The migration of electrically charged particles in solution or suspension in the presence of an applied electric field. Each particle moves toward the electrode of opposite electrical polarity. For a given set of solution conditions, the velocity with which a particle moves divided by the magnitude of the electric field is a characteristic number called the electrophoretic mobility. The electrophoretic mobility is directly proportional to the magnitude of the charge on the particle, and is inversely proportional to the size of the particle. An electrophoresis experiment may be either analytical, in which case the objective is to measure the magnitude of the electrophoretic mobility, or preparative, in which case the objective is to separate various species which differ in their electrophoretic mobilities under the experimental solution conditions.
Gel techniques
Electrophoresis was first employed as an experimental technique by Arne Tiselius in 1937. The apparatus of Tiselius detected electrophoretic motion by the moving-boundary method, in which a boundary is created between the solution of particles to be examined and a sample of pure solvent. As the particles migrate in an electric field, the boundary between solution and solvent can be observed to move, and if there are a number of species in the solution with different electrophoretic mobilities, a series of boundaries of various shapes and magnitudes can be detected. The moving-boundary method was used for three decades to separate complex mixtures of charged macromolecules in solution and to study the physical characteristics of solutions of proteins and other macromolecules of biological and industrial importance.
The resolving power of electrophoresis was greatly improved by the introduction of the use of gel supporting media. The gel matrix prevents thermal convection caused by the heat which results from the passage of electric current through the sample. The absence of convection reduces greatly the mixing of the various parts of the sample, and therefore allows for more stable separation. The dimensions of the cross-links of the gel may also provide a molecular sieving effect, which increases the resolving power of the electrophoretic separation of molecules of different size. In addition, the gel media may support a gradient of a separate reagent, which assists in the separation of macromolecules. Gradients of pH and of reagents of various types may be combined in two-dimensional arrays for even greater resolving power. A very successful derivative of the gel technique is the determination of the molecular weights of protein molecules by electrophoresis of the molecules in a gel medium which contains substantial amounts of detergent. The detergent denatures the protein molecules, changing them from globular, compact structures to long, flexible polymers which are coated with detergent molecules. These polymers move in the electric field through the gel medium with a velocity which is determined by the length of the polymer, and therefore by the molecular weight of the protein unit. This method is the most common technique for the determination of molecular weights of proteins in biochemical studies. See also Gel; pH; Protein.
Isoelectric focusing
An important variation of the electrophoresis technique is isoelectric focusing. In this technique the medium supports a pH gradient which includes the isoelectric pH of the species being studied. Many charged macromolecules have both positive and negative charges on their surfaces, and the electrophoretic mobility is related to the net excess of charge of one type or the other. As the pH becomes more acidic, the number of positive charges increases, and as the pH becomes more basic, the number of negative charges increases. For each molecule of this type, there is one pH at which the net charge on the surface is zero, so that the molecule does not move when an electric field is applied and thus has an electrophoretic mobility of zero. This pH is called the isoelectric pH. If the molecule is introduced into a pH gradient which includes its isoelectric pH, it will migrate to the position of the isoelectric pH and then become stationary. In this way, all molecules of a given isoelectric pH will migrate to the same region—hence the term isoelectric focusing. The method of isoelectric focusing is particularly good for the analysis of microheterogeneity of protein species and other species which may differ slightly in their chemical content. See also Isoelectric point.
Laser applications
Application of the optical laser to electrophoretic detection resulted in the development of a technique which can be used for analytical electrophoresis experiments on particles of all sizes. The basic principle is that the highly monochromatic (single-frequency) laser light impinges upon the particles and is scattered from the particles in all directions. When observing the laser light which has been scattered from a moving particle, one can detect that there is a slight shift in the frequency of the light as a result of the motion of the particle. The application of the laser Doppler principle to electrophoresis experiments, often called electrophoretic light scattering (ELS), is an important method for the rapid determination of electrophoretic velocities. Electrophoretic light scattering has been used for the study of many types of living cells, cell organelles, viruses, proteins, nucleic acids, and synthetic polymers. See also Electrolytic conductance.
Capillary electrophoresis
Electrophoresis can be performed in a capillary format. A typical system consists of two reservoirs and a capillary filled with a buffer solution. A high voltage is applied across the capillary by using a high-voltage power supply. The very small diameter capillaries (typically 5–100 micrometers) employed in this technique allow for efficient heat dissipation. Therefore, much higher voltages can be employed than those used in slab gel electrophoresis, leading to faster, more efficient separations. Compounds are separated on the basis of their net electrophoretic mobilities.
