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Symmetry-adapted form of the Structure Factors


Magnetic Space Group: R-3'c' (#167.106) [OG: R-3'c' (#167.4.1337)]



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 2h + k + l /= 3n: 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:   0,0,l
For l = 3: I = 0 F = (0,0,0)
For l = 6: I = 0 F = (0,0,Fz)

Diffraction vector type:   h,h,0

Diffraction vector type:   h,-2*h,0

Diffraction vector type:   2*h,-h,0

Diffraction vector type:   h,-h,l
For h = 3, l = 3: I /= 0 F = (Fx,Fx,0)
For h = 3, l = 6: I /= 0 F = (Fx,-Fx,Fz)

Diffraction vector type:   h,0,l
For h = 1, l = 1: I /= 0 F = (0,Fy,0)
For h = 1, l = 4: I /= 0 F = (2*Fy,Fy,Fz)
For h = 2, l = 2: I /= 0 F = (2*Fy,Fy,Fz)
For h = 2, l = 5: I /= 0 F = (0,Fy,0)
For h = 3, l = 3: I /= 0 F = (0,Fy,0)
For h = 3, l = 6: I /= 0 F = (2*Fy,Fy,Fz)

Diffraction vector type:   0,k,l
For k = 1, l = 2: I /= 0 F = (Fx,2*Fx,Fz)
For k = 1, l = 5: I /= 0 F = (Fx,0,0)
For k = 2, l = 1: I /= 0 F = (Fx,0,0)
For k = 2, l = 4: I /= 0 F = (Fx,2*Fx,Fz)
For k = 3, l = 3: I /= 0 F = (Fx,0,0)
For k = 3, l = 6: I /= 0 F = (Fx,2*Fx,Fz)


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