reciprocal-lattice concept

  • 1Reciprocal lattice — In physics, the reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial function of the original lattice (or direct lattice) is represented. This space is also known as momentum… …

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  • 2Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …

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  • 3Wigner–Seitz cell — 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. The unique property of a crystal is that its atoms are arranged in a regular 3… …

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  • 4X-ray crystallography — can locate every atom in a zeolite, an aluminosilicate with many important applications, such as water purification. X ray crystallography is a method of determining the arrangement of atoms within a crystal, in which a beam of X rays strikes a… …

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  • 5Wigner-Seitz cell — The Wigner Seitz cell (named after E. P. Wigner and Frederick Seitz) is a geometrical construction which helps in the study of crystalline material in solid state physics. The unique property of a crystal is that its atoms are arranged in a… …

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  • 6Phonon — For KDE Software Compilation 4 s multimedia framework, see Phonon (KDE). Normal modes of vibration progression through a crystal. The amplitude of the motion has been exaggerated for ease of viewing; in an actual crystal, it is typically much… …

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  • 7Brillouin zone — In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell of the reciprocal lattice in the frequency domain. It is found by the same method as for the Wigner Seitz cell in the Bravais lattice. The… …

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  • 8Bragg's law — In physics, Bragg s law is the result of experiments into the diffraction of X rays or neutrons off crystal surfaces at certain angles, derived by physicist Sir William Lawrence Bragg [ There are some sources, like the Academic American… …

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  • 9Quasicrystal — Atomic model of an aluminum palladium manganese (Al Pd Mn) quasicrystal surface. Similar to Fig. 6 in Ref.[1] A quasiperiodic crystal, or, in short, quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can… …

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  • 10Bloch wave — A Bloch wave or Bloch state, named after Felix Bloch, is the wavefunction of a particle (usually, an electron) placed in a periodic potential. It consists of the product of a plane wave envelope function and a periodic function ( periodic Bloch… …

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