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Symmetry group of a configuration in space
chemistry, a space group is the symmetry group of a repeating pattern in space, usually in three dimensions. The elements of a space group (its symmetry
Space_group
There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short
List_of_space_groups
Concept in physics
physics, the magnetic space groups, or Shubnikov groups, are the symmetry groups which classify the symmetries of a crystal both in space, and in a two-valued
Magnetic_space_group
Group of NASA engineers working on the human spaceflight program starting in 1958
The Space Task Group was a working group of NASA engineers created in 1958, tasked with managing America's human spaceflight programs. Headed by Robert
Space_Task_Group
Military unit
The Space Operations Group (宇宙作戦群, Uchū Sakusengun) is a unit of the Japan Air and Space Self-Defense Force (JASDF) based at Fuchu Air Base in Fuchu, Tokyo
Space_Operations_Group
Index of articles associated with the same name
may refer to either of the following space groups in three dimensions: P6, space group number 168 P6, space group number 174 This set index article includes
P6_(space_group)
Index of articles associated with the same name
P1 may refer to either of the following space groups in three dimensions: P1, space group no. 1 P1, space group no. 2 This set index article includes a
P1_(space_group)
Index of articles associated with the same name
either of the following space groups in three dimensions: R3, three-dimensional space group number 146 R3, three-dimensional space group number 148 This set
R3_(space_group)
Index of articles associated with the same name
either of the following space groups in three dimensions: P3, three-dimensional space group number 143 P3, three-dimensional space group number 147 This set
P3_(space_group)
Index of articles associated with the same name
may refer to either of the following space groups in three dimensions: I4, space group number 79 I4, space group number 82 This set index article includes
I4_(space_group)
United States Space Force installation command
(21 LRS) 21st Security Forces Squadron (21 SFS) 21st Medical Group (21 MDG), Peterson Space Force Base 21st Dental Squadron (21 DS) 21st Healthcare Operations
Space_Base_Delta_1
Index of articles associated with the same name
may refer to either of the following space groups in three dimensions: P4, space group number 75 P4, space group number 81 This set index article includes
P4_(space_group)
Classification of a two-dimensional repetitive pattern
between the simpler frieze groups and the three-dimensional space groups. A proof that there are only 17 distinct groups of such planar symmetries was
Wallpaper_group
Isometry group of Euclidean space
group is the group of (Euclidean) isometries of a Euclidean space E n {\displaystyle \mathbb {E} ^{n}} ; that is, the transformations of that space that
Euclidean_group
U.S. Space Force space domain awareness delta
Operations Group was reactivated under Air Force Space Command's 21st Space Wing in 1992 and provided missile warning, space surveillance, and space control
Mission_Delta_2
U.S. Space Force electromagnetic warfare unit
headquartered at Peterson Space Force Base. Activated on 24 July 2020, it replaced the former 21st Space Wing's 721st Operations Group upon establishment. The
Mission_Delta_3
Concept in topology
topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable
Polish_space
Classification of crystalline materials by their three-dimensional structural geometry
discrete points). Space groups (symmetry groups of a configuration in space) are classified into crystal systems according to their point groups, and into lattice
Crystal_system
Crystallographic system where the unit cell is in the shape of a cube
for crystallography space group number, and space groups are listed in the table below. There are a total 36 cubic space groups. Other terms for hexoctahedral
Cubic_crystal_system
Classification system for crystals
groups. In the classification of crystals, to each space group is associated a crystallographic point group by "forgetting" the translational components of
Crystallographic_point_group
Geometry and crystallography point array
space. The 14 possible symmetry groups of Bravais lattices are 14 of the 230 space groups. In the context of the space group classification, the Bravais lattices
Bravais_lattice
US Air Force unit
Group. In early 1970s, the group conducted ground and flight tests of the LGM-30 Minuteman weapon system. It also launched and tested missile, space and
595th Command and Control Group
595th_Command_and_Control_Group
subject of geometric group theory, the Culler–Vogtmann Outer space or just Outer space of a free group Fn is a topological space consisting of the so-called
Outer_space_(mathematics)
Military unit
233d Space Group (233SG) is a unit of the Colorado Air National Guard located at Greeley Air National Guard Station, Greeley, CO. The 233d Space Group provides
233rd_Space_Group
Group of transformations under which the object is invariant
invariant, endowed with the group operation of composition. Such a transformation is an invertible mapping of the ambient space which takes the object to
Symmetry_group
Type of three-dimensional crystal structural geometry
Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold notation, type, and space groups are listed in the table
Orthorhombic_crystal_system
Union of crystal groups with related structures and lattices
hexagonal crystal family consists of the 12 point groups such that at least one of their space groups has the hexagonal lattice as underlying lattice,
Hexagonal_crystal_family
U.S. Air Force reserve component
with the stand up of the 310th Space Group on 4 September 1997. The 310th Space Group was re-designated the 310th Space Wing on 7 March 2008. The wing
310th_Space_Wing
Ordered arrangement of atoms, ions, or molecules in a crystalline material
repeat along the principal directions of three-dimensional space in matter. The smallest group of particles in a material that constitutes this repeating
Crystal_structure
U.S. Space Force base in Arapahoe County, Colorado, United States
Buckley Space Force Base (IATA: BFK, ICAO: KBKF, FAA LID: BKF) is a United States Space Force base in Aurora, Colorado named after United States Army
Buckley_Space_Force_Base
Periodic set of points
geometry and group theory, a lattice in the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} is an infinite set of points in this space with these
Lattice_(group)
Frequencies allocated to a broadcasting service but not used locally
In telecommunications, white spaces refer to radio frequencies allocated to a broadcasting service but not used locally. National and international bodies
White_spaces_(radio)
One of the 7 crystal systems in crystallography
organizes the space groups of the monoclinic crystal system by crystal class. It lists the International Tables for Crystallography space group numbers, followed
Monoclinic_crystal_system
Notation to represent symmetry in point groups, plane groups and space groups
notation is used to represent the symmetry elements in point groups, plane groups and space groups. It is named after the German crystallographer Carl Hermann
Hermann–Mauguin_notation
Group of geometric symmetries with at least one fixed point
In geometry, a point group is a mathematical group of symmetry operations (isometries in a Euclidean space) that have a fixed point in common. The coordinate
Point_group
Mineral supergroup
three-fold rotoinversion (point group D3d). Under this space group the two A positions are equivalent. If the space group is F43m then the three-fold rotoinversions
Spinel_group
Type of crystal structure
used in mathematics. Diamond's cubic structure is in the Fd3m space group (space group 227), which follows the face-centered cubic Bravais lattice. The
Diamond_cubic
Framework of distances and directions
Space is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three linear dimensions
Space
Notation to represent symmetry in point groups
point groups are not enough to describe the full symmetry of crystals, so the full space group is usually used instead. The naming of full space groups usually
Schoenflies_notation
Inactive United States Air Force wing
the United States Air Force. The 460th Space Wing was activated on 1 October 2001, replacing the 821st Space Group. It was inactivated on 24 July 2020 and
460th_Space_Wing
Mineral of magnesium iron silicate
the star Beta Pictoris. Minerals in the olivine group crystallize in the orthorhombic system (space group Pbnm) with isolated silicate tetrahedra, meaning
Olivine
Norwegian architecture office
Space Group is an architecture office established in 1999 in Oslo, Norway and created by Gary Bates and Gro Bonesmo. Prior to founding Space Group, they
Space_Group_Company
Military unit
The Space and Missiles Analysis Group is a unit of the National Air and Space Intelligence Center that develops space and counterspace threat assessments
Space and Missiles Analysis Group
Space_and_Missiles_Analysis_Group
One of the seven crystal systems
Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table
Triclinic_crystal_system
Blue tectosilicate mineral
studied by Linus Pauling in 1930. It is a cubic mineral of space group P43n (space group 218) which consists of an aluminosilicate cage network with
Sodalite
Space industry
Scottish space industry organisations, such as the Scottish Space Academic Forum and the Scottish Government Space Group. The Scottish Space Group was established
Space_industry_of_Scotland
Inactive United States Air Force wing
Garrison, with the 21st Operations Group being redesignated as Space Delta 2, the 73 Space Group was redesignated as Space Delta 3, and its ground–based missile
21st_Space_Wing
Mineral made of silicon and oxygen
space groups depending on the chirality. Above the transition temperature, α-quartz in P3121 (space group 152) becomes β-quartz in P6422 (space group
Quartz
Manifold with inversion symmetry
Riemannian symmetric space from real manifolds to complex manifolds. Every Hermitian symmetric space is a homogeneous space for its isometry group and has a unique
Hermitian_symmetric_space
Sulfide mineral
It is a soft, metallic grey crystalline solid with an orthorhombic space group. It is the most important source for the metalloid antimony. The name
Stibnite
Group of all affine transformations of an affine space
mathematics, the affine group or general affine group of any affine space is the group of all invertible affine transformations from the space into itself. In
