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Hall effect

Hall effect, experiment that shows the sign of the charge carriers in a conductor. In 1879 E. H. Hall discovered that when he placed a metal strip carrying a current in a magnetic field, a voltage difference was produced across the strip. The side of the strip that is at the higher voltage depends on the sign of the charge carrier; Hall's work demonstrated that in metals the charge carriers are negative. Today it is known that this negative charge carrier is the electron. The Hall effect has again become an active area of research with the discovery of the quantized Hall effect, for which Klaus von Klitzing was awarded the 1985 Nobel Prize in physics. Before von Klitzing's work it was thought that the amount of voltage difference across the strip varied in direct proportion to the strength of the magnetic field—the greater the magnetic field, the greater the voltage difference. Von Klitzing showed that under the special conditions of low temperature, high magnetic field, and two-dimensional electronic systems (in which the electrons are confined to move in planes), the voltage difference increases as a series of steps with increasing magnetic field.

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Hall effect

Hall effect A strip of metal or semiconductor carrying an electrical current within a strong, transverse, magnetic field develops a potential at right angles to both the current and the field. This forms the basis for some sensitive magnetometers. The effect was discovered by Edwin Hall (1855–1938).

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Hall Effect

Hall Effect

Importance of Hall effect

Resources

The Hall effect, in physics, is the potential difference that occurs on opposite sides of a conducting material when an electric current is present, thus, creating a magnetic field perpendicular to the current.

A current-carrying body placed in a magnetic field (with the current direction unaligned with the field) experiences a force leading to a transient sidewise drift of the charge carriers of the current. This drift continues until the force is balanced by an electric field produced by the charge accumulating at points on the bodys surface in the direction of the drift. At points on the bodys surface opposite the direction of the drift, there will clearly be an equal depletion of charge, which is equivalent to an accumulation of charge of opposite sign. The electric field created by this transient behavior is called the Hall field and results in a potential difference between corresponding

KEY TERMS

Electric current The flow of charge carriers, like electrons and holes, whose direction is defined as that of the carriers if positive and opposite that of the carriers if negative.

Electric field The force per unit charge acting on a charged body when placed in the vicinity of electric charges. The direction of the field is the same as that of the force on a positive charge or the opposite of that of the force on a negative charge.

Hole An electron vacancy in the lattice structure of a semiconductor caused by an impurity atom with one less electron than needed for complete bonding with the structure. Holes can drift through the lattice under the action of an electric field as though they were positively charged particles.

Magnetic field The force per unit pole strength acting on a magnetic pole when placed in the vicinity of a magnet. The direction of the field is the same as that of the force on a north pole or the opposite of that of the force on a south pole. To provide a test pole to measure the field, a long magnet must be used so that its north and south poles are far enough apart to consider them isolated.

Potential difference The energy per unit charge that is necessary to move a positive charge from a point of low potential to a point of high potential.

Semiconductor A material whose electrical conductivity is midway between that of a conductor and an insulator and which increases with temperature, such as silicon or germanium.

points on the two oppositely charged surfaces. The sign of the charge carriers determine which of the two surfaces is at the higher potential. If the carriers are positive, the surface in the direction of their drift will be at the higher potential; if the carriers are negative, the surface in the direction of their drift will be at the lower potential. The phenomenon thus described is called the Hall effect after Edwin Herbert (E.H.) Hall (18551938), who discovered it in 1879.

A little over a century later, it was discovered by German physicist Klaus von Klitzing (1943) that the Hall potential in a semiconducting material experiences quantum jumps as the magnetic field is increased when subjected to temperatures far below room temperature. This remarkable discovery has made it possible to measure an important constant of physics, called the fine structure constant, to a heretofore unattainable accuracy. In addition, it provides scientists with a readily achieved standard for making accurate determinations of conductivity. For this discovery, von Klitzing was awarded the Nobel Prize in 1985.

Importance of Hall effect

Of monumental importance to todays technology is a class of materials whose ability to conduct electric current increases with temperature and whose charge carriers can be either positive or negative, depending on the impurity introduced into them. These materials are called semiconductors, prime examples of which are the elements silicon and germanium. When these elements are given traces of the appropriate impurity element, they can be made into either p-type (containing positive carriers called holes) or n-type (containing negative carriers called electrons). The Hall effect is then used to confirm which type of material one is dealing with. Furthermore, by measuring the Hall potential, the current, the magnetic field, and the sample geometry, it is easy to calculate the number of charge carriers per unit volume in the material tested.

In the 1940s, it was found that junctions could be formed with these two different types of semiconductors across which current could flow only in one direction. Devices of this kind are called rectifiers or diodes and are vital for converting alternating current to direct current, adding or removing audio and video signals from their carrier waves, and many other applications. It was also found that more than two junctions could be formed in one device, and these were called transistors. These devices were capable of being employed in amplifier and oscillator circuits in radios and televisions. Previously, rectifiers, amplifiers, and oscillators used vacuum tubes as their essential components, which were generally bulky, used lots of power, and burned out frequently. The new semiconductor devices had none of these problems.

In the 1950s and 1960s, it was learned how to create many transistor circuits on a small chip using integrated circuitry. Without this new technology, the powerful computers that were used in the United States space program and are now found universally in the form of compact personal computers, cell phones, and other electronic devices would not have been possible. Even more importantly, without the discovery of the Hall effect and its use in the scientific investigation of semiconducting materials, this sequence of developments could not have even begun. Finally, with the discovery of its large-scale quantum behavior, the future role of the Hall effect in the advancement of science and technology may eventually prove to be even greater than its past role.

