Does anybody know a phase which crystallizes in the same trigonal point group but in space groups with different alignments of the symmetry elements, e.g. in 312 or 321, or 3m1 or 31m, 3c1 or 31c etc.?
In case there is no example, is there any paper which describes the reason why this is impossible?
If I have properly understood the question, a ggod example is Alpha-quartz which crystallizes either in P3sub12sub1 or P3sub22sub1. The same is for phengite 3T: see European Journal of Mineralogy
1994; 6:489-496
I did not mean 3_2 2 1 and 3_1 2 1 but e.g. 3_2 2 1 and 3_2 1 2, i.e. the only the symmetry elements perpendicular to 3_2 are rotated by 30 degrees around [001] whereas the symmetry along c does not change.
Thanks for phengite 3T. I will try to get the paper.
If you let me have your email address I can send copy of phengite 3T. I do not know examples of what are you looking for but it is my feeling that the operation is not possible.
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