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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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 centering types identify the locations of the lattice points in the unit cell as follows:.

A crystal is made up of a periodic arrangement of one or more atoms the basisor motif repeated at each lattice point. Retrieved from ” https: In this sense, there are 14 possible Bravais lattices in three-dimensional space. Crystallography Condensed matter physics Bravias points. 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 dd until it has been reviewed and any needed corrections have been braais.

The simple hexagonal bravais has the hexagonal point group and is the only bravais lattice in the hexagonal system. Consequently, the crystal looks the same when viewed from any equivalent lattice point, namely those separated by the translation of one unit cell.


All following user names refer to pt. Not all combinations of lattice systems and centering types are needed to describe all of the possible lattices, as it can be shown that several of these are in fact equivalent to each other.

Introduction to Solid State Physics Seventh ed. In two-dimensional space, there are 5 Bravais lattices, [2] grouped into four crystal families.

The fourteen Bravais lattices

The body-centered orthorhombic is obtained by adding one lattice point in the center of the object. Thus, from the point of view of symmetry, there are fourteen different kinds of Bravais lattices. By similarly stretching the base-centered orthorhombic one produces the base-centered monoclinic. For details about this file, see below. They are the simple cubebody-centered cubicand face-centered cubic.

Bravais lattice

The destruction of the bragais is completed by moving the parallelograms of the orthorhombic so that no axis is perpendicular to the other two. Archived from the original on The simple triclinic produced has no restrictions except that pairs of opposite faces are parallel. In four dimensions, there are 64 Bravais lattices.

Of these, 23 are primitive and 41 are centered. Retrieved from ” https: In three-dimensional space, there are 14 Bravais lattices. Files moved rees pt. The 14 possible symmetry groups of Bravais lattices are 14 of the space groups. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Similarly, all A- or B-centred lattices can be described either by a C- or P-centering.


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And the face-centered orthorhombic is obtrained by adding one lattice point in the center of each of the object’s faces. There are fourteen distinct space groups that a Bravais lattice can have.

Description Redes de Bravais. I list below the seven crystal systems and the Bravais lattices belonging to each. The bravaus trigonal or rhombohedral is obtained by stretching a cube along one of its axis. Views Read Edit View history.

Bravais lattices

The original description page was here. Once the review has been completed, this template should be removed. This file barvais moved to Wikimedia Commons from pt. By using this site, you agree to the Terms of Use and Privacy Policy. 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.

Crystal habit Crystal system Miller index Translation operator quantum mechanics Translational 144 Zone axis. In other projects Wikimedia Commons.

From Wikipedia, the free encyclopedia. The original uploader was Angrense ee Portuguese Wikipedia. The properties of the lattice systems are given below:. From Wikimedia Commons, the free media repository.