Thermodynamic modeling of the undercooled liquid in the Cu–Zr system

Thermodynamic Modeling of the Undercooled Liquid in the Ni–Zr System

“…In fact, many researchers have reported that the short range ordering exists at low temperatures, in particular, and results in a stable undercooled liquid. [11][12][13][14] Recently, the authors have shown in the Cu-Zr system 15) that these thermodynamic data at low temperatures are required for an accurate estimation of the driving forces and critical cooling rates. Since the Ni-Zr system is a compound-forming system, the low temperature data should be taken into account for the estimation of these indicators of GFA of alloys as well as the Cu-Zr system.…”

High-Accuracy X-Ray Diffraction Analysis of Phase Evolution Sequence During Devitrification of Cu50Zr50 Metallic Glass

“…Of course, reliable prediction and control of phase selection and structural dynamics requires quantification of system thermodynamics as well as an understanding of the kinetic mechanisms involved in solidification/devitrification processes, and advances in the thermodynamics and structure of Cu-Zr liquids, glasses, and crystalline phases recently have been reported. [11][12][13] Indeed, with numerous stable and metastable crystalline phases, this system offers an immense spectrum of potentially accessible structures and properties and has attracted much attention related to BMGs, [14][15][16] crystallization structures, [17][18][19] and ACC materials. [20,21] A review of prior thermodynamic treatments for the Cu-Zr system was reported recently, and the assessed phase diagram is shown in Figure 1.…”

Assessment of the ternary Fe–Si–B phase diagram

“…Only in quaternary Fe-Al-Si-B alloys glass transition is detectable and the heat capacity for the Fe 65 Al 7 B 18 Si 10 composition has been measured [44]. A value of C p Liquid of 43.4 J/mol °C has been obtained at 572 °C in the undercooling regime; the calculated value of C p liquid for the Fe 72 B 18 Si 10 alloy at the same temperature in this work is 49.9 J/mol °C, of the same order of the experimental value. Since in most alloys crystallisation occurs as a two steps process to a bcc solid solution first and a compound at higher temperature, the use of the heat of crystallization in the assessment required special care.…”

“…Shao first proposed to employ such formalism as a tool to deal with the amorphous phase in an assessment process and applied it successfully to several systems [21][22]. Also Abe [18] and Palumbo [23] described the glass transition with this model, in association with, respectively, the associate solution model and an excess heat capacity parameter for the undercooled liquid.…”

“…In the temperature range from the glass transition temperature up to the melting point glass-formers display an excess heat capacity related to ordering at short range in the undercooling regime (expressed by both the associate solution model and the two state model [18][19]). Palumbo [2] proposed to model the glass transition as a second order one; this can be justified by the consideration that the behavior of the extensive and differential thermodynamic properties during it agree with Ehrenfest's classification of thermodynamic transitions [20].…”