Affine_group
Human spaceflight selection
The 2022 European Space Agency Astronaut Group is the latest class of the European Astronaut Corps. The selection recruited five career astronauts, as
2022 European Space Agency Astronaut Group
2022_European_Space_Agency_Astronaut_Group
U.S. Space Force education, training, doctrine and test field command
activation as the Space Force's third field command on 23 August 2021. Space Warfare Center groups and squadrons 595th Space Group 3rd Space Experimentation
Space Training and Readiness Command
Space_Training_and_Readiness_Command
Chemical compound
temperatures below −50 °C. The most common structure of WO3 is monoclinic with space group P21/n. The pure compound is an electric insulator, but oxygen-deficient
Tungsten_trioxide
Mathematical group of the homotopy classes of loops in a topological space
the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It records information
Fundamental_group
Indian conglomerate
In February 2021, The Martin Group, in collaboration with the Dr. A.P.J. Abdul Kalam International Foundation and Space Zone India Private Limited, organized
Martin_Group_(company)
Set on which a group acts freely and transitively
In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point
Principal_homogeneous_space
This is a list of color spaces, grouped by the color model that is used for part of their specification. Color models can be based on physics or human
List of color spaces and their uses
List_of_color_spaces_and_their_uses
Means of describing a crystal structure
uniquely identify the space group of a crystal structure. For example, both the NaCl structure (space group Fm3m) and diamond (space group Fd3m) have the same
Pearson_symbol
Pyroxene: magnesium-iron silicate with MgSiO3 and FeSiO3 end-members
(also orthorhombic, space group Pbcn) while the low temperature forms, clinoenstatite and clinoferrosilite, are monoclinic (space group P21/c). Weathered
Enstatite
Function spaces generalizing finite-dimensional p norm spaces
sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according to the Bourbaki group (Bourbaki 1987) they
Lp_space
Spatial tiling of convex uniform polyhedra
Coxeter groups for 3-space are: The C ~ 2 {\displaystyle {\tilde {C}}_{2}} × I ~ 1 {\displaystyle {\tilde {I}}_{1}} , [4,4,2,∞] prismatic group, (2 new
Convex_uniform_honeycomb
Open access website
International Tables of Crystallography, Vol. A: Space-Group Symmetry, and the data of maximal subgroups of space groups as listed in International Tables of Crystallography
Bilbao Crystallographic Server
Bilbao_Crystallographic_Server
Smallest cardinality of a generating set for a group
notion of dimension of a vector space. Indeed, for p-groups, the rank of the group P is the dimension of the vector space P/Φ(P), where Φ(P) is the Frattini
Rank_of_a_group
Fe(II) phosphate mineral
perfect cleavage between them. The crystals are monoclinic, class 2/m, space group C 2/m, with two formula units per unit cell (Z = 2). The approximate
Vivianite
Species of mineral belonging to the garnet group
upper mantle and transition zone. Almandine crystallizes in the cubic space group Ia3d, with unit-cell parameter a ≈ 11.512 Å at 100 K. Almandine is antiferromagnetic
Almandine
Topological space in group theory
Homogeneous spaces occur in the theories of Lie groups, algebraic groups and topological groups. More precisely, a homogeneous space for a group G is a non-empty
Homogeneous_space
Tools for studying groups based on techniques from algebraic topology
themselves. Group cohomology plays a role in the investigation of fixed points of a group action in a module or space and the quotient module or space with respect
Group_cohomology
Inactive United States Air Force wing
forming Space Delta 8, and the 750th Operations Group and its orbital warfare units forming Space Delta 9. The 50th Space Wing was the United States Space Force's
50th_Space_Wing
Member of the clinopyroxene group of silicate minerals
with prismatic, typically twinned forms, though usually anhedral. Its space group can be P2/n or C2/c depending on the thermal history. It exhibits the
Omphacite
Branch of mathematics that studies the properties of groups
vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory
Group_theory
Chemical compound
structure with the space group P21/c (space group 14). The nonahydrate has a hexagonal crystal structure with the space group P63/m (space group 176). Hydrates
Cerium(III)_sulfate
U.S. Space Force command
wings, and groups 9th Space Division Space Communications Division 1st Space Wing 2d Space Wing 3d Space Support Wing 73d Space Group When Space Command
United States Space Force Combat Forces Command
United_States_Space_Force_Combat_Forces_Command
United States Space Force unit
Space Force Base, Colorado. Prior to October 2024 it was part of Space Delta 6. Prior to July 2020 it was part of the 50th Network Operations Group,
22nd Space Operations Squadron
22nd_Space_Operations_Squadron
Scientific study of crystal structures
of the books are: Vol A - Space Group Symmetry, Vol A1 - Symmetry Relations Between Space Groups, Vol B - Reciprocal Space, Vol C - Mathematical, Physical
Crystallography
U.S. Space Force missile warning and tracking unit
