Analytic model of the shear modulus at all temperatures and densities

Burakovsky, Leonid; Greeff, C. W.; Preston, Dean L.

doi:10.1103/physrevb.67.094107

Cited by 98 publications

(69 citation statements)

References 77 publications

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“…This relation is in fair agreement with the Murnaghan equation, broadly used is earth sciences (Murnaghan, 1944;Poirier, 2000;Skripov and Faizulin, 2006) 1/3)), i.e., it differs from Burakovsky (Burakovsky et al, 2003) predictions. Kumari and Dass (Kumari and Dass, 1988;Dass, 1995) also applied the framework of the Lindemann criterion (Lindemann, 1910) and workout the relation originally focused on the pressure evolution of the melting temperature, focusing on alkali metals:…”

Section: Parameterization Of the Pressure Evolution Of Melting And Glsupporting

confidence: 65%

“…9, most often recalled as the "Kechin equation, " became the key tool for describing experimental data associated with melting curve maximum (Drozd-Rzoska, 2005;Skripov and Faizulin, 2006;Drozd-Rzoska et al, 2007a;Rzoska and Mazur, 2007;Rzoska et al, 2010). Regarding the meaning of parameters in Eqs 6-9 one can generalize the reasoning of Burakovsky et al (Burakowsky et al, 2000;Burakovsky et al, 2003), who considered the volume-related compression factor (modulus):…”

Section: Parameterization Of the Pressure Evolution Of Melting And Glmentioning

confidence: 99%

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New Challenges for the Pressure Evolution of the Glass Temperature

Rzoska

2017

Front. Mater.

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The ways of portrayal of the pressure evolution of the glass temperature (T g ) beyond the dominated Simon-Glatzel-like pattern are discussed. This includes the possible common description of T g (P) dependences in systems described by dT g /dP > 0 and dT g /dP < 0. The latter can be associated with the maximum of T g (P) curve hidden in the negative pressures domain. The issue of volume and density changes along the vitrification curve is also discussed. Finally, the universal pattern of vitrification associated with the crossover from the low density (isotropic stretching) to the high density (isotropic compression) systems is proposed. Hypothetically, it may obey any glass former, from molecular liquids to colloids.

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Section: Parameterization Of the Pressure Evolution Of Melting And Glsupporting

confidence: 65%

Section: Parameterization Of the Pressure Evolution Of Melting And Glmentioning

confidence: 99%

New Challenges for the Pressure Evolution of the Glass Temperature

Rzoska

2017

Front. Mater.

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“…For example, for bulk Cu, a temperature increase of 200°C leads to a 20 GPa decrease in modulus. 24 Elastic modulus temperature data for bulk Cu and Au 25,26 is also presented in Table I, for comparison. Although not originally expected, the thermal drift-corrected elastic-modulus data in Table I shows that the temperature effect is more pronounced for nanocrystalline Au and Cu thin films, compared to the bulk Au and Cu.…”

Section: Discussionmentioning

confidence: 99%

Nanoindentation of Au and Pt/Cu thin films at elevated temperatures

2004

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This paper describes the nanoindentation technique for measuring sputter-deposited Au and Cu thin films' mechanical properties at elevated temperatures up to 130°C. A thin, 5-nm Pt layer was deposited onto the Cu film to prevent its oxidation during testing. Nanoindentation was then used to measure elastic modulus and hardness as a function of temperature. These tests showed that elastic modulus and hardness decreased as the test temperature increased from 20 to 130°C. Cu films exhibited higher hardness values compared to Au, a finding that is explained by the nanocrystalline structure of the film. Hardness was converted to the yield stress using both the Tabor relationship and the inverse method (based on the Johnson cavity model). The thermal component of the yield-stress dependence followed a second-order polynomial in the temperature range tested for Au and Pt/Cu films. The decrease in yield stress at elevated temperatures accounts for the increased interfacial toughness of Cu thin films.

