Nucleation in undercooled melts of pure zirconium and zirconium based alloys [Elektronische Ressource] / von Stefan Klein

Nucleation in undercooledmeltsof pure zirconium and zirconiumbased alloysDISSERTATIONzurErlangungdes Grades”Doktorsder Naturwissenschaften”¨an der Fakultatfur¨ Physikund Astronomie¨der Ruhr-UniversitatBochumvonStefan Kleinaus¨KolnBochum20101. Gutachter: Prof. Dr. Dieter M. Herlach2.: Prof. Dr. Ulrich Kohler¨Tag der mundlichen¨ Prufung:¨ 19. November 2010Contents1. Introduction 12. Undercooledliquids 52.1. Thermodynamic description . . . . . . . . . . . . . . . . . . . . . . 62.2. Thermodynamics of binary systems . . . . . . . . . . . . . . . . . 92.3. Nucleation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122.3.1. Homogeneous nucleation . . . . . . . . . . . . . . . . . . . 122.3.2. Nucleation rate . . . . . . . . . . . . . . . . . . . . . . . . . 142.3.3. Heterogeneous nucleation . . . . . . . . . . . . . . . . . . . 182.3.4. Nucleation of alloys . . . . . . . . . . . . . . . . . . . . . . 202.3.5. Limits of the classical nucleation theory . . . . . . . . . . . 232.4. Solid-liquid interfacial energy . . . . . . . . . . . . . . . . . . . . . 242.4.1. The negentropic model by Spaepen . . . . . . . . . . . . . 252.4.2. Modeling of the solid liquid interfacial energy . . . . . . . . 282.5. Structural ordering in undercooled liquids . . . . . . . . . . . . . . 312.5.1. Short-range order in undercooled liquids . . . . . . . . . . . 312.6. Skripov model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332.7.