Facultad de Ciencia y Tecnologia/Zientzi eta Teknologia Fakultatea
Bilbao Crystallographic Server Universidad del Pais Vasco/Euskal Herriko Unibertsitatea
[ The crystallographic site at the Condensed Matter Physics Dept. of the University of the Basque Country ]

[ Space Groups ] [ Layer Groups ] [ Rod Groups ] [ Frieze Groups ] [ 2D Point Groups ] [ 3D Point Groups ] [ Magnetic Space Groups ]

Second Balkan School on
Fundamental Crystallography and
Workshop on Magnetic Symmetry

13-19 July 2015, ITAP & Istanbul Technical University Campus, Istanbul / Turkey
Space Groups Retrieval Tools
Magnetic Symmetry and Applications
Solid State
Structure Utilities
Incommensurate Structures Database
Raman and Hyper-Raman scattering
Point Groups Retrieval Tools

Contact us
About us
How to cite the server

2014 IUCr satellite workshop:
Role of Magnetic Symmetry in the Description of Magnetic Structures.
(August 2014)

BCS material from the IUCr workshop

Material from the ITOnline Workshop (September 2011)

ITOn! 2011 Satellite Workshop

Material from the school on the server (June 2009)

International School on the use and Applications of the Bilbao Crystallographic Server

Results in text/plain format
Results in text/xml format
Space Groups Retrieval Tools
GENPOSGenerators and General Positions of Space Groups
WYCKPOSWyckoff Positions of Space Groups
HKLCONDReflection conditions of Space Groups
MAXSUB Maximal Subgroups of Space Groups
SERIES Series of Maximal Isomorphic Subgroups of Space Groups
WYCKSETSEquivalent Sets of Wyckoff Positions
NORMALIZERNormalizers of Space Groups
KVECThe k-vector types and Brillouin zones of Space Groups
SYMMETRY OPERATIONSGeometric interpretation of matrix column representations of symmetry operations
IDENTIFY GROUPIdentification of a Space Group from a set of generators in an arbitrary setting

Magnetic Symmetry and Applications
MGENPOSGeneral Positions of Magnetic Space Groups
MWYCKPOSWyckoff Positions of Magnetic Space Groups
MAGNEXTExtinction Rules of Magnetic Space Groups
IDENTIFY MAGNETIC GROUPIdentification of a Magnetic Space Group from a set of generators in an arbitrary setting
MAXMAGN Maximal magnetic space groups for a given a propagation vector and resulting magnetic structural models
MAGMODELIZE Magnetic structure models for any given magnetic symmetry
k-SUBGROUPSMAG Magnetic subgroups consistent with some given propagation vector(s) or a supercell
MAGNDATA A collection of magnetic structures with transportable cif-type files
MVISUALIZE 3D Visualization of magnetic structures with Jmol

Group - Subgroup Relations of Space Groups
SUBGROUPGRAPHLattice of Maximal Subgroups
HERMANNDistribution of subgroups in conjugated classes
COSETSCoset decomposition for a group-subgroup pair
WYCKSPLITThe splitting of the Wyckoff Positions
MINSUPMinimal Supergroups of Space Groups
SUPERGROUPSSupergroups of Space Groups
CELLSUBList of subgroups for a given k-index.
CELLSUPERList of supergroups for a given k-index.
NONCHARNon Characteristic orbits.
COMMONSUBSCommon Subgroups of Space Groups
COMMONSUPERCommon Supergroups of Two Space Groups
INDEXIndex of a group subgroup pair

Representation Theory Applications
REPRES Space Groups Representations
DIRPRO Direct Products of Space Group Irreducible Representations
CORREL Correlations relations between the irreducible representations of a group-subgroup pair
POINT Point Group Tables
SITESYM Site-symmetry induced representations of Space Groups
COMPATIBILITY RELATIONS Compatibility relations between the irreducible representations of a space group

Solid State Theory Applications
NEUTRON Neutron Scattering Selection Rules
SYMMODES Primary and Secondary Modes for a Group - Subgroup pair
AMPLIMODES Symmetry Mode Analysis
PSEUDO Pseudosymmetry Search in a Structure
DOPE Degree of Pseudosymmetry Estimation
TRANPATHTransition Paths (Group not subgroup relations)

Structure Utilities
CELLTRAN Transform Unit Cells
STRAIN Strain Tensor Calculation
WPASSIGN Assignment of Wyckoff Positions
TRANSTRU Transform structures.
SETSTRU  Alternative Settings for a given Crystal Structure
EQUIVSTRU Equivalent Descriptions for a given Crystal Structure
STRCONVERT Convert & Edit Structure Data
(supports the CIF, mCIF, VESTA, VASP formats -- with magnetic information where available)
VISUALIZE Visualize structures using Jmol
COMPSTRU  Comparison of Crystal Structures with the same Symmetry
STRUCTURE RELATIONS  Evaluation of structure relationships [transformation matrix] between group-subgroup related phases
PSEUDOLATTICE Pseudosymmetry of a lattice and compatible supergroups

Subperiodic Groups: Layer, Rod and Frieze Groups Retrieval Tools
GENPOS Generators and General Positions of Subperiodic Groups
WPOS Wyckoff Positions of Subperiodic Groups
MAXSUB Maximal Subgroups of Subperiodic Groups

B-IncStrDB  The Bilbao Incommensurate Crystal Structure Database

Raman and Hyper-Raman scattering
SAM Spectral Active Modes (IR, RAMAN and HYPER-RAMAN Selection Rules)
RAMAN AND HYPER-RAMAN TENSORS Raman and Hyper-Raman tensors in any orientation
POLARIZATION SELECTION RULES Polarization Selection Rules for Raman and Hyper-Raman Scattering processes
TWIN DOMAINS Raman or Hyper-Raman Tensors for Different Orientation Domains
CORRELATIONS POINTS Relation between the symmetry modes in a high and low symmetry phases and their activity
RAMAN CORRELATIONS SPACE IR and Raman activity under a symmetry break for a given structure
MORPHIC EFFECTS Correlation relations for point groups under the influence of an electric or magnetic field

Point Groups: Retrieval Tools
2D GENPOS Generators and general positions of the two-dimensional crystallographic point groups
2D WYCKPOS Wyckoff positions of the two-dimensional crystallographic point groups
3D GENPOS Generators and general positions of the three-dimensional crystallographic point groups
3D WYCKPOS Wyckoff positions of the three-dimensional crystallographic point groups
Bilbao Crystallographic Server
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