Bilbao Crystallographic Server

<html>  <head> <title>Bilbao Crystallographic Server</title> <meta name="KEYWORDS" content="Cesar, Capillas, Eli, Kroumova, Mois, Aroyo, Perez-Mato, space groups, subperiodic groups, layer groups, rod, groups, frieze groups, general positions, genpos, Wyckoff positions, wyckpos, maximal subgroups, maxsub, chains, classify, supergroups, minsup, Wyckoff splitting, wycksplit, pseudosymmetry, pseudo, symmetry modes, SYMMODES, symmetry adapted modes, spectral active modes, sam, neutron, diffuse scattering, selection rules, incomensurate crystal structure database, ICSDB, phase transitions, ferroelectrics, crystallography, symmetry, bilbao crystallographic server, LAMA, UPV/EHU, Universidad del Pais Vasco, Departamento de Fisica de la Materia Condensada, testing.."> <meta http-equiv="Content-Type" content="text/html"> <link title="BCS Style" rel="STYLESHEET" href="/html/css/bcs_index_aux.css" type="text/css"> <script type="text/javascript"> function showTab(selected, total) { for(i = 1; i <= total; i += 1) { document.getElementById('tabs-' + i).style.display = 'none'; } document.getElementById('tabs-' + selected).style.display = 'block'; } </script> </head> <body class="index"> <center> <br/> <table width="100%"> <tr> <td width="15%" align="center"> <a href="http://www.zientzia-teknologia.ehu.es/p240-home/es"> <img src="/html/gif/ztf.gif" alt="Facultad de Ciencia y Tecnologia/Zientzia eta Teknologia Fakultatea" height="64" width="64" border="0"> </a><br> <small>FCT/ZTF</small> </td> <td width="70%" align="center"> <img width="600" src="/html/gif/bcs.png" alt="Bilbao Crystallographic Server"> </td> <td width="45%" align="center"> <a href="http://www.ehu.es"> <img src="/html/gif/upv.gif" alt="Universidad del Pais Vasco/Euskal Herriko Unibertsitatea" height="50" border="0"> </a> </td> </tr> </table> <table> <tr> <td width="20%" valign="top"> <table>      <tr> <td> <center><img src="/html/gif/bcs_img.jpg" height="164"></center><br> <center><b><a href="/cryst/workshops_and_schools.html"><font color="black">Bilbao Crystallographic Server<br> in forthcoming schools and workshops</font></a></b><br><br></center></td> </tr> <tr><td> <font color=#000080><b>News:</b></font> <ul> <li> <a href=""><b>New programs for Layer Groups</b></a><br> <small>11/2024: REPRESENTATIONS DLSG, DLCOMPREL, DLSITESYM, LBANDREP, Check Topological layer Mat., Topological Indices, RSI-layer.</small><br><br> </li> <li> <a class="blue" href="https://journals.iucr.org/j/issues/2024/05/00/tu5056/index.html"><b>New Article</b></a><br> <small>10/2024: Tasci <i>et al.</i> "SUBGROUPS: a computer tool at the Bilbao Crystallographic Server for the study of pseudo-symmetric or distorted structures". J. Appl. Cryst. (2024) <b>57</b>, 1650-1666<br><br> </li> <li> <a class="blue" href="https://journals.iucr.org/j/issues/2024/05/00/dv5017/index.html"><b>New Article</b></a><br> <small>10/2024: de la Flor <i>et al.</i> "Free tools for crystallographic symmetry handling and visualization". J. Appl. Cryst. (2024) <b>57</b>, 1618-1639<br><br> </li> <li> <a class="blue" href="https://journals.iucr.org/j/issues/2024/05/00/yr5136/index.html"><b>New Article</b></a><br> <small>10/2024: Gabirondo-Lopez <i>et al.</i> "Towards dynamically configured databases for CIFs: the new modulated structures open database at the Bilbao Crystallographic Server". J. Appl. Cryst. (2024) <b>57</b>, 1640-1649<br><br> </li> <li> <a class="blue" href="https://www.science.org/stoken/author-tokens/ST-1848/full"><b>New Article</b></a><br> <small>05/2024: Xu <i>et al.</i> "Catalog of topological phonon materials". Science (2024) <b>384</b>, 6696<br><br> </li> <li> <a href="http://webbdcrista2.ehu.es/subperiodic/sections.html"><b>New version of the program SECTIONS</b></a><br> <small>07/2023: New version of the program that identifies layer symmetry of periodic sections.</small><br><br> </li> <br> </li> <br> <br> </ul> </td> </tr> <tr> <td> <hr> </td> </tr> <tr> <td> <a href="http://www.cryst.ehu.es/wiki/index.php/Category:Tutorials_on_tools"><b>Tutorials</b></a> </td> </tr> <tr> <td> <a href="/cryst/material_BCS.html"><b>Material used in workshops and schools</b></a> </td> </tr> <tr> <td> <a href="/html/doc/bcs_history.html"><b>Archive</b></a> </td> </tr>  </table> </td> <td width="70%" valign="top"> <center>  </center> <br> <table width="100%"> <tr> <td align="center"> <a href="mailto:administrador.bcs@ehu.es"><b>Contact us</b></a></td> <td align="center"><a href="http://www.cryst.ehu.es/wiki/index.php/About_the_Bilbao_Crystallographic_Server"><b>About us</b></a></td> <td align="center"><a href="http://www.cryst.ehu.es/wiki/index.php/Articles"><b>Publications</b></a></td> <td align="center"><a href="http://www.cryst.ehu.es/wiki/index.php/How_to_cite_the_Bilbao_Crystallographic_Server"><b>How to cite the server</b></a></td> </tr> </table>    <a name="retrievaltop"></a> <table align="center" class="darkblue"> <tr> <td style="font-size: 20px" align="center"> <a href="#retrievaltop" name="retrieval" title="This toolkit contains simple database retrieval tools from the space group tables" onclick="document.getElementById('tb1').style.display=(document.getElementById('tb1').