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

Abstract

Abstract 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.

Authors:
;
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
OSTI Identifier:
1661721
Alternate Identifier(s):
OSTI ID: 1713173
Grant/Contract Number:  
SC0018265
Resource Type:
Published Article
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Name: Scientific Reports Journal Volume: 10 Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United Kingdom
Language:
English
Subject:
36 MATERIALS SCIENCE; atmospheric chemistry; atmospheric science

Citation Formats

Petters, Markus, and Kasparoglu, Sabin. Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material. United Kingdom: N. p., 2020. Web. https://doi.org/10.1038/s41598-020-71490-0.
Petters, Markus, & Kasparoglu, Sabin. Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material. United Kingdom. https://doi.org/10.1038/s41598-020-71490-0
Petters, Markus, and Kasparoglu, Sabin. Wed . "Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material". United Kingdom. https://doi.org/10.1038/s41598-020-71490-0.
@article{osti_1661721,
title = {Predicting the influence of particle size on the glass transition temperature and viscosity of secondary organic material},
author = {Petters, Markus and Kasparoglu, Sabin},
abstractNote = {Abstract 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.},
doi = {10.1038/s41598-020-71490-0},
journal = {Scientific Reports},
number = 1,
volume = 10,
place = {United Kingdom},
year = {2020},
month = {9}
}

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https://doi.org/10.1038/s41598-020-71490-0

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Works referenced in this record:

Bouncier Particles at Night: Biogenic Secondary Organic Aerosol Chemistry and Sulfate Drive Diel Variations in the Aerosol Phase in a Mixed Forest
journal, April 2019

  • Slade, Jonathan H.; Ault, Andrew P.; Bui, Alexander T.
  • Environmental Science & Technology, Vol. 53, Issue 9
  • DOI: 10.1021/acs.est.8b07319

Temperature- and Humidity-Dependent Phase States of Secondary Organic Aerosols
journal, January 2019

  • Petters, Sarah S.; Kreidenweis, Sonia M.; Grieshop, Andrew P.
  • Geophysical Research Letters, Vol. 46, Issue 2
  • DOI: 10.1029/2018GL080563

The effect of hydrophobic glassy organic material on the cloud condensation nuclei activity of particles with different morphologies
journal, January 2019

  • Tandon, Ankit; Rothfuss, Nicholas E.; Petters, Markus D.
  • Atmospheric Chemistry and Physics, Vol. 19, Issue 5
  • DOI: 10.5194/acp-19-3325-2019

The size dependence of the melting point of small particles of tin
journal, December 1967


Competition between water uptake and ice nucleation by glassy organic aerosol particles
journal, January 2014

  • Berkemeier, T.; Shiraiwa, M.; Pöschl, U.
  • Atmospheric Chemistry and Physics, Vol. 14, Issue 22
  • DOI: 10.5194/acp-14-12513-2014

The Gibbs Equation versus the Kelvin and the Gibbs-Thomson Equations to Describe Nucleation and Equilibrium of Nano-Materials
journal, March 2012


Condensation Kinetics of Water on Amorphous Aerosol Particles
journal, June 2018

  • Rothfuss, Nicholas E.; Marsh, Aleksandra; Rovelli, Grazia
  • The Journal of Physical Chemistry Letters, Vol. 9, Issue 13
  • DOI: 10.1021/acs.jpclett.8b01365

Ideal copolymers and the second-order transitions of synthetic rubbers. i. non-crystalline copolymers
journal, September 1952


Experimental evidence for excess entropy discontinuities in glass-forming solutions
journal, February 2012

  • Lienhard, Daniel M.; Zobrist, Bernhard; Zuend, Andreas
  • The Journal of Chemical Physics, Vol. 136, Issue 7
  • DOI: 10.1063/1.3685902

Modification of Frenkel's model for sintering
journal, December 1997

  • Pokluda, Ondřej; Bellehumeur, Céline T.; Vlachopoulos, John
  • AIChE Journal, Vol. 43, Issue 12
  • DOI: 10.1002/aic.690431213

