26 relations: Aragonite, Bertrandite, Centrosymmetry, Chirality (chemistry), Coxeter notation, Crystal structure, Crystal system, Crystallographic point group, Crystallography, Cubic crystal system, Epsomite, Hemimorphite, Hermann–Mauguin notation, Lattice (group), Marcasite, Olivine, Orbifold notation, Orthogonality, Pearson symbol, Polar point group, Prism (geometry), Radix, Rhombus, Schoenflies notation, Space group, Springer Science+Business Media.
Aragonite is a carbonate mineral, one of the two most common, naturally occurring, crystal forms of calcium carbonate, CaCO3 (the other forms being the minerals calcite and vaterite).
Bertrandite is a beryllium sorosilicate hydroxide mineral with composition: Be4Si2O7(OH)2.
In crystallography, a point group which contains an inversion center as one of its symmetry elements is centrosymmetric.
Chirality is a geometric property of some molecules and ions.
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions or molecules in a crystalline material.
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.
In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of features of the same kind.
Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids (see crystal structure).
In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube.
Epsomite is a hydrous magnesium sulfate mineral with formula MgSO4·7H2O.
Hemimorphite, is Zn4(Si2O7)(OH)2·H2O, a component of calamine.
In geometry, Hermann–Mauguin notation is used to represent the symmetry elements in point groups, plane groups and space groups.
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.
The mineral marcasite, sometimes called white iron pyrite, is iron sulfide (FeS2) with orthorhombic crystal structure.
The mineral olivine is a magnesium iron silicate with the formula (Mg2+, Fe2+)2SiO4.
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
The Pearson symbol, or Pearson notation, is used in crystallography as a means of describing a crystal structure, and was originated by W.B. Pearson.
In geometry, a polar point group is a point group in which there is more than one point that every symmetry operation leaves unmoved.
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
The Schoenflies (or Schönflies) notation, named after the German mathematician Arthur Moritz Schoenflies, is one of two conventions commonly used to describe point groups.
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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