Unit cell definition using parallelepiped with lengths a, b, c and angles between the sides given by α, β, γ[1]
A lattice constant or lattice parameter is one of the physical dimensions and angles that determine the geometry of the unit cells in a crystal lattice, and is proportional to the distance between atoms in the crystal. A simple cubic crystal has only one lattice constant, the distance between atoms, but in general lattices in three dimensions have six lattice constants: the lengths a, b, and c of the three cell edges meeting at a vertex, and the angles α, β, and γ between those edges.
The crystal lattice parameters a, b, and c have the dimension of length. The three numbers represent the size of the unit cell, that is, the distance from a given atom to an identical atom in the same position and orientation in a neighboring cell (except for very simple crystal structures, this will not necessarily be distance to the nearest neighbor). Their SI unit is the meter, and they are traditionally specified in angstroms (Å); an angstrom being 0.1 nanometer (nm), or 100 picometres (pm). Typical values start at a few angstroms. The angles α, β, and γ are usually specified in degrees.
^"Unit cell definition using parallelepiped with lengths a, b, c and angles between the sides given by α, β, γ". Archived from the original on 4 October 2008.
latticeconstant or lattice parameter is one of the physical dimensions and angles that determine the geometry of the unit cells in a crystal lattice...
} is the reduced Planck constant. The reciprocal lattice of a reciprocal lattice is equivalent to the original direct lattice, because the defining equations...
Bravais lattice. The lengths of the principal axes, or edges, of the unit cell and the angles between them are the latticeconstants, also called lattice parameters...
reduce lattice bases; several public implementations of these algorithms are also listed. Nguyen, Phong Q. (2009). "Hermite's Constant and Lattice Algorithms"...
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magnetic material. These low-lying collective excitations occur in magnetic lattices with continuous symmetry. From the equivalent quasiparticle point of view...
grown so that the increase in latticeconstant of one of the layers is compensated by the decrease in latticeconstant in the next compared to the substrate...
changing latticeconstant causes the ingot to be polycrystalline and limits the characterization to a few parameters, such as bandgap and latticeconstant with...
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2006, with some of them having a latticeconstant as long as 301.5 nm, about one thousand times the usual SiC lattice spacings. The polymorphs of SiC include...
Peretti in 1951, who gave its homogeneity range, structure type, and latticeconstant. Polycrystalline ingots of InSb were prepared by Heinrich Welker in...
dark yellow in color and have a zincblende crystal structure with a latticeconstant of 5.4510 Å at 300 K. They are thermodynamically stable up to 1,000 °C...
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tetrahedral interstitial sites. For example, magnesium silicide, Mg2Si, has a lattice parameter of 6.338 Å with magnesium cations occupying the tetrahedral interstitial...
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epitaxy (MOVPE) on sapphire. Other substrates used are zinc oxide, with latticeconstant mismatch of only 2% and silicon carbide (SiC). Group III nitride semiconductors...
can be considered the carbonic acid anhydride. The hydration equilibrium constant at 25 °C is [H 2CO 3]/[CO2] ≈ 1.7×10−3 in pure water and ≈ 1.2×10−3 in...
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