Contact Angle Surface Energy Conversion

Tantec s half angle method is based on the formula for determining contact angles from the droplet dimensions.

Contact angle surface energy conversion.

2 arc tan h r where. Surface tension of solid of the substrate. When a droplet of a liquid is formed on a flat solid surface the balance on the three phase interface is expressed by young s equation γs γsl γl cosθ 1 where γl is surface tension of liquid θ contact angle between the liquid air interface and the surface γsl is interfacial tension and γs is surface free energy of a solid. The two last mentioned quantities are.

I would like to calculate the surface free energy of solid by using contact angle measurement of liquid by the relation of young s equation. This value corresponds to the surface energy level in the equilibrium. By measuring the contact angle formed by probe liquids with known surface tensions values the surface free energy components are calculated using analysis models. Static contact angles are also used to define the surface free energy i e.

The angle between the droplet outline and the solid surface is the contact angle. The contact angle is measured as the inward angle between the base and the tangent at the point of contact between the liquid and the surface. Where the subscripts s and l stand for the solid s and the liquid l whilst the subscript v stands for vapor. This can occur with a low surface energy solid or a high surface tension liquid such as water.

Static contact angle offers a quick easy and quantitative measurement of wettability. For complete data the advancing receding and static contact angles must be measured. Is contact angle h is the height of a droplet and r is the radius of droplet s base see fig. It is most suitable for relatively smooth and homogenous surfaces.

Static contact angles are by far the most measured wettability values. In this method the contact angle of the surface is measured with several liquids usually water and diiodomethane. Based on the contact angle results and knowing the surface tension of the liquids the surface energy can be calculated. From the contact angle θ determined with one liquid of known surface tension only it is possible to obtain the values of the surface tensions γ sv and γ sl via the equation of state 1.

This may raise the question of how we equate surface energy density units j m 2 with surface tension units n m. ϒ s ϒ sl ϒ l cos θ where the inter facial. In practice this analysis is done automatically by a contact angle meter. The most common way to measure surface energy is through contact angle experiments.

Contact angle ca measurements provide quantitative data on the interfacial energy between a liquid drop and a solid surface.