Resources

BOOKS

Folan, Lorcan M. Modern Physics and Technology for Undergraduates. River Edge, NJ: World Scientific, 2003.

Ramsden, Ed. Hall-effect sensors: Theory and Applications. Amsterdam and Boston, MA: Elsevier/Newnes, 2006.

Taylor, John Robert. Modern Physics for Scientists and Engineers. Upper Saddle River, NJ: Pearson Prentice Hall, 2004.

Young, Hugh D. Sears and Zemanskys University Physics. San Francisco, CA: Pearson Addison Wesley, 2004.

Frederick L. Culp

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Hall Effect

Hall effect

A current-carrying body placed in a magnetic field with the current direction unaligned with the field experiences a force leading to a transient sidewise drift of the charge carriers of the current. This drift continues until the force is balanced by an electric field produced by the charge accumulating at points on the body's surface in the direction of the drift. At points on the body's surface opposite the direction of the drift, there will clearly be an equal depletion of charge, which is equivalent to an accumulation of charge of opposite sign. The electric field created by this transient behavior is called the Hall field and results in a potential difference between corresponding points on the two oppositely charged surfaces. Which of the two surfaces is at the higher potential is determined by the sign of the charge carriers. If the carriers are positive, the surface in the direction of their drift will be at the higher potential; if the carriers are negative, the surface in the direction of their drift will be at the lower potential. The phenomenon thus described is called the Hall effect after E. H. Hall, who discovered it in 1879. A little over a century later, it was discovered by Klaus von Klitzingthat the Hall potential in a semiconducting material experiences quantum jumps as the magnetic field is increased when subjected to temperatures far below room temperature . This remarkable discovery has made it possible to measure an important constant of physics , called the fine structure constant, to a heretofore unattainable accuracy . Also, it provides scientists with a readily achieved standard for making accurate determinations of conductivity. For this discovery, von Klitzing was awarded the Nobel prize in 1985.

Importance of Hall effect

Of monumental importance to today's technology is a class of materials whose ability to conduct electric current increases with temperature and whose charge carriers can be either positive or negative, depending on the impurity introduced into them. These materials are called semiconductors, prime examples of which are the elements silicon and germanium. When these elements are given traces of the appropriate impurity element, they can be made into either p-type (containing positive carriers called holes) or n-type (containing negative carriers called electrons). The Hall effect is then used to confirm which type of material one is dealing with. Furthermore, by measuring the Hall potential, the current, the magnetic field, and the sample geometry , it is easy to calculate the number of charge carriers per unit volume in the material tested. In the 1940s, it was found that junctions could be formed with these two different types of semiconductors across which current could flow only in one direction. Devices of this kind are called rectifiers or diodes and are vital for converting alternating current to direct current, adding or removing audio and video signals from their carrier waves, and many other applications. It was also found that more than two junctions could be formed in one device, and these were called transistors. These devices were capable of being employed in amplifier and oscillator circuits in radios and TVs. Previously, rectifiers, amplifiers, and oscillators used vacuum tubes as their essential components, which were generally bulky, used lots of power, and burned out frequently. The new semiconductor devices had none of these problems. In the 1950s and 1960s, it was learned how to create many transistor circuits on a small chip using integrated circuitry. Without this new technology, the powerful computers that were used in our space program and are now found universally in the form of compact personal computers would not have been possible. Even more importantly, without the discovery of the Hall effect and its use in the scientific investigation of semiconducting materials, this sequence of developments could not have even begun. Finally, with the discovery of its large-scale quantum behavior, the future role of the Hall effect in the advancement of science and technology may eventually prove to be even greater than its past role.


Resources

books

Serway, Raymond A., Physics: For Engineers and Scientists with Modern Physics. 3rd ed., Philadelphia: Saunders College Publishing, 1992.


Frederick L. Culp

KEY TERMS

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Electric current

—The flow of charge carriers, like electrons and holes, whose direction is defined as that of the carriers if positive and opposite that of the carriers if negative.

Electric field

—The force per unit charge acting on a charged body when placed in the vicinity of electric charges. The direction of the field is the same as that of the force on a positive charge or the opposite of that of the force on a negative charge.

Hole

—An electron vacancy in the lattice structure of a semiconductor caused by an impurity atom with one less electron than needed for complete bonding with the structure. Holes can drift through the lattice under the action of an electric field as though they were positively charged particles.

Magnetic field

—The force per unit pole strength acting on a magnetic pole when placed in the vicinity of a magnet. The direction of the field is the same as that of the force on a north pole or the opposite of that of the force on a south pole. To provide a test pole to measure the field, a long magnet must be used so that its north and south poles are far enough apart to consider them isolated.

Potential difference

—The energy per unit charge that is necessary to move a positive charge from a point of low potential to a point of high potential.

Semiconductor

—A material whose electrical conductivity is midway between that of a conductor and an insulator and which increases with temperature, such as silicon or germanium.

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"Hall Effect." The Gale Encyclopedia of Science. . Encyclopedia.com. 19 Sep. 2018 <http://www.encyclopedia.com>.

"Hall Effect." The Gale Encyclopedia of Science. . Encyclopedia.com. (September 19, 2018). http://www.encyclopedia.com/science/encyclopedias-almanacs-transcripts-and-maps/hall-effect-0

"Hall Effect." The Gale Encyclopedia of Science. . Retrieved September 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/science/encyclopedias-almanacs-transcripts-and-maps/hall-effect-0

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Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

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American Psychological Association

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Notes:
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  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.