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 discrete set of vectors must be closed under vector addition and subtraction. The simple trigonal or rhombohedral is obtained by stretching a cube along one of its axis.

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## Set 14 Bravais Lattices

The original uploader was Angrense at Portuguese Wikipedia. The hexagonal point group is the symmetry group of a prism with a regular hexagon as base. The simple monoclinic is obtained by distorting the rectangular faces perpendicular to one of the orthorhombic axis into general parallelograms. The 14 possible symmetry groups of Bravais lattices are 14 of the space bravaiis. Introduction to Solid State Physics Seventh ed.

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Crystallography Condensed matter physics Lattice points. For example, the monoclinic I bravaiz can be described by a gravais C lattice by different choice of crystal axes. The destruction of the cube is completed by moving the parallelograms of the orthorhombic so that no axis is perpendicular to the other two.

In this sense, there are 14 possible Bravais lattices in three-dimensional space. This licensing tag was added to this file as part of the GFDL licensing update.

All following user names refer to pt. Cubic 3 lattices The cubic system brqvais those Bravias lattices whose point group is just the symmetry group of a cube. Tetragonal 2 lattices The simple tetragonal is made by pulling on two opposite faces of the simple cubic and stretching it into a rectangular prism with a square base, but a height not equal to the sides of the square.

In three-dimensional space, there are 14 Bravais lattices. By using this site, you agree to the Terms of Use and Privacy Policy. The original description page reded here. Consequently, the crystal looks the same when viewed from any equivalent lattice point, namely those separated by the translation of one unit cell.

By similarly stretching the base-centered orthorhombic one produces the base-centered monoclinic. They are the simple cubebody-centered cubicand face-centered cubic. GraphiteZnOCdS. By using this site, you agree to the Terms of Use and Privacy Policy. From Wikimedia Commons, the free media repository. For details about this file, see below.

Thus, from the point of view of symmetry, there are fourteen different kinds of Bravais lattices. The properties of the crystal families are given below:. There are fourteen distinct space groups that a Bravais lattice can have.

Similarly, all A- or B-centred lattices can be described either by a C- or P-centering. This reduces the number of combinations to 14 conventional Bravais lattices, shown in the table below. The base orthorhombic is obtained by adding a lattice point on two opposite sides of one object’s face. These are obtained by combining one of the seven lattice systems with one of the centering types.

A crystal is made up of a periodic arrangement of one or more atoms the basisor motif repeated at each lattice point. The properties of the lattice systems are given below:. And the face-centered orthorhombic is obtrained by adding one lattice point in the center of each of the object’s faces.

Crystal habit Crystal system Miller index Translation operator quantum mechanics Translational symmetry Zone axis. This page was last edited on 22 Aprilat You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. 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.

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. This page was last edited on 19 Novemberat Additionally, there may be errors in any or all of the information fields; information on this file should not be considered reliable and the file should not be used until it has been reviewed and any needed corrections have been made.

### 14 Redes de Bravais by Bryan Flores on Prezi

The simple hexagonal bravais has the hexagonal point group and is the only bravais lattice in the hexagonal system. This file was moved fe Wikimedia Commons from pt. By similarly stretching the body-centered cubic one more Bravais lattice of the tetragonal system is constructed, the centered tetragonal. The body-centered orthorhombic is obtained by adding one lattice point in the center of the object.