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Space-group symmetry</font></b></a> </td> </tr> </table> <div id="tb1" style="display:none;"> <table align ="center" class="blue"> <tr> <td width="25%"><a class="blue" href="/cryst/get_gen.html"> <b>GENPOS</b></a></td><td>Generators and General Positions of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/get_wp.html"> <b>WYCKPOS</b></a></td><td>Wyckoff Positions of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/get_hkl.html"> <b>HKLCOND</b></a></td><td>Reflection conditions of Space Groups </td> </tr> <tr> <td width="25%"> <a class="blue" href="/cryst/maxsub.html"> <b>MAXSUB</b> </a> </td> <td> Maximal Subgroups of Space Groups </td> </tr> <tr> <td width="25%"> <a class="blue" href="/cryst/series.html"> <b>SERIES</b> </a> </td> <td> Series of Maximal Isomorphic Subgroups of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/get_set.html"> <b>WYCKSETS</b></a></td><td>Equivalent Sets of Wyckoff Positions </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/get_nor.html"> <b>NORMALIZER</b></a></td><td>Normalizers of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/get_kvec.html"> <b>KVEC</b></a></td><td>The k-vector types and Brillouin zones of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/matrices.html"> <b>SYMMETRY OPERATIONS</b></a></td><td>Geometric interpretation of matrix column representations of symmetry operations </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/checkgr.pl?tipog=gesp"> <b>IDENTIFY GROUP</b></a></td><td>Identification of a Space Group from a set of generators in an arbitrary setting </td> </tr> <tr> <td width="25%"> <b><a class="blue" href="http://webbdcrista2.ehu.es/plane/projections.html">PROJECTIONS <img src="/html/gif/in_development_blue.png" title="Currently in development stage"></a></b> </td> <td> Projections of space space groups </td> </tr> </table> <br/><br/> </div> <br>    <a name="msgtop"></a> <table align="center" class="darkblue3"> <tr> <td style="font-size: 20px" align="center"> <a href="#msgtop" name="msg" title="This toolbox contains tools related to magnetic space groups" onclick="document.getElementById('tb2').style.display=(document.getElementById('tb2').style.display== 'block')?'none':'block';"><b><font color="#FFFFFF">Magnetic Symmetry and Applications</font> </b></a> </td> </tr> </table> <div id="tb2" style="display:none;"> <table align="center" class="blue"> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/magget_gen.pl"> <b>MGENPOS</b></a></td><td>General Positions of Magnetic Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/magget_wp.pl"> <b>MWYCKPOS</b></a></td><td>Wyckoff Positions of Magnetic Space Groups </td> </tr>  <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/mkvec.pl"> <b>MKVEC</b></a></td><td>The k-vector types and Brillouin zones of Magnetic Space Groups </td> </tr> <tr> <td width="30%"><a class="blue" href="/cryst/identify_mgroup.html"> <b>IDENTIFY MAGNETIC GROUP</b></a></td><td>Identification of a Magnetic Space Group from a set of generators in an arbitrary setting </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/bns2og.pl"> <b>BNS2OG</b></a></td><td>Transformation of symmetry operations between BNS and OG settings </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/mCIF2PCR.pl"> <b>mCIF2PCR</b></a></td><td>Transformation from mCIF to PCR format (FullProf). </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/mpoint_uni.html"> <b>MPOINT</b></a></td><td>Magnetic Point Group Tables </td> </tr> <tr> <td width="25%"><a class="blue" href="/cryst/magnext.html"> <b>MAGNEXT</b></a></td><td>Extinction Rules of Magnetic Space Groups </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/msglist2.pl"> <b>MAXMAGN</b></a></td><td>Maximal magnetic space groups for a given space group and a propagation vector </td> </tr> <tr> <td width="30%"><a class="blue" href="/cryst/magmodelize.html"> <b>MAGMODELIZE</b></a></td><td>Magnetic structure models for any given magnetic symmetry </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/mcif2vesta/index.php"> <b>STRCONVERT</b></a> </td> <td> Convert & Edit Structure Data<br><small>(supports the CIF, mCIF, VESTA, VASP formats -- with magnetic information where available)</small> </td> </tr> <tr> <td width="30%"><a class="blue" href="/cgi-bin/cryst/programs/subgrmag1_k.pl"> <b>k-SUBGROUPSMAG</b></a></td><td>Magnetic subgroups consistent with some given propagation vector(s) or a supercell </td> </tr> <tr> <td width="25%"><a class="blue" href="http://www.cryst.ehu.es/magndata/"> <b>MAGNDATA</b></a></td><td>A collection of magnetic structures with portable cif-type files </td> </tr> <tr>  <td width="30%"><a class="blue" href="/magndata/mvisualize.php"> <b>MVISUALIZE</b></a></td><td>3D Visualization of magnetic structures with Jmol </td> </tr> <tr> <td width="25%"><a class="blue" href="/cgi-bin/cryst/programs/mtensor.pl"> <b>MTENSOR</b> <img src="/html/gif/in_development_blue.png" title="Currently in development stage"></a></td><td>Symmetry-adapted form of crystal tensors in magnetic phases </td> </tr> <tr> <td width="25%"> <b><a class="blue" href="/cgi-bin/cryst/programs/mechanical_rep.pl?tipog=gmag">MAGNETIC REP.