¡Hola David, bienvenido aquí!
What sort of work and topic shall it be? You suggest simulations of a chemical reaction, but the tunnel effect is much more frequent and general, so is this required by your professor?
"Tunnel diodes" exist for instance and are a direct application of the tunnel effect. You could find any so-called Zener diode in an electronics lab: if its zener voltage is lower than about 5V it's really a tunnel diode, so measuring a few voltages and currents, plus explaining how the current flows (thanks Wiki) could be a project.
Field emission (Wiki again) is a tunnel effect as well, sometimes used as the electron source in microscopes, and many researchers would like to use it for flat display sceens. Analytic models exist, not completely obvious nor extremely accurate.