Abstract
The formulae for Fourier and inverse Fourier transforms have been generalized to take into account crystal symmetry using group theory. When the Fourier components (structure factors) are restricted to a given reciprocal plane, the two-dimensional inverse Fourier transform yields the projection of the charge/spin density in the unit cell in direct space, parallel to the axis normal to that plane. The formulae above are further generalized to this two-dimensional case. The latter case is central to a polarized neutron diffraction data analysis using maximum entropy.
Keywords
Fourier transformSymmetry (geometry)InversePhysicsMathematicsMathematical analysisGeometry
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Publication Info
- Year
- 1991
- Type
- article
- Volume
- 47
- Issue
- 3
- Pages
- 293-295
- Citations
- 7
- Access
- Closed
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Cite This
R. J. Papoular
(1991).
Structure factors, projections, inverse Fourier transforms and crystal symmetry.
Acta Crystallographica Section A Foundations of Crystallography
, 47
(3)
, 293-295.
https://doi.org/10.1107/s0108767391000399
Identifiers
- DOI
- 10.1107/s0108767391000399