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Related Concept Videos

Contact Angle01:13

Contact Angle

When a solid is dipped inside a liquid, the liquid surface becomes curved near the contact. For some solid–liquid interfaces, the liquid is pulled up along the solid, while for others, the liquid surface is convex or depressed near the solid surface. This phenomenon can be explained using the concept of cohesive and adhesive forces.
The adhesive force is the molecular force between molecules of different materials, that is, between the molecules of the solid and the liquid. The cohesive force...
Calculation of Electric Flux01:25

Calculation of Electric Flux

Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Electric Field at the Surface of a Conductor01:26

Electric Field at the Surface of a Conductor

Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its outer surface, regardless of where they originate.
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...

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Calculation of contact angles from surfactant adsorption isotherms.

Journal of colloid and interface science·2009
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Calculation of contact angle on charged surface.

Stephen Chwastiak1

  • 1steve.chwastiak@alum.mit.edu

Journal of Colloid and Interface Science
|September 20, 2011
PubMed
Summary

Contact angle measurements correlate well with surfactant adsorption on neutral surfaces. For charged hematite surfaces, an electrostatic term is needed to accurately predict contact angles from adsorption data.

Area of Science:

  • Surface Chemistry
  • Colloid Science
  • Electrochemistry

Background:

  • Contact angle measurements predict surface wettability.
  • Surfactant adsorption influences surface properties.
  • Previous work established correlation for neutral hematite surfaces.

Purpose of the Study:

  • To develop a method for calculating contact angles on charged hematite surfaces.
  • To account for electrostatic contributions to contact angle in surfactant-adsorbed systems.
  • To improve the correlation between measured and calculated contact angles.

Main Methods:

  • Acid-base titration to determine hematite surface charge properties (pH-dependent).
  • Measurement of surfactant adsorption isotherms at various pH values.

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  • Development of an electrostatic term to incorporate into contact angle calculations.
  • Main Results:

    • The established correlation between contact angle and surfactant adsorption fails for charged hematite surfaces.
    • An electrostatic term was successfully developed and integrated into the calculation.
    • The modified calculation method showed good agreement with measured contact angles on charged surfaces.

    Conclusions:

    • Electrostatic interactions are critical for accurate contact angle prediction on charged surfaces.
    • The developed electrostatic term enhances the predictive power of surfactant adsorption models.
    • This work provides a more robust method for analyzing hematite-aqueous-surfactant systems.