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Diamagnetism

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Diamagnetism



 
 
Diamagnetism is the property of an object which causes it to create a magnetic field in opposition of an externally applied magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
, thus causing a repulsive effect. Specifically, an external magnetic field alters the orbital velocity of electrons around their nuclei, thus changing the magnetic dipole moment in the direction opposing the external field.

Consequently, diamagnetism is a form of magnetism
Magnetism

In physics, magnetism is one of the phenomena by which materials exert attractive or repulsive forces on other materials. Some well-known materials that exhibit easily detectable magnetic properties are nickel, iron, cobalt, and their alloys; however, all materials are influenced to greater or lesser degree by the presence of a magnetic fiel...
 that is only exhibited by a substance in the presence of an externally applied magnetic field.






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Diamagnetic Graphite Levitation
Diamagnetism is the property of an object which causes it to create a magnetic field in opposition of an externally applied magnetic field
Magnetic field

A magnetism field is a vector field which can exert a magnetic force on moving electric charges and on magnetic dipoles . When placed in a magnetic field, magnetic dipoles tend to align their axes parallel to the magnetic field....
, thus causing a repulsive effect. Specifically, an external magnetic field alters the orbital velocity of electrons around their nuclei, thus changing the magnetic dipole moment in the direction opposing the external field.

Consequently, diamagnetism is a form of magnetism
Magnetism

In physics, magnetism is one of the phenomena by which materials exert attractive or repulsive forces on other materials. Some well-known materials that exhibit easily detectable magnetic properties are nickel, iron, cobalt, and their alloys; however, all materials are influenced to greater or lesser degree by the presence of a magnetic fiel...
 that is only exhibited by a substance in the presence of an externally applied magnetic field. It is generally a quite weak effect in most materials, although superconductors exhibit a strong effect.

Diamagnetic properties of materials

Diamagnetism in common materials
Material?m=Km-1 x 10-5
Bismuth -16.6
Carbon (diamond) -2.1
Carbon (graphite) -1.6
Copper -1.0
Lead -1.8
Mercury -2.9
Silver -2.6
Water -0.91


All materials show a diamagnetic response in an applied magnetic field. In fact, diamagnetism is a very general phenomenon, because all paired electron
Electron pair

In chemistry, an electron pair consists of two electrons that occupy the same molecular orbital but have opposite spin_s.Because electrons are fermions, the Pauli exclusion principle forbids these particles from having exactly the same quantum numbers....
s, including the core electrons of an atom, will always make a weak diamagnetic contribution to the material's response. However, for materials that show some other form of magnetism (such as ferromagnetism
Ferromagnetism

Ferromagnetism is the basic mechanism by which certain materials form permanent magnets and/or exhibit strong interactions with magnets; it is responsible for most phenomena of magnetism Magnet#Common uses of magnets ....
 or paramagnetism
Paramagnetism

Paramagnetism is a form of magnetism which occurs only in the presence of an externally applied magnetic field. Paramagnetic materials are attracted to magnetic fields, hence have a relative magnetic permeability greater than 1 ....
), the diamagnetism is completely overpowered. Substances that mostly display diamagnetic behaviour are termed diamagnetic materials, or diamagnets. Materials that are said to be diamagnetic are those that are usually considered by non-physicists to be "non-magnetic", and include water
Water

Water is a common chemical substance that is essential for the survival of all known forms of life. In typical usage, water refers only to its liquid form or States of matter, but the substance also has a solid state, ice, and a gaseous state, water vapor or steam....
, wood
Wood

Wood is an organic material; in the strict sense wood is produced as secondary xylem in the stems of woody plants, notably trees but also shrubs, etc....
, most organic compounds such as petroleum and some plastics, and many metals including copper
Copper

Copper is a chemical element with the symbol Cu and atomic number 29.It is a ductile metal with very high thermal and electrical conductivity....
, particularly the heavy ones with many core electrons, such as mercury
Mercury (element)

Mercury , also called quicksilver or hydrargyrum , is a chemical element with the symbol Hg and atomic number 80. A heavy, silvery d-block metal, mercury is one of six elements that are liquid at or near room temperature and pressure....
, gold
Gold

Gold is a chemical element with the symbol Au and atomic number 79. It is a highly sought-after precious metal, having been used as money, as a store of value, in jewelry, in sculpture, and for ornamentation since the beginning of recorded history....
 and bismuth
Bismuth

Bismuth is a chemical element that has the symbol Bi and atomic number 83. This heavy, brittle, white crystalline trivalent poor metal has a pink tinge and chemically resembles arsenic and antimony....
.

