International Tables for Crystallography, Symmetry Relations between Space Groups

<p><i>International Tables for Crystallography</i> is the definitive resource and reference work for crystallography and structural science.</p> <p><b>Volume A1</b>, an extension of and supplement to Volume A, presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups. The volume is divided into 3 parts:</p> <p><b>Part 1:</b> An introduction to the theory of space groups at various levels and with many examples.<br /><b>Part 2:</b> A complete listing of all maximal subgroups and minimal supergroups for each plane group and space group. Graphs that illustrate the group-subgroup relations are also presented.<br /><b>Part 3:</b> Lists the relations between the Wyckoff positions of every maximal subgroup of every space group, including the cell transformations and coordinate transformations.</p> <p>New to the second edition of Volume A1:<br />A new chapter on building trees of group-subgroup relations for crystal structures that can be derived from a high-symmetry structure type (aristotype).<br />A new chapter on the Bilbao Crystallographic Server, describing the databases and computer programs that are related to the subjects of the volume.<br />A detailed discussion of the listed supergroup data and a description of a procedure for the complete derivation of the minimal supergroups from the listed (complete) data on maximal subgroups.</p> <p>This volume is invaluable for the study of group-subgroup relations, and is therefore essential for those interested in phase transitions, the systematic compilation of crystal structures, twinning phenomena and related fields of crystallographic research.</p> <p>More information on the series can be found at: <a href=”http://it.iucr.org”>http://it.iucr.org</a></p> <br /><br /> <p> </p>