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Bravais lattice

Index Bravais lattice

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. [1]

48 relations: Allotropes of sulfur, Atom, Barium sulfate, Boric acid, Cadmium sulfide, Calcite, Calcium sulfate, Chirality (chemistry), Cinnabar, Copper, Copper(II) sulfate, Crystal, Crystal habit, Crystal system, Crystallography, Cubic crystal system, Diamond, Geometry, Graphite, Hexagonal crystal family, Ion, Lead(II) chromate, Miller index, Monoclinic crystal system, Norm (mathematics), Orthorhombic crystal system, Polymer, Potassium chloride, Potassium dichromate, Potassium nitrate, Schoenflies notation, Silver, Sodium chloride, Sodium sulfate, Solid, Space group, Sphalerite, Springer Science+Business Media, Tetragonal crystal system, Tin(IV) Oxide, Titanium dioxide, Translation operator (quantum mechanics), Translational symmetry, Triclinic crystal system, Triple product, White tin, Zinc oxide, Zone axis.

Allotropes of sulfur

The element sulfur exists as many allotropes.

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Atom

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

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Barium sulfate

Barium sulfate (or sulphate) is the inorganic compound with the chemical formula BaSO4.

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Boric acid

Boric acid, also called hydrogen borate, boracic acid, orthoboric acid and acidum boricum, is a weak, monobasic Lewis acid of boron, which is often used as an antiseptic, insecticide, flame retardant, neutron absorber, or precursor to other chemical compounds.

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Cadmium sulfide

Cadmium sulfide is the inorganic compound with the formula CdS.

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Calcite

Calcite is a carbonate mineral and the most stable polymorph of calcium carbonate (CaCO3).

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Calcium sulfate

Calcium sulfate (or calcium sulphate) is the inorganic compound with the formula CaSO4 and related hydrates.

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Chirality (chemistry)

Chirality is a geometric property of some molecules and ions.

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Cinnabar

Cinnabar and cinnabarite, likely deriving from the κιννάβαρι (kinnabari), refer to the common bright scarlet to brick-red form of mercury(II) sulfide (HgS) that is the most common source ore for refining elemental mercury, and is the historic source for the brilliant red or scarlet pigment termed vermilion and associated red mercury pigments.

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Copper

Copper is a chemical element with symbol Cu (from cuprum) and atomic number 29.

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Copper(II) sulfate

Copper(II) sulfate, also known as cupric sulfate, or copper sulphate, is the inorganic compound with the chemical formula CuSO4(H2O)x, where x can range from 0 to 5.

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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 habit

In mineralogy, crystal habit is the characteristic external shape of an individual crystal or crystal group.

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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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Crystallography

Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids (see crystal structure).

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Cubic crystal system

In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube.

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Diamond

Diamond is a solid form of carbon with a diamond cubic crystal structure.

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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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Graphite

Graphite, archaically referred to as plumbago, is a crystalline allotrope of carbon, a semimetal, a native element mineral, and a form of coal.

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Hexagonal crystal family

In crystallography, the hexagonal crystal family is one of the 6 crystal families, which includes 2 crystal systems (hexagonal and trigonal) and 2 lattice systems (hexagonal and rhombohedral).

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Ion

An ion is an atom or molecule that has a non-zero net electrical charge (its total number of electrons is not equal to its total number of protons).

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Lead(II) chromate

Lead(II) chromate (PbCrO4) is a chemical compound, a chromate of lead.

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Miller index

Miller indices form a notation system in crystallography for planes in crystal (Bravais) lattices.

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Monoclinic crystal system

In crystallography, the monoclinic crystal system is one of the 7 crystal systems.

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Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

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Orthorhombic crystal system

In crystallography, the orthorhombic crystal system is one of the 7 crystal systems.

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Polymer

A polymer (Greek poly-, "many" + -mer, "part") is a large molecule, or macromolecule, composed of many repeated subunits.

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Potassium chloride

Potassium chloride (KCl) is a metal halide salt composed of potassium and chlorine.

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Potassium dichromate

Potassium dichromate, K2Cr2O7, is a common inorganic chemical reagent, most commonly used as an oxidizing agent in various laboratory and industrial applications. As with all hexavalent chromium compounds, it is acutely and chronically harmful to health. It is a crystalline ionic solid with a very bright, red-orange color. The salt is popular in the laboratory because it is not deliquescent, in contrast to the more industrially relevant salt sodium dichromate.Gerd Anger, Jost Halstenberg, Klaus Hochgeschwender, Christoph Scherhag, Ulrich Korallus, Herbert Knopf, Peter Schmidt, Manfred Ohlinger, "Chromium Compounds" in Ullmann's Encyclopedia of Industrial Chemistry, Wiley-VCH, Weinheim, 2005.

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Potassium nitrate

Potassium nitrate is a chemical compound with the chemical formula KNO3.

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Schoenflies notation

The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions commonly used to describe point groups.

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Silver

Silver is a chemical element with symbol Ag (from the Latin argentum, derived from the Proto-Indo-European ''h₂erǵ'': "shiny" or "white") and atomic number 47.

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Sodium chloride

Sodium chloride, also known as salt, is an ionic compound with the chemical formula NaCl, representing a 1:1 ratio of sodium and chloride ions.

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Sodium sulfate

Sodium sulfate, also known as sulfate of soda, is the inorganic compound with formula Na2SO4 as well as several related hydrates.

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Solid

Solid is one of the four fundamental states of matter (the others being liquid, gas, and plasma).

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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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Sphalerite

Sphalerite ((Zn, Fe)S) is a mineral that is the chief ore of zinc.

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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.

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Tetragonal crystal system

In crystallography, the tetragonal crystal system is one of the 7 crystal systems.

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Tin(IV) Oxide

Tin(IV) Oxide, also known as stannic oxide, is the inorganic compound with the formula SnO2.

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Titanium dioxide

Titanium dioxide, also known as titanium(IV) oxide or titania, is the naturally occurring oxide of titanium, chemical formula.

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Translation operator (quantum mechanics)

In quantum mechanics, a translation operator is defined as an operator which shifts particles and fields by a certain amount in a certain direction.

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Translational symmetry

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

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Triclinic crystal system

Triclinic (a ≠ b ≠ c and α ≠ β ≠ γ) In crystallography, the triclinic (or anorthic) crystal system is one of the 7 crystal systems.

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Triple product

In vector algebra, a branch of mathematics, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors.

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White tin

White tin is refined, metallic tin.

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Zinc oxide

Zinc oxide is an inorganic compound with the formula ZnO.

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Zone axis

Zone axis, a term sometimes used to refer to "high-symmetry" orientations in a crystal, most generally refers to any direction referenced to the direct lattice (as distinct from the reciprocal lattice) of a crystal in three dimensions.

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Redirects here:

Bravais Lattices, Bravais lattices, Crystal lattice.

References

[1] https://en.wikipedia.org/wiki/Bravais_lattice

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