Gibbs-Kelvin equation

Gibbsitic [14762-49-3] Gibbs-Kelvin equation Gibbs phase rule Gibbs s phase rule Gibbs s theorem Gibbs-Thomson equation... 

The vapor pressure of a surface composed of a large number of very small pores, P, is influenced by the radius of the pores, as described by the Gibbs-Kelvin equation ... 

Jjet us consider as an example the case of a saturated vapor which has been suddenly and adiabatically compressed to a vapor pressure P which is in excess of its equilibrium vapor pressure Po at the final temperature T. In order for liquid to form, it must grow by the growth of small droplets. If, however, we consider a very small droplet of the liquid phase present in the vapor, it will have an excess free energy, compared to bulk liquid, that is due to its extra surface. The magnitude of the excess surface energy is 4irrV, where surface tension and r is the radius of the drop. In order for the drop and vapor to be in equilibrium, the vapor pressure P must exceed the saturation vapor pressure Po by an amount which can be calculated from the Gibbs-Kelvin equation... 

Pore size distribution of the micropore system determined by the water adsorption isotherm using the Gibbs-Kelvin equation determined for the macropore system by mercury penetration and mercury or helium displacement, an example is given in Fig. 4-8. 

Buff, F.P., Curved fluid interfaces. I. The generalized Gibbs-Kelvin equation, J. Chem. Phys., 25, 146, 1956. 

The following Gibbs-Kelvin equation is established for the solution saturated with grain with size r (Nielsen 1964) which is given by... 

Gibbs, adsorption equation 277, 278 Gibbs-Kelvin equation 41,45 Gibbsite, xee Aluminum AI(OH)i Goelhite,. see Iron a-FcOOH Graliame relation 238 Growth 38, 42... 

The radius of the critical nucleus is given by the Gibbs-Kelvin equation ... 

Aggregation of primai7 particles bolsters the dissolution-ci7stallization equilibria because the areas close to the contact point between particles (concave surfaces) have smaller solubilities than the areas of positive curvatures (convex surfaces). Gibbs-Kelvin equation (2.5) may be rewritten as... 

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