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MaXrd

Guides

  • MaXrd – Mathematica X-ray diffraction package

Tech Notes

  • Applying crystal data
  • Basic computations
  • Computations on reflections
  • Formulas in crystallography
  • Importing crystal data
  • Quick guide to conditions
  • References
  • Symmetry calculations
  • The association structure of crystallographic data
  • Using the rotation options

Symbols

  • AttenuationCoefficient
  • BraggAngle
  • ConstructDomains
  • CrystalDensity
  • CrystalFormulaUnits
  • CrystalPlot
  • DarwinWidth
  • DistortStructure
  • DomainPlot
  • EmbedStructure
  • ExpandCrystal
  • ExportCrystalData
  • ExtinctionLength
  • FindPixelClusters
  • GetAtomCoordinates
  • GetAtomicScatteringFactors
  • GetCrystalMetric
  • GetElements
  • GetLatticeParameters
  • GetLaueClass
  • GetScatteringCrossSections
  • GetSymmetryData
  • GetSymmetryOperations
  • ImportCrystalData
  • InputCheck
  • InterplanarSpacing
  • MergeDomains
  • MergeSymmetryEquivalentReflections
  • MillerNotationToList
  • MillerNotationToString
  • ReciprocalImageCheck
  • ReciprocalSpaceSimulation
  • ReflectionList
  • RelatedFunctionsGraph
  • ResetCrystalData
  • ResizeStructure
  • SimulateDiffractionPattern
  • StructureFactor
  • StructureFactorTable
  • SymmetryEquivalentPositions
  • SymmetryEquivalentReflections
  • SymmetryEquivalentReflectionsQ
  • SynthesiseStructure
  • SystematicAbsentQ
  • ToStandardSetting
  • TransformAtomicDisplacementParameters
  • UnitCellTransformation
  • $CrystalData
  • $GroupSymbolRedirect
  • $LaueClasses
  • $MaXrdPath
  • $MaXrdVersion
  • $PeriodicTable
  • $PointGroups
  • $SpaceGroups
  • $TransformationMatrices
StianRamsnes`MaXrd`
GetSymmetryData
​
GetSymmetryData
[group,label]
extracts the data associated with
label
from the given point- or space
group
.
​
Details and Options

Examples  
(5)
Basic Examples  
(2)
Query the data on for example
P
6
3
:
In[1]:=
GetSymmetryData
["P63"]
Out[1]=
NameSymbol
P6
3
,HermannMauguinShortP 63,HermannMauguinFullP 63,SchoenfliesSymbol
6
C
6
,HallStringP 6c,SpaceGroupNumber173,LaueClass6/m,CrystalSystemHexagonal,PropertiesCentrosymmetricQFalse,SohnckeGroupQTrue,Setting,SymmetryOperations{{{1,0,0},{0,1,0},{0,0,1}},{0,0,0}},{{{0,-1,0},{1,-1,0},{0,0,1}},{0,0,0}},{{{-1,1,0},{-1,0,0},{0,0,1}},{0,0,0}},{{-1,0,0},{0,-1,0},{0,0,1}},0,0,
1
2
,{{0,1,0},{-1,1,0},{0,0,1}},0,0,
1
2
,{{1,-1,0},{1,0,0},{0,0,1}},0,0,
1
2
,SpecialPositionsMultiplicity6,WyckoffLetterc,SiteSymmetry1,Coordinates{x,y,z},{-y,x-y,z},{-x+y,-x,z},-x,-y,
1
2
+z,y,-x+y,
1
2
+z,x-y,x,
1
2
+z,ReflectionConditions{{h_,k_,l_}/;hk0/;EvenQ[l]},Multiplicity2,WyckoffLetterb,SiteSymmetry3..,Coordinates
1
3
,
2
3
,z,
2
3
,
1
3
,
1
2
+z,ReflectionConditions{{h_,k_,l_}/;True/;EvenQ[l]||Mod[h-k,3]1||Mod[h-k,3]2},Multiplicity2,WyckoffLettera,SiteSymmetry3..,Coordinates{0,0,z},0,0,
1
2
+z,ReflectionConditions{{h_,k_,l_}/;True/;EvenQ[l]}
​
Extract the space group number and Laue class of
Aeaa
:
In[1]:=
GetSymmetryData
["Aeaa",#]&/@{"SpaceGroupNumber","LaueClass"}
Out[1]=
{68,mmm}
Is it the main entry of this space group?
In[2]:=
GetSymmetryData
["Aeaa","MainEntryQ"]
Out[2]=
False
Find the symbol of the corresponding main entry:
In[3]:=
GetSymmetryData
["Aeaa","Symbol","UseMainEntry"True]
Out[3]=
Ccce
Scope  
(2)

Possible Issues  
(1)

SeeAlso
ImportCrystalData
 
▪
UnitCellTransformation
 
▪
SystematicAbsentQ
 
▪
SymmetryEquivalentPositions
 
▪
StructureFactor
 
▪
$GroupSymbolRedirect
 
▪
ToStandardSetting
 
▪
$CrystalData
 
▪
$SpaceGroups
RelatedGuides
▪
MaXrd – Mathematica X-ray diffraction package
RelatedLinks
[1] T. Hahn,
Space-Group Symmetry
, 5th ed., International Tables for Crystallography. Kluwer Academic Publishers, 2002, volume A. Website:
▪
http://it.iucr.org/A/
.
""

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