Most often, the detector is placed on line and analytes are detected as they flow past the detector. Spectroscopic detection (ultraviolet and laser-based fluorescence) is usually performed in this manner by using the capillary itself as the optical cell. Alternatively, detectors can be placed off line (after the column). In this case, the detector is isolated from the applied electric field through the use of a grounding joint. Electrochemical detection and mass spectroscopic detection are generally accomplished in this manner, since the electric field can interfere with the performance of these detectors.
Capillary zone electrophoresis is the simplest and most widely used form of capillary electrophoresis. The capillary is filled with a homogeneous buffer, and compounds are separated on the basis of their relative charge and size. Most often, fused silica capillaries are employed. In this case, an electrical double layer is produced at the capillary surface due to the attraction of positively charged cations in the buffer to the ionized silanol groups on the capillary wall. In the presence of an electric field, the cations in the diffuse portion of this double layer move toward the cathode and drag the solvent with them, producing an electroosmotic flow. The resulting flow profile is flat rather than the parabolic shape characteristic of liquid chromatography. This flat flow profile causes analytes to migrate in very narrow bands and leads to highly efficient separations. The electroosmotic flow is also pH dependent, and it is highest at alkaline pH values.
In most cases, the electroosmotic flow is the strongest driving force in the separation, and all analytes, regardless of charge, migrate toward the cathode. Therefore, it is possible to separate and detect positive, negative, and neutral molecules in the same electrophoretic run, if the detector is placed at the cathodic end. Negatively charged compounds are attracted to the anode but are swept up by the electroosmotic flow and elute last. Neutral molecules, which are not separated from each other in capillary zone electrophoresis, elute as a single band with the same velocity as the electroosmotic flow. Positive compounds have positive electrophoretic mobilities in the same direction as the electroosmotic flow, and they elute first (see illustration). Capillary zone electrophoresis is generally employed for the separation of small molecules, including amino acids, peptides, and small ions, and for the separation of drugs, their metabolites, and degradation products.

Capillary zone electrophoresis. (a) Separation mechanism showing electrophoretic mobility of the positive ion (μM+) and negative ion (μM−); N is a neutral molecule. (b) Migration order of the ions.
All capillary electrophoresis methods have the advantage of the ability to analyze small volumes (typical injection volumes are 1–50 nanoliters). This makes it possible to analyze very small samples or to use the same sample for several different analyses. One unique application of this technique is the determination of amino acids and neutrotransmitters in single cells.
Alternating-field electrophoresis
Alternating-field agarose gel electrophoresis is a technique for separating very large molecules of deoxyribonucleic acid (DNA); fragments of DNA ranging in size from 30 to 10,000 kilobasepairs (kb) can be resolved. For the molecular biologist, this is a considerable advance over conventional agarose gel electrophoresis, which is limited to the resolution of less than 50 kb.
Conventional gel electrophoresis employs a single pair of electrodes to generate an electric field that is constant in both time and direction and that is uniform across the gel. DNA molecules are negatively charged with a uniform charge-to-mass ratio and thus migrate steadily toward the positive electrode. Although DNA is a linear molecule, in solution it tends to collapse into a random coil configuration. Agarose is a porous material that acts like a sieve, retarding the movement of the DNA; the larger the molecule, the more the retardation, and thus the molecules separate on the basis of size. However, above approximately 50 kb, the dimensions of the random coil are larger than the pore size of the agarose. The DNA can no longer be sieved through the gel, and resolution is lost.
Contrary to conventional electrophoresis, alternating-field electrophoresis does not use a constant electric field but one which regularly alternates in direction. With each change in field direction, the DNA molecules attempt to reorient themselves. When this happens, an end or a small loop of the molecule, which has dimensions much smaller than those of the random coil of the entire molecule, may find itself positioned by a pore in the agarose. The electric field can then pull the DNA by the end through the hole. When the field regularly alternates from one direction to another, the DNA regularly reorients and is pulled through an adjacent hole.
Not all molecules in the system will make equal progress under these conditions, because not all molecules can reorient themselves with equal speed. The larger the molecule, the more time it requires in a given field strength (determined by the applied voltage) to change directions and the less time it has left to move.