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Fiber diffraction patterns for general unit cells: the cylindrically projected reciprocal lattice
1Whistler Center for Carbohydrate Research and Computational Science, Purdue University, West Lafayette, Indiana 47907-1160, USA.
Abstract:
The positions of reflections on the diffraction pattern from a polycrystalline fiber are described by a cylindrical projection of the reciprocal lattice. The characteristics of the projection depend on the crystal system and the orientation of the fiber axis relative to the unit-cell axes. Expressions describing the cylindrically projected reciprocal lattice for a general triclinic system and any orientation of the fiber axis are derived. Calculations using these expressions illustrate characteristics of the projected reciprocal lattice and aid in the interpretation of fiber diffraction patterns.