Research output: Contribution to journal › Article › peer-review
Dependence of Surface Tension of a Droplet Formed on the Molecular Condensation Nucleus or Ion on the Droplet Radius. / Lebedeva, T. S.; Suh, D.; Shchekin, A. K.
In: Mechanics of Solids, Vol. 55, No. 1, 01.2020, p. 55-61.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Dependence of Surface Tension of a Droplet Formed on the Molecular Condensation Nucleus or Ion on the Droplet Radius
AU - Lebedeva, T. S.
AU - Suh, D.
AU - Shchekin, A. K.
N1 - Lebedeva, T.S., Suh, D. & Shchekin, A.K. Dependence of Surface Tension of a Droplet Formed on the Molecular Condensation Nucleus or Ion on the Droplet Radius. Mech. Solids 55, 55–61 (2020). https://doi.org/10.3103/S0025654420010161
PY - 2020/1
Y1 - 2020/1
N2 - Abstract—The dependence of the thermodynamic surface tension of a small droplet formed on a molecular-size condensation nucleus on the droplet size, nucleus size, molecular field parameters, and nuclear charge in the case of an ion is investigated. Calculations have been performed for molecules of supersaturated argon vapor at different values of the chemical potential of the molecules in the framework of the gradient density functional theory (DFT) and the Carnahan–Starling model to take into account the contribution of hard spheres. The interaction of argon molecules with an uncharged condensation nucleus has been described by the Lennard–Jones potential. In the case of an ion, the long-range Coulomb potential of electric forces is additionally taken into account. The dielectric constant is defined as a function of the local density of the number of argon molecules. As a variable describing the size of the droplet, the radius of the equimolecular surface of the droplet is chosen. The obtained dependences of the surface tension of the droplets have been compared with the dependence of the surface tension on the size of droplet without a condensation nucleus. When the effect of the solvation layer is discarded, the dependence of the surface tension on the radius of the equimolecular surface of a small droplet with a condensation nucleus exhibits similar behavior as in the absence of the nucleus with almost the same negative Tolman correction. The effect of the rigidity constant, however, is clearly influenced by the existence of a condensation nucleus. It is shown that when the first solvation layer is divided around the condensation nucleus, the dependence of surface tension on the radius of the equimolecular surface of a small droplet with a condensation nucleus exhibits similar behavior with almost the same negative Tolman correction as in the absence of a nucleus, but with a different correction, namely, with effective rigidity constant for the surface layer.
AB - Abstract—The dependence of the thermodynamic surface tension of a small droplet formed on a molecular-size condensation nucleus on the droplet size, nucleus size, molecular field parameters, and nuclear charge in the case of an ion is investigated. Calculations have been performed for molecules of supersaturated argon vapor at different values of the chemical potential of the molecules in the framework of the gradient density functional theory (DFT) and the Carnahan–Starling model to take into account the contribution of hard spheres. The interaction of argon molecules with an uncharged condensation nucleus has been described by the Lennard–Jones potential. In the case of an ion, the long-range Coulomb potential of electric forces is additionally taken into account. The dielectric constant is defined as a function of the local density of the number of argon molecules. As a variable describing the size of the droplet, the radius of the equimolecular surface of the droplet is chosen. The obtained dependences of the surface tension of the droplets have been compared with the dependence of the surface tension on the size of droplet without a condensation nucleus. When the effect of the solvation layer is discarded, the dependence of the surface tension on the radius of the equimolecular surface of a small droplet with a condensation nucleus exhibits similar behavior as in the absence of the nucleus with almost the same negative Tolman correction. The effect of the rigidity constant, however, is clearly influenced by the existence of a condensation nucleus. It is shown that when the first solvation layer is divided around the condensation nucleus, the dependence of surface tension on the radius of the equimolecular surface of a small droplet with a condensation nucleus exhibits similar behavior with almost the same negative Tolman correction as in the absence of a nucleus, but with a different correction, namely, with effective rigidity constant for the surface layer.
KW - condensation nucleus
KW - density functional theory
KW - droplet
KW - heterogeneous nucleation
KW - statistical thermodynamics and mechanics
KW - surface tension
KW - VAPOR
KW - CHARGED NUCLEI
KW - STRONG FIELD
KW - THERMODYNAMIC CHARACTERISTICS
KW - BARRIERLESS NUCLEATION
KW - TERMS
UR - http://www.scopus.com/inward/record.url?scp=85089852219&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/f41eb990-b6ca-3ecf-af75-ee950949ee27/
U2 - 10.3103/S0025654420010161
DO - 10.3103/S0025654420010161
M3 - Article
AN - SCOPUS:85089852219
VL - 55
SP - 55
EP - 61
JO - Mechanics of Solids
JF - Mechanics of Solids
SN - 0025-6544
IS - 1
ER -
ID: 62012157