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Integral lattices.

A Janner1

  • 1Institute for Theoretical Physics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen The Netherlands. alo@sci.kun.nl

Acta Crystallographica. Section A, Foundations of Crystallography
|February 18, 2004
PubMed
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Integral lattices are found in inorganic compounds and biomacromolecules, suggesting a natural tendency to simplify structural parameters. This research explores the prevalence and implications of these ordered structures.

Area of Science:

  • Crystallography
  • Structural Biology
  • Materials Science

Background:

  • Recent studies identified sharp peaks in the frequency distribution of inorganic compounds.
  • These peaks were observed in tetrahedral and hexagonal-rhombohedral structures.

Purpose of the Study:

  • To investigate the nature of sharp peaks in the frequency distribution of inorganic compounds.
  • To explore the occurrence of integral lattices in both inorganic and biological systems.
  • To propose a general principle governing structural complexity in nature.

Main Methods:

  • Analysis of crystallographic data for inorganic compounds.
  • Examination of structural data for biomacromolecules, specifically RNA quadruplexes.
  • Theoretical consideration of metric tensors and lattice properties.

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Main Results:

  • Sharp peaks in inorganic compound frequency distributions correspond to integral lattices.
  • Integral lattices are also present in axial-symmetric biomacromolecules like RNA quadruplexes.
  • A conjecture is proposed regarding nature's tendency to minimize structural free parameters.

Conclusions:

  • Integral lattices represent a fundamental structural motif in both inorganic and biological matter.
  • The prevalence of integral lattices supports the hypothesis of a natural drive towards structural simplification.
  • Further research is warranted to explore the universality of this principle across diverse natural systems.