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Serial reflection conditions

  • Page ID
    17735
  • The serial reflection conditions are the general reflection conditions due to the presence of screw axes. The resulting conditions apply only to one-dimensional sets of reflections, i.e. reciprocal-lattice rows containing the origin (such as h00, 0k0, 00l). For instance, for a screw axis parallel to [001], the reflection conditions are:

    type of reflection reflection condition screw vector screw axis
    00l l = 2 n c/2 21; 42
    l = 4 n c/4 41; 43
    000l l = 2 n c/2 63
    l = 3 n c/3 41; 31; 32; 62; 64
    l = 6 n c/6 61;65

    The serial reflection conditions are listed in Table 2.2.13.2 of International Tables of Crystallography, Volume A.

    See also

    Section 2.2.13 of International Tables of Crystallography, Volume A