Diamagnetic materials have a relative magnetic permeability that is less than 1, thus a magnetic susceptibility
Magnetic susceptibility

In electromagnetism the magnetic susceptibility is the degree of magnetization of a material in response to an applied magnetic field....
 which is less than 0, and are therefore repelled by magnetic fields. However, since diamagnetism is such a weak property its effects are not observable in every-day life. For example, the magnetic susceptibility
Magnetic susceptibility

In electromagnetism the magnetic susceptibility is the degree of magnetization of a material in response to an applied magnetic field....
 of diamagnets such as water is = -9.05×10-6. The most strongly diamagnetic material is bismuth
Bismuth

Bismuth is a chemical element that has the symbol Bi and atomic number 83. This heavy, brittle, white crystalline trivalent poor metal has a pink tinge and chemically resembles arsenic and antimony....
, = -1.66×10-4 , although pyrolytic graphite may have a susceptibility of = -4.00×10-4 in one plane. Nevertheless these values are orders of magnitudes smaller than the magnetism exhibited by paramagnets and ferromagnets.

Superconductors may be considered to be perfect diamagnets ( = -1), since they expel all fields from their interior due to the Meissner effect
Meissner effect

The Meissner effect is the expulsion of a magnetic field from a superconductor. Walther Meissner and Robert Ochsenfeld discovered the phenomenon in 1933 by measuring the flux distribution outside of tin and lead specimens as they were cooled below their transition temperature in the presence of a magnetic field....
.

Additionally, all conductors exhibit an effective diamagnetism when they move through a magnetic field. The Lorentz force
Lorentz force

In physics, the Hendrik Lorentz force is the force on a point charge due to electromagnetic fields. It is given by the following equation in terms of the electric field and magnetic fields:...
 on electrons causes them to circulate around forming eddy currents. The eddy currents then produce an induced magnetic field which opposes the applied field, resisting the conductor's motion.

History

In 1778 S. J. Bergman was the first person to observe that bismuth
Bismuth

Bismuth is a chemical element that has the symbol Bi and atomic number 83. This heavy, brittle, white crystalline trivalent poor metal has a pink tinge and chemically resembles arsenic and antimony....
 and antimony
Antimony

Antimony is a chemical element with the symbol Sb and atomic number 51. A metalloid, antimony has four allotropy forms. The stable form of antimony is a blue-white metalloid....
 were repelled by magnetic fields. However, the term "diamagnetism" was coined by Michael Faraday
Michael Faraday

Michael Faraday, Fellow of the Royal Society was an English chemist and physicist who contributed to the fields of electromagnetism and electrochemistry....
 in September 1845, when he realized that all materials in nature possessed some form of diamagnetic response to an applied magnetic field.

Demonstrations of diamagnetism


Curving water surfaces

If a thin (under 0.5 cm) layer of water is placed on top of a powerful magnet (such as a supermagnet) then the field of the magnet repels the water. This causes a slight dimple in the water's surface that may be seen by its reflection.

Diamagnetic levitation


Frog Diamagnetic Levitation
Diamagnets may be levitated in stable equilibrium in a magnetic field, with no power consumption. Earnshaw's theorem
Earnshaw's theorem

Earnshaw's theorem states that a collection of point charges cannot be maintained in a stable stationary mechanical equilibrium configuration solely by the electrostatic interaction of the charges....
 seems to preclude the possibility of static magnetic levitation. However, Earnshaw's theorem only applies to objects with permanent moments m, such as ferromagnets, whose magnetic energy is given by m·B. Ferromagnets are attracted to field maxima, which do not exist in free space. Diamagnetism is an induced form of magnetism, thus the magnetic moment is proportional to the applied field B. This means that the magnetic energy of diamagnets is proportional to B², the intensity of the magnetic field. Diamagnets are also attracted to field minima, and there can be a minimum in B² in free space (in fact ). The important distinction is that the sign of the induced magnetization in a diamagnet opposes the applied field, hence the attraction to minima in the field strength. Other materials with magnetization proportional to the applied field, but with the opposite sign, called "paramagnets", also obey Earnshaw's theorem and cannot be levitated by any fixed combination of magnetic, electrical, and gravitational fields.

A thin slice of pyrolytic graphite, which is an unusually strong diamagnetic material, can be stably floated in a magnetic field, such as that from rare earth
Rare-earth magnet

Rare-earth magnets are strong, ferromagnetism magnets made from alloys of rare earth elements. Rare-earth magnets are substantially stronger than ferrite or alnico magnets....
 permanent magnets. This can be done with all components at room temperature, making a visually effective demonstration of diamagnetism.

The Radboud University Nijmegen
Radboud University Nijmegen

The Radboud University Nijmegen is a university in Nijmegen, The Netherlands. Before 2004 the university was called Katholieke Universiteit Nijmegen, or Catholic University of Nijmegen....
, the Netherlands
Netherlands

The Netherlands is a country that is part of the Kingdom of the Netherlands. It is a parliamentary democratic constitutional monarchy. The Netherlands is located in North-West Europe, and bordered by the North Sea to the north and west, Belgium to the south, and Germany to the east....
, has conducted experiments where water and other substances were successfully levitated. Most spectacularly, a live frog (see figure) was levitated.

Recent experiments with studying the growth of protein crystals has led to a technique that utilizes powerful magnets to allow growth in ways that counteract Earth's gravity.

A simple homemade device for demonstration can be constructed out of bismuth plates and a few permanent magnets that will levitate a permanent magnet.

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