The dynamic properties of liquid phase-change materials (PCMs), such as viscosity η and the atomic self-diffusion coefficient D , play an essential role in the ultrafast phase switching behavior of novel nonvolatile phase-change memory applications. To connect η to D , the Stokes-Einstein relation (SER) is commonly assumed to be valid at high temperatures near or above the melting temperature T m and is often used for assessing liquid fragility (or crystal growth velocity) of technologically important PCMs. However, using quasi-elastic neutron scattering, we provide experimental evidence for a breakdown of the SER even at temperatures above T m in the high–atomic mobility state of a PCM, Ge 1 Sb 2 Te 4 . This implies that although viscosity may have strongly increased during cooling, diffusivity can remain high owing to early decoupling, being a favorable feature for the fast phase switching behavior of the high-fluidity PCM. We discuss the origin of the observation and propose the possible connection to a metal-semiconductor and fragile-strong transition hidden below T m .
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Predictions of diffusion rates of large organic molecules in secondary organic aerosols using the Stokes–Einstein and fractional Stokes–Einstein relations
Abstract. Information on the rate of diffusion of organic moleculeswithin secondary organic aerosol (SOA) is needed to accurately predict theeffects of SOA on climate and air quality. Diffusion can be important forpredicting the growth, evaporation, and reaction rates of SOA under certainatmospheric conditions. Often, researchers have predicted diffusion rates oforganic molecules within SOA using measurements of viscosity and theStokes–Einstein relation (D∝1/η, where D is the diffusioncoefficient and η is viscosity). However, the accuracy of thisrelation for predicting diffusion in SOA remains uncertain. Usingrectangular area fluorescence recovery after photobleaching (rFRAP), wedetermined diffusion coefficients of fluorescent organic molecules over8 orders in magnitude in proxies of SOA including citric acid, sorbitol,and a sucrose–citric acid mixture. These results were combined withliterature data to evaluate the Stokes–Einstein relation for predictingthe diffusion of organic molecules in SOA. Although almost all the data agreewith the Stokes–Einstein relation within a factor of 10, a fractionalStokes–Einstein relation (D∝1/ηξ) with ξ=0.93is a better model for predicting the diffusion of organic molecules in the SOAproxies studied. In addition, based on the output from a chemical transportmodel, the Stokes–Einstein relation can overpredict mixing times of organicmolecules within SOA by as much as 1 order of magnitude at an altitudeof ∼3 km compared to the fractional Stokes–Einstein relation with ξ=0.93. These results also have implications for other areas such as infood sciences and the preservation of biomolecules.
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- Award ID(s):
- 1654104
- PAR ID:
- 10142829
- Date Published:
- Journal Name:
- Atmospheric Chemistry and Physics
- Volume:
- 19
- Issue:
- 15
- ISSN:
- 1680-7324
- Page Range / eLocation ID:
- 10073 to 10085
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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