Advertisement

Introduction

  • Akihiko Hirata
  • Kaname Matsue
  • Mingwei Chen
Chapter
Part of the SpringerBriefs in the Mathematics of Materials book series (BRIEFSMAMA, volume 2)

Abstract

Amorphous structures do not have any of the repeated structural units commonly found in crystals. It is hard to grasp the aperiodic disordered structures without the appropriate tools. Herein, we introduce a topological viewpoint to provide knowledge of the spatial distribution of the constituent atoms.

Keywords

Metallic Glass Amorphous Structure Atomic Configuration Constituent Atom Atomic Correlation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    C. Kittel. Introduction to Solid State Physics. Wiley, 2005.Google Scholar
  2. 2.
    W.A. Harrison. Solid State Theory. Courier Corporation, 1970.Google Scholar
  3. 3.
    S.R. Elliott. Physics of Amorphous Materials, 2nd ed. Longman, 1990.Google Scholar
  4. 4.
    R. Zallen. The Physics of Amorphous Solids. Wiley Online Library, 1983.Google Scholar
  5. 5.
    A. Guinier. X-ray Diffraction in Crystals, Imperfect Crystals, and Amorphous Bodies. Courier Corporation, 1994.Google Scholar
  6. 6.
    T. Egami. Atomic level stresses. Progress in Materials Science, 56:637–653, 2011.Google Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Advanced Institute for Materials ResearchTohoku UniversitySendaiJapan
  2. 2.The Institute of Statistical MathematicsTachikawaJapan

Personalised recommendations