The Cooling Rate- and Volatility-Dependent Glass-Forming Properties of Organic Aerosols Measured by Broadband Dielectric Spectroscopy
journal, September 2019

  • Zhang, Yue; Nichman, Leonid; Spencer, Peyton
  • Environmental Science & Technology, Vol. 53, Issue 21
  • DOI: 10.1021/acs.est.9b03317

Quantifying water diffusion in high-viscosity and glassy aqueous solutions using a Raman isotope tracer method
journal, January 2014

  • Price, H. C.; Murray, B. J.; Mattsson, J.
  • Atmospheric Chemistry and Physics, Vol. 14, Issue 8
  • DOI: 10.5194/acp-14-3817-2014

The effect of hydroxyl functional groups and molar mass on the viscosity of non-crystalline organic and organic–water particles
journal, January 2017

  • Grayson, James W.; Evoy, Erin; Song, Mijung
  • Atmospheric Chemistry and Physics, Vol. 17, Issue 13
  • DOI: 10.5194/acp-17-8509-2017

Estimating the Viscosity Range of SOA Particles Based on Their Coalescence Time
journal, December 2013


Predicting the glass transition temperature and viscosity of secondary organic material using molecular composition
journal, January 2018

  • DeRieux, Wing-Sy Wong; Li, Ying; Lin, Peng
  • Atmospheric Chemistry and Physics, Vol. 18, Issue 9
  • DOI: 10.5194/acp-18-6331-2018

Role of nucleation mechanism on the size dependent morphology of organic aerosol
journal, January 2016

  • Altaf, Muhammad Bilal; Zuend, Andreas; Freedman, Miriam Arak
  • Chemical Communications, Vol. 52, Issue 59
  • DOI: 10.1039/C6CC03826C

Size-dependent melting of polycyclic aromatic hydrocarbon nano-clusters: A molecular dynamics study
journal, February 2014


Growth Kinetics and Size Distribution Dynamics of Viscous Secondary Organic Aerosol
journal, January 2018

  • Zaveri, Rahul A.; Shilling, John E.; Zelenyuk, Alla
  • Environmental Science & Technology, Vol. 52, Issue 3
  • DOI: 10.1021/acs.est.7b04623

Size-, Shape-, and Dimensionality-Dependent Melting Temperatures of Nanocrystals
journal, April 2009

  • Lu, H. M.; Li, P. Y.; Cao, Z. H.
  • The Journal of Physical Chemistry C, Vol. 113, Issue 18
  • DOI: 10.1021/jp900314q

The deposition ice nucleation and immersion freezing potential of amorphous secondary organic aerosol: Pathways for ice and mixed-phase cloud formation: ICE NUCLEATION BY AMORPHOUS SOA
journal, August 2012

  • Wang, Bingbing; Lambe, Andrew T.; Massoli, Paola
  • Journal of Geophysical Research: Atmospheres, Vol. 117, Issue D16
  • DOI: 10.1029/2012JD018063

Melting point depression of nanosolids: Nonextensive thermodynamics approach
journal, July 2007


Viscosity controls humidity dependence of N 2 O 5 uptake to citric acid aerosol
journal, January 2015

  • Gržinić, G.; Bartels-Rausch, T.; Berkemeier, T.
  • Atmospheric Chemistry and Physics, Vol. 15, Issue 23
  • DOI: 10.5194/acp-15-13615-2015

Nanosize Effect on the Deliquescence and the Efflorescence of Sodium Chloride Particles
journal, February 2006


Fluorescence lifetime imaging of optically levitated aerosol: a technique to quantitatively map the viscosity of suspended aerosol particles
journal, January 2016

  • Fitzgerald, C.; Hosny, N. A.; Tong, H.
  • Physical Chemistry Chemical Physics, Vol. 18, Issue 31
  • DOI: 10.1039/C6CP03674K

