Electrophoresis

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Overview

For specific types of electrophoresis (for example, the process of administering medicine, iontophoresis), see electrophoresis (disambiguation).

Electrophoresis is the movement of an electrically charged substance under the influence of an electric field. This movement is due to the Coulomb force, which may be related to fundamental electrical properties of the body under study and the ambient electrical conditions by the equation given below. F is the Coulomb force, q is the charge carried by the body, E is the electric field[1]:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \bar F_e\ = q \bar E\ .

The resulting electrophoretic migration is countered by forces of friction such that the rate of migration is constant in a constant and homogeneous electric field:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): F_f\ =\ vf

Where v is the velocity and f is the frictional coefficient.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): q \bar E\ = vf

The electrophoretic mobility Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \mu is defined as followed.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \mu = {v \over E} = {q \over f}

The expression above applied only to ions at a concentration approaching 0 and in a non-conductive solvent. Polyionic molecules are surrounded by a cloud of counterions which alter the effective electric field applied on the ions to be separated. This renders the previous expression a poor approximation of what really happens in an electrophoretic apparatus.

The mobility depends on both the particle properties (e.g., surface charge density and size) and solution properties (e.g., ionic strength, electric permittivity, and pH). For high ionic strengths, an approximate expression for the electrophoretic mobility (m².V/s) is given by the Smoluchowski equation,

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \mu_e = \frac{\epsilon\epsilon_0\zeta}{\eta} ,

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \epsilon is the dielectric constant of the liquid (–), Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \epsilon_0 is the permittivity of free space (C².N.m-2), Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \eta is the viscosity of the liquid (Pa.s), and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \zeta is the zeta potential (i.e., the electrokinetic potential, taken as equal to the surface potential) of the particle (V).

Applications

Application of electrophoresis in DNA analysis

Gel electrophoresis is an application of electrophoresis in molecular biology. Biological macromolecules – usually proteins, DNA, or RNA – are loaded on a gel and separated on the basis of their electrophoretic mobility. (The gel greatly retards the mobility of all molecules present.)

Electrophoretic displays (EPD's) are a class of information display that form images by electrophoretic motion of charged, colored pigment particles. Products incorporating electrophoretic displays include the Sony Librie electronic book reader, and the iRex iLiad e-newspaper tablet, both of which use electrophoretic films manufactured by E Ink Corporation.

Electrophoresis is also used in the process of DNA fingerprinting. Certain DNA segments that vary vastly among humans are cut at recognition sites by restriction enzymes (restriction endonuclease). After the resulting DNA fragments are run through electrophoresis, the distance between bands are measured and recorded as the DNA "fingerprint."

Coatings, such as paint or ceramics, can be applied by electrophoretic deposition. The technique can even be used for 3-D printing.

Electrophoretic mobility

The electrophoretic mobility, often called Electrical mobility or just 'mobility', describes the motion of charged species in a fluid due to an external electric field. The velocity of the ion is proportional to its charge and to the electric field. The mobility is the proportionality coefficient.

The definition of the electrophoretic mobility (represented by the Greek letter nu) is:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \nu = \frac{u}{F z E} in [mol s/kg]

where u is the ion velocity due to the electric field E, z is the ion charge and F the Faraday constant.

Another simpler definition commonly used is:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \nu = \frac{|u|}{|E|} in [m2/(V·s)]

where u is the ion velocity due to the electric field E.

Nernst Einstein equation

The value of the mobility can be found from the diffusion coefficient thanks to the Nernst Einstein equation:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \nu = \frac{D}{R T}

where D is the ion diffusion coefficient, R is the universal gas constant and T is the absolute temperature.

References

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  1. John R. Taylor, Chris D. Zafiratos, and Michael A. Dubson, "Modern Physics for Scientists and Engineers," Prentice Hall, Upper Saddle River, 2004.
  • http://gslc.genetics.utah.edu/units/activities/electrophoresis/
  • W.B. Russel, D.A. Saville, and W.R. Schowalter, "Colloidal Dispersions," Cambridge University Press, Cambridge UK, 1989.
  • Voet and Voet, Biochemistry, John Whiley & sons. 1990.
  • Jahn, G. C., Hall, D.W., and Zam, S. G. 1986. A comparison of the life cycles of two Amblyospora (Microspora: Amblyosporidae) in the mosquitoes Culex salinarius and Culex tarsalis Coquillett. J. Florida Anti-Mosquito Assoc. 57, 24–27.
  • Khattak MN, Matthews RC. Genetic relatedness of Bordetella species as determined by macrorestriction digests resolved by pulsed-field gel electrophoresis. Int J Syst Bacteriol. 1993 Oct;43(4):659-64.
  • Barz, D.P.J., Ehrhard. P., Model and verification of electrokinetic flow and transport in a micro-electrophoresis device, Lab Chip, 2005, 5, 949 - 958.

ISO electrophoresis

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See also

cs:Elektroforéza da:Elektroforese de:Elektrophorese eo:Elektroforezo fa:الکتروفورز id:Elektroforesis it:Elettroforesi sr:Електрофореза su:Éléktroforésis fi:Elektroforeesi sv:Elektrofores uk:Електрофорез he:אלקטרופורזה



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