Table of Magnetic Space Group Symbols

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Extinction rules for the group I2_13 (199.12)

Extinctions for general positions (produced by centrings):

(h k l) -> Extinction rule/s: h + k + l = 2n + 1

    For  h = 1, k = 1, l = 1 :      I = 0       F = (0, 0, 0)

    For  h = 1, k = 1, l = 2 :      I ≠ 0       F = (Fx, Fy, Fz)

    For  h = 1, k = 2, l = 1 :      I ≠ 0       F = (Fx, Fy, Fz)

    For  h = 1, k = 2, l = 2 :      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 = 2, l = 1 :      I = 0       F = (0, 0, 0)

    For  h = 2, k = 2, l = 2 :      I ≠ 0       F = (Fx, Fy, Fz)

Extinctions for special positions:

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

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

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

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

   (h -h -h)          ->      Extinction rule/s:    h = 2n

    For  h = 1 :      I ≠ 0       F = (0.3333Fx - 0.3333Fy + 0.3333Fz, 0.3333Fx + 0.3333Fy + 0.3333Fz, -0.3333Fx - 0.3333Fy + 0.3333Fz)

    For  h = 2 :      I = 0       F = (0.3333Fx - 0.3333Fy - 0.3333Fz, -0.3333Fx + 0.3333Fy + 0.3333Fz, -0.3333Fx + 0.3333Fy + 0.3333Fz)

(h -h h) -> Extinction rule/s: h = 2n

    For  h = 1 :      I ≠ 0       F = (0.3333Fx + 0.3333Fy - 0.3333Fz, 0.3333Fx + 0.3333Fy + 0.3333Fz, -0.3333Fx + 0.3333Fy + 0.3333Fz)

    For  h = 2 :      I = 0       F = (0.3333Fx - 0.3333Fy + 0.3333Fz, -0.3333Fx + 0.3333Fy - 0.3333Fz, 0.3333Fx - 0.3333Fy + 0.3333Fz)

(h h -h) -> Extinction rule/s: h = 2n

    For  h = 1 :      I ≠ 0       F = (0.3333Fx - 0.3333Fy - 0.3333Fz, 0.3333Fx + 0.3333Fy + 0.3333Fz, 0.3333Fx - 0.3333Fy + 0.3333Fz)

    For  h = 2 :      I = 0       F = (0.3333Fx + 0.3333Fy - 0.3333Fz, 0.3333Fx + 0.3333Fy - 0.3333Fz, -0.3333Fx - 0.3333Fy + 0.3333Fz)

Go to the operators of 199.12 (I2₁3)
Go to the Wyckoff Positions of 199.12 (I2₁3)

Back to the list of magnetic space groups derived from I2₁3
Back to the list of Magnetic Space Groups

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