Crystal layer group
In mathematics, a layer group is a three-dimensional extension of a wallpaper group, with reflections in the third dimension. It is a space group with a two-dimensional lattice, meaning that it is symmetric over repeats in the two lattice directions. The symmetry group at each lattice point is an axial crystallographic point group with the main axis being perpendicular to the lattice plane. Table of the 80 layer groups, organized by crystal system or lattice type, and by their point groups: WebMaterials Project
Crystal layer group
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The space groups in three dimensions are made from combinations of the 32 crystallographic point groups with the 14 Bravais lattices, each of the latter belonging to one of 7 lattice systems. What this means is that the action of any element of a given space group can be expressed as the action of an element of the appropriate point group followed optionally by a translation. A space group is thus some combination of the translational symmetry of a unit cell (including lattice cente… WebSubperiodic Groups: Layer, Rod and Frieze Groups Structure Databases Raman and Hyper-Raman scattering Point-group symmetry Plane-group symmetry Double point … The information about the structures of the high- and low symmetry phases: Space … The space groups are specified by their sequential number as given in the … If you are using this program in the preparation of a paper, please cite it in … The point group or the space group. The information of the tensors in their default … Alternatively, it gives the set of elementary BRs of a Double Space Group. In both … The space group of the paramagnetic phase (parent group) and the observed … The space groups are specified by their number as given in the International … This program lets the manipulation of structure data given in various file …
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