Structural Analysis of Metallic Glasses with Computational Homology

• Κύριοι συγγραφείς: Hirata, Akihiko (Συγγραφέας), Matsue, Kaname (Συγγραφέας), Chen, Mingwei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2016.
• Σειρά: SpringerBriefs in the Mathematics of Materials, 2
• Θέματα: Mathematics.; Chemometrics.; Category theory (Mathematics).; Homological algebra.; Mathematical physics.; Mathematical Applications in the Physical Sciences.; Category Theory, Homological Algebra.; Math. Applications in Chemistry.

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 properti...

Πίνακας περιεχομένων:

• 1. Introduction
• 2. Metallic glasses
• 2.1. What is glass?
• 2-2. Structure and properties of metallic glasses
• 2-3. Structure determination and its difficulty
• 3. Homology and computational homology
• 3.1. Cubical complex
• 3.2. Cubical homology
• 3.3. Computing homology groups
• 4. Structure analysis of metallic glasses
• 4.1. Advantage of computational homology
• 4.2. Preparation of input data for metallic glasses
• 4.3. Computing procedure for metallic glasses
• 4.4. Interpretation of results obtained by computational homology
• 5. Appendix.