 Schematic quadrupole magnet(" four-pole") used to focus particle beams in a particle accelerator. There are four steel pole tips, two opposing magnetic north poles and two opposing magnetic south poles. The steel is magnetized by a large electric current that flow in the coils of tubing wrapped around the poles. A quadrupole is one of a sequence of configurations of electric charge or gravitational mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity. Image File history File links This is a lossless scalable vector image. ...
Image File history File links This is a lossless scalable vector image. ...
Quadrapole magnets sometimes called correctors, are designed to create a magnetic field whose magnitude grows linearly with the radial distance from its longitudinal axis, which is usually centered on and parallel to the main motion of the charged particles. ...
For the DC Comics Superhero also called Atom Smasher, see Albert Rothstein. ...
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Mathematical Definition
In the multipole expansion of a potential, V, where Pn is the degree-n Legendre polynomial, and θ is the angle between the vectors x and y, the n=2 term is the quadrupole. Note: The term Legendre polynomials is sometimes used (wrongly) to indicate the associated Legendre polynomials. ...
Electric multipoles
 Electric Quadrupole. Four charges, 2 positive and 2 negative. The arrows depict the electric fields, and the lines the equipotential surfaces. In the theory of electricity there are two signs of electric charge. The net total charge is the monopole moment. If there are charges of two signs separated, then there is a dipole moment along the line connecting the charges. If there is no net charge, the lines of force resemble those of a bar magnet. If there are charges of both signs, but separated in a more complicated way, an electric quadrupole, but not a monopole or dipole may be present, as depicted in the figure on the electric quadrupole. Configurations of electric charges of dipole and higher multipolar nature that change in time radiate electromagnetic radiation, whose character is named dipole, quadrupole, etc. according to a specific pattern generated by such sources. (There is no monopole radiation due to the conservation of electric charge.) Image File history File links Quadrupolecharges. ...
Image File history File links Quadrupolecharges. ...
Lightning strikes during a night-time thunderstorm. ...
Electric charge is a fundamental conserved property of some subatomic particles, which determines their electromagnetic interaction. ...
In physics, magnetic monopole is a term describing a hypothetical particle that could be quickly clarified to a person familiar with magnets but not electromagnetic theory as a magnet with only one pole. In more accurate terms, it would have net magnetic charge. Interest in the concept stems from particle...
The Earths magnetic field, which is approximately a dipole. ...
Line of force or line of flux , usually taken in the context of electromagnetism, is the curve whose tangent gives the direction of the field at that point. ...
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Magnetic multipoles For an example, see the quadrupole magnet article. Quadrapole magnets sometimes called correctors, are designed to create a magnetic field whose magnitude grows linearly with the radial distance from its longitudinal axis, which is usually centered on and parallel to the main motion of the charged particles. ...
Because the existence of magnetic monopoles has never been confirmed, they are often assumed not to exist; certainly they cannot at the present time, 2007, be made in the laboratory or put to any known use. Thus, the magnetic sequence, though similar to the electric one, begins with the dipole case, which can consist of an ideal bar magnet. To make a quadrupole we could place two identical bar magnets parallel to each other such that the North pole of one is next to the South of the other and vice versa; the result is a configuration like that in the figure above with North poles in place of the positive charges and South in place of negative;. Such a configuration would have no dipole moment, and its field will decrease at large distances faster than that of a dipole—see below. Again, a changing dipole or quadrupole moment will lead to the production of electromagnetic radiation. In physics, magnetic monopole is a term describing a hypothetical particle that could be quickly clarified to a person familiar with magnets but not electromagnetic theory as a magnet with only one pole. In more accurate terms, it would have net magnetic charge. Interest in the concept stems from particle...
2007 (MMVII) is the current year, a common year starting on Monday of the Gregorian calendar and the Anno Domini era. ...
The Earths magnetic field, which is approximately a dipole. ...
The Earths magnetic field, which is approximately a dipole. ...
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Gravitational multipoles The situation here is similar to the magnetic case; the difference is that mass is only positive, and so there is no dipole moment. There are gravitational monopoles; they are very commonly represented by ideal, stationary, spherically symmetric suns, planets, and so on. A gravitational quadrupole can be represented by two massive balls (say, lead) on opposite ends of a light rod, or, more simply, just as a long massive rod or a thin massive disk. A prolate (American football-shaped) or oblate spheroidal mass has a quadrupole moment. For example, the Earth is flattened at the poles, so it has a quadrupole moment. If a quadrupole (or higher order multipole) of mass rotates or oscillates (in vibration) it will emit gravitational radiation. Image File history File links Information_icon. ...
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Unsolved problems in physics: What causes anything to have mass? The U.S. National Prototype Kilogram, which currently serves as the primary standard for measuring mass in the U.S. Mass is the property of a physical object that quantifies the amount of matter and energy it is equivalent to. ...
In mathematics, a spheroid is a quadric surface in three dimensions obtained by rotating an ellipse about one of its principal axes. ...
Multipole moments in mathematics and mathematical physics are an orthogonal basis for the decomposition of a function, based on the response of a field to point sources that are brought infinitely close to each other. ...
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Distance dependence of multipole fields The sequence monopole, dipole, quadrupole can be extended to higher orders in a multipole expansion. A simple quadrupole is constructed by placing two opposing dipoles near each other, an octupole by adding another opposing quadrupole displaced from the one just made, and so on. The static fields of electric and magnetic multipoles fall off more and more rapidly as one moves away to an increasing radius r from the center. A monopole field (as for a single electric charge, or a single mass in Isaac Newton's law of universal gravitation) falls off with the inverse square law. A dipole field falls off as the inverse cube of the distance, a quadrupole as the inverse fourth power, and so on. This article is in need of attention from an expert on the subject. ...
Multipole moments in mathematics and mathematical physics are an orthogonal basis for the decomposition of a function, based on the response of a field to point sources that are brought infinitely close to each other. ...
Sir Isaac Newton, (4 January 1643 – 31 March 1727) [ OS: 25 December 1642 – 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist, regarded by many as the greatest figure in the history of science. ...
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In physics, an inverse-square law is any physical law stating that some quantity is inversely proportional to the square of the distance from a point. ...
When varying configurations of charges, currents, or masses are present, however, radiation is generally produced, and the radiation field falls off only as the first power of the distance, at large distances.
References Jackson, John David (1975). Classical Electrodynamics. John Wiley & Sons. ISBN 047143132X.
See also Quadrupole Ion Trap A quadrupole ion trap (also known as a Paul trap, QIT, twisted quadrupole ion trap or sometimes just ion trap) refers to an ion trap that uses static and radio frequency (RF) ~1MHz oscillating AC electric fields to trap ions as well a mass spectrometer that uses such a trap...
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