Bravais lattice and Lattice (group)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Bravais lattice and Lattice (group)

Bravais lattice vs. Lattice (group)

In geometry and crystallography, a Bravais lattice, named after, is an infinite array of discrete points in three dimensional space 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. In geometry and group theory, a lattice in \mathbbR^n is a subgroup of the additive group \mathbb^n which is isomorphic to the additive group \mathbbZ^n, and which spans the real vector space \mathbb^n.

Similarities between Bravais lattice and Lattice (group)

Bravais lattice and Lattice (group) have 7 things in common (in Unionpedia): Atom, Crystal, Crystal system, Geometry, Space group, Springer Science+Business Media, Translational symmetry.

Atom

An atom is the smallest constituent unit of ordinary matter that has the properties of a chemical element.

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Crystal

A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.

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Crystal system

In crystallography, the terms crystal system, crystal family and lattice system each refer to one of several classes of space groups, lattices, point groups or crystals.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Space group

In mathematics, physics and chemistry, a space group is the symmetry group of a configuration in space, usually in three dimensions.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Bravais lattice and Springer Science+Business Media · Lattice (group) and Springer Science+Business Media · See more »

Translational symmetry

In geometry, a translation "slides" a thing by a: Ta(p).

Bravais lattice and Translational symmetry · Lattice (group) and Translational symmetry · See more »

The list above answers the following questions

What Bravais lattice and Lattice (group) have in common
What are the similarities between Bravais lattice and Lattice (group)

Bravais lattice and Lattice (group) Comparison

Bravais lattice has 48 relations, while Lattice (group) has 95. As they have in common 7, the Jaccard index is 4.90% = 7 / (48 + 95).

References

This article shows the relationship between Bravais lattice and Lattice (group). To access each article from which the information was extracted, please visit:

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