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Extinction rules for the group R-3'm' (166.100)




Extinctions for general position (produced by centrings):

   (h k l)          ->      Extinction rule/s:    2h + k + l ≠ 3n
    For  h = 1, k = 1, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 1, k = 1, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 1, k = 1, l = 3 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 1, k = 2, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 1, k = 2, l = 2 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 1, k = 2, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 1, k = 3, l = 1 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 1, k = 3, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 1, k = 3, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 1, l = 1 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 2, k = 1, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 1, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 2, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 2, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 2, l = 3 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 2, k = 3, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 2, k = 3, l = 2 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 2, k = 3, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 1, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 1, l = 2 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 3, k = 1, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 2, l = 1 :      I ≠ 0       F = (Fx, Fy, Fz)
    For  h = 3, k = 2, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 2, l = 3 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 3, l = 1 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 3, l = 2 :      I = 0       F = (0, 0, 0)
    For  h = 3, k = 3, l = 3 :      I ≠ 0       F = (Fx, Fy, Fz)


Extinctions for special positions:

   (0 0 l)          ->      Extinction Rule/s: l any

   (2*h -h 0)          ->      No extra extinctions found

   (h h 0)          ->      Extinction Rule/s: h any

   (h -2*h 0)          ->      No extra extinctions found

   (0 k l)          ->      No extra extinctions found

   (h -h l)          ->      No extra extinctions found

   (h 0 l)          ->      No extra extinctions found





Go to the operators of 166.100 (R-3'm')
Go to the Wyckoff Positions of 166.100 (R-3'm')



Back to the list of magnetic space groups derived from R-3m
Back to the list of Magnetic Space Groups

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