Following Particle-Particle Mixing in Atmospheric Secondary Organic Aerosols by Using Isotopically Labeled Terpenes
journal, February 2018


Analysis of Recent Measurements of the Viscosity of Glasses
journal, June 1925


Changing shapes and implied viscosities of suspended submicron particles
journal, January 2015

  • Zhang, Y.; Sanchez, M. S.; Douet, C.
  • Atmospheric Chemistry and Physics, Vol. 15, Issue 14
  • DOI: 10.5194/acp-15-7819-2015

The effect of hydrogen bonding on the glass transition temperatures of polymer mixtures
journal, June 1984


Global long-range transport and lung cancer risk from polycyclic aromatic hydrocarbons shielded by coatings of organic aerosol
journal, January 2017

  • Shrivastava, Manish; Lou, Silja; Zelenyuk, Alla
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 6
  • DOI: 10.1073/pnas.1618475114

Trends in particle-phase liquid water during the Southern Oxidant and Aerosol Study
journal, January 2014

  • Nguyen, T. K. V.; Petters, M. D.; Suda, S. R.
  • Atmospheric Chemistry and Physics, Vol. 14, Issue 20
  • DOI: 10.5194/acp-14-10911-2014

Technical Note: New methodology for measuring viscosities in small volumes characteristic of environmental chamber particle samples
journal, January 2013

  • Renbaum-Wolff, L.; Grayson, J. W.; Bertram, A. K.
  • Atmospheric Chemistry and Physics, Vol. 13, Issue 2
  • DOI: 10.5194/acp-13-791-2013

Do atmospheric aerosols form glasses?
journal, January 2008

  • Zobrist, B.; Marcolli, C.; Pedernera, D. A.
  • Atmospheric Chemistry and Physics, Vol. 8, Issue 17
  • DOI: 10.5194/acp-8-5221-2008

Size dependence of phase transitions in aerosol nanoparticles
journal, January 2015

  • Cheng, Yafang; Su, Hang; Koop, Thomas
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms6923

An amorphous solid state of biogenic secondary organic aerosol particles
journal, October 2010

  • Virtanen, Annele; Joutsensaari, Jorma; Koop, Thomas
  • Nature, Vol. 467, Issue 7317
  • DOI: 10.1038/nature09455

The melting behavior of organic materials confined in porous solids
journal, December 1990

  • Jackson, Catheryn L.; McKenna, Gregory B.
  • The Journal of Chemical Physics, Vol. 93, Issue 12
  • DOI: 10.1063/1.459240

Consideration of the Gibbs Theory of Surface Tension
journal, August 1948

  • Tolman, Richard C.
  • The Journal of Chemical Physics, Vol. 16, Issue 8
  • DOI: 10.1063/1.1746994

Solid-liquid transition in ultra-fine lead particles
journal, May 1995


Viscosity of concentrated sucrose and trehalose aqueous solutions including the supercooled regime
journal, September 2008

  • Longinotti, M. Paula; Corti, Horacio R.
  • Journal of Physical and Chemical Reference Data, Vol. 37, Issue 3
  • DOI: 10.1063/1.2932114

Impactor Apparatus for the Study of Particle Rebound: Relative Humidity and Capillary Forces
journal, October 2013


Liquid Fragility and the Glass Transition in Water and Aqueous Solutions
journal, August 2002


Entropy of Mixing and the Glass Transition of Amorphous Mixtures
journal, August 2008


Reactive Uptake of Isoprene Epoxydiols Increases the Viscosity of the Core of Phase-Separated Aerosol Particles
journal, May 2019


Viscosity of  -pinene secondary organic material and implications for particle growth and reactivity
journal, April 2013

  • Renbaum-Wolff, L.; Grayson, J. W.; Bateman, A. P.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 20
  • DOI: 10.1073/pnas.1219548110