Operations Group, 460th Space Wing and 21st Operations Group, 21st Space Wing. In lineage terms, the delta was originally established as 460 Operations Group (460
Mission_Delta_4
Void between celestial bodies
Outer space, or simply space, is the expanse that exists beyond Earth's atmosphere and between celestial bodies. It contains ultra-low levels of particle
Outer_space
Group obtained by aggregating similar elements of a larger group
A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that
Quotient_group
Algebraic construct classifying topological spaces
homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, denoted
Homotopy_group
European aircraft manufacturer
commercial aircraft, it also operates separate divisions for Defence and Space and Helicopters. Airbus has long been the world's leading helicopter manufacturer
Airbus
Designation of positions within a crystallographic space group
symmetry groups (see below) are all conjugate subgroups of one another. Crystallography tables give the Wyckoff positions for different space groups. Atoms
Wyckoff_positions
Reading group in Korea
Space & Time Group (ST) was an art and reading group in Korea from 1969 to 1980. The group was led by Lee Kun-yong who focused on studying and applying
Space_&_Time_Group
Fundamental space of geometry
Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional
Euclidean_space
Mathematical description of spacetime used in relativity
Euclidean space insofar as it treats time differently from the three spatial dimensions. In 3-dimensional Euclidean space, the isometry group (maps preserving
Minkowski_spacetime
American space and aeronautics agency
Aeronautics and Space Administration (NASA /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
Type of continuous map in topology
covering spaces also exhibit a Galois correspondence with the subgroups of the fundamental group. Let X {\displaystyle X} be a topological space. A covering
Covering_space
Transformations induced by a mathematical group
of the group. In the case of a finite-dimensional vector space, it allows one to identify many groups with subgroups of the general linear group GL (
Group_action
Type of symmetry
provide complementary information. The following space groups have inversion symmetry: the triclinic space group 2, the monoclinic 10–15, the orthorhombic 47–74
Centrosymmetry
Billionaire space rivalry
industrial base in space, and his Amazon Leo subsidiary of Amazon seeking to provide satellite-based internet Richard Branson's Virgin Group (through Virgin
Billionaire_space_race
Space which has no holes through it
fundamental group of a topological space is an indicator of the failure for the space to be simply connected: a path-connected topological space is simply
Simply_connected_space
Military unit
The United States Air Force's 750th Space Group was a space operations unit located at Onizuka Air Force Station, California. its predecessor was formed
750th_Space_Group
homeomorphism group of a topological space is the group consisting of all homeomorphisms from the space to itself with function composition as the group operation
Homeomorphism_group
Group of non-expanding clay minerals
tetrahedron (T) – alumina octahedron (O) – silica tetrahedron (T) layers. The space between this T-O-T sequence of layers is occupied by poorly hydrated potassium
Illite
Discrete group type in group theory
group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space.
Reflection_group
Quasiregular space-filling tesselation
alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of alternating regular octahedra
Tetrahedral-octahedral honeycomb
Tetrahedral-octahedral_honeycomb
Mathematical group
mathematics, the symplectic group is the group of linear transformations that preserve the geometric structure of phase space, the space of position and momentum
Symplectic_group
Video game series
released on January 27, 2023. A prequel to the first Dead Space, Dead Space: Extraction follows a group of colonists from the Aegis VII colony who are beset
Dead_Space
Smooth manifold with an inner product on each tangent space
Riemann space) is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature are defined. Euclidean space, the
Riemannian_manifold
Alloy of iron and nickel found in meteorites
threefold axes, and six twofold axes and nine mirror planes. Kamacite has a space group of Fm3m. Kamacite is made up of a repeating unit of α-(Fe, Ni), Fe 0
Kamacite
Quotient of special unitary group by its center
holomorphic isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. In terms of matrices
Projective_unitary_group
SPACE GROUP
SPACE GROUP
Boy/Male
Hindu
Space
Boy/Male
Hindu, Indian
Space; Outer Space; Sky
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Limitless Space
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Space; Sky
Girl/Female
Indian, Telugu
Space
Girl/Female
Indian, Japanese, Tamil
Space; Star
Surname or Lastname
English
English : from a vernacular short form of the Latin personal name Paschalis (see Pascal, Italian Pasquale).nickname for a mild-mannered and peaceable person, from Middle English pace, pece ‘peace’, ‘concord’, ‘amity’ (via Anglo-Norman French from Latin pax, genitive pacis).Italian : from the medieval personal name Pace, used for both men and women, from the word pace ‘peace’ (see 1).