</a></b> </td> <td> Decomposition of the magnetic representation into irreps </td> </tr> <tr> <td width="25%"> <a class="blue" href="/cgi-bin/cryst/programs/get_irreps.pl?tipog=gmag"><b>Get_mirreps</b></a> </td> <td> Irreps and order parameters in a paramagnetic space group- magnetic subgroup phase transition </td> </tr> </table> <br/><br/> </div> <br>    <a name="subgroups"></a> <table align="center" class="darkblue2"> <tr> <td style="font-size: 20px" align="center"> <a href="#subgroupstop" name="subgroups" onclick="document.getElementById('tb3').style.display=(document.getElementById('tb3').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Group-Subgroup Relations of Space Groups</font></b></a> </td> </tr> </table> <div id="tb3" style="display:none;"> <table align="center" class="blue2"> <tr> <td width="25%"><a class="blue2" href="/cryst/subgroupgraph.html"> <b>SUBGROUPGRAPH</b></a></td><td>Graph of Maximal Subgroups </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/hermann.html"> <b>HERMANN</b></a></td><td>Distribution of subgroups in conjugated classes </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/cosets.html"> <b>COSETS</b></a></td><td>Coset decomposition for a group-subgroup pair </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/wpsplit.html"> <b>WYCKSPLIT</b></a></td><td>The splitting of the Wyckoff Positions </td> </tr> <tr> <td width="25%"> <a class="blue2" href="/cryst/maxsub.html"><b>MAXSUB</b></a> </td> <td>Maximal Subgroups of Space Groups</td> </tr> <tr> <td width="25%"> <a class="blue2" href="/cryst/series.html"><b>SERIES</b></a> </td> <td>Series of Maximal Isomorphic Subgroups of Space Groups</td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/minsup.html"> <b>MINSUP</b></a></td><td>Minimal Supergroups of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/supergroups.html"> <b>SUPERGROUPS</b></a></td><td>Supergroups of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/cellsub.html"> <b>CELLSUB</b></a></td><td>List of subgroups for a given k-index. </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/cellsuper.html"> <b>CELLSUPER</b></a></td><td>List of supergroups for a given k-index. </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/nonchar.html"> <b>NONCHAR</b></a></td><td>Non Characteristic orbits. </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/commonist.html"> <b>COMMONSUBS</b></a></td><td>Common Subgroups of Space Groups </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/commonsuper.html"> <b>COMMONSUPER</b></a></td><td>Common Supergroups of Two Space Groups </td> </tr> <tr> <td width="25%"><a class="blue2" href="/cryst/get_index.html"> <b>INDEX</b></a></td><td>Index of a group subgroup pair </td> </tr> <tr> <td width="30%"><a class="blue2" href="/cgi-bin/cryst/programs/subgrmag1_cell.pl"> <b>SUBGROUPS</b></a></td><td>Subgroups of a space group consistent with some given supercell, propagation vector(s) or irreducible representation(s) </td> </tr> </table> <br/><br/> </div> <br>    <a name="repstop"></a> <table align="center" class="darkgreen1"> <tr> <td style="font-size: 20px" align="center"> <a href="#repstop" name="reps" onclick="document.getElementById('tb4').style.display=(document.getElementById('tb4').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Representations and Applications</font></b></a> </td> </tr> </table> <div id="tb4" style="display:none;"> <br> <table align="center" class="green1"> <tr> <td width="25%"> </td> <td bgcolor=#7baaac style="font-size: 20px" align="center"> <b> <a href="#repstop" name="reps" onclick="document.getElementById('tb4a').style.display=(document.getElementById('tb4a').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Point and Space Groups</font></b></a> </td> </tr> </table> <div id="tb4a" style="display:none;"> <table align="center" class="green1"> <tr> <td width="25%"><a class="green1" href="/cryst/get_kvec.html"> <b>KVEC</b></a></td><td>The k-vector types and Brillouin zones of Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/repres.html"><b>REPRES</b></a> </td> <td> Space Groups Representations </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/representations_point.pl?tipogrupo=spg"><b>Representations PG</b></a> </td> <td> Irreducible representations of the crystallographic Point Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/representations.pl?tipogrupo=spg"><b>Representations SG</b></a> </td> <td> Irreducible representations of the Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/get_irreps.pl?tipog=gesp"><b>Get_irreps</b></a> </td> <td> Irreps and order parameters in a space group-subgroup phase transition </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/dirpro.html"><b>DIRPRO</b></a> </td> <td> Direct Products of Space Group Irreducible Representations </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/correl.html"><b>CORREL</b></a> </td> <td> Correlations relations between the irreducible representations of a group-subgroup pair </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/point.html"><b>POINT</b></a> </td> <td> Point Group Tables </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/sitesym.html"><b>SITESYM</b></a> </td> <td> Site-symmetry induced representations of Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/rep/rep_correlation_relations.html"><b>COMPATIBILITY RELATIONS</b></a> </td> <td> Compatibility relations between the irreducible representations of a space group </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/mechanical_rep.pl?tipog=gesp">MECHANICAL REP.