Slow Motion in a Metallic Liquid

Meyer, Andreas; Wuttke, Joachim; Petry, W.; Randl, O. G.; Schober, H.

doi:10.1103/physrevlett.80.4454

Cited by 95 publications

(60 citation statements)

References 38 publications

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“…Fig. 4 shows the boson peak at room temperature determined from inelastic neutron scattering data 16,17 in units of the Debye density of states (at room temperature 18 , ω D = 28.6 meV).…”

Section: Comparison To Experimentsmentioning

confidence: 99%

“…The best candidate for a check of these ideas is the metallic glass Vit-4, Zr 46.8 Ti 8.2 Cu 7.5 Ni 10 Be 27.5 , a glass with an exceptionally low critical cooling rate 14 , for which every relevant quantity has been measured 15,16,17,18 , though the mechanical 18 , density 15 and neutron 16,17 data were all taken for slightly different compositions. At the glass temperature T g = 615 K, the shear modulus is 35 GPa, the bulk modulus 112 GPa 18 and the atomic volume is 0.017 nm 3 , so ω D = 27.5 meV.…”

Section: Comparison To Experimentsmentioning

confidence: 99%

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An atomic mechanism for the boson peak in metallic glasses

Buchenau

Schober

2008

Philosophical Magazine

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The boson peak in metallic glasses is modeled in terms of local structural shear rearrangements. Using Eshelby's solution of the corresponding elasticity theory problem (J. D. Eshelby, Proc. Roy. Soc. A241, 376 (1957)), one can calculate the saddle point energy of such a structural rearrangement. The neighbourhood of the saddle point gives rise to soft resonant vibrational modes. One can calculate their density, their kinetic energy, their fourth order potential term and their coupling to longitudinal and transverse sound waves.

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“…Fig. 4 shows the boson peak at room temperature determined from inelastic neutron scattering data 16,17 in units of the Debye density of states (at room temperature 18 , ω D = 28.6 meV).…”

Section: Comparison To Experimentsmentioning

confidence: 99%

Section: Comparison To Experimentsmentioning

confidence: 99%

An atomic mechanism for the boson peak in metallic glasses

Buchenau

Schober

2008

Philosophical Magazine

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“…Further predictions are made for the critical temperature dependence of h x and t σ . Many neutron scattering experiments [3,[14][15][16][17][18][19][20][21][22] have been undertaken to test these predictions. However, the asymptotic law (11) holds only in a restricted frequency range, and therefore it cannot be used as input to a multiple-scattering calculation.…”

Section: Liquid Modelmentioning

confidence: 99%

Multiple-scattering effects on smooth neutron-scattering spectra

Wuttke

2000

Phys. Rev. E

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Phys. Rev. E (23feb00), resubmitted (25apr00), cond-mat/0002363) Elastic and inelastic incoherent neutron scattering experiments are simulated for simple models: a rigid solid (as used for normalisation), a glass (with a smooth distribution of harmonic vibrations), and a viscous liquid (described by schematic mode-coupling equations). As long as the spectral distribution of the input scattering law does not vary with wavenumber, it is only weakly distorted by multiple scattering. The wavenumber dependence of the scattering intensity suffers much more.

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“…In contrast, R c of recently discovered multicomponent bulk metallic glass-forming alloys 2,3 is of the order of a few K/s. This excellent glass-forming ability enables investigations of crystallization, 4,5 viscosity, 6 and diffusion 7,8 as well as relaxation 9 in the supercooled liquid region. The critical cooling rate of Zr 41 Ti 14 Cu 12 Ni 10 Be 23 ͑Vit 1͒, studied in this work, is about 1 K/s.…”

mentioning

confidence: 99%

Pronounced asymmetry in the crystallization behavior during constant heating and cooling of a bulk metallic glass-forming liquid

et al. 1999

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The crystallization behavior of the supercooled bulk metallic glass-forming Zr 41 Ti 14 Cu 12 Ni 10 Be 23 liquid was studied with different heating and cooling rates. A rate of about 1 K/s is sufficient to suppress crystallization of the melt upon cooling from the equilibrium liquid. Upon heating, in contrast, a rate of about 200 K/s is necessary to avoid crystallization. The difference between the critical heating and cooling rate is discussed with respect to diffusion-limited growth taking classical nucleation into account. The calculated asymmetry of the critical heating and cooling rate can be explained by the fact that nuclei formed during cooling and heating are exposed to different growth rates. ͓S0163-1829͑99͒07441-X͔The ability to form a glass by cooling from the equilibrium liquid is equivalent to suppressing crystallization within the supercooled ͑undercooled͒ liquid. One of the central quantities in theoretical and experimental studies of glass formation is the critical cooling rate R c to bypass crystallization upon cooling from the stable melt. 1 Critical cooling rates of monoatomic metallic systems are typically of the order of 10 12 K/s. In contrast, R c of recently discovered multicomponent bulk metallic glass-forming alloys 2,3 is of the order of a few K/s. This excellent glass-forming ability enables investigations of crystallization, 4,5 viscosity, 6 and diffusion 7,8 as well as relaxation 9 in the supercooled liquid region. The critical cooling rate of Zr 41 Ti 14 Cu 12 Ni 10 Be 23 ͑Vit 1͒, studied in this work, is about 1 K/s. 10 In contrast, crystallization of amorphous Vit 1, previously investigated by differential scanning calorimetry ͑DSC͒ upon heating 11 could not be avoided up to the maximum heating rate of the DSC of 5 K/s and the critical heating rate has not been determined yet. The critical heating rate R h , the counterpart of the critical cooling rate upon heating, is the lowest rate an amorphous sample can be heated through the entire supercooled liquid region without crystallization.In this paper, the onset temperature of crystallization is investigated during cooling from the stable melt and heating amorphous Vit 1 as a function of cooling and heating rate, respectively. For this purpose we designed an experimental setup that permits maximum heating rates of 350 K/s and maximum cooling rates of 40 K/s. We will show that an asymmetry of R c and R h results from the fact that nuclei formed during cooling and heating are exposed to different growth rates, which is likely to be a general feature for metallic systems.The investigations were performed in high-purity graphite crucibles since heterogeneous surface nucleation at the container walls does not effect the crystallization of the bulk Vit 1 sample. 12 The samples were mounted into the graphite crucibles and inductively heated in vacuum of 10 Ϫ6 mbar or in a titanium-gettered argon atmosphere. The temperature was measured using a thermocouple ͑type K͒ with an accuracy better than Ϯ2 K. Details of the experimental setup can b...

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Slow Motion in a Metallic Liquid

Cited by 95 publications

References 38 publications

An atomic mechanism for the boson peak in metallic glasses

An atomic mechanism for the boson peak in metallic glasses

Multiple-scattering effects on smooth neutron-scattering spectra

Pronounced asymmetry in the crystallization behavior during constant heating and cooling of a bulk metallic glass-forming liquid

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