2016
DOI: 10.5194/acp-16-7239-2016
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Exploring an approximation for the homogeneous freezing temperature of water droplets

Abstract: Abstract. In this work, based on the well-known formulae of classical nucleation theory (CNT), the temperature T N c =1 at which the mean number of critical embryos inside a droplet is unity is derived from the Boltzmann distribution function and explored as an approximation for homogeneous freezing temperature of water droplets. Without including the information of the applied cooling rate γ cooling and the number of observed droplets N total_droplets in the calculation, the approximation T N c =1 is able to … Show more

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Cited by 10 publications
(6 citation statements)
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“…Restricting the freezing curve analysis to the 5 %-95 % frozen droplet fraction, as is now being done by some groups to exclude anomalously early and late freezing droplets, is not recommended. The ice activity of individual particles is very much a diverse spectrum, resulting in some droplets in a freezing array containing more rare ice-active INPs that induce freezing at warmer temperatures (Augustin-Bauditz et al, 2016;Conen et al, 2011;O'Sullivan et al, 2015;Petters and Wright, 2015;Pummer et al, 2012Pummer et al, , 2015. This can occur even in experiments on "pure" single-particle-type samples such as Snomax bacterial and illite NX mineral particles (Beydoun et al, 2016(Beydoun et al, , 2017.…”
Section: Recommendations For Droplet Freezing Methods and Analysis Promentioning
confidence: 99%
See 1 more Smart Citation
“…Restricting the freezing curve analysis to the 5 %-95 % frozen droplet fraction, as is now being done by some groups to exclude anomalously early and late freezing droplets, is not recommended. The ice activity of individual particles is very much a diverse spectrum, resulting in some droplets in a freezing array containing more rare ice-active INPs that induce freezing at warmer temperatures (Augustin-Bauditz et al, 2016;Conen et al, 2011;O'Sullivan et al, 2015;Petters and Wright, 2015;Pummer et al, 2012Pummer et al, , 2015. This can occur even in experiments on "pure" single-particle-type samples such as Snomax bacterial and illite NX mineral particles (Beydoun et al, 2016(Beydoun et al, , 2017.…”
Section: Recommendations For Droplet Freezing Methods and Analysis Promentioning
confidence: 99%
“…DFTs are utilized for both homogeneous and heterogeneous ice nucleation experiments (Hiranuma et al, 2015;Murray et al, 2010Murray et al, , 2012Vali and Stansbury, 1966;Wilson et al, 2015;Zobrist et al, 2008). Homogeneous freezing can sometimes present a challenge for DFTs as it is difficult to avoid interference from unintended heterogeneous freezing (Hader et al, 2014;O'Sullivan et al, 2015;Whale et al, 2015). There are a number of variables within DFT setups that can influence the apparent homogeneous freezing temperature of pure water droplets that determines the background temperature spectrum and sets the lower temperature limit for assessing heterogeneous ice nucleation.…”
Section: Introductionmentioning
confidence: 99%
“…The use of Piko PCR trays allows for a range of sample volumes between 5 -60 µL to be measured on FINC. Theoretically, freezing rates of water droplets are dependent on the volume of the droplet; smaller droplets freeze at lower temperatures (O and Wood, 2016). Classical nucleation theory approximates interfacial tension between ice and water, activation energy of the phase transfer, and size of clusters and embryos (Ickes et al, 2015 µL, respectively, across one to five replicates (Table S2; Fig.…”
Section: Non-homogeneous Freezing In Fincmentioning
confidence: 99%
“…Thus we can approximate that S c,LL ≈ S c,0 . Unfortunately equating S c,IL to the configurational entropy of bulk ice (which can be deduced from geometrical arguments; Pauling, 1935) would violate the requirement that D → 0 at thermodynamic equilibrium. To estimate S c,IL we assume instead that water molecules in the IL regions should be displaced from their equilibrium position (essentially "diffusing" into the LL regions) to be incorporated into the ice lattice.…”
Section: Diffusion Within the Particle-liquid Interfacementioning
confidence: 99%