</a> </b> </td> <td> Decomposition of the mechanical representation into irreps </td> </tr> </table> </div> <br> <table align="center" class="green1"> <tr> <td width="25%"> </td> <td bgcolor=#7baaac style="font-size: 20px" align="center"> <a href="#repstop" name="reps" onclick="document.getElementById('tb4b').style.display=(document.getElementById('tb4b').style.display== 'block')?'none':'block';"><b> <b> <font color="#FFFFFF">Double point and space groups</font></b><a></a> </td> </tr> </table> <div id="tb4b" style="display:none;"> <table align="center" class="green1"> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/representations_point.pl?tipogrupo=dbg">REPRESENTATIONS DPG</a> </b> </td> <td> Irreducible representations of the Double Point Groups </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/representations.pl?tipogrupo=dbg">REPRESENTATIONS DSG</a> </b> </td> <td> Irreducible representations of the Double Space Groups </td> </tr> <tr> <td width="30%"><a class="green1" href="/cgi-bin/cryst/programs/subductionmag.pl?tipog=gesp"> <b>DCORREL</b></a></td><td>Correlations between the physically irreducible representations of a (double) group-subgroup pair. </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/dsitesym.pl">DSITESYM</a> </b> </td> <td> Site-symmetry induced representations of Double Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/dcomprel.pl">DCOMPREL</a> </b> </td> <td> Compatibility relations between the irreducible representations of Double Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/bandrep.pl">BANDREP</a> </b> </td> <td> Band representations and Elementary Band representations of Double Space Groups </td> </tr> </table> </div> <br> <table align="center" class="green1"> <tr> <td width="25%"> </td> <td bgcolor=#7baaac style="font-size: 20px" align="center"> <a href="#repstop" name="reps" onclick="document.getElementById('tb4c').style.display=(document.getElementById('tb4c').style.display== 'block')?'none':'block';"><b> <b> <font color="#FFFFFF">Magnetic point and space groups</font></b> </td> </tr> </table> <div id="tb4c" style="display:none;"> <table align="center" class="green1"> <tr> <td width="25%"><a class="green1" href="/cgi-bin/cryst/programs/mkvec.pl"> <b>MKVEC</b></a></td><td>The k-vector types and Brillouin zones of Magnetic Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/html/cryst/mpointrepres.html"><b>COREPRESENTATIONS PG</b></a> </td> <td> Irreducible corepresentations of the Magnetic Double Point Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/corepresentations.pl"><b>COREPRESENTATIONS</b></a> </td> <td> Irreducible corepresentations of the Magnetic Double Space Groups </td> </tr> <tr> <td width="30%"><a class="green1" href="/cgi-bin/cryst/programs/subductionmag.pl?tipog=gmag"> <b>MCORREL</b></a></td><td>Correlations between the irreducible co-representations of a magnetic group-subgroup pair. </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/msitesym.pl"><b>MSITESYM</b></a> </td> <td> Site-symmetry induced representations of Magnetic Space Groups </td> </tr>  <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/mcomprel.pl"><b>MCOMPREL</b></a> </td> <td> Compatibility relations between the irreducible corepresentations of Magnetic Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/mbandrep.pl"><b>MBANDREP</b></a> </td> <td> Band corepresentations and Elementary Band corepresentations of Magnetic Double Space Groups </td> </tr> <tr> <td width="25%"> <a class="green1" href="/cgi-bin/cryst/programs/get_irreps.pl?tipog=gmag"><b>Get_mirreps</b></a> </td> <td> Irreps and order parameters in a paramagnetic space group- magnetic subgroup phase transition </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/mechanical_rep.pl?tipog=gmag">MAGNETIC REP.</a> </b> </td> <td> Decomposition of the magnetic representation into irreps </td> </tr> </table> <br/><br/></div> <br> <table align="center" class="green1"> <tr> <td width="25%"> </td> <td bgcolor=#7baaac style="font-size: 20px" align="center"> <a href="#repstop" name="reps" onclick="document.getElementById('tb4e').style.display=(document.getElementById('tb4e').style.display== 'block')?'none':'block';"><b> <b> <font color="#FFFFFF">Double layer space groups</font></b><a></a> </td> </tr> </table> <div id="tb4e" style="display:none;"> <table align="center" class="green1"> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/layer/representationslayer.pl">REPRESENTATIONS DLSG</a> </b> </td> <td> Irreducible representations of the Double Layer Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/layer/dlcomprel.pl">DLCOMPREL</a> </b> </td> <td> Compatibility relations between irreducible representations of the Double Layer Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="green1" href="/cgi-bin/cryst/programs/layer/dlsitesym.pl">DLSITESYM</a> </b> </td> <td> Site-symmetry induced representations of Double Layer Space Groups </td> </tr> </table> </div> <br> <table align="center" class="green1"> <tr> <td width="25%"> </td> <td bgcolor=#7baaac style="font-size: 20px" align="center"> <a href="#repstop" name="reps" onclick="document.getElementById('tb4d').style.display=(document.getElementById('tb4d').style.display== 'block')?'none':'block';"><b> <b> <font color="#FFFFFF">Projective plane groups</font></b> </td> </tr> </table> <div id="tb4d" style="display:none;"> <table align="center" class="green1"> <tr> <td width="25%"> <a class="green1" href="/html/cryst/projectiverepres.html"><b>ProjectiveRep PG</b></a> </td> <td> Projective representations of magnetic plane point groups </td> </tr> </table> <br/><br/></div> </div> <br>    <a name="solidtop"></a> <table align="center" class="darkgreen2"> <tr> <td style="font-size: 20px" align="center"> <a href="#solidtop" name="solid" onclick="document.getElementById('tb5').style.display=(document.getElementById('tb5').