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## Symmetry-adapted form of the Structure Factors

### Magnetic Space Group: P-3m'1 (#164.89) [OG: P-3m'1 (#164.5.1319)]

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

Diffraction vector type:   2*h,-h,0
`For h = 1:      I /= 0       F = (Fx,2*Fx,Fz)`
`For h = 2:      I /= 0       F = (Fx,2*Fx,Fz)`

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

Diffraction vector type:   h,-2*h,0
`For h = 1:      I /= 0       F = (2*Fy,Fy,Fz)`
`For h = 2:      I /= 0       F = (2*Fy,Fy,Fz)`

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

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

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

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