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Crystallographic point group

In crystallography, a crystallographic point group is a point group whose symmetry operations are compatible with the translational symmetry of crystallographic lattices. According to the crystallographic restriction theorem, point groups may only contain one-, two-, three-, four- and sixfold rotational symmetries. This reduces the number of…

In three dimensions, Symmetry in understanding crystal properties & In two dimensions

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Graphical representations

In two dimensions

Schoenflies notation

In three dimensions

Symmetry in understanding crystal properties

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Crystallographic point group

Nodes51
Edges50
Triples46
Avg. degree1.96
Density0.039216
Components1

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Crystallographic point group

Top relations

related to Isomorphisms · 19
Crystallographic point group → A4, All, C1, C2, C3, C4, C6, D2, D3, D4, D6, For, Here, Many, S4, That, The, This, Two
related to In three dimensions · 10
Crystallographic point group → Axel Gadolin, Consider, Hessel, If, In, Johann Friedrich Christian Hessel, Otherwise, Still, The, This
related to Symmetry in Polycrystals · 9
Crystallographic point group → An, Below, Curie, Curie's, For, In, Polycrystals, The, This
related to Hermann–Mauguin notation · 4
Crystallographic point group → An, Hermann, In, Mauguin
is a · 1
Crystallographic point group → point group whose symmetry operations are compatible with the translational symmetry of crystallographic lattices

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Important terminology

point symmetry groups group mirror crystallographic crystal axis properties crystals structure rotation plane polycrystal 32 elements space perpendicular polar two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Crystallographic point groupis apoint group whose symmetry operations are compatible with the translational symmetry of crystallographic lattices0.90text
birefringencyinstance ofincluding optical properties0.80text
or electro-optical features such as the Pockels effectinstance ofincluding optical properties0.80text
magnetisminstance ofThe remaining 58 groups are capable of displaying dichroic properties0.80text
Crystallographic point grouprelated to Hermann–Mauguin notationAn0.60section
Crystallographic point grouprelated to Hermann–Mauguin notationHermann0.60section
Crystallographic point grouprelated to Hermann–Mauguin notationMauguin0.60section
Crystallographic point grouprelated to Hermann–Mauguin notationIn0.60section
Crystallographic point grouprelated to In three dimensionsThe0.60section
Crystallographic point grouprelated to In three dimensionsJohann Friedrich Christian Hessel0.60section
Crystallographic point grouprelated to In three dimensionsIn0.60section
Crystallographic point grouprelated to In three dimensionsAxel Gadolin0.60section

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