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Solid State Theory Applications</font></b></a> </td> </tr> </table> <div id="tb5" style="display:none;"> <table align="center" class="green2"> <tr> <td width="25%"><a class="green2" href="/rep/neutron.html"> <b>NEUTRON</b></a> </td> <td> Neutron Scattering Selection Rules </td> </tr> <tr> <td width="25%"><a class="green2" href="/cryst/symmodes.html"> <b>SYMMODES</b></a> </td> <td> Primary and Secondary Modes for a Group - Subgroup pair </td> </tr> <tr> <td width="25%"><a class="green2" href="/cryst/amplimodes.html"> <b>AMPLIMODES</b></a> </td> <td> Symmetry Mode Analysis </td> </tr> <tr> <td width="25%"><a class="green2" href="/cryst/pseudosymmetry.html"> <b>PSEUDO</b></a> </td> <td>Pseudosymmetry Search in a Structure</td> </tr> <tr> <td width="25%"><a class="green2" href="/cryst/dope/dope.html"> <b>DOPE</b></a> </td> <td>Degree of Pseudosymmetry Estimation</td> </tr> <tr> <td width="25%"><a class="green2" href="/cryst/tranpath.html"> <b>TRANPATH</b></a></td><td>Transition Paths (Group not subgroup relations) </td> </tr> <tr> <td width="25%"><a class="green2" href="/cgi-bin/cryst/programs/tensor.pl"> <b>TENSOR</b></a></td><td>Symmetry-adapted form of crystal tensors </td> </tr> <tr> <td width="25%"><a class="green2" href="/cgi-bin/cryst/programs/magnetictopo.pl?tipog=gesp"> <b>Check Topological Mat.</b></a></td><td>Check if a given material is topological or not </td> </tr> <tr> <td width="25%"> <b><a class="green2" href="/cgi-bin/cryst/programs/mechanical_rep.pl?tipog=gesp">MECHANICAL REP.</a> </b> </td> <td> Decomposition of the mechanical representation into irreps </td> </tr> <tr> <td width="25%"> <a class="green2" href="/cgi-bin/cryst/programs/get_irreps.pl?tipog=gesp"><b>Get_irreps</b></a> </td> <td> Irreps and order parameters in a space group-subgroup phase transition </td> </tr> </table> <br/><br/></div> <br>    <a name="structuretop"></a> <table align="center" class="darkgreen3"> <tr> <td style="font-size: 20px" align="center"> <a href="#structuretop" name="structure" onclick="document.getElementById('tb6').style.display=(document.getElementById('tb6').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Structure Utilities</font></b></a> </td> </tr> </table> <div id="tb6" style="display:none;"> <table align="center" class="green3"> <tr> <td width="25%"><a class="green3" href="/cryst/celltran.html"> <b>CELLTRAN</b></a> </td> <td> Transform Unit Cells </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/strain.html"> <b>STRAIN</b></a> </td> <td> Strain Tensor Calculation </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/wpassign.html"> <b>WPASSIGN</b></a> </td> <td> Assignment of Wyckoff Positions </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/transtru.html"> <b>TRANSTRU</b></a> </td> <td> Transform structures. </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/setstru.html"> <b>SETSTRU</a> </td> <td> Alternative Settings for a given Crystal Structure </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/equivstru.html"> <b>EQUIVSTRU</b></a> </td> <td> Equivalent Descriptions for a given Crystal Structure </td> <tr> <td width="25%"><a class="green3" href="/cryst/cif2standard.html"> <b>CIF2STANDARD</b></a> </td> <td> Transforms a given CIF (in any setting) to that of standard setting </td> </tr> <tr> <td width="25%"><a class="green3" href="/cgi-bin/cryst/programs/mcif2vesta/index.php"> <b>STRCONVERT</b></a> </td> <td> Convert & Edit Structure Data<br><small>(supports the CIF, mCIF, VESTA, VASP formats -- with magnetic information where available)</small> </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/visualize.html"> <b>VISUALIZE</b></a> </td> <td> Visualize structures using Jmol </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/compstru.html"> <b>COMPSTRU</b></a> </td> <td> Comparison of Crystal Structures with the same Symmetry </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/rel.html"> <b>STRUCTURE RELATIONS</b></a> </td> <td> Evaluation of structure relationships [transformation matrix] between group-subgroup related phases </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/lattice.html"> <b>PSEUDOLATTICE</b></a> </td> <td> Pseudosymmetry of a lattice and compatible supergroups </td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/pseudosymmetry.html"> <b>PSEUDO</b></a> </td> <td>Pseudosymmetry Search in a Structure</td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/dope/dope.html"> <b>DOPE</b></a> </td> <td>Degree of Pseudosymmetry Estimation</td> </tr> <tr> <td width="25%"><a class="green3" href="/cryst/tranpath.html"> <b>TRANPATH</b></a></td><td>Transition Paths (Group not subgroup relations) </td> </tr> </table> <br/><br/></div> <br>    <a name=TQCtop></a> <table align="center" class="darkTQC"> <tr> <td style="font-size: 20px" align="center"> <a href="#TQCtop" name="tqc" onclick="document.getElementById('tb7').style.display=(document.getElementById('tb7').