Role of entropy of fusion in phase transformation and self-diffusion

Tiwari, G.P.; Juneja, J.M.; Iijima, Yoshiaki

doi:10.1023/b:jmsc.0000016149.55504.cf

Cited by 24 publications

(26 citation statements)

References 11 publications

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“…1c. For the former two elements, the difference between γ 3 and γ sl0 is smaller than 5%; while for the latter three elements, the differences [11,[16][17][18][19][22][23][24] …”

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 91%

“…However, direct measurements for γ sl0 are not at all easy even for elements in contrast to the case of interface energy of bulk liquid-vapor γ lv0 [10,11,13]. Various techniques have been applied to estimate γ sl0 from experimental data like maximum supercooling [9,10], dihedral angles (DA) [17,18], contact angles (CA) [18], the depression of melting points of small crystals (DMP) [11,18,19], the shape of the grain-boundary-grooves (GBG) [16], and molecular dynamics simulations (MD) [20][21][22][23][24], etc. Despite of the efforts, the obtained values show a considerable scattering with conflicts.…”

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 99%

“…(2.10) and (2.12), γ sl (T ) for metals can also be read as, [11,[16][17][18][19][22][23][24] are also shown in Table 1. It was thought that the free energy of the system depends not only on γ sl0 but also on the energy of the grain boundary (which varies with the relative orientation of the grains), a scattering of γ sl0 could thus be expected due to the random orientation of the neighboring grains [17].…”

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 99%

See 2 more Smart Citations

Size dependent interface energy and its applications

Jiang

2008

Surface Science Reports

328

173

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“…1c. For the former two elements, the difference between γ 3 and γ sl0 is smaller than 5%; while for the latter three elements, the differences [11,[16][17][18][19][22][23][24] …”

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 91%

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 99%

Section: The Bulk Solid-liquid Interface Energy γ Sl0mentioning

confidence: 99%

See 1 more Smart Citation

Size dependent interface energy and its applications

Jiang

2008

Surface Science Reports

328

173

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“…Thus, S el ( ) strongly contributes to S m ( ), and S pos ( ) << S el ( ). S pos ( ) is thus negligible as a first order approximation [55]. Namely, functions decrease as D is reduced or surface/volume ratio is increased due to higher energetic state of surface atoms [5].…”

Section: (Dt) = F(d)t Where F(d)mentioning

confidence: 99%

Size Dependence of Structures and Properties of Magnetic Materials

Jiang¹,

Lang²

2007

TONANOJ

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Due to the involvement of high portion of atomic coordination imperfection in surfaces and interfaces, the properties of magnetic nanocrystals dramatically differ from that of the corresponding bulk counterparts, which have led to a surge in both experimental and theoretical investigations in the past decades. This review summarizes the studies for these size-dependent magnetic properties, and additional thermal or phase stabilities, and mechanical properties. To interpret the above phenomena, a thermodynamic model for the size dependence and interface dependences of these properties is described, which is based on Lindemann s criterion for melting, Mott s expression for the vibrational melting entropy, and Shi s model for the size-dependent melting temperature. The model without any adjustable parameter is confirmed by a large number of experimental results, and helps us to understand the structures and properties of the magnetic nanocrystals. Moreover, other theoretical works on the above properties are also mentioned and commented.

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“…Thus, S el (∞) strongly contributes to S m (∞), and S pos (∞) S el (∞). S pos (∞) is thus negligible as a first-order approximation [115]. Namely,…”

Section: Atomic Vibrational Instabilitymentioning

confidence: 98%

Size dependence of phase transition temperatures of ferromagnetic, ferroelectric and superconductive nanocrystals

Lang

Jiang

2007

Front. Phys. China

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With the miniaturization of devices, size and interface effects become increasingly important for the properties and performances of nanomaterials. Here, we present a thermodynamic approach to the mechanism behind size-induced unusual behavior in the phase stabilities of ferromagnetic (FM), antiferromagnetic (AFM), ferroelectric (FE), and superconductive (SC) nanocrystals, which are different dramatically from their bulk counterparts. This method is based on the Lindemann criterion for melting, Mott's expression for the vibrational melting entropy, and the Shi model for the size-dependent melting temperature. Simple and unified functions, without any adjustable parameter, are established for the size and interface dependences of thermal and phase stabilities of FM, AFM, FE and SC nanocrystals. According to these analytic functions, as the size of nanocrystals is reduced, the thermal and phase stabilities may strengthen or weaken, depending on the confluence of the surface/volume ratio of nanocrystals and the FM(AFM, FE or SC)/substrate interface situations. The validity of this model is confirmed by a large number of experimental results. This theory will be significant for the choice of materials and the design of devices for practical application.

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Role of entropy of fusion in phase transformation and self-diffusion

Cited by 24 publications

References 11 publications

Size dependent interface energy and its applications

Size dependent interface energy and its applications

Size Dependence of Structures and Properties of Magnetic Materials

Size dependence of phase transition temperatures of ferromagnetic, ferroelectric and superconductive nanocrystals

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