Boy/Male
Tamil
Antareeksh | அஂதரீகà¯à®·
Space
Antareeksh | அஂதரீகà¯à®·
Surname or Lastname
English or Scottish
English or Scottish : unexplained.
Surname or Lastname
English
English : nickname for a frugal person, from Middle English spare ‘sparing’, ‘frugal’.
Boy/Male
Hindu
Space
Surname or Lastname
English and Irish
English and Irish : variant of Stacey.
Girl/Female
Hindu, Indian, Marathi
Space; Sky
Male
English
English surname transferred to forename use, derived from the French personal name Pascal, PACE means "Passover; Easter."
Boy/Male
Tamil
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Space
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Space; Universe
Boy/Male
Hindu, Indian
Space; Sky
Boy/Male
Tamil
Antariksh | அஂதரிகà¯à®·
Space
Antariksh | அஂதரிகà¯à®·
Boy/Male
Hindu
Space
Girl/Female
Tamil
Antariksha | அஂதரிகà¯à®·
Space, Sky
SPACE GROUP
SPACE GROUP
Girl/Female
Tamil
Line, Sentence
Girl/Female
Indian, Sikh
Always Spread Love
Surname or Lastname
English
English : from the Middle English personal name Juwet, Jowet (feminine Juwette, Jowette). These originated as pet forms (with the Anglo-Norman French suffix -et(te)) of Juwe, Jowe, variants of Jull, a short form of Julian, which were borne by both men and women.
Boy/Male
Tamil
(Son of Virat)
Girl/Female
Biblical
A house.
Boy/Male
Muslim
Coming. Next.
Boy/Male
Hindu, Indian
Cake; Pie
Girl/Female
Celtic American English
Serves God.
Boy/Male
Latin
Laurel.
Surname or Lastname
English
English : habitational name from Wadsworth near Halifax, West Yorkshire, named with the Old English personal name Wæddi + worð ‘enclosure’.William Wadsworth came from England to Cambridge, MA, in 1632, and in 1636 accompanied Thomas Hooker as one of the founders of Hartford, CT.
SPACE GROUP
SPACE GROUP
SPACE GROUP
SPACE GROUP
SPACE GROUP
n.
A quantity or portion of extension; distance from one thing to another; an interval between any two or more objects; as, the space between two stars or two hills; the sound was heard for the space of a mile.
n.
The distance or interval between words or letters in the lines, or between lines, as in books.
v. t.
Held in reserve, to be used in an emergency; as, a spare anchor; a spare bed or room.
n.
The right of bowling again at a full set of pins, after having knocked all the pins down in less than three bowls. If all the pins are knocked down in one bowl it is a double spare; in two bowls, a single spare.
v. t.
To develop, guide, or control the pace or paces of; to teach the pace; to break in.
n.
Manner of stepping or moving; gait; walk; as, the walk, trot, canter, gallop, and amble are paces of the horse; a swaggering pace; a quick pace.
n.
One of that suit of cards each of which bears one or more figures resembling a spade.
adv.
With a quick pace; quick; fast; speedily.
v. t.
To season with spice, or as with spice; to mix aromatic or pungent substances with; to flavor; to season; as, to spice wine; to spice one's words with wit.
n.
Space.
n.
One of the intervals, or open places, between the lines of the staff.
imp. & p. p.
of Space
n.
Figuratively, that which enriches or alters the quality of a thing in a small degree, as spice alters the taste of food; that which gives zest or pungency; a slight flavoring; a relish; hence, a small quantity or admixture; a sprinkling; as, a spice of mischief.
v. t.
Scanty; not abundant or plentiful; as, a spare diet.
v. t.
Being over and above what is necessary, or what must be used or reserved; not wanted, or not used; superfluous; as, I have no spare time.
n.
To walk; to rove; to roam.
n.
To arrange or adjust the spaces in or between; as, to space words, lines, or letters.
n.
A small piece of metal cast lower than a face type, so as not to receive the ink in printing, -- used to separate words or letters.
v. t.
To measure by steps or paces; as, to pace a piece of ground.
v. t.
To dig with a spade; to pare off the sward of, as land, with a spade.