Accurate thermodynamic relations of the melting temperature of nanocrystals with different shapes and pure theoretical calculation

Zhu, Jiang; Fu, Qingshan; Xue, Yongqiang; Cui, Zixiang

doi:10.1016/j.matchemphys.2017.01.049

Cited by 22 publications

(15 citation statements)

References 56 publications

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“…After extensive milling, smoothening of the pore framework occurs, possibly due to an enhanced milling rate of edges and other asperities, which is a well established phenomenon in FIB milling. 31 Redeposition of material during milling of the rather high aspect ratio channels could explain why the remaining pore framework becomes thicker as milling time progresses.…”

Section: Resultsmentioning

confidence: 99%

“…Moreover, nanoparticles are also known to melt at lower temperatures than their corresponding bulk values, due to a high surface area-to-volume ratio causing instability. 30,31 The local temperature during milling depends on several factors, such as thermal conductivity of the material being milled, the geometry, thermal contact to the surrounding environment, and ion beam voltage and current, 32 and is thus difficult to accurately predict without extensive modelling. Oleic acid chains are most likely removed in the milling process ( Fig.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Focused ion beam milling of self-assembled magnetic superstructures: an approach to fabricate nanoporous materials with tunable porosity

Håkonsen

Singh

2018

Mater. Horiz.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Focused ion beam milling of self-assembled magnetic superstructures: an approach to fabricate nanoporous materials with tunable porosity

Håkonsen

Singh

2018

Mater. Horiz.

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“…Apart from an optically thick metallic underlayer onto which a dielectric stack is deposited (for filters in reflection), it stands to reason that any other incorporated metallic layer must have a thickness not significantly exceeding the optical skin depth, which is usually in the range of a few tens of nanometers. Such small thicknesses are known to depress the melting point of the thin-film to values below the corresponding bulk melting point [33,34,35,36,37,38]. Thus, the depressed thin-film melting point risks becoming the limiting factor to the upper temperature that can be sustained by the multilayer stack.…”

Section: Introductionmentioning

confidence: 99%

Ultra-thin titanium nitride films for refractory spectral selectivity [Invited]

Roberts¹,

Chirumamilla²,

Wang³

et al. 2018

Opt. Mater. Express

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We demonstrate a selectively emitting optical Fabry-Pérot resonator based on a few-nm-thin continuous metallic titanium nitride film, separated by a dielectric spacer from an optically thick titanium nitride back-reflector, which exhibits excellent stability at 1070 K against chemical degradation, thin-film instabilities and melting point depression. The structure paves the way to the design and fabrication of refractory thermal emitters using the well-established processes known from the field of multilayer and rugate optical filters. We demonstrate that a few-nanometer thick films of titanium nitride can be stable under operation at temperatures exceeding 1070 K. This type of selective emitter provides a means towards near-infrared thermal emission that could potentially be tailored to the accuracy level known from rugate optical filters.

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“…But for reversible process, these two parameters are equal . Combining our previous work, the accurate equation of melting temperature for spherical nanoparticles in reversible melting process is as follows

T_{normalm} = \frac{Δ_{normals}^{normall} H_{normalm}^{normalb}}{Δ_{normals}^{normall} S_{normalm}^{normalb}} + \frac{1}{Δ_{normals}^{normall} S_{normalm}^{normalb}} false[\frac{2 σ_{lv} V_{normall}}{r_{normall}} false(1 - \frac{ρ_{normall}}{ρ_{normals}} false) - \frac{2 σ_{sl} V_{normals}}{r_{normals}} false]

where

Δ_{normals}^{normall} H_{normalm}^{normalb}

and

Δ_{normals}^{normall} S_{normalm}^{normalb}

denote the change in molar enthalpy and entropy of bulk phase at melting temperature, respectively; T m , σ, V , r , and ρ denote melting temperature, surface tension, molar volume, radius, and density of nanoparticles, respectively; the subscripts s and l denote the solid phase and liquid phase, respectively.…”

Section: Theoretical Sectionmentioning

confidence: 99%

Influence of Size on Melting Thermodynamics of Nanoparticles: Mechanism, Factors, Range, and Degree

Duan

Xue

Cui

et al. 2018

Part & Part Syst Charact

Self Cite

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Particle size plays a crucial role in melting process of nanoparticles, but the mechanism, factors, range, and degree of the size effect are still unclear. Here, the precise equations of the integral melting enthalpy and entropy with radius of nanoparticles are deduced, without any adjustable parameters, and the influencing mechanism and the factors are discussed. Experimentally, the melting of spherical nano‐Au with different radii (0.9–37.4 nm) is taken as a system to research the melting behavior of nanoparticles. Combining the results of theory and experiments, the influencing regularities, range, and degree are discussed. The results indicate that there are significant effects of particle size on the temperature, integral enthalpy, and integral entropy of melting, which decrease with the radius decreasing. These effects can be attributed to specific surface area, surface tension, and its temperature coefficient. When the radius exceeds 10 nm, specific surface area is the decisive factor, there exists the linear relationships of temperature, integral enthalpy, and integral entropy of melting with the reciprocal of radius. However, when the radius is less than 10 nm, the effects of surface tension and its temperature coefficient gradually hold the main position, the linear relations do not exist.

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Accurate thermodynamic relations of the melting temperature of nanocrystals with different shapes and pure theoretical calculation

Cited by 22 publications

References 56 publications

Focused ion beam milling of self-assembled magnetic superstructures: an approach to fabricate nanoporous materials with tunable porosity

Focused ion beam milling of self-assembled magnetic superstructures: an approach to fabricate nanoporous materials with tunable porosity

Ultra-thin titanium nitride films for refractory spectral selectivity [Invited]

Influence of Size on Melting Thermodynamics of Nanoparticles: Mechanism, Factors, Range, and Degree

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