Evaporation kinetics and phase of laboratory and ambient secondary organic aerosol
journal, January 2011

  • Vaden, T. D.; Imre, D.; Beranek, J.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 6
  • DOI: 10.1073/pnas.1013391108

Prediction of cloud condensation nuclei activity for organic compounds using functional group contribution methods
journal, January 2016

  • Petters, M. D.; Kreidenweis, S. M.; Ziemann, P. J.
  • Geoscientific Model Development, Vol. 9, Issue 1
  • DOI: 10.5194/gmd-9-111-2016

Effect of varying experimental conditions on the viscosity of α -pinene derived secondary organic material
journal, January 2016

  • Grayson, James W.; Zhang, Yue; Mutzel, Anke
  • Atmospheric Chemistry and Physics, Vol. 16, Issue 10
  • DOI: 10.5194/acp-16-6027-2016

Nanosize effect on the hygroscopic growth factor of aerosol particles
journal, January 2006

  • Biskos, G.; Russell, L. M.; Buseck, P. R.
  • Geophysical Research Letters, Vol. 33, Issue 7
  • DOI: 10.1029/2005GL025199

Mass-based hygroscopicity parameter interaction model and measurement of atmospheric aerosol water uptake
journal, January 2013

  • Mikhailov, E.; Vlasenko, S.; Rose, D.
  • Atmospheric Chemistry and Physics, Vol. 13, Issue 2
  • DOI: 10.5194/acp-13-717-2013

Bounce behavior of freshly nucleated biogenic secondary organic aerosol particles
journal, January 2011

  • Virtanen, A.; Kannosto, J.; Kuuluvainen, H.
  • Atmospheric Chemistry and Physics, Vol. 11, Issue 16
  • DOI: 10.5194/acp-11-8759-2011

Amorphous phase state diagrams and viscosity of ternary aqueous organic/organic and inorganic/organic mixtures
journal, January 2018

  • Marsh, Aleksandra; Petters, Sarah Suda; Rothfuss, Nicholas Ernest
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 22
  • DOI: 10.1039/C8CP00760H

Coalescence-based assessment of aerosol phase state using dimers prepared through a dual-differential mobility analyzer technique
journal, August 2016


The viscosity of atmospherically relevant organic particles
journal, March 2018


Heterogeneous nucleation of ice particles on glassy aerosols under cirrus conditions
journal, March 2010

  • Murray, Benjamin J.; Wilson, Theodore W.; Dobbie, Steven
  • Nature Geoscience, Vol. 3, Issue 4
  • DOI: 10.1038/ngeo817

Size-Dependent Melting of Silica-Encapsulated Gold Nanoparticles
journal, March 2002

  • Dick, Kimberly; Dhanasekaran, T.; Zhang, Zhenyuan
  • Journal of the American Chemical Society, Vol. 124, Issue 10
  • DOI: 10.1021/ja017281a

Characterization of the temperature and humidity-dependent phase diagram of amorphous nanoscale organic aerosols
journal, January 2017

  • Rothfuss, Nicholas E.; Petters, Markus D.
  • Physical Chemistry Chemical Physics, Vol. 19, Issue 9
  • DOI: 10.1039/C6CP08593H

A single parameter representation of hygroscopic growth and cloud condensation nucleus activity – Part 2: Including solubility
journal, January 2008

  • Petters, M. D.; Kreidenweis, S. M.
  • Atmospheric Chemistry and Physics, Vol. 8, Issue 20
  • DOI: 10.5194/acp-8-6273-2008

Surface Partitioning in Organic–Inorganic Mixtures Contributes to the Size-Dependence of the Phase-State of Atmospheric Nanoparticles
journal, July 2016

  • Werner, Josephina; Dalirian, Maryam; Walz, Marie-Madeleine
  • Environmental Science & Technology, Vol. 50, Issue 14
  • DOI: 10.1021/acs.est.6b00789

