A Theory for the Estimation of Surface and Interfacial Energies. I. Derivation and Application to Interfacial Tension

Girifalco, L. A.; Good, Robert J.

doi:10.1021/j150553a013

Cited by 1,305 publications

(640 citation statements)

References 8 publications

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“…This interfacial tension can be calculated in terms of the surface tensions g h and g w , respectively, of the hydrocarbon and water (i.e., liquid-air interfacial tensions) according to 42,44,45 …”

Section: Determination Of Cmcmentioning

confidence: 99%

The influence of poly(ethylene glycol) on the micelle formation of alkyl maltosides used in membrane protein crystallization

Müh

DiFiore

Zouni

2015

Phys. Chem. Chem. Phys.

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With the aim of better understanding the phase behavior of alkyl maltosides (n-alkyl-b-D-maltosides, C n G 2 ) under the conditions of membrane protein crystallization, we studied the influence of poly(ethylene glycol) (PEG) 2000, a commonly used precipitating agent, on the critical micelle concentration (CMC) of the alkyl maltosides by systematic variation of the number n of carbon atoms in the alkyl chain (n = 10, 11, and 12) and the concentration of PEG2000 (w) in a buffer suitable for the crystallization of cyanobacterial photosystem II. CMC measurements were based on established fluorescence techniques using pyrene and 8-anilinonaphthalene-1-sulfonate (ANS). We found an increase of the CMC with increasing PEG concentration according to ln(CMC/CMC 0 ) = k P w, where CMC 0 is the CMC in the absence of PEG and k P is a constant that we termed the ''polymer constant''. In parallel, we measured the influence of PEG2000 on the surface tension of detergent-free buffer solutions. At PEG concentrations w 4 1% w/v, the surface pressure p s (w) = g(0) À g(w) was found to depend linearly on the PEG concentration according to p s (w) = kw + p s (0), where g (0) is the surface tension in the absence of PEG. Based on a molecular thermodynamic modeling, CMC shifts and surface pressure due to PEG are related, and it is shown that k P = kc(n) + Z, where c(n) is a detergent-specific constant depending inter alia on the alkyl chain length n and Z is a correction for molarity. Thus, knowledge of the surface pressure in the absence of a detergent allows for the prediction of the CMC shift. The PEG effect on the CMC is discussed concerning its molecular origin and its implications for membrane protein solubilization and crystallization.

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Section: Determination Of Cmcmentioning

confidence: 99%

The influence of poly(ethylene glycol) on the micelle formation of alkyl maltosides used in membrane protein crystallization

Müh

DiFiore

Zouni

2015

Phys. Chem. Chem. Phys.

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“…According to Girifalco and Good (1957), the relationship between the solid-liquid interfacial tension and the solid and liquid surface tension can be expressed by the following equation:…”

Section: Adsorption (2013) 19:435-444 439mentioning

confidence: 99%

Adsorption of Triton X-100 and cetyltrimethylammonium bromide mixture with ethanol at nylon-6–solution interface with regard to nylon-6 wettability: I. The effect of adsorption on critical surface tension of nylon-6 wetting

2013

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The contact angle measurements of the aqueous solutions of p-(1,1,3,3-tetramethylbutyl)phenoxypoly(ethylene glycol) (TX-100) and cetyltrimethylammonium bromide (CTAB) mixture with ethanol on nylon-6 were made in the range of the total concentration of CTAB and TX-100 mixture from 1 9 10 -6 to 1 9 10 -3 M and ethanol from 0 to 17.13 M. In the CTAB and TX-100 mixture the mole fraction of TX-100 was equal to 0; 0.2; 0.4; 0.6; 0.8 and 1. On the basis of the obtained results, the critical surface tension of nylon-6 wetting was determined from the dependence of cosine of contact angle and the adhesion tension as a function of the surface tension of the solution. This tension was compared to the components and parameters of nylon-6 surface tension taken from literature and discussed in the light of the surface excess concentration of the surface active agents at the nylon-6-solution interface calculated from the Lucassen-Reynders equation and the Gibbs isotherm.

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“…Regarding different materials 1 and 2, interfacial tension between materials 1 and 2, γ 12, can be derived from surface tensions of each of materials 1 and 2 by Eq. (1) below using a Girifalco-Good equation, 12) γ γ γ φ γ γ β was an experimentally determined value and D. Li and A. W. Neumann calculated it 0.0001247 (m 2 /mJ) 2 . 13) In this study, interfacial tension of interface between two coals contacting with each other was calculated by Eq.…”

Section: Generalization Of the Effect Of Surface Tension Andmentioning

confidence: 99%

Evaluation of Coal Compatibility Effect in Coke Strength by Surface Tension of Semi-coke

Nagayama¹,

Fukada²,

Matsui³

et al. 2017

ISIJ Int.

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A Theory for the Estimation of Surface and Interfacial Energies. I. Derivation and Application to Interfacial Tension

Cited by 1,305 publications

References 8 publications

The influence of poly(ethylene glycol) on the micelle formation of alkyl maltosides used in membrane protein crystallization

The influence of poly(ethylene glycol) on the micelle formation of alkyl maltosides used in membrane protein crystallization

Adsorption of Triton X-100 and cetyltrimethylammonium bromide mixture with ethanol at nylon-6–solution interface with regard to nylon-6 wettability: I. The effect of adsorption on critical surface tension of nylon-6 wetting

Evaluation of Coal Compatibility Effect in Coke Strength by Surface Tension of Semi-coke

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