A crystal structure specifies the chemical species and spatial arrangement of the chemical atoms or ions in a crystal. For an ideal periodic structure, separate two ingredients: a Bravais lattice specifies the translations that repeat the arrangement, and an atomic basis of a crystal specifies the chemical motif repeated at every lattice point. The outward shape, or crystal habit, is a different description: the internal arrangement is what this article describes.
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Karolin Luger is a prominent figure in the field of mathematics, particularly known for her work in the area of algebraic geometry and representation theory. She is recognized for her contributions to the understanding of the mathematical concepts involved in these fields.