Size-Dependent Melting Temperature of Polymers
journal, February 2003

  • Jiang, Qing; Yang, Chun Cheng; Li, Jian Chen
  • Macromolecular Theory and Simulations, Vol. 12, Issue 1
  • DOI: 10.1002/mats.200390003

Size Matters in the Water Uptake and Hygroscopic Growth of Atmospherically Relevant Multicomponent Aerosol Particles
journal, November 2014

  • Laskina, Olga; Morris, Holly S.; Grandquist, Joshua R.
  • The Journal of Physical Chemistry A, Vol. 119, Issue 19
  • DOI: 10.1021/jp510268p

Composition Domains in Monoterpene Secondary Organic Aerosol
journal, September 2009

  • Heaton, Katherine J.; Sleighter, Rachel L.; Hatcher, Patrick G.
  • Environmental Science & Technology, Vol. 43, Issue 20
  • DOI: 10.1021/es901214p

Observation of viscosity transition in α -pinene secondary organic aerosol
journal, January 2016

  • Järvinen, Emma; Ignatius, Karoliina; Nichman, Leonid
  • Atmospheric Chemistry and Physics, Vol. 16, Issue 7
  • DOI: 10.5194/acp-16-4423-2016

Humidity-dependent phase state of SOA particles from biogenic and anthropogenic precursors
journal, January 2012

  • Saukko, E.; Lambe, A. T.; Massoli, P.
  • Atmospheric Chemistry and Physics, Vol. 12, Issue 16
  • DOI: 10.5194/acp-12-7517-2012

Towards closing the gap between hygroscopic growth and activation for secondary organic aerosol – Part 2: Theoretical approaches
journal, January 2009

  • Petters, M. D.; Wex, H.; Carrico, C. M.
  • Atmospheric Chemistry and Physics, Vol. 9, Issue 12
  • DOI: 10.5194/acp-9-3999-2009

Size-Dependent Melting Properties of Small Tin Particles: Nanocalorimetric Measurements
journal, July 1996


Solid-liquid interfacial energy of pyrene
journal, December 2006

  • Akbulut, S.; Ocak, Y.; Böyük, U.
  • Journal of Applied Physics, Vol. 100, Issue 12
  • DOI: 10.1063/1.2402098

Gas uptake and chemical aging of semisolid organic aerosol particles
journal, June 2011

  • Shiraiwa, M.; Ammann, M.; Koop, T.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 27
  • DOI: 10.1073/pnas.1103045108

Influence of Functional Groups on the Viscosity of Organic Aerosol
journal, December 2016

  • Rothfuss, Nicholas E.; Petters, Markus D.
  • Environmental Science & Technology, Vol. 51, Issue 1
  • DOI: 10.1021/acs.est.6b04478

Viscosities, diffusion coefficients, and mixing times of intrinsic fluorescent organic molecules in brown limonene secondary organic aerosol and tests of the Stokes–Einstein equation
journal, January 2019

  • Ullmann, Dagny A.; Hinks, Mallory L.; Maclean, Adrian M.
  • Atmospheric Chemistry and Physics, Vol. 19, Issue 3
  • DOI: 10.5194/acp-19-1491-2019

Size Dependence of the Structure of Organic Aerosol
journal, October 2013

  • Veghte, Daniel P.; Altaf, Muhammad Bilal; Freedman, Miriam Arak
  • Journal of the American Chemical Society, Vol. 135, Issue 43
  • DOI: 10.1021/ja408903g

Relative humidity-dependent viscosities of isoprene-derived secondary organic material and atmospheric implications for isoprene-dominant forests
journal, January 2015


Glass transition and phase state of organic compounds: dependency on molecular properties and implications for secondary organic aerosols in the atmosphere
journal, January 2011

  • Koop, Thomas; Bookhold, Johannes; Shiraiwa, Manabu
  • Physical Chemistry Chemical Physics, Vol. 13, Issue 43
  • DOI: 10.1039/C1CP22617G

