Figure 3
Superspace diagram for (3+1)D superspace with three periods of the modulation function every seven basic cells. A periodic function in superspace is used to describe the seemingly random appearance of tNCS-related atoms in a supercell (along R, where R represents 3D space in the physical world). These displacements are extremely exaggerated as the modulations are typically small compared with the unit cell. An average structure position is given by the vertical dotted line. The qn vector determines the angle between x4 and physical space (asn). The enlarged region for t = 0 to t = 1 shows the reordering of basic cells that occurs in superspace. In the dashed box to the right of the 3/7 reordering is the reordering for the 4/9 supercell. The grey line shows the vector that would need to be used for a 4/9 modulation; although not shown, this line would interect at four periods after nine basic cells, leading to a ninefold supercell. |