Jm. Igartua et al., SYSTEMATIC SEARCH OF MATERIALS WITH HIGH-TEMPERATURE STRUCTURAL PHASE-TRANSITIONS - APPLICATION TO SPACE GROUP P2(1)2(1)2(1), Physical review. B, Condensed matter, 54(18), 1996, pp. 12744-12752
The existence of a pseudosymmetry in a crystal structure is indicative
of a slightly distorted structure of higher symmetry. If the distorti
on is small enough, it can be expected that the crystal acquires this
more symmetric configuration at a higher temperature after a phase tra
nsition. The aim of the present study is the development of a general
procedure for the Systematic search of pseudosymmetric structures in t
he available structural databases. The first step is the determination
of all relevant supergroups of the space group associated to the know
n structure. This problem is reduced to the generation of minimal supe
rgroups of space groups using the existing data on their maximal subgr
oups and normalizers. The determined pseudosymmetry elements are then
applied to the crystal structure and a quantitative comparison of the
transformed structure acid the original one is performed. Pseudosymmet
ry is detected when the difference is under a certain threshold. As an
example we present the results obtained for inorganic structures with
space group P2(1)2(1)2(1) retrieved from the Inorganic Crystal-Struct
ure Database. A significant number of compounds with known phase trans
itions at high temperatures have been clearly detected as pseudosymmet
ric with differences between the transformed and the original structur
es lower than 1.0 Angstrom. About 20 additional structures were detect
ed with pseudosymmetric features under the same threshold. These compo
unds are considered as having a high probability of exhibiting a phase
transition at higher temperatures.