Nucleation time-lag from nucleation and growth experiments in deeply undercooled glass-forming liquids

2008 ◽  
Vol 354 (32) ◽  
pp. 3785-3792 ◽  
Author(s):  
Vladimir M. Fokin ◽  
Nikolay S. Yuritsyn ◽  
Edgar D. Zanotto ◽  
Jürn W.P. Schmelzer ◽  
Aluisio A. Cabral
1983 ◽  
Vol 28 ◽  
Author(s):  
M. Von Allmen ◽  
K. Affolter

ABSTRACTGlass formation by ns and ps laser quenching is investigated for the systems Au-Ti, Co-Ti, Cr-Ti and Zr-Ti. Glassy phases are found in all but the last system. These results (as well as earlier ones) show little correlation with published rules to predict glass forming ability, but are consistent with the kinetic analysis presented. Simple Physical parameters related to glass forming ability are discussed. Comparison with results for Cr-Ti allows a determination of the nucleation time-lag.


Current methods of interpreting critical supercooling are discussed. In the method of Turnbull it is assumed that the experimental observation time matches the reciprocal of the steady-state nucleation frequency. This assumption is shown to be incompatible, for certain types of experiment, with the nucleation time lag predicted by the theory of part II. An alternative criterion of freezing which avoids this difficulty is that under the conditions of a threshold experiment the observation time is comparable with the nucleation time lag. This criterion may be used in conjunction with the theory of part II to interpret critical supercoolings without making separate assumptions about nucleation frequencies. Threshold nucleation rates, sizes of crystal nuclei, and liquid-solid interfacial free energies for alkali halides are calculated from the supercooling data of part I. Data for nuclei are examined in relation to the properties of the liquid and solid compounds in bulk form. Certain outstanding problems in the interpretation of results obtained in this and other studies are discussed with respect to present nucleation theory.


A modified form of Turnbull & Fisher’s equation for the rate of nueleation in pure liquids is derived from the more general solution of Frenkel to the non-equilibrium steady -state kinetic problem . Recent developments in relaxation theory, based on the Zeldovich— Frenkel formulation of the time-dependent flow of embryos over the size variable g , show that under certain conditions the nucleation time lag may be exceedingly sensitive to the initial state of the condensing system. Frisch’s integral for the nucleation time lag is evaluated for two initial distributions of embryo size. The results, which are of general form, are used to derive expressions for the time lag in supercooled liquids. Methods are given for estimating certain parameters required in the computation of time lags in supercooled liquids.


1986 ◽  
Vol 1 (1) ◽  
pp. 27-37 ◽  
Author(s):  
R. J. Wallace ◽  
E. N. Kaufmann

The well-known glass-forming alloy Fe40Ni40P14B6 was surface melted by an electron beam traversing its surface at various velocities in an identical manner for both the crystalline and the amorphous state of the alloy. Cross-sectional optical metallography and numerical heat-flow analysis were used to show that (1) crystallization of the amorphous state does not occur during treatment around or in the regrown layer at the highest processing speeds, a behavior consistent with an extrapolation of isothermal nucleation and growth measurements; (2) initial resolidification of the molten layer is always crystalline when the melt pool contacts underlying crystalline material where nucleation is immediate; and (3) solidification front velocities greater than 5 ± 0. 5 cm/s exceed the maximum kinetic limit for growth of the crystalline phase and amorphous layers are formed, a result consistent with the eutectic nature of the alloy. Inconsistencies with the work of previous investigators of this system are discussed.


1998 ◽  
Vol 554 ◽  
Author(s):  
A. R. Yavari ◽  
A. Inoue

AbstractAtomic volume effects in amorphous alloys obtained by rapid solidification and in bulk glasses are briefly reviewed. It is recalled that at high undercoolings, the release at the growth fronts, of the volume corresponding to the reduction of the molar volume upon solidification can sharply accelerate crystal growth in the melt through viscosity reduction. A method is then proposed for estimating the volume of mixing ΔVmix which is negative for elemental additions to glass-forming liquid alloy. It is argued that negative ΔVmix reduces atomic mobility in easy glass-forming alloys thus allowing the suppression during cooling, of nucleation and growth of crystallites. The ZrCuNi system is used as an example for applying this reasoning. It is shown that Al or Ti addition to ZrNiCu alloys lead to strongly negative ΔVmix and expected sharp drops in diffusion-controlled crystal growth kinetics in the melt.


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