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“…Following PK, who restricted their model to but two possible molecular orientations, separated by a suitable energy barrier (for n orientations with n > 2, see ref [5]) we summarize using the notation employed in the book by Ubbelohde [7], the phenomenological equations for the two order parameters Q and S, namely Though in ref [1], modest contact was established with solid H 2 and the halogens, it has subsequently come to the author's attention that very relevant proton magnetic resonance (PMR) experiments are recorded in the older literature for the solid tetramethyls already referred to. We refer here especially to the study [8] [16] and Burakovsky and co-workers [17,18]. Here we shall report on the subsequent study of Matthai and March [19] who have emphasized especially the common features shared by the treatments of KJ and Burakovsky et al…”

Section: Introductionmentioning

confidence: 97%

“…Combining this relation (A5.1) with the melting criterion of Lindemann [16], one is led to the relation (see also [18])…”

Section: Appendix 32mentioning

confidence: 99%

Melting and related precursor cooperative phenomena in chemically bonded assemblies

March

2006

Physics and Chemistry of Liquids

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A number of experimental studies of condensed matter assemblies with different types of chemical bonding will provide the focus of this work. Condensed compounds X(CH 3 ) 4 , with X = C, Si or Ge, are the first of such assemblies; two phase boundaries in the pressuretemperature plane being studied: melting and a solid phase boundary heralding orientational disordering of molecules still however on a lattice. Secondly, directionally bonded d-electron transition metals such as N i, P d and N b will be treated. Here, melting is the main focus, but the precursor transition is now the separation of a high-temperature ductile solid from a lower temperature mechanically brittle phase. A dislocation-mediated model of these transitions is discussed, leading into the third area of covalently bonded solids graphite and silicon. Here topological defect models again provide the focus; both dislocations and rotation-dislocations now being invoked. Some qualitative suggestions are made to interpret the melting curve of graphite subjected to high pressure. MIRAMARE -TRIESTE September 2004 BackgroundMelting models and/or criteria have a long history and, naturally enough, have often focussed on simple crystals formed from almost spherical building blocks, condensed argon being a prime example.Here our aim is different and the focus of the present study will be on chemically bonded assemblies. We have chosen three specific areas by way of illustration, namely: I) Melting and a related lower temperature phase boundary of solid X(CH 3 ) 4 : X = C, Si, Ge as a function of pressure.II) Melting and associated physical properties in d-electron transition metals, examples referred to including the body-centred-cubic (bcc) element N b and the face-centred-cubic structures of P d and N i and III) Melting transition in graphite, and quite briefly also in silicon.As to the related precursor cooperative phenomena referred to in the title of this paper, in area I this concerns the phase boundary in solid X(CH 3 ) 4 which marks the separation, prior to melting, of a low-temperature orientationally ordered molecular phase, say at a given pressure, from a phase characterized by orientational disorder, with in both cases however the molecules still attached to the sites of a crystal lattice.In area II, the precursor transition to melting, say in the bcc transition metal N b referred to above, is the so-called brittle-to-ductile transition (BDT). A rule of thumb sometimes used by materials scientists, and detailed further below, at atmospheric pressure, relates grossly the temperature of this transition denoted by T BDT , to a fraction of the melting temperature T m .As to the third area, silicon is possibly the elemental solid in which the BDT has been most carefully studied experimentally. However, although a BDT seems not to have been observed at the time of writing in graphite, for presentational purposes a single graphene layer consisting of hexagons of C atoms with sp 2 hybridization provides a most useful starting point.With this ba...

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Analytic model of the shear modulus at all temperatures and densities

Cited by 98 publications

References 77 publications

New Challenges for the Pressure Evolution of the Glass Temperature

New Challenges for the Pressure Evolution of the Glass Temperature

Nanoindentation of Au and Pt/Cu thin films at elevated temperatures

Melting and related precursor cooperative phenomena in chemically bonded assemblies

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