In this book, we have discussed the local atomic structure of metallic glasses that possess “disordered” amorphous structure without any periodicity. Even for short-range atomic configurations, the structure of metallic glasses exhibits considerable variety since the metallic bonding has fewer chemical constraints than covalent systems such as silica glasses.
KeywordsMetallic Glass Betti Number Geometric Object Atomic Cluster Pair Distribution Function
- 1.H. Edelsbrunner and J. Harer. Computational Topology: An Introduction. American Mathematical Society, 2010.Google Scholar
- 2.M. Gameiro, Y. Hiraoka, S. Izumi, M. Kramar, K. Mischaikow and V. Nanda, A topological measurement of protein compressibility, Japan J. Ind. Appl. Math., 32(2013), 1–17.Google Scholar
- 4.T. Nakamura, Y. Hiraoka, A. Hirata, E.G. Escolar, K. Matsue and Y. Nishiura, Description of Medium-Range Order in Amorphous Structures by Persistent Homology, arXiv:1501.03611
- 5.T. Nakamura, Y. Hiraoka, A. Hirata, E.G. Escolar, and Y. Nishiura, Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass, Nanotechnology 26 (2015), 304001Google Scholar
- 6.Perseus software. http://www.sas.upenn.edu/~vnanda/perseus.
- 7.RedHom: a part of the CAPD project. http://capd.sourceforge.net/capdRedHom/.