Volatility and Viscosity Are Correlated in Terpene Secondary Organic Aerosol Formed in a Flow Reactor
journal, August 2019

  • Champion, Wyatt M.; Rothfuss, Nicholas E.; Petters, Markus D.
  • Environmental Science & Technology Letters, Vol. 6, Issue 9
  • DOI: 10.1021/acs.estlett.9b00412

Diffusion coefficients of organic molecules in sucrose–water solutions and comparison with Stokes–Einstein predictions
journal, January 2017

  • Chenyakin, Yuri; Ullmann, Dagny A.; Evoy, Erin
  • Atmospheric Chemistry and Physics, Vol. 17, Issue 3
  • DOI: 10.5194/acp-17-2423-2017

Global distribution of particle phase state in atmospheric secondary organic aerosols
journal, April 2017

  • Shiraiwa, Manabu; Li, Ying; Tsimpidi, Alexandra P.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15002

Mixing times of organic molecules within secondary organic aerosol particles: a global planetary boundary layer perspective
journal, January 2017

  • Maclean, Adrian M.; Butenhoff, Christopher L.; Grayson, James W.
  • Atmospheric Chemistry and Physics, Vol. 17, Issue 21
  • DOI: 10.5194/acp-17-13037-2017

Hygroscopic Influence on the Semisolid-to-Liquid Transition of Secondary Organic Materials
journal, November 2014

  • Bateman, Adam P.; Bertram, Allan K.; Martin, Scot T.
  • The Journal of Physical Chemistry A, Vol. 119, Issue 19
  • DOI: 10.1021/jp508521c

A single parameter representation of hygroscopic growth and cloud condensation nucleus activity
journal, January 2007

  • Petters, M. D.; Kreidenweis, S. M.
  • Atmospheric Chemistry and Physics, Vol. 7, Issue 8
  • DOI: 10.5194/acp-7-1961-2007

Using Elemental Ratios to Predict the Density of Organic Material Composed of Carbon, Hydrogen, and Oxygen
journal, December 2011

  • Kuwata, Mikinori; Zorn, Soeren R.; Martin, Scot T.
  • Environmental Science & Technology, Vol. 46, Issue 2
  • DOI: 10.1021/es202525q

Multiphase OH oxidation kinetics of organic aerosol: The role of particle phase state and relative humidity
journal, July 2014

  • Slade, Jonathan H.; Knopf, Daniel A.
  • Geophysical Research Letters, Vol. 41, Issue 14
  • DOI: 10.1002/2014GL060582

Timescales of secondary organic aerosols to reach equilibrium at various temperatures and relative humidities
journal, January 2019


Size dependence of the surface tension and the problem of Gibbs thermodynamics extension to nanosystems
journal, May 2004

  • Samsonov, V. M.; Sdobnyakov, N. Y.; Bazulev, A. N.
  • Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 239, Issue 1-3
  • DOI: 10.1016/j.colsurfa.2004.01.016

Viscous organic aerosol particles in the upper troposphere: diffusivity-controlled water uptake and ice nucleation?
journal, January 2015

  • Lienhard, D. M.; Huisman, A. J.; Krieger, U. K.
  • Atmospheric Chemistry and Physics, Vol. 15, Issue 23
  • DOI: 10.5194/acp-15-13599-2015

Hygroscopicity of secondary organic aerosols formed by oxidation of cycloalkenes, monoterpenes, sesquiterpenes, and related compounds
journal, January 2006

  • Varutbangkul, V.; Brechtel, F. J.; Bahreini, R.
  • Atmospheric Chemistry and Physics, Vol. 6, Issue 9
  • DOI: 10.5194/acp-6-2367-2006

Supercooled liquids and the glass transition
journal, March 2001

  • Debenedetti, Pablo G.; Stillinger, Frank H.
  • Nature, Vol. 410, Issue 6825
  • DOI: 10.1038/35065704

