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© 2006 by Taylor & Francis Group, LLC

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Waterborne Coatings 59<br />

TABLE 3.1<br />

Estimates of Forces Operating During Particle Deformation<br />

Type of Force Operating Estimated Magnitude (N)<br />

Gravitational force on a particle 6.4 × 10 –17<br />

Van der Waals force (separation 5 nm) 8.4 × 10 –12<br />

Van der Waals force (separation 0.2 nm) 5.5 × 10 –9<br />

Electrostatic repulsion 2.8 × 10 –10<br />

Capillary force due to receding water-air interface 2.6 × 10 –7<br />

Capillary force due to liquid bridges 1.1 × 10 –7<br />

Reprinted from: Visschers, M., Laven, J., and Vander Linde, R., Prog. Org. Coat.,<br />

31, 311, 1997. With permission from Elsevier.<br />

colleagues [9] have reported supporting results. They estimated the various forces that<br />

operate during polymer deformation for one system, in which a force of 10 −7 N would<br />

be required for particle deformation. The forces generated <strong>by</strong> capillary water between<br />

the particles and <strong>by</strong> the air-water interface are both large enough. (See Table 3.1.)<br />

Gauthier and colleagues have pointed out that polymer-water interfacial tension<br />

and capillary pressure at the air-water interface are expressions of the same physical<br />

phenomenon and can be described <strong>by</strong> the Young and Laplace laws for surface energy<br />

[5]. The fact that there are two minimum film formation temperatures, one ‘‘wet”<br />

and one "dry," may be an indication that the receding polymer-water interface and<br />

evaporating interstitial water are both driving the film formation (see Section 3.4).<br />

For more in-depth information on the film formation process and important<br />

thermodynamic and surface-energy considerations, consult the excellent reviews <strong>by</strong><br />

Lin and Meier [7]; Gauthier, Guyot, Perez, and Sindt [5]; or Visschers, Laven, and<br />

German [9]. All of these reviews deal with nonpigmented latex systems. The reader<br />

working in this field should also become familiar with the pioneering works of<br />

Brown [10], Mason [11], and Lamprecht [12].<br />

3.3.2 HUMIDITY AND LATEX CURE<br />

Unlike organic solvents, water exists in the atmosphere in vast amounts.<br />

Researchers estimate that the atmosphere contains about 6 × 10 15 liters of water<br />

[13,14]. Because of this fact, relative humidity is commonly believed to affect the<br />

rate of evaporation of water in waterborne paints. Trade literature commonly implies<br />

that waterborne coatings are somehow sensitive to high-humidity conditions. However,<br />

Visschers, Laven, and van der Linde have elegantly shown this belief to be<br />

wrong. They used a combination of thermodynamics and contact-angle theory to<br />

prove that latex paints dry at practically all humidities as long as they are not directly<br />

wetted — that is, <strong>by</strong> rain or condensation [8]. Their results have been borne out in<br />

experiments <strong>by</strong> Forsgren and Palmgren [15], who found that changes in relative<br />

humidity had no significant effect on the mechanical and physical properties of the<br />

cured coating. Gauthier and colleagues have also shown experimentally that latex<br />

<strong>©</strong> <strong>2006</strong> <strong>by</strong> <strong>Taylor</strong> & <strong>Francis</strong> <strong>Group</strong>, <strong>LLC</strong>

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