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Space group

In mathematics, physics and 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 operations) are the rigid transformations of the pattern that leave it unchanged. Usually the term is applied to groups that repeat in all three dimensions, but the line…

History, Elements & Notation

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Overview

History

Elements

Notation

Classification systems

In other dimensions

Table of space groups in 3 dimensions

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Map overview Semantic statistics

Space group

Nodes83
Edges82
Triples103
Avg. degree1.98
Density0.024096
Components1

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Space group

Top relations

related to history · 22
Space group → Arthur Moritz Schoenflies, Cc, Evgraf Fedorov, Fdd2, Fedorov, Fmm2, German, I42d, I43d, In, Leonhard Sohncke, More, P421c, P421d, P421m, Pc, Russian, Schönflies, Sohncke, Space
related to Bieberbach's theorems · 13
Space group → Biberbach, Bieberbach, Bieberbach's, Combining, Euclidean, He, Heisenberg, Hilbert's, In, It, This, Z3, Zn
related to Glide planes · 9
Space group → Abm2, Acm2, Ccca, Cccb, For, In, The, There, This
related to Magnetic groups and time reversal · 9
Space group → Frieze, In, Including, It, Number, Shubnikov, The, These, They
related to Elements · 7
Space group → Bravais, Fm3m, NaCl, P1, The, This, What
related to External links · 7
Space group → Archived, Crystal Lattice Structures, CrystallographySpace Group Info, Index, International Union, Space GroupFull, Wayback Machine
related to Classification systems · 5
Space group → Another, Each, The, There, To
related to Combinations · 5
Space group → An, Only, P1, The, Translations
related to Table of space groups in 3 dimensions · 5
Space group → An, If, Note, The, They
related to Translations · 5
Space group → Auguste Bravais, Bravais, French, The, There

Important terminology Word statistics

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Important terminology

space groups group lattice dimensions point also called symmetry glide crystal elements one magnetic wallpaper number three rotation translation screw

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Space groupis asymmetry group of a repeating pattern in space0.90text
Space grouprelated to Bieberbach's theoremsIn0.60section
Space grouprelated to Bieberbach's theoremsBieberbach0.60section
Space grouprelated to Bieberbach's theoremsEuclidean0.60section
Space grouprelated to Bieberbach's theoremsBiberbach0.60section
Space grouprelated to Bieberbach's theoremsHe0.60section
Space grouprelated to Bieberbach's theoremsThis0.60section
Space grouprelated to Bieberbach's theoremsHilbert's0.60section
Space grouprelated to Bieberbach's theoremsIt0.60section
Space grouprelated to Bieberbach's theoremsZn0.60section
Space grouprelated to Bieberbach's theoremsCombining0.60section
Space grouprelated to Bieberbach's theoremsBieberbach's0.60section

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