In SFC, mobile-phase modiRcation of the stationary
           5000}20000 theoretical plates that is largely inde-
                                                           phase and its dependence on Suid density, together
           pendent of the particle size. However, since the reten-
                                                           with the variation of Suid density along the length of
           tion time at a constant (optimum) mobile-phase velo-  the column, result in additional sources of zone
           city is proportional to the column length, this arbit-  broadening that cannot be treated in an exact way.
           rary Rxed number of plates is made available in  Packed columns used in SFC are identical in type to
           a shorter time for shorter columns packed with small-  those used in LC. When separations can be achieved
           er diameter particles. Thus the principal virtue of  with a modest number of theoretical plates (up to
           using particles of a small diameter is that they permit  about 80 000), then packed columns provide much
           a reduction in the separation time for those separ-  faster separations, perhaps up to an order of magni-
           ations that do not require a large number of theoret-  tude, than open-tubular columns, which are generally
           ical plates.                                    preferred when very large numbers of theoretical
             Conventional column diameters in analytical LC at  plates are required.
           3}5 mm are comparatively large so as to minimize
           zone broadening from extracolumn effects in
           earlier instrument designs and have become the de  Systems with Electroosmotic Flow
           facto standard dimensions, even though instrument  Plug Sow in CEC results in a smaller contribution to
           capabilities have improved over time. Smaller   the plate height from Sow anisotropy and transaxial
           diameter columns have been explored to reduce   diffusion compared with pressure-driven column
           mobile-phase consumption (which is proportional  liquid chromatography, while contributions to the
           to the square of the column radius) and to enhance  plate height that are Sow-proRle-independent are the
           mass detection through reduction in peak volumes,  same. The absence of a pressure drop in electroos-
           but offer no improvement in the intrinsic column  motically driven systems provides the necessary con-
           efRciency, except perhaps for columns with a    ditions to achieve a larger total number of theoretical
           low column diameter-to-particle size ratio. Capillary  plates in CEC in a reasonable time through the use of
           columns of 0.1 to 0.5 mm internal diameter      smaller particles and longer columns (see Table 2 and
           packed with 3}10  m particles can be used in    Figure 11). Under normal operating conditions CEC
           relatively long lengths for the separation of complex  columns have the potential to provide column plate
           mixtures, where a large number of theoretical   numbers 5}10 times higher than LC columns. Ulti-
           plates is required. Such columns probably minimize  mately the performance in CEC is limited by Joule
           the contribution form Sow anisotropy while at the  heating, which causes additional zone broadening
           same time providing a better mechanism for the dissi-  and restricts applications of CEC to the use of micro-
           pation of heat caused by the viscous drag of the  columns, since columns with a small internal dia-
           mobile phase moving through the packed bed. The  meter ((100  m) are required for efRcient heat
           operation of these columns is still pressure-limited  dissipation.  The  dominant  cause  of  zone
           and separation times an order of magnitude greater  broadening in MEKC is axial diffusion, with signi-
           than for GC have to be accepted as the price for high  Rcant contributions from slow sorption}desorption
           efRciency.                                      kinetics between the analyte and micelles and elec-
             The enhancement of intraparticular mass transport  trophoretic dispersion arising from the polydispersity
           is particularly important for the rapid separation of
           biopolymers,  whose  diffusion  coefRcients  are
           perhaps 100-fold smaller than those of low molecular
                                                           Table 2 Achievable theoretical plate numbers in HPLC and
           weight compounds in typical mobile phases used in  CEC
           LC. Also, the high surface area porous packings used
           for small molecules may be too retentive for bio-  Particle size  HPLC       CEC
           polymers with a signiRcant capacity for multisite in-  ( m)
           teractions. For these compounds short columns               Length  Plates/  Length  Plates/
                                                                                                column
                                                                                        (cm)
                                                                       (cm)
                                                                               column
           packed with 1.5 and 2  m pellicular or porous par-
           ticles are used for fast separations. Longer columns  5      5      55 000   50      115 000
           containing perfusive particles of a large size with  3      25      45 000   50      170 000
           large diameter through-pores to promote convective  1.5     10      30 000   50      250 000
           transport can also be used for fast separations. Per-  Column pressure drop"400 atm for HPLC and the field strength
           fusive particles are also used for the preparative-scale  (30 kV in CEC for operation at the minimum point in the van
           separation of biopolymers.                      Deemter plot.
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