Structural Analysis of Metallic Glasses with Computational Homology

  • Akihiko Hirata
  • Kaname Matsue
  • Mingwei Chen

Part of the SpringerBriefs in the Mathematics of Materials book series (BRIEFSMAMA, volume 2)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Akihiko Hirata, Kaname Matsue, Mingwei Chen
    Pages 1-7
  3. Akihiko Hirata, Kaname Matsue, Mingwei Chen
    Pages 9-14
  4. Akihiko Hirata, Kaname Matsue, Mingwei Chen
    Pages 15-36
  5. Akihiko Hirata, Kaname Matsue, Mingwei Chen
    Pages 37-46
  6. Akihiko Hirata, Kaname Matsue, Mingwei Chen
    Pages 47-50
  7. Back Matter
    Pages 51-66

About this book


This book introduces the application of computational homology for structural analysis of metallic glasses. Metallic glasses, relatively new materials in the field of metals, are the next-generation structural and functional materials owing to their excellent properties. To understand their properties and to develop novel metallic glass materials, it is necessary to uncover their atomic structures which have no periodicity, unlike crystals. Although many experimental and simulation studies have been performed to reveal the structures, it is extremely difficult to perceive a relationship between structures and properties without an appropriate point of view, or language. The purpose here is to show how a new approach using computational homology gives a useful insight into the interpretation of atomic structures. It is noted that computational homology has rapidly developed and is now widely applied for various data analyses. The book begins with a brief basic survey of metallic glasses and computational homology, then goes on to the detailed procedures and interpretation of computational homology analysis for metallic glasses. Understandable and readable information for both materials scientists and mathematicians is also provided.


Metallic glass Structure analysis Local atomic order Computational homology Cubical sets

Authors and affiliations

  • Akihiko Hirata
    • 1
  • Kaname Matsue
    • 2
  • Mingwei Chen
    • 3
  1. 1.Advanced Institute for Materials ReTohoku UniversitySendaiJapan
  2. 2.The Institute of Statistical MathematicsTachikawa, TokyoJapan
  3. 3.Institute for Material ResearchTohoku UniversitySendaiJapan

Bibliographic information