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Spin ice

Index Spin ice

A spin ice is a magnetic substance that does not have a single minimal-energy state. [1]

52 relations: Absolute zero, Atom, Ångström, Bohr magneton, Chemical compound, Cryogenics, Crystallinity, Crystallographic defect, Deconfinement, Dirac string, Divergence theorem, Dysprosium titanate, Electron magnetic moment, Emergence, Entropy, Exponential function, Field (physics), Fractionalization, Geometrical frustration, Ground state, Heat capacity, Holmium titanate, Hydrogen, Ice, Ice rules, Intensive and extensive properties, Ion, Ising model, Lieb's square ice constant, Linus Pauling, Magnetic moment, Magnetic monopole, Magnetic susceptibility, Molecule, Neutron scattering, Oxygen, Philip Warren Anderson, Planck constant, Proton, Quantum electrodynamics, Quantum spin liquid, Quasiparticle, Residual entropy, Science (journal), Science Daily, Spin (physics), Spin glass, Spinel, Statistical mechanics, Temperature, ..., Tetrahedral molecular geometry, Tetrahedron. Expand index (2 more) »

Absolute zero

Absolute zero is the lower limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as 0.

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Atom

An atom is the smallest constituent unit of ordinary matter that has the properties of a chemical element.

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Ångström

The ångström or angstrom is a unit of length equal to (one ten-billionth of a metre) or 0.1 nanometre.

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Bohr magneton

In atomic physics, the Bohr magneton (symbol μB) is a physical constant and the natural unit for expressing the magnetic moment of an electron caused by either its orbital or spin angular momentum.

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Chemical compound

A chemical compound is a chemical substance composed of many identical molecules (or molecular entities) composed of atoms from more than one element held together by chemical bonds.

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Cryogenics

In physics, cryogenics is the production and behaviour of materials at very low temperatures.

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Crystallinity

Crystallinity refers to the degree of structural order in a solid.

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Crystallographic defect

Crystalline solids exhibit a periodic crystal structure.

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Deconfinement

In physics, deconfinement (in contrast to confinement) is the property of a phase in which certain particles are allowed to exist as free excitations, rather than only within bound states.

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Dirac string

In physics, a Dirac string is a hypothetical one-dimensional curve in space, conceived of by the physicist Paul Dirac, stretching between two Dirac magnetic monopoles with opposite magnetic charges, or from one magnetic monopole out to infinity.

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Divergence theorem

In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.

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Dysprosium titanate

Dysprosium titanate (Dy2Ti2O7) is an inorganic compound, a ceramic of the titanate family, with pyrochlore structure.

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Electron magnetic moment

In atomic physics, the electron magnetic moment, or more specifically the electron magnetic dipole moment, is the magnetic moment of an electron caused by its intrinsic properties of spin and electric charge.

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Emergence

In philosophy, systems theory, science, and art, emergence occurs when "the whole is greater than the sum of the parts," meaning the whole has properties its parts do not have.

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Entropy

In statistical mechanics, entropy is an extensive property of a thermodynamic system.

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Exponential function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.

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Field (physics)

In physics, a field is a physical quantity, represented by a number or tensor, that has a value for each point in space and time.

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Fractionalization

In physics, fractionalization is the phenomenon whereby the quasiparticles of a system cannot be constructed as combinations of its elementary constituents.

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Geometrical frustration

In condensed matter physics, the term geometrical frustration (or in short: frustration) refers to a phenomenon, where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex structures.

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Ground state

The ground state of a quantum mechanical system is its lowest-energy state; the energy of the ground state is known as the zero-point energy of the system.

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Heat capacity

Heat capacity or thermal capacity is a measurable physical quantity equal to the ratio of the heat added to (or removed from) an object to the resulting temperature change.

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Holmium titanate

Holmium titanate is an inorganic compound with the chemical formula Ho2Ti2O7.

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Hydrogen

Hydrogen is a chemical element with symbol H and atomic number 1.

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Ice

Ice is water frozen into a solid state.

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Ice rules

In chemistry, ice rules are basic principles that govern arrangement of atoms in water ice.

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Intensive and extensive properties

Physical properties of materials and systems can often be categorized as being either intensive or extensive quantities, according to how the property changes when the size (or extent) of the system changes.

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Ion

An ion is an atom or molecule that has a non-zero net electrical charge (its total number of electrons is not equal to its total number of protons).

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Ising model

The Ising model, named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics.

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Lieb's square ice constant

Lieb's square ice constant is a mathematical constant used in the field of combinatorics to quantify the number of Eulerian orientations of grid graphs.

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Linus Pauling

Linus Carl Pauling (February 28, 1901 – August 19, 1994) was an American chemist, biochemist, peace activist, author, educator, and husband of American human rights activist Ava Helen Pauling.

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Magnetic moment

The magnetic moment is a quantity that represents the magnetic strength and orientation of a magnet or other object that produces a magnetic field.

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Magnetic monopole

A magnetic monopole is a hypothetical elementary particle in particle physics that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa).

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Magnetic susceptibility

In electromagnetism, the magnetic susceptibility (Latin: susceptibilis, "receptive"; denoted) is one measure of the magnetic properties of a material.

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Molecule

A molecule is an electrically neutral group of two or more atoms held together by chemical bonds.

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Neutron scattering

Neutron scattering, the irregular dispersal of free neutrons by matter, can refer to either the naturally occurring physical process itself or to the man-made experimental techniques that use the natural process for investigating materials.

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Oxygen

Oxygen is a chemical element with symbol O and atomic number 8.

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Philip Warren Anderson

Philip Warren Anderson (born December 13, 1923) is an American physicist and Nobel laureate.

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Planck constant

The Planck constant (denoted, also called Planck's constant) is a physical constant that is the quantum of action, central in quantum mechanics.

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Proton

| magnetic_moment.

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Quantum electrodynamics

In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics.

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Quantum spin liquid

In condensed matter physics, quantum spin liquid is a state that can be achieved in a system of interacting quantum spins.

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Quasiparticle

In physics, quasiparticles and collective excitations (which are closely related) are emergent phenomena that occur when a microscopically complicated system such as a solid behaves as if it contained different weakly interacting particles in free space.

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Residual entropy

Residual entropy is the difference in entropy between a non-equilibrium state and crystal state of a substance close to absolute zero.

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Science (journal)

Science, also widely referred to as Science Magazine, is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals.

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Science Daily

Science Daily is an American website that aggregates press releases and publishes lightly edited press releases (a practice called churnalism) about science, similar to Phys.org and EurekAlert!.

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Spin (physics)

In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.

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Spin glass

A spin glass is a disordered magnet, where the magnetic spins of the component atoms (the orientation of the north and south magnetic poles in three-dimensional space) are not aligned in a regular pattern. The term "glass" comes from an analogy between the magnetic disorder in a spin glass and the positional disorder of a conventional, chemical glass, e.g., a window glass. In window glass or any amorphous solid the atomic bond structure is highly irregular; in contrast, a crystal has a uniform pattern of atomic bonds. In ferromagnetic solid, magnetic spins all align in the same direction; this would be analogous to a crystal. The individual atomic bonds in a spin glass are a mixture of roughly equal numbers of ferromagnetic bonds (where neighbors have the same orientation) and antiferromagnetic bonds (where neighbors have exactly the opposite orientation: north and south poles are flipped 180 degrees). These patterns of aligned and misaligned atomic magnets create what are known as frustrated interactions - distortions in the geometry of atomic bonds compared to what would be seen in a regular, fully aligned solid. They may also create situations where more than one geometric arrangement of atoms is stable. Spin glasses and the complex internal structures that arise within them are termed "metastable" because they are "stuck" in stable configurations other than the lowest-energy configuration (which would be aligned and ferromagnetic). The mathematical complexity of these structures is difficult but fruitful to study experimentally or in simulations, with applications to artificial neural networks in computer science, in addition to physics, chemistry, and materials science.

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Spinel

Spinel is the magnesium aluminium member of the larger spinel group of minerals.

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Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

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Temperature

Temperature is a physical quantity expressing hot and cold.

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Tetrahedral molecular geometry

In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron.

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Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

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References

[1] https://en.wikipedia.org/wiki/Spin_ice

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