Free
Resonance Demonstration
Waves & OscillationsExplore standing wave formation and resonance in a rope with free or f...
Watch how anharmonic molecular forces cause solids to expand with temperature using a slider and step buttons.
Molecules in a solid are bound by an asymmetric potential energy curve: the repulsive side is steep while the attractive side is gentle. When the solid is heated the molecules vibrate with larger energy, reaching farther out on the gentle side than they retreat on the steep side. The average separation therefore increases, producing macroscopic thermal expansion.
In the first step you can drag the right‑hand molecule (or use pull and push buttons) and release it to see the damped oscillation about its equilibrium distance. In later steps a temperature slider raises the vibrational energy; the average distance and the length of a chain or grid of molecules grow visibly. The simulation highlights why a perfectly symmetric spring would not expand.
Students explore how anharmonic potentials lead to expansion, connect microscopic motion to the bulk property of thermal expansion, and compare the behaviour to an ideal harmonic spring, reinforcing concepts in thermodynamics and vibrational physics.