Comment on “Size-Dependent Melting Properties of Small Tin Particles: Nanocalorimetric Measurements”

Koppes, John P.; Muza, Anthony R.; Stach, Eric A.; Handwerker, Carol A.

doi:10.1103/physrevlett.104.189601

Cited by 13 publications

(5 citation statements)

References 7 publications

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“…Tin data are taken from Fig. 2 in Koppes et al 99 including data from Wronski 68 and Lai et al 100 . Gold data correspond to spherical gold particles summarized in Fig.…”

Section: Discussionmentioning

confidence: 99%

Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material

Petters

Kasparoǧlu

2020

Sci Rep

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Atmospheric aerosols can assume liquid, amorphous semi-solid or glassy, and crystalline phase states. Particle phase state plays a critical role in understanding and predicting aerosol impacts on human health, visibility, cloud formation, and climate. Melting point depression increases with decreasing particle diameter and is predicted by the Gibbs–Thompson relationship. This work reviews existing data on the melting point depression to constrain a simple parameterization of the process. The parameter $$\xi $$ ξ describes the degree to which particle size lowers the melting point and is found to vary between 300 and 1800 K nm for a wide range of particle compositions. The parameterization is used together with existing frameworks for modeling the temperature and RH dependence of viscosity to predict the influence of particle size on the glass transition temperature and viscosity of secondary organic aerosol formed from the oxidation of $$\alpha $$ α -pinene. Literature data are broadly consistent with the predictions. The model predicts a sharp decrease in viscosity for particles less than 100 nm in diameter. It is computationally efficient and suitable for inclusion in models to evaluate the potential influence of the phase change on atmospheric processes. New experimental data of the size-dependence of particle viscosity for atmospheric aerosol mimics are needed to thoroughly validate the predictions.

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“…Tin data are taken from Fig. 2 in Koppes et al 99 including data from Wronski 68 and Lai et al 100 . Gold data correspond to spherical gold particles summarized in Fig.…”

Section: Discussionmentioning

confidence: 99%

Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material

Petters

Kasparoǧlu

2020

Sci Rep

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“…20 However, it is possible that the Sn nanoparticles at 200 o C might be melted due to size-dependent melting point depression. 21 Crystallinity and Crystal Structure. All of the nanorods produced using the four different silanes were crystalline with diamond cubic Si crystal structure.…”

Section: Resultsmentioning

confidence: 99%

Low Temperature Colloidal Synthesis of Silicon Nanorods from Isotetrasilane, Neopentasilane, and Cyclohexasilane

Anderson

Boudjouk

et al. 2015

Chem. Mater.

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Isotetrasilane, neopentasilane and cyclohexasilane were studied as reactants for silicon (Si) nanorod growth in solution. These polysilane hydrides were found to enable lower growth temperatures in solution than any other silane reactants used to date. Cyclohexasilane enabled the lowest growth temperature of 200 o C, using a single-step solution-liquid-solid (SLS) reaction from tin (Sn) seeds. The potential for nanorod growth is determined by the reactivity of the silane. Cyclohexasilane is the most reactive of the polysilane hydrides studied here, requiring the lowest energy for dehydrogenation. The formation of silylene by cycolhexasilane also facilitates chemisorption onto the Sn surface during nanorod growth. Relatively bright photoluminescence (emission quantum yields of 2%) could still be achieved from Si nanorods grown at these low temperatures.

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“…The high surface-to-volume ratio in nanostructured materials often changes their properties and in particular, the melting temperature, compared to bulk materials. For example, nanostructured materials usually have a lower melting temperature and lower stability relative to the molten phases [1][2][3][4][5][6]. In bulk metals, melting usually starts at the surface at temperatures below the bulk melting temperature [7,8]; however, premelting does not occur for all metal surfaces [9].…”

Section: Introductionmentioning

confidence: 99%

“…| | ( ) in the GL equation. To derive equation (6), by substituting the energy potential y (equation ( 1)) and strain tensor (equation ( 5  is the simplest one that satisfies all of the above conditions and scales  e t with the rate of volumetric transformation strain. Using equations (1)-( 6), the GL equation is extended as 1…”

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confidence: 99%

Surface induced melting of long Al nanowires: phase field model and simulations for pressure loading and without it

Javanbakht¹,

Skandari²,

Silani³

2022

Nanotechnology

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In this paper, melting of long Al nanowires is studied using a phase field model in which deviatoric transformation strain described by a kinetic equation produces a promoting driving force for both melting and solidification and consequently, a lower melting temperature is resolved. The coupled system of the Ginzburg-Landau equation for solidification/melting transformation, the kinetic equation for the deviatoric transformation strain and elasticity equations are solved using the COMSOL finite element code to obtain the evolution of melt solution. A deviatoric strain kinetic coefficient is used which results in the same pressure as that calculated with the Laplace equation in a solid neglecting elastic stresses. The surface and bulk melting temperatures are calculated for different nanowire diameters without mechanical loading which shows a good agreement with existing MD and analytical results. For radii R>5nm, a complete surface solid-melt interface is created which propagates to the center. For smaller radii, premelting occurs everywhere starting from the surface and the nanowire melts without creating the interface. The melting rate shows an inverse power relationship with radius for R<15nm. For melting under pressure, the model with constant bulk modulus results in an unphysical parabolic variation vs. pressure in contrast to the almost linear increase of the melting temperature vs. pressure from known MD simulations. Such drawback is resolved by considering the pressure dependence of the bulk modulus through the Murnaghan's equation due to which an almost linear increase of the melting temperature vs. pressure is obtained. Also, a reduction of the interface width and a significant increase of the melting rate vs. pressure are found. The presented model and results allow for a better understanding of the premelting and melting of different metallic nanowires with various loading conditions and structural defects.

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Comment on “Size-Dependent Melting Properties of Small Tin Particles: Nanocalorimetric Measurements”

Cited by 13 publications

References 7 publications

Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material

Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material

Low Temperature Colloidal Synthesis of Silicon Nanorods from Isotetrasilane, Neopentasilane, and Cyclohexasilane

Surface induced melting of long Al nanowires: phase field model and simulations for pressure loading and without it

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