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Neutron Laue and X‐ray diffraction study of a new crystallographic superspace phase in n ‐nonadecane–urea
Author(s) -
Zerdane S.,
Mariette C.,
McIntyre G. J.,
LeméeCailleau M.H.,
Rabiller P.,
Guérin L.,
Ameline J. C.,
Toudic B.
Publication year - 2015
Publication title -
acta crystallographica section b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.604
H-Index - 33
ISSN - 2052-5206
DOI - 10.1107/s2052520615005442
Subject(s) - superspace , aperiodic graph , crystallography , symmetry (geometry) , phase (matter) , translational symmetry , x ray crystallography , dimension (graph theory) , crystal structure , diffraction , chemistry , physics , mathematical physics , mathematics , condensed matter physics , geometry , pure mathematics , quantum mechanics , combinatorics , supersymmetry
Aperiodic composite crystals present long‐range order without translational symmetry. These materials may be described as the intersection in three dimensions of a crystal which is periodic in a higher‐dimensional space. In such materials, symmetry breaking must be described as structural changes within these crystallographic superspaces. The increase in the number of superspace groups with the increase in the dimension of the superspace allows many more structural solutions. This is illustrated in n ‐nonadecane–urea, revealing a fifth higher‐dimensional phase at low temperature.