Second-Order Expansion of Gibbs-Thomson Equation and Melting Point Depression of Ice Crystallite

Mori, Ayumi; Maruyama, Michitaka; Furukawa, Yoshinori

doi:10.1143/jpsj.65.2742

Cited by 19 publications

(27 citation statements)

References 4 publications

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“…͑1͒ is actually a first-order expansion. However, the second-order term 32 is small in the present case, since it represents a correction of ϩ5 K at rϭ2 nm.…”

Section: ͑4͒mentioning

confidence: 82%

Size-dependent melting point depression of nanostructures: Nanocalorimetric measurements

et al. 2000

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The melting behavior of 0.1-10-nm-thick discontinuous indium films formed by evaporation on amorphous silicon nitride is investigated by an ultrasensitive thin-film scanning calorimetry technique. The films consist of ensembles of nanostructures for which the size dependence of the melting temperature and latent heat of fusion are determined. The relationship between the nanostructure radius and the corresponding melting point and latent heat is deduced solely from experimental results ͑i.e., with no assumed model͒ by comparing the calorimetric measurements to the particle size distributions obtained by transmission electron microscopy. It is shown that the melting point of the investigated indium nanostructures decreases as much as 110 K for particles with a radius of 2 nm. The experimental results are discussed in terms of existing melting point depression models. Excellent agreement with the homogeneous melting model is observed.

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“…͑1͒ is actually a first-order expansion. However, the second-order term 32 is small in the present case, since it represents a correction of ϩ5 K at rϭ2 nm.…”

Section: ͑4͒mentioning

confidence: 82%

Size-dependent melting point depression of nanostructures: Nanocalorimetric measurements

et al. 2000

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“…Homogeneous nucleation results employing spherical ice clusters are in green (see legend) for the TIP4P/2005, 3 TIP4P/Ice, 3 and TIP4P 4 models. The real-water GT equation 48 Three GT curves are given in Figure 3. The curves for spherical and cylindrical clusters were obtained using the experimental parameters for water.…”

Section: Resultsmentioning

confidence: 99%

Simulations of Ice Nucleation by Model AgI Disks and Plates

2016

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Silver iodide is one of the most effective ice nuclei known. We use molecular dynamics simulations to investigate ice nucleation by AgI disks and plates with radii ranging from 1.15 to 2.99 nm. It is shown that disks and plates in this size range are effective ice nuclei, nucleating bulk ice at temperatures as warm as 14 K below the equilibrium freezing temperature, on simulation time scales (up to a few hundred nanoseconds). Ice nucleated on the Ag exposed surface of AgI disks and plates. Shortly after supercooling an ice cluster forms on the AgI surface. The AgI-stabilized ice cluster fluctuates in size as time progresses, but, once formed, it is constantly present. Eventually, depending on the disk or plate size and the degree of supercooling, a cluster fluctuation achieves critical size, and ice nucleates and rapidly grows to fill the simulation cell. Larger AgI disks and plates support larger ice clusters and hence can nucleate ice at warmer temperatures. This work may be useful for understanding the mechanism of ice nucleation on nanoparticles and active sites of larger atmospheric particles.

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“…The effect of second-order terms is treated by Mori et al ͑1996͒. The term v arises from the pressure dependence of T m ; if the system is in equilibrium with the vapor,…”

Section: Porous Mediamentioning

confidence: 99%

The physics of premelted ice and its geophysical consequences

2006

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The surface of ice exhibits the swath of phase-transition phenomena common to all materials and as such it acts as an ideal test bed of both theory and experiment. It is readily available, transparent, optically birefringent, and probing it in the laboratory does not require cryogenics or ultrahigh vacuum apparatus. Systematic study reveals the range of critical phenomena, equilibrium and nonequilibrium phase-transitions, and, most relevant to this review, premelting, that are traditionally studied in more simply bound solids. While this makes investigation of ice as a material appealing from the perspective of the physicist, its ubiquity and importance in the natural environment also make ice compelling to a broad range of disciplines in the Earth and planetary sciences. In this review we describe the physics of the premelting of ice and its relationship with the behavior of other materials more familiar to the condensed-matter community. A number of the many tendrils of the basic phenomena as they play out on land, in the oceans, and throughout the atmosphere and biosphere are developed.

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Second-Order Expansion of Gibbs-Thomson Equation and Melting Point Depression of Ice Crystallite

Cited by 19 publications

References 4 publications

Size-dependent melting point depression of nanostructures: Nanocalorimetric measurements

Size-dependent melting point depression of nanostructures: Nanocalorimetric measurements

Simulations of Ice Nucleation by Model AgI Disks and Plates

The physics of premelted ice and its geophysical consequences

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