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Topological Quantum Chemistry</font></b></a> </td> </tr> </table> <br> <div id="tb7" style="display:none;"> <table align="center" class="greyTQC"> <tr> <td width="25%"> </td> <td bgcolor=#6d6968 style="font-size: 20px" align="center"> <a href="#TQCtop" name="reps" onclick="document.getElementById('tb7a').style.display=(document.getElementById('tb7a').style.display== 'block')?'none':'block';"><b> <b><font color="#FFFFFF">Non-magnetic</font></b></a> </td> </tr> </table> <div id="tb7a" style="display:none;"> <table align="center" class="greyTQC"> <tr> <td width="25%"> <b><a class="greyTQC" href="/cgi-bin/cryst/programs/bandrep.pl">BANDREP</a></b> </td> <td> Band representations and Elementary Band representations of Double Space Groups </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/topologicalindices.pl?tipog=gesp"> <b>TopologicalIndices</b></a></td><td>Topological indices of double space groups. </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/rsiindices.pl?tipog=gesp"> <b>RSI</b></a></td><td>RSI indices of the space groups (type II magnetic groups) </td> </tr> <tr> <td width="25%"> <b><a class="greyTQC" href="/cgi-bin/cryst/programs/fragileroots.pl">FragileRoots</a> </b> </td> <td> Lists of fragile roots in the space groups </td> </tr> <tr> <td width="25%"><a class="greyTQC" href="/cgi-bin/cryst/programs/magnetictopo.pl?tipog=gesp"> <b>Check Topological Mat</b></a></td><td>Check if a given non-magnetic material is topological or not </td> </tr> </table> </div> <br> <table align="center" class="greyTQC"> <tr> <td width="25%"> </td> <td bgcolor=#6d6968 style="font-size: 20px" align="center"> <a href="#TQCtop" name="reps" onclick="document.getElementById('tb7b').style.display=(document.getElementById('tb7b').style.display== 'block')?'none':'block';"><b> <b><font color="#FFFFFF">Magnetic</font></b></a> </td> </tr> </table> <div id="tb7b" style="display:none;"> <table align="center" class="greyTQC"> <tr> <td width="25%"> <b><a class="greyTQC" href="/cgi-bin/cryst/programs/mbandrep.pl">MBANDREP</a> </b> </td> <td> Band corepresentations and Elementary Band corepresentations of Magnetic Double Space Groups </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/topologicalindices.pl?tipog=gmag"> <b>MagTopologicalIndices</b></a></td><td>Topological indices of a magnetic space groups. </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/rsiindices.pl?tipog=gmag"> <b>MagRSI</b></a></td><td>RSI indices of the magnetic space groups </td> </tr> <tr> <td width="25%"><a class="greyTQC" href="/cgi-bin/cryst/programs/magnetictopo.pl?tipog=gmag"> <b>Check Topological Magnetic Mat.</b> </a></td><td>Identify topological materials in magnetic compounds </td> </tr> </table> <br><br> </div> <br> <table align="center" class="greyTQC"> <tr> <td width="25%"> </td> <td bgcolor=#6d6968 style="font-size: 20px" align="center"> <a href="#TQCtop" name="reps" onclick="document.getElementById('tb7d').style.display=(document.getElementById('tb7d').style.display== 'block')?'none':'block';"><b> <b><font color="#FFFFFF">Non-magnetic Layer Groups</font></b></a> </td> </tr> </table> <div id="tb7d" style="display:none;"> <table align="center" class="greyTQC"> <tr> <td width="25%"> <b><a class="greyTQC" href="/cgi-bin/cryst/programs/layer/lbandrep.pl">LBANDREP</a></b> </td> <td> Band representations and Elementary Band representations of Double Layer Space Groups </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/topologicalindices.pl?tipog=layer"> <b>TopologicalIndices</b></a></td><td>Topological indices of double space groups. </td> </tr> <tr> <td width="30%"><a class="greyTQC" href="/cgi-bin/cryst/programs/rsiindices.pl?tipog=layer"> <b>RSI-layer</b></a></td><td>RSI indices of the Double Layer Space Groups (type II magnetic groups) </td> </tr> <tr> <td width="25%"> <b><a class="greyTQC" href="/cgi-bin/cryst/programs/layer/layertopo.pl">Check Topological Layer Mat.</a></b> </td> <td> Check if a given layered material is topological or not </td> </tr> </table> </div> <br> <table align="center" class="greyTQC"> <tr> <td width="25%"> </td> <td bgcolor=#6d6968 style="font-size: 20px" align="center"> <a href="#TQCtop" name="reps" onclick="document.getElementById('tb7c').style.display=(document.getElementById('tb7c').style.display== 'block')?'none':'block';"><b> <b><font color="#FFFFFF">Phonons</font></b></a> </td> </tr> </table> <div id="tb7c" style="display:none;"> <table align="center" class="greyTQC"> <tr> <td width="25%"><a class="greyTQC" href="/cgi-bin/cryst/programs/magnetictopo.pl?tipog=phonon"> <b>Check Topological Phonons</b> </a></td><td>Identify topological phonon bands in materials </td> </tr> </table> <br><br> </div> <br><br><br> </div>    <a name="subperiodictop"></a> <table align="center" class="darkorange"> <tr> <td style="font-size: 20px" align="center"> <a href="#subperiodictop" name="subperiodic" onclick="document.getElementById('tb8').style.display=(document.getElementById('tb8').