ChemGenius Quantum Mechanics · Sample

Particle in a Box

Quantization from Boundary Conditions

Discover how confining a particle inside a 1D box forces its wavefunction to fit only standing waves — creating quantized energy levels, probability distributions, and the fundamental concept of zero-point energy. This is the canonical introductory model for quantum mechanics in physical chemistry.

What you'll learn

• Explain why energy is quantized in a confined particle
• Sketch the wavefunction ψ_n(x) and identify nodes for any n
• Calculate energy levels and transition energies in eV
• Interpret |ψ|² as a probability density
• Connect the model to UV-Vis absorption in conjugated molecules