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Electrophoresis

physical science Maturity 9-11 Next article →

Electrophoresis is a scientific process used to move charged particles through a liquid. These particles can be tiny molecules, such as DNA, RNA, or proteins. The motion happens when these particles are placed within a spatially uniform electric field. This field acts as a guiding force that pulls the particles in specific directions. Scientists use this technique in laboratories to separate macromolecules. They can sort these molecules based on their charge, size, shape, or binding affinity.

Motion by electrophoresis of a charged particle
Motion by electrophoresis of a charged particle

The mechanism of electrophoresis depends on the electrical charge of the particles. Most of these particles are zwitterionic, meaning they have a net positive or negative charge. This charge is often measured as zeta potential. In a typical setup, an electric field creates two poles. The negative pole is called the cathode. The positive pole is called the anode. Anionic molecules, which carry a negative charge, will move toward the positive anode. This specific movement is sometimes called anaphoresis. Conversely, the movement of positively charged particles, known as cations, is called cataphoresis.

Motion by electrophoresis of a charged particle
Motion by electrophoresis of a charged particle

There is a complex physical interaction occurring during this movement known as the double layer theory. Every charged particle in a fluid is surrounded by a diffuse layer of ions. This layer has the same absolute charge as the particle but the opposite sign. When an electric field is applied, it exerts a force on both the particle and the ions in this layer. The field pulls the ions in the opposite direction of the particle. This creates a force called the electrophoretic retardation force, or ERF. This force is transferred to the particle through viscous stress, acting as a drag that resists motion.

Retardation Force
Retardation Force

To understand how fast these particles move, scientists look at the drift velocity. In environments with a low Reynolds number and moderate electric field strength, the velocity is proportional to the applied field. This relationship defines electrophoretic mobility. The thickness of the ion layer, known as the Debye length, plays a critical role. If the Debye length is thick, the point where the retardation force acts is further from the particle. A thicker layer results in a smaller retardation force. This relationship helps researchers predict how different particles will behave in various liquids.

History shows how our understanding of this process has grown through different mathematical models. In 1903, Marian Smoluchowski developed a widely used theory. His model is powerful because it works for particles of any shape and concentration. It is especially accurate for aqueous systems where the Debye length is very thin. However, it does not account for the Debye length itself. Later, Erich Hückel predicted a different relation for electrophoretic mobility. His model applies to the opposite case where the Debye length is larger than the particle radius. This is useful for studying nanoparticles or non-polar fluids.

Retardation Force
Retardation Force

Modern science has expanded these theories to cover even more complex scenarios. Scientists like Theodoor Overbeek and F. Booth worked to include surface conductivity in their models. This helped remove the restrictions found in earlier theories. Today, rigorous theories like the Dukhin–Semenikhin theory are valid for any zeta potential. For very complex modeling, researchers use a combined mathematical approach. They use Poisson's equation to model the electric field. They use Stokes law to model fluid flow. Finally, they use the Nernst–Planck equation to track the transport of different ions.

Retardation Force
Retardation Force

Electrophoresis is a fundamental tool in biochemistry and molecular biology. It allows researchers to analyze the building blocks of life, such as DNA and proteins. It is also used in the study of liquid "droplet electrophoresis." This version is different from classic particle electrophoresis because of the mobile surface charge of the droplets. In liquid-liquid systems, there is a complex interplay between hydrodynamic and electrokinetic forces. This makes the motion even more intricate to study. By mastering these forces, scientists can precisely separate and identify the smallest components of our world.

Motion by electrophoresis of a charged particle
Motion by electrophoresis of a charged particle
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