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Subperiodic Groups: Layer, Rod and Frieze Groups</font></b></a> </td> </tr> </table> <div id="tb8" style="display:none;"> <table align="center" class="orange"> <tr> <td width="25%"> <a class="orange" href="/subperiodic/get_sub_gen.html"><b>GENPOS</b></a> </td> <td> Generators and General Positions of Subperiodic Groups </td> </tr> <tr> <td width="25%"> <a class="orange" href="/subperiodic/get_sub_wp.html"><b>WYCKPOS</b></a> </td> <td> Wyckoff Positions of Subperiodic Groups </td> </tr> <tr> <td width="25%"><a class="orange" href="/subperiodic/get_sub_maxsub.html"> <b>MAXSUB</b></a> </td> <td> Maximal Subgroups of Subperiodic Groups </td> </tr> <tr> <td width="25%"> <a class="orange" href="/subperiodic/get_layer_kvec.html"><b>LKVEC</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a> </td> <td> The k-vector types and Brillouin zones of Layers Groups </td> </tr> <tr> <td width="25%"> <a class="orange" href="http://webbdcrista2.ehu.es/subperiodic/sections.html"><b>SECTIONS</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a> </td> <td> Identification of Layer Symmetry of Periodic Sections </td> </tr> <tr> <td width="25%"> <a class="orange" href="http://webbdcrista2.ehu.es/subperiodic/penetration_rod_groups.html"><b>RODS</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a> </td> <td> Identification of Penetration Rod Groups </td> </tr> <tr> <td width="25%"> <a class="orange" href="/subperiodic/layer_sitesym.html"><b>LSITESYM</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a> </td> <td> Site-symmetry induced representations of Layer Groups </td> </tr> </table> <br/><br/></div> <br>    <a name=databasetop></a> <table align="center" class="darkred"> <tr> <td style="font-size: 20px" align="center"> <a href="#databasetop" name="database" onclick="document.getElementById('tb9').style.display=(document.getElementById('tb9').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Structure Databases</font></b></a> </td> </tr> </table> <div id="tb9" style="display:none;"> <table align="center" class="red"> <tr> <td width="25%"> <b><a class="red" href ="http://www.cryst.ehu.eus/bincstrdb/">B-IncStrDB</a> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></b> </td> <td> The Bilbao Incommensurate Crystal Structure Database </td> </tr> <tr> <td width="25%"><a class="red" href="http://www.cryst.ehu.es/magndata/"> <b>MAGNDATA</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a></td><td>A collection of magnetic structures with portable cif-type files </td> </tr> <tr> <td width="25%"><a class="red" href="https://www.topologicalquantumchemistry.fr"> <b>Topological Materials</b></a></td><td>The Topological Materials Database </td> </tr> </table> <br><br></div> <br>    <a name="ramantop"></a> <table align="center" class="hotpink"> <tr> <td style="font-size: 20px" align="center"> <a href="#ramantop" name="retrieval" onclick="document.getElementById('tb10').style.display=(document.getElementById('tb10').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Raman and Hyper-Raman scattering</font></b></a> </td> </tr> </table> <div id="tb10" style="display:none;"> <table align="center" class="pink"> <tr> <td width="25%"> <a class="pink" href="/rep/point.html"><b>POINT</b></a> </td> <td> Point Group Tables </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/rep/sam.html">SAM</a></b> </td> <td> Spectral Active Modes (IR, RAMAN and HYPER-RAMAN Selection Rules) </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/transformtensor.html">RAMAN AND HYPER-RAMAN TENSORS</a></b> </td> <td> Raman and Hyper-Raman tensors in any orientation </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/polarizationselrules.html">POLARIZATION SELECTION RULES</a></b> </td> <td> Polarization Selection Rules for Raman and Hyper-Raman Scattering processes </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/raman_domains.html">TWIN DOMAINS</a></b> </td> <td> Raman or Hyper-Raman Tensors for Different Orientation Domains </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/gsrelraman.html">CORRELATIONS POINTS</a></b> </td> <td> Relation between the symmetry modes in a high and low symmetry phases and their activity </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/group_subgroup_raman.html">RAMAN CORRELATIONS SPACE</a></b> </td> <td> IR and Raman activity under a symmetry break for a given structure </td> </tr> <tr> <td width="25%"> <b><a class="pink" href ="/cryst/morphic_effects.html">MORPHIC EFFECTS</a></b> </td> <td> Correlation relations for point groups under the influence of an electric or magnetic field </td> </tr> </table> <br/><br/> </div> <br>    <a name="pointop"></a> <table align ="center" class="darkpurple"> <tr> <td style="font-size: 20px" align="center"> <a href="#pointop" name="point" onclick="document.getElementById('tb11').style.display=(document.getElementById('tb11').