To compute surface energy from contact angle, you can use the Young-Laplace equation, which relates the contact angle (θ), surface tension (γ), and surface energy (γ_s) as follows:

cos(θ) = (γ_s - γ_l)/γ

where:

- θ is the contact angle between a liquid droplet and solid surface

- γ_s is the surface energy of the solid surface

- γ_l is the surface tension of the liquid

- γ is the interfacial tension between the liquid and solid

To compute the surface energy (γ_s), you can rearrange the equation as follows:

γ_s = γ_l - γ * cos(θ)

Here's how you can compute the surface energy using the contact angle:

1. Measure the contact angle (θ) between a liquid droplet and the solid surface using a contact angle measurement technique (e.g., goniometer or image analysis software).

2. Measure the surface tension of the liquid (γ_l) using a suitable method (e.g., pendant drop method or Wilhelmy plate method).

3. Determine the interfacial tension (γ) between the liquid and solid by measuring the contact angle of a different liquid with a known surface tension on the same solid surface.

4. Plug the values of γ_l, γ, and θ into the equation γ_s = γ_l - γ * cos(θ).

5. Calculate the surface energy (γ_s) using the equation.

Note: Make sure to use consistent units for all the measurements and constants in the equation.

Hello,

The following paper might help you.

doi.org/10.1007/s10404-021-02455-6