Group-subgroup structural phase transitions: A comparison with existing tables

Abstract

We have implemented group-theoretical methods on the computer for the description of possible structural phase transitions. All isotropy groups (corresponding to $\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}$ points of symmetry) for each of the 230 three-dimensional space groups as well as the Landau and Lifshitz conditions for each representation have been obtained. Here we compare our results with previous tables and list the errors and necessary corrections to those tables.