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Point-group symmetry</font></b></a> </td> </tr> </table> <div id="tb11" style="display:none;"> <table align="center" class="purple"> <tr> <td width="25%"> <b><a class="purple" href ="/plane/get_point_genpos.html">2D GENPOS</a></b> </td> <td> Generators and general positions of the two-dimensional crystallographic point groups </td> </tr> <tr> <td width="25%"> <b><a class="purple" href ="/plane/get_point_wp.html">2D WYCKPOS</a></b> </td> <td> Wyckoff positions of the two-dimensional crystallographic point groups </td> </tr> <tr> <td width="25%"> <b><a class="purple" href ="/cryst/get_point_genpos.html">3D GENPOS</a></b> </td> <td> Generators and general positions of the three-dimensional crystallographic point groups </td> </tr> <tr> <td width="25%"> <b><a class="purple" href="/cryst/point_wp.html">3D WYCKPOS</a></b> </td> <td> Wyckoff positions of the three-dimensional crystallographic point groups </td> </tr> <tr> <td width="25%"> <a class="purple" href="/rep/point.html"><b>POINT</b></a> </td> <td> Point Group Tables </td> </tr> <tr> <td width="25%"><a class="purple" href="/cryst/mpoint_uni.html"> <b>MPOINT</b></a></td><td>Magnetic Point Group Tables </td> </tr> <tr> <td width="25%"><a class="purple" href="/cgi-bin/cryst/programs/tensor.pl"> <b>TENSOR</b></a></td><td>Symmetry-adapted form of crystal tensors </td> </tr> <tr> <td width="25%"><a class="purple" href="/cgi-bin/cryst/programs/mtensor.pl"> <b>MTENSOR</b> <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a></td><td>Symmetry-adapted form of crystal tensors in magnetic phases </td> </tr> </table> <br><br> </div> <br>    <a name="planetop"></a> <table align="center" class="brightred"> <tr> <td style="font-size: 20px" align="center"> <a href="#planetop" name="plane" onclick="document.getElementById('tb12').style.display=(document.getElementById('tb12').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Plane-group symmetry</font></b></a> </td> </tr> </table> <div id="tb12" style="display:none;"> <table align="center" class="red2"> <tr> <td width="25%"> <b><a class="red2" href ="/plane/get_plane_gen.html">GENPOS</a></b> </td> <td> Generators and General Positions of Plane Groups </td> </tr> <tr> <td width="25%"> <b><a class="red2" href ="/plane/get_plane_wp.html">WYCKPOS</a></b> </td> <td> Wyckoff Positions of Plane Groups </td> </tr> <tr> <td width="25%"> <b><a class="red2" href="/plane/get_plane_maxsub.html">MAXSUB</a></b> </td> <td> Maximal Subgroups of Plane Groups </td> </tr> <tr> <td width="25%"> <b><a class="red2" href="http://webbdcrista2.ehu.es/plane/projections.html">PROJECTIONS <img src="/html/gif/in_development_brown.png" title="Currently in development stage"></a></b> </td> <td> Projections of space space groups </td> </tr> </table> <br><br> </div> <br>    <a name=doubletop></a> <table align="center" class="darkorange"> <tr> <td style="font-size: 20px" align="center"> <a href="#doubletop" name="doublegroups" onclick="document.getElementById('tb13').style.display=(document.getElementById('tb13').style.display== 'block')?'none':'block';"><b> <font color="#FFFFFF">Double point and space groups</font></b></a> </td> </tr> </table> <div id="tb13" style="display:none;"> <table align="center" class="orange"> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/dgenpos.pl">DGENPOS</a></b> </td> <td> General positions of Double Space groups </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/representations_point.pl?tipogrupo=dbg">REPRESENTATIONS DPG</a></b> </td> <td> Irreducible representations of the Double Point Groups </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/representations.pl?tipogrupo=dbg">REPRESENTATIONS DSG</a></b> </td> <td> Irreducible representations of the Double Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/dsitesym.pl">DSITESYM</a></b> </td> <td> Site-symmetry induced representations of Double Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/dcomprel.pl">DCOMPREL</a></b> </td> <td> Compatibility relations between the irreducible representations of Double Space Groups </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/subductionmag.pl?tipog=gesp">DCORREL</a></b> </td> <td> Correlations between the physically irreducible representations of a Double Group-Subgroup pair </td> </tr> <tr> <td width="25%"> <b><a class="red" href="/cgi-bin/cryst/programs/bandrep.pl">BANDREP</a></b> </td> <td> Band representations and Elementary Band representations of Double Space Groups </td> </tr> </table> <br><br></div> <br> <br> </td>  <td width="10%" valign="top"> <table> <small> <tr><td align="center" style='padding-top:25px'><b>Quick access to<br>some tables</b></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/cryst/programs/nph-table">Space Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/plane/programs/nph-plane_getgen?from=index">Plane Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/subperiodic/programs/nph-sub_gen?subtype=layer&from=table">Layer Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/subperiodic/programs/nph-sub_gen?subtype=rod&from=table">Rod Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/subperiodic/programs/nph-sub_gen?subtype=frieze&from=table">Frieze Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/cryst/programs/nph-point_table?type=plane">2D Point Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cgi-bin/cryst/programs/nph-point_table?type=space">3D Point Groups</a></td></tr> <tr><td align="center" style='padding-top:25px'><a href="/cryst/msg_all.php">Magnetic Space Groups</a></td></tr> </small> </table> </td> </tr> </table> </center> <table width="100%"> <tr> <td align="left"> <small> <a href="http://www.cryst.ehu.es">Bilbao Crystallographic Server</a><br/> http://www.cryst.ehu.es </small> </td> <td align="right" rowspan="2"> <small> For comments, please mail to<br/> <a href="mailto:administrador.bcs@ehu.eus"> administrador.bcs@ehu.eus</a> </small> </td> </tr> </table> </body> </html>

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