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Identification of Layer Symmetry of Periodic Sections


Identify layer group symmetry
The program SECTIONS identifies, for a given space group, the full set of possible layer symmetries of periodic sections defined by their common normal vector and located within the unit cell. The program accepts as input a space group given in any arbitrary setting. The results are expressed in both the given basis of the input space group and the standard setting of the sectional groups.

  • OPTION A: Space group number
    Please, enter the sequential number of group as given in the International Tables for Crystallography, Vol. A or

  • OPTION B: Symmetry operations
    Enter the generators of the Space Group in the box below, given in any basis of the lattice, as in the example:

    x+1/2,y+1/2,z
    -y+1/3,x+1/4,z+1/4


    Assumed lattice translations:
    x + 1 , y , z
    x , y + 1 , z
    x , y , z + 1





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