An innovative model for correlating surface tension, solubility parameters, molar volume and ratio of the coordination numbers of liquid metals, based on Stefan's rule

Pereira, Cláudio Nunes; Vebber, Guilherme Cañete

doi:10.1016/j.surfin.2018.07.004

Cited by 10 publications

(6 citation statements)

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“…and equalizing it with its definition in Eq . , we proposed in a previous study the following equation for application to liquid metals:

δ_{T} = 2.806 {(\frac{Z}{Z_{S}} \frac{σ_{L}}{V^{1 / 3}})}^{1 / 2}

where

((), \frac{Z}{Z_{S}})

is the reciprocal of the ratio of the coordination numbers, δ T is the solubility parameter ( MPa 1/2 ), σ L = surface tension (mN m −1 ) and 2.806 is an empirical constant .…”

Section: Introductionmentioning

confidence: 99%

“…Equation corresponds to the Hildebrand solubility parameter adjusted for surface tension. In a previous study, the authors discussed the importance of the correction of solubility parameters to surface tension in applications that rely largely on surface phenomena .…”

Section: Introductionmentioning

confidence: 99%

“…6 and equalizing it with its definition in Eq. 5, we proposed in a previous study [25] the following equation for application to liquid metals:…”

Section: Introductionmentioning

confidence: 99%

“…where Z Z S is the reciprocal of the ratio of the coordination numbers, δ T is the solubility parameter (MPa 1/2 ), σ L = surface tension (mN m −1 ) and 2.806 is an empirical constant [25]. Rearranging the terms in Eq.…”

Section: Introductionmentioning

confidence: 99%

“…Equation 7 corresponds to the Hildebrand solubility parameter adjusted for surface tension. In a previous study, the authors discussed the importance of the correction of solubility parameters to surface tension in applications that rely largely on surface phenomena [25]. Equation 8, although more accurate than the traditional Skaarup-Beerbower method [24] based on the Hansen solubility parameter (see section), it has a limited prediction accuracy for the surface tension parameter.…”

Section: Introductionmentioning

confidence: 99%

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A Relationship Between the Heat of Vaporization, Surface Tension, and the Solubility Parameters, Which Includes the Ratio of the Coordination Numbers, Based on Stefan's Rule

Pereira¹,

Vebber

2018

Polymer Engineering & Sci

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The correct calculi of surface tension and solubility parameters are of paramount importance for many fields of chemical engineering and materials design, such as encapsulation methods (which use the mean field theory), dispersion of nanopowders, phase compatibility in chemical blends and nanocomposites, among others. The solubility parameters play a key role in these applications along with the surface tension. Until now, the relationship between solubility parameters and surface tension was only indirect, through the Skaarup–Beerbower formula, although well‐known physicochemical rules, such as Stefan's rule, could be applied to them directly, as shown in this study. The prediction of both the solubility parameters and surface tension within chemical groups can be obtained with high accuracy using critical temperature and molar volume, parameters easily found in the literature. The proposed rules are original, simple and have direct practical applications for the development of new materials. POLYM. ENG. SCI., 59:E312–E321, 2019. © 2018 Society of Plastics Engineers

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“…and equalizing it with its definition in Eq . , we proposed in a previous study the following equation for application to liquid metals:

δ_{T} = 2.806 {(\frac{Z}{Z_{S}} \frac{σ_{L}}{V^{1 / 3}})}^{1 / 2}

where

((), \frac{Z}{Z_{S}})

is the reciprocal of the ratio of the coordination numbers, δ T is the solubility parameter ( MPa 1/2 ), σ L = surface tension (mN m −1 ) and 2.806 is an empirical constant .…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…6 and equalizing it with its definition in Eq. 5, we proposed in a previous study [25] the following equation for application to liquid metals:…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations