16 relations: Bloch wave, Bragg plane, Bravais lattice, Computational Materials Science, Crystal system, Fundamental domain, Fundamental pair of periods, Léon Brillouin, Locus (mathematics), Mathematics, Point group, Primitive cell, Reciprocal lattice, Solid-state physics, Voronoi diagram, Wigner–Seitz cell.
A Bloch wave (also called Bloch state or Bloch function or Bloch wave function), named after Swiss physicist Felix Bloch, is a type of wavefunction for a particle in a periodically-repeating environment, most commonly an electron in a crystal.
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In physics, a Bragg plane is a plane in reciprocal space which bisects one reciprocal lattice vector \mathbf.
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In geometry and crystallography, a Bravais lattice, studied by, is an infinite array of discrete points generated by a set of discrete translation operations described by: where ni are any integers and ai are known as the primitive vectors which lie in different directions and span the lattice.
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Computational Materials Science is a monthly peer-reviewed scientific journal published by Elsevier.
In crystallography, the terms crystal system, crystal family, and lattice system each refer to one of several classes of space groups, lattices, point groups, or crystals.
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Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action.
In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that define a lattice in the complex plane.
Léon Nicolas Brillouin (August 7, 1889 – October 4, 1969) was a French physicist.
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In geometry, a locus (plural: loci) is a set of points whose location satisfies or is determined by one or more specified conditions.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change.
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In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed.
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A primitive cell is a unit cell constructed so that it contains only one lattice point (each vertex of the cell sits on a lattice point which is shared with the surrounding cells, each lattice point is said to contribute 1/n to the total number of lattice points in the cell where n is the number of cells sharing the lattice point).
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In physics, the reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial wavefunction of the original lattice (or direct lattice) is represented.
Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy.
In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.
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The Wigner–Seitz cell, named after Eugene Wigner and Frederick Seitz, is a type of Voronoi cell used in the study of crystalline material in solid-state physics.
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