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“Strong isotropy” is a geometrically defined symmetry that involves both atomic positions and bonding configurations. It is mathematically proven that only three specific lattices: honeycomb, diamond, and K4, possess this property. In this chapter, we introduce a methodology for rationally constructing these lattices using polyhedral π-conjugated molecules and metal–organic frameworks (MOFs). We also explore the various physical properties that emerge from the synergistic interaction between strong isotropy and molecular degrees of freedom.

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Construction of Molecule-Based Strongly Isotropic Lattices and Their Physical Properties

  • 章节

  • 发表日期：

    2025年

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  • Qi Chen,
  • Yoshiaki Shuku,
  • Rie Suizu,
  • Kunio Awaga

摘要

“Strong isotropy” is a geometrically defined symmetry that involves both atomic positions and bonding configurations. It is mathematically proven that only three specific lattices: honeycomb, diamond, and K4, possess this property. In this chapter, we introduce a methodology for rationally constructing these lattices using polyhedral π-conjugated molecules and metal–organic frameworks (MOFs). We also explore the various physical properties that emerge from the synergistic interaction between strong isotropy and molecular degrees of freedom.