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06-O-02 - What are circular crystals?

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Marlow,  Frank
Research Group Marlow, Max-Planck-Institut für Kohlenforschung, Max Planck Society;

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Marlow, F. (2001). 06-O-02 - What are circular crystals? Studies in Surface Science and Catalysis, 135, 134. doi:10.1016/S0167-2991(01)81198-8.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0024-2878-C
Abstract
This chapter explores circular crystals. Translational symmetry is considered a prerequisite for a perfect long-range organization of matter. This is realized for crystals in all three dimensions. However, there is material architecture with perfect long-range three-dimensional order and no translational symmetry, such as mesostructured silica fibers consisting of channels wound around the fiber axis, thereby forming an array with hexagonal short-range order. The whole structure is controlled by a singularity, which is the fiber axis. In reciprocal space, the fibers are represented by a system of rings known for crystals. A physical consequence of this is unusual X-ray diffraction properties. Becuase of the new reciprocal space representation, the circular architecture has to be regarded as a qualitatively new form of solid-state organization.