Las 14 Redes de Bravais. La mayoría de los sólidos tienen una estructura periódica de átomos, que forman lo que llamamos una red cristalina. Los sólidos y. In geometry and crystallography, a Bravais lattice, named after Auguste Bravais ( ), is an 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. Celdas unitarias, redes de Bravais, Parámetros de red, índices de Miller. abc√ 1-cos²α-cos²β-cos²γ+2cosα (todos diferentes) cosβ cos γ;

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This reduces the number of combinations to 14 conventional Bravais lattices, shown in the table below. Tetragonal 2 lattices The simple tetragonal is made by pulling on two opposite faces of the simple cubic and stretching it into a rectangular xe with a square base, but a height not equal to the sides of the square.

Files moved from pt. Consequently, the crystal looks the same when viewed from any equivalent lattice point, namely those separated by the translation of one unit cell. Auguste Bravais was the first to count the categories correctly. Introduction to Solid State Physics Seventh ed.

Crystallography Condensed matter physics Lattice points.

Views View Edit History. The simple orthorhombic is made by deforming the square bases of the tetragonal into rectangles, producing an object with mutually perpendicular sides of three unequal lengths. These are obtained by combining one of the seven lattice systems with one of the centering types.


This licensing tag brravais added to this file as part of the GFDL licensing update. Views Read Edit View history.

Bravais lattice

There are fourteen distinct space groups that a Bravais rddes can have. Of these, 23 are primitive and 41 are centered. The destruction of the cube is completed by moving the parallelograms of the orthorhombic so that no axis is perpendicular to the other two. Retrieved from ” https: A crystal is made up of a periodic arrangement 41 one or more atoms the basisor motif repeated at each lattice point.

Bravais lattices

By using this site, you agree to the Terms of Use and Privacy Policy. International Tables for Crystallography. The original description page was here. Three Bravais lattices with nonequivalent space groups all have the cubic point group. This page was last edited on 22 Aprilat This discrete set of vectors must be closed under vector addition and subtraction.

Thus, from the point of view of symmetry, there are fourteen different kinds of Bravais lattices.

In this sense, there are 14 possible Bravais lattices in three-dimensional space. Description Redes de Bravais. From Wikipedia, the free encyclopedia.

For any choice of position vector Rthe lattice brqvais exactly the same. By similarly stretching the base-centered orthorhombic one produces the base-centered monoclinic. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. The properties of the lattice systems are given below:.


The base orthorhombic is obtained by adding a lattice point on two opposite sides of one object’s face. When the discrete points are atomsionsor polymer strings of solid matterthe Bravais lattice concept is used to formally define a crystalline arrangement and its finite frontiers. GraphiteZnOCdS. And the face-centered orthorhombic is obtrained by adding one lattice point in the center of each of the object’s faces.

All following user names refer to pt. By similarly stretching the body-centered cubic one more Bravais lattice of the tetragonal nravais is constructed, the centered tetragonal. The centering types identify the locations of the lattice points in the unit cell as follows:.

Ten Bravais lattices split into re pairs. The hexagonal bravaix group is the symmetry group of a prism with a regular hexagon as base. All source information is still present. In four dimensions, there are 64 Bravais lattices. This file was moved to Wikimedia Commons from pt.

The simple triclinic 144 has no restrictions except that pairs of opposite faces are parallel. For example, the monoclinic I lattice can be described by a monoclinic C lattice by different choice of crystal axes. Two Bravais lattices are often considered equivalent if they have isomorphic symmetry groups.