Bravais lattice


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Bravais lattice

(ˈbræveɪ; brəˈveɪ)
n
(General Physics) crystallog any of 14 possible space lattices found in crystals
[named after Auguste Bravais, 19th-century French physicist]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Noun1.Bravais lattice - a 3-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal
crystal lattice, space lattice
lattice - an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
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where a and [beta] refer to the A or B subsites inside the Bravais lattice unit cells (Figure 1) in each plane of the system, i and j denote the position of the Bravais unit cell in the lattice, p and q describe planes indexes, [N.sub.c] shows the number of the Bravais lattice unit cell, [N.sub.p] implies the number of the layers, [t.sup.[alpha][beta].sub.ipjq] Presents the amplitude for a [pi] electron to hop from the subsite a of the Bravais lattice site i in plane p to the subsite [beta] of the nearest-neighbor (NN) site j in plane q, and [c.sup.[alpha][dagger].sub.ip] ([c.sup.[beta].sub.jq]) displays the creation (annihilation) operator of an electron on subsite [alpha] ([beta]) of the Bravais lattice site i (j) in plane p (q).
Flake electrical conductivity of few-layer graphene
This simplification means that the lattice is a primitive 4-dimensional orthorhombic Bravais lattice. The position vector of an arbitrary lattice site is written as
Fractional quantum field theory: from lattice to continuum
They opened their classic paper by stating that "Any lattice in which the hydrogen atoms would be translationally identical (Bravais lattice) would have metallic properties" [19].
Liquid metallic hydrogen: a building block for the liquid Sun
From the nature of the reduced form, one can determine the reduced form number, Bravais lattice, and the transformation matrix to a standard conventional cell (or simply conventional cell).
Conventional cells--the last step toward general acceptance of standard conventional cells for the reporting of crystallographic data
Determination of the Bravais Lattice and Conventional Cell
Lattice symmetry and identification - the fundamental role of reduced cells in materials characterization

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