Zerdane S, Mariette C, McIntyre G J, Lemée-Cailleau M-H, Rabiller P, Guérin L, Ameline J C, Toudic B
Institut de Physique de Rennes, UMR UR1-CNRS 6251, Université de Rennes 1, 35042 Rennes, France.
Australian Nuclear Science and Technology Organisation, New Illawarra Road, Lucas Heights NSW 223, Australia.
Acta Crystallogr B Struct Sci Cryst Eng Mater. 2015 Jun;71(Pt 3):293-9. doi: 10.1107/S2052520615005442. Epub 2015 May 26.
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.
非周期性复合晶体呈现出具有长程有序但无平移对称性的结构。这些材料可被描述为在更高维空间中具有周期性的晶体在三维空间中的交集。在这类材料中，对称性破缺必须被描述为这些晶体学超空间内的结构变化。随着超空间维度的增加，超空间群数量的增多使得更多的结构解成为可能。这在正十九烷-尿素中得到了体现，它在低温下展现出了第五个更高维相。
