Symmetry relationship in electron beam induced phase transitions
In this work we present a symmetry rule for the phase transitions in transition metal oxides driven by DIET of oxygen in an electron microscope. The phase transitions are to a structure with a higher point group symmetry. The new phase with a lower oxygen content is either one with a supergroup symmetry with respect to the original phase, or an amorphous intermediary. If a possible lower oxygen content phase does not have the correct supergroup symmetry, it is not formed. Of this type are the phase transitions in TiO2, MoO3, WO3, V2O5 and Ta2o5 of which the experimental results are listed in the first section of Table 1. It is also found that the point group is conserved during the phase transition if the oxide belongs to the highest groups Oh or D6h, for instance NiO, CoO and ZnO. This symmetry selection rule can therefore be used to predict the route of the phase transition. The selection rule is: