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Chapter Three extends the discussion to the crystal lattice, which immediately introduces translational symmetry to reflect the periodic nature of crystal structures—considered infinite objects. Accordingly, the topics covered include infinite symmetry elements, which lead to crystallographic space groups, their symbols, visualization, and their description in the International Tables for Crystallography, concluding with a detailed discussion of the equivalent positions within space groups.

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Infinite Symmetry Elements and Crystallographic Space Groups

  • 章节

  • 发表日期：

    2025年

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  • Peter Zavalij,
  • Vitalij Pecharsky

摘要

Chapter Three extends the discussion to the crystal lattice, which immediately introduces translational symmetry to reflect the periodic nature of crystal structures—considered infinite objects. Accordingly, the topics covered include infinite symmetry elements, which lead to crystallographic space groups, their symbols, visualization, and their description in the International Tables for Crystallography, concluding with a detailed discussion of the equivalent positions within space groups.