Influence of size effects on the critical diameter and growth of nanoparticles
journal, March 2006

  • Levdanskii, V. V.; Smolik, J.; Moravec, P.
  • Journal of Engineering Physics and Thermophysics, Vol. 79, Issue 2
  • DOI: 10.1007/s10891-006-0089-y

Heterogeneous ice nucleation of viscous secondary organic aerosol produced from ozonolysis of α -pinene
journal, January 2016

  • Ignatius, Karoliina; Kristensen, Thomas B.; Järvinen, Emma
  • Atmospheric Chemistry and Physics, Vol. 16, Issue 10
  • DOI: 10.5194/acp-16-6495-2016

A Classical Thermodynamic Discussion of the Effect of Composition on Glass-Transition Temperatures
journal, January 1978


Prompt deliquescence and efflorescence of aerosol nanoparticles
journal, January 2006

  • Biskos, G.; Paulsen, D.; Russell, L. M.
  • Atmospheric Chemistry and Physics, Vol. 6, Issue 12
  • DOI: 10.5194/acp-6-4633-2006

Deliquescence of small particles
journal, January 2002

  • Russell, Lynn M.; Ming, Yi
  • The Journal of Chemical Physics, Vol. 116, Issue 1
  • DOI: 10.1063/1.1420727

Size-dependent melting temperature of individual nanometer-sized metallic clusters
journal, November 1990


Adsorptive uptake of water by semisolid secondary organic aerosols: Water uptake of SOA
journal, April 2015

  • Pajunoja, Aki; Lambe, Andrew T.; Hakala, Jani
  • Geophysical Research Letters, Vol. 42, Issue 8
  • DOI: 10.1002/2015GL063142

Comment on “Size-Dependent Melting Properties of Small Tin Particles: Nanocalorimetric Measurements”
journal, May 2010


State transformations and ice nucleation in amorphous (semi-)solid organic aerosol
journal, January 2013

  • Baustian, K. J.; Wise, M. E.; Jensen, E. J.
  • Atmospheric Chemistry and Physics, Vol. 13, Issue 11
  • DOI: 10.5194/acp-13-5615-2013

Characterization of a dimer preparation method for nanoscale organic aerosol
journal, June 2019

  • Rothfuss, Nicholas E.; Petters, Sarah S.; Champion, Wyatt M.
  • Aerosol Science and Technology, Vol. 53, Issue 9
  • DOI: 10.1080/02786826.2019.1623379

Thermodynamics of polynuclear aromatic molecules I. Heat capacities and enthalpies of fusion of pyrene, fluoranthene, and triphenylene
journal, January 1971


A Study of Equilibrium Melting of Polyethylene
journal, September 1977

  • Wunderlich, Bernhard; Czornyj, George
  • Macromolecules, Vol. 10, Issue 5
  • DOI: 10.1021/ma60059a006

The Effect of Size-Dependent Nanoparticle Energetics on Catalyst Sintering
journal, October 2002


Integrating phase and composition of secondary organic aerosol from the ozonolysis of  -pinene
journal, May 2014

  • Kidd, C.; Perraud, V.; Wingen, L. M.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 21
  • DOI: 10.1073/pnas.1322558111

Formation of Glasses from Liquids and Biopolymers
journal, March 1995


Role of molecular size in cloud droplet activation
journal, January 2009

  • Petters, M. D.; Kreidenweis, S. M.; Prenni, A. J.
  • Geophysical Research Letters, Vol. 36, Issue 22
  • DOI: 10.1029/2009GL040131

Hygroscopicity frequency distributions of secondary organic aerosols: HYGROSCOPICITY FREQUENCY DISTRIBUTIONS
journal, February 2012

  • Suda, S. R.; Petters, M. D.; Matsunaga, A.
  • Journal of Geophysical Research: Atmospheres, Vol. 117, Issue D4
  • DOI: 10.1029/2011JD016823