Surface charge

A surface charge is an electric charge present on a two-dimensional surface. These electric charges are constrained on this 2-D surface, and surface charge density, measured in coulombs per square meter (C•m−2), is used to describe the charge distribution on the surface. The electric potential is continuous across a surface charge and the electric field is discontinuous, but not infinite; this is unless the surface charge consists of a dipole layer. In comparison, the potential and electric field both diverge at any point charge or linear charge. In physics, at equilibrium, an ideal conductor has no charge on its interior; instead, the entirety of the charge of the conductor resides on the surface. However, this only applies to the ideal case of infinite electrical conductivity; the majority of the charge of an actual conductor resides within the skin depth of the conductor's surface. For dielectric materials, upon the application of an external electric field, the positive charges and negative charges in the material will slightly move in opposite directions, resulting in polarization density in the bulk body and bound charge at the surface. In chemistry, there are many different processes which can lead to a surface being charged, including adsorption of ions, protonation or deprotonation, and, as discussed above, the application of an external electric field. Surface charge emits an electric field, which causes particle repulsion and attraction, affecting many colloidal properties. Surface charge practically always appears on the particle surface when it is placed into a fluid. Most fluids contain ions, positive (cations) and negative (anions). These ions interact with the object surface. This interaction might lead to the adsorption of some of them onto the surface. If the number of adsorbed cations exceeds the number of adsorbed anions, the surface would have a net positive electric charge. Dissociation of the surface chemical group is another possible mechanism leading to surface charge.

Density

Surface charge density is defined as the amount of electric charge, q, that is present on a surface of given area, A:

σ = q A {\displaystyle \sigma ={\frac {q}{A}}}

Conductors According to Gauss’s law, a conductor at equilibrium carrying an applied current has no charge on its interior. Instead, the entirety of the charge of the conductor resides on the surface, and can be expressed by the equation:

σ = E ε 0 {\displaystyle \sigma =E\varepsilon _{0}}

where E is the electric field caused by the charge on the conductor and ε 0 {\displaystyle \varepsilon _{0}} is the permittivity of the free space. This equation is only strictly accurate for conductors with infinitely large area, but it provides a good approximation if E is measured at an infinitesimally small Euclidean distance from the surface of the conductor.

Colloids and immersed objects

When a surface is immersed in a solution containing electrolytes, it develops a net surface charge. This is often because of ionic adsorption. Aqueous solutions universally contain positive and negative ions (cations and anions, respectively), which interact with partial charges on the surface, adsorbing to and thus ionizing the surface and creating a net surface charge. This net charge results in a surface potential [L], which causes the surface to be surrounded by a cloud of counter-ions, which extends from the surface into the solution, and also generally results in repulsion between particles. The larger the partial charges in the material, the more ions are adsorbed to the surface, and the larger the cloud of counter-ions. A solution with a higher concentration of electrolytes also increases the size of the counter-ion cloud. This ion/counterion layer is known as the electric double layer. A solution's pH can also greatly affect surface charge because functional groups present on the surface of particles can often contain oxygen or nitrogen, two atoms which can be protonated or deprotonated to become charged. Thus, as the concentration of hydrogen ions changes, so does the surface charge of the particles. At a certain pH, the average surface charge will be equal to zero; this is known as the point of zero charge (PZC). A list of common substances and their associated PZCs is shown to the right.

Interfacial potential An interface is defined as the common boundary formed between two different phases, such as between a solid and gas. Electric potential, or charge, is the result of an object's capacity to be moved in an electric field. An interfacial potential is thus defined as a charge located at the common boundary between two phases (for example, an amino acid such as glutamate on the surface of a protein can have its side chain carboxylic acid deprotonated in environments with pH greater than 4.1 to produce a charged amino acid at the surface, which would create an interfacial potential). Interfacial potential is responsible for the formation of the electric double layer, which has a broad range of applications in what is termed electrokinetic phenomena. The development of the theory of the electric double layer is described below.

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