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Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...
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Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments
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How to describe disordered structures.

Kengo Nishio1, Takehide Miyazaki1

  • 1National Institute of Advanced Industrial Science and Technology (AIST), Central 2, Umezono 1-1-1, Tsukuba, Ibaraki 305-8568, Japan.

Scientific Reports
|April 12, 2016
PubMed
Summary

We developed a new theory and algorithm to describe complex polyhedral tilings found in disordered structures. This method systematically characterizes how polyhedra are arranged, aiding the study of order in various systems.

Area of Science:

  • Physics
  • Materials Science
  • Astronomy

Background:

  • Disordered structures like liquids, glasses, and galaxies are often modeled as polyhedral tilings.
  • Understanding the arrangement of polyhedra is key to characterizing these complex systems.
  • Current methods face challenges in systematically describing intricate polyhedral arrangements.

Purpose of the Study:

  • To develop a systematic theory for describing polyhedral tilings in disordered structures.
  • To create a method for characterizing the complex arrangements of polyhedra.
  • To enable the study of order in disordered systems from short to long range.

Main Methods:

  • Formulated an algorithm to convert individual polyhedra into descriptive codewords.
  • Generalized this codeword approach to represent the arrangements within polyhedral tilings.

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  • Developed a theoretical framework for analyzing polyhedral tiling structures.
  • Main Results:

    • Successfully created a theory to systematically describe how polyhedra are tiled.
    • Developed an algorithm that encodes polyhedral construction from polygons.
    • Established a method to characterize polyhedral arrangements in disordered systems.

    Conclusions:

    • The developed theory provides a systematic way to characterize polyhedral tilings.
    • This approach facilitates the study of order in diverse disordered structures.
    • The codeword method offers a novel strategy for analyzing complex spatial arrangements.