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24   I / CENTRIFUGATION/ Derivatization


                                                           conducted in a density gradient. The density range of
                                                           the gradient often spans the full range of particle
                                                           densities so that particles never reach the rotor wall,
                                                           regardless of run time. Instead, particles move
                                                           through the gradient until they reach a position in
                                                           which the medium density is the same as their own
                                                           (Figure 5). As governed by the settling velocity equa-
                                                           tions (eqns [13] and [14]), particles introduced to the
                                                           top of a performed gradient sediment relatively
                                                           quickly at Rrst, with movement slowing as the dif-
                                                           ference in density between particles and gradient les-
                                                           sens and essentially stopping once the particles reach
                                                           a position in the rotor where the density of the me-
                                                           dium is equal to their own. Particles remain in this
                                                           terminal position even after the rotor is stopped; this
                                                           allows them to be recovered as density fractions.
                                                           Differences  in  particle  size  only  affect  their
                                                           rate of movement, though this may ultimately dictate
                                                           the required run time. When the range of particle
           Figure 4 Rate-zonal separation in a swinging-bucket rotor.  densities exceeds the range of the density gradient,
           (Courtesy of Beckman Instruments, Inc.)         then a mixture of pelleting and isopycnic separations
                                                           will occur as some particles fully traverse the rotor
           separation, larger particles sediment more rapidly,  and pellet while others attain their isopycnic position
           just as in a pelleting run. Also similar to a pelleting  and remain suspended. While most density gradients
           run, the maximum medium density is lower than the  are formed by the loading of solutions of successively
           density of the particles being processed. However,  higher density to the rotor, it is possible to form such
           unlike pelleting runs, the run must be stopped before  gradients in situ from a homogeneous solution at high
           particles reach the bottom of the tube or rotor wall,
           otherwise all sample components will simply sedi-
           ment to the pellet.
             Rate or setting velocity separations may be conduc-
           ted with a homogeneous medium in batch or semi-
           batch mode. However, the use of density-gradient
           media offers several advantages. The steep gradi-
           ent beneath the layer of sample suppresses premature
           sedimentation as well as convection currents in the
           liquid column, both of which lower the separation
           efRciency. In addition, the continuous increase in
           density, often accompanied by an increase in viscosity
           across the rotor, serves to slow the faster-moving
           particles and provide better resolution in the sample
           component bands. Increasing-viscosity gradients also
           lessen  diffusional  effects,  though  this  ad-
           vantage may be offset by an increase in the re-
           quired run time. Rate-zonal separations are well
           suited for mixtures of particles of similar density that
           exhibit two or more well-deRned modes of size distri-
           bution. However, owing to the additional steps and
           equipment required for DGC as opposed to pelleting,
           DGC separations are more commonly used to separ-
           ate particle mixtures based on a parameter other than
           size, e.g. density.

           Isopycnic separations These separations, which are  Figure 5 Isopycnic separation with a self-generating gradient.
           based on differences in particle densities, are  (Courtesy of Beckman Instruments, Inc.)
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