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              Electrophoresis                                                                             373

              lines such as Raman lines). If an external, polarized elec-  III. ELECTROPHORESIS IN
              tric field is applied to the solution, the molecules drift in  A STATIONARY MATRIX
              the fixed direction as well as diffuse. In the Fourier trans-
              form this is equivalent to multiplying the transform by the  Despite the decline in the application of free-solution elec-
              transform of a uniform linear motion, which happens to  trophoresis to physical chemistry, the results from this
              be a single sine function. The result in QEL is to replace  work showed that electrophoresis has a unique place in
              the constantly decaying relaxation curve by a peak about  studiesofbiologicalmacroions.Thus,attemptsweremade
              which the relaxation occurs. The amount this peak is dis-  to reduce the technical problems associated with elec-
              placed from the zero time of the autocorrelation time scale  trophoresing mixtures of macroions. Efforts were directed
              is a measure of the constant velocity (or its period) of the  at reducing the convective distrubances of the moving
              scattering ions, while from the relaxation time the diffu-  boundaries by introducing a neutral but physically inert
              sion coefficient and hence the frictional coefficient can be  matrix to support the solutions. Initially, paper saturated
              estimated. Since the time required to collect the autocor-  with suitable buffers was used, and a spot of the solution of
              relation data following a single electrical pulse can be as  macroion was placed on the paper before the electric field
              low as 1 msec, this means that short repetitive pulses of  was applied across the strip. The positions of the bands at
              relatively high voltage can be applied across the solution  the end of the experiment were found by selective staining.
              and synchronized with the autocorrelation of the scattered  This was reasonably successful for some applications, but
              photons. Often, in this technique platinum electrodes are  because particles moved in a solvent that was adsorbed
              used to apply the voltage rather than reversible electrodes.  to the surface of the cellulose fibers in the paper, there
              Naturally, with these electrodes, electrolysis of the sol-  were inconsistencies in the overall conduction of the ions.
              vent occurs, and this generates a pH gradient between the  Heating in regions of low electrical resistance dried the
              electrodes. This effect can be reduced if the polarity of the  paper unevenly even in a saturated atmosphere.
              electrodes is reversed between pulses, but more reliable re-  For these reasons paper was replaced by starch gels,
              sults could be obtained if reversible silver/silver chloride  and here the proportion of free solvent to inert matrix was
              electrodes were used. The fact that reversing the polarity  considerably higher than could be achieved with paper.
              reverses the movement does not affect the analysis, pro-  These gels are stabilized by weak intermolecular forces
              vided that the voltages of the pulses remain constant and  (hydrogen bonding and van der Waals dispersion forces).
              movement is across the incident light beam. If the angle  Thus, they require a backing plate for transferring the gel
              between the incident light and scattered light is decreased,  to a staining medium, and this disturbed the gels during
              the transport vector decreases in magnitude until at full-  handling. Furthermore, untreated starch has a number of
              forward scattering only the diffusion is important. It is  free phosphate groups covalently linked to the carbohy-
              thus possible to discriminate between the two effects by  drate chains, and these cause undesirable pumping of wa-
              measuring the correlation function at a range of angles.  ter(electroosmosis)whenanelectric fieldisappliedacross
                Few results on the use of this procedure for macroions  the starch strips. These difficulties prompted workers to
              having relative masses of less than a million have been re-  search for gels that were electrically neutral as well as
              ported. This is because smaller biological macroions have  physically strong enough to be handled without distro-
              relatively small scattering cross, sections, and a lengthy  tion. This led to the development of modern polyacry-
              experiment is required to obtain a statistically significant  lamide gels. These gels form the matrix for most present-
              result. For small molecules the repetitive pulsing has to  day electrophoretic analyses.
              extend over many minutes, and in this time extraneous ef-
              fects, such as the accumulation of electrolysis products (if
              platinum electrodes must be used) or of gas bubbles, dis-  A. Polyacrylamide Gel Electrophoresis
              trub the result. The technique is ideal for simultaneously  Acrylamide has the chemical structure given in Fig. 4a,
              studying diffusion and charge on a macroion, because dif-
                                                                and it is the opening of the double (π) bond that leads
              fusion can be converted directly to a frictional coefficient,
                                                                to the polymerization. It is necessary to activate this
              which means that charge can be correctly calculated from
              the mobility [see Eq. (6)]. Examples of suitable macroions
              are viruses and particles from biological cells. Another ad-
              vantage of the heterodyne method is that it is possible to
              define a “frequency window” for the analysis of a given
              size of molecule, so that specific ions can be followed even
              when present in a mixture of smaller or very much larger  FIGURE 4 Chemical structures of (a) acrylamide and (b) N,N -
              ions.                                             methylenebisacrylamide (bisacrylamide).
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