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Symmetry-adapted form of the Structure Factors


Magnetic Space Group: Ia-3d' (#230.148) [OG: Ia-3d' (#230.4.1650)]



Values of h, k, l:  h integer, k integer, l integer


Structure factors for general reflections (produced by centrings):


Diffraction vector type:   h,k,l
For  h + k + l = 2n + 1:      I = 0       F = (0,0,0)
Elsewhere:      I /= 0       F = (Fx,Fy,Fz)


Structure factors for special reflections:

Those diffraction vector types which are fully absent due to the general rule are not listed


Diffraction vector type:   h,0,0
For h = 2:      I = 0       F = (0,0,0)
For h = 4:      I = 0       F = (0,0,0)

Diffraction vector type:   0,k,0
For k = 2:      I = 0       F = (0,0,0)
For k = 4:      I = 0       F = (0,0,0)

Diffraction vector type:   0,0,l
For l = 2:      I = 0       F = (0,0,0)
For l = 4:      I = 0       F = (0,0,0)

Diffraction vector type:   h,h,h
For h = 2:      I = 0       F = (0,0,0)
For h = 4:      I = 0       F = (Fx,Fx,Fx)

Diffraction vector type:   h,h,-h
For h = 2:      I = 0       F = (0,0,0)
For h = 4:      I = 0       F = (Fx,Fx,-Fx)

Diffraction vector type:   h,-h,-h
For h = 2:      I = 0       F = (0,0,0)
For h = 4:      I = 0       F = (Fx,-Fx,-Fx)

Diffraction vector type:   h,-h,h
For h = 2:      I = 0       F = (0,0,0)
For h = 4:      I = 0       F = (Fx,-Fx,Fx)

Diffraction vector type:   0,k,l
For k = 1, l = 1:      I /= 0       F = (0,Fy,Fz)
For k = 2, l = 2:      I /= 0       F = (Fx,0,0)

Diffraction vector type:   h,0,l
For h = 1, l = 1:      I /= 0       F = (Fx,0,Fz)
For h = 2, l = 2:      I /= 0       F = (0,Fy,0)

Diffraction vector type:   h,k,0
For h = 1, k = 1:      I /= 0       F = (Fx,Fy,0)
For h = 2, k = 2:      I /= 0       F = (0,0,Fz)

Diffraction vector type:   h,-h,0
For h = 2:      I /= 0       F = (0,0,Fz)

Diffraction vector type:   h,h,0
For h = 2:      I /= 0       F = (0,0,Fz)

Diffraction vector type:   0,k,-k
For k = 2:      I /= 0       F = (Fx,0,0)

Diffraction vector type:   0,k,k
For k = 2:      I /= 0       F = (Fx,0,0)

Diffraction vector type:   h,0,-h
For h = 2:      I /= 0       F = (0,Fy,0)

Diffraction vector type:   h,0,h
For h = 2:      I /= 0       F = (0,Fy,0)

Diffraction vector type:   h,h,l
For h = 2, l = 2:      I /= 0       F = (Fx,-Fx,0)
For h = 2, l = 4:      I /= 0       F = (Fx,Fx,Fz)

Diffraction vector type:   h,-h,l
For h = 2, l = 2:      I /= 0       F = (Fx,Fx,0)
For h = 2, l = 4:      I /= 0       F = (Fx,-Fx,Fz)

Diffraction vector type:   h,k,k
For h = 2, k = 2:      I /= 0       F = (0,Fy,-Fy)
For h = 4, k = 2:      I /= 0       F = (Fx,Fz,Fz)

Diffraction vector type:   h,k,-k
For h = 2, k = 2:      I /= 0       F = (0,Fy,Fy)
For h = 4, k = 2:      I /= 0       F = (Fx,-Fz,Fz)

Diffraction vector type:   h,k,h
For h = 2, k = 2:      I /= 0       F = (Fx,0,-Fx)
For h = 2, k = 4:      I /= 0       F = (Fx,Fy,Fx)

Diffraction vector type:   h,k,-h
For h = 2, k = 2:      I /= 0       F = (Fx,0,Fx)
For h = 2, k = 4:      I /= 0       F = (Fx,Fy,-Fx)


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