Definitions for bravais lattice
bra·vais lat·tice

Princeton's WordNetRate this definition:0.0 / 0 votes

1. space lattice, crystal lattice, Bravais latticenoun

   a 3-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal

WikipediaRate this definition:0.0 / 0 votes

1. Bravais lattice

   In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by R = n 1 a 1 + n 2 a 2 + n 3 a 3 , {\displaystyle \mathbf {R} =n_{1}\mathbf {a} _{1}+n_{2}\mathbf {a} _{2}+n_{3}\mathbf {a} _{3},} where the ni are any integers, and ai are primitive translation vectors, or primitive vectors, which lie in different directions (not necessarily mutually perpendicular) and span the lattice. The choice of primitive vectors for a given Bravais lattice is not unique. A fundamental aspect of any Bravais lattice is that, for any choice of direction, the lattice appears exactly the same from each of the discrete lattice points when looking in that chosen direction. The Bravais lattice concept is used to formally define a crystalline arrangement and its (finite) frontiers. A crystal is made up of one or more atoms, called the basis or motif, at each lattice point. The basis may consist of atoms, molecules, or polymer strings of solid matter, and the lattice provides the locations of the basis. Two Bravais lattices are often considered equivalent if they have isomorphic symmetry groups. In this sense, there are 5 possible Bravais lattices in 2-dimensional space and 14 possible Bravais lattices in 3-dimensional space. The 14 possible symmetry groups of Bravais lattices are 14 of the 230 space groups. In the context of the space group classification, the Bravais lattices are also called Bravais classes, Bravais arithmetic classes, or Bravais flocks.

ChatGPTRate this definition:0.0 / 0 votes

1. bravais lattice

   A Bravais lattice is a geometric arrangement of points in space such that each point has an identical local environment. In other words, a Bravais lattice is an infinite array of discrete points in three dimensional space with definite arrangement such that any one point has the same surroundings as any other point, when viewed from any given direction. It is named after the French physicist, Auguste Bravais. It is used to describe the symmetry of crystal structures.

WikidataRate this definition:0.0 / 0 votes

1. Bravais lattice

   In geometry and crystallography, a Bravais lattice, studied by Auguste Bravais, 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. This discrete set of vectors must be closed under vector addition and subtraction. For any choice of position vector R, the lattice looks exactly the same. A crystal is made up of a periodic arrangement of one or more atoms repeated at each lattice point. Consequently, the crystal looks the same when viewed from any of the lattice points. Two Bravais lattices are often considered equivalent if they have isomorphic symmetry groups. In this sense, there are 14 possible Bravais lattices in three-dimensional space. The 14 possible symmetry groups of Bravais lattices are 14 of the 230 space groups.

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1. • Lattice

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Numerology

1. Chaldean Numerology

   The numerical value of bravais lattice in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of bravais lattice in Pythagorean Numerology is: 7

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=bravais lattice
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Bravais_Lattice
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=bravais lattice