Particle in a Box Calculator
Calculate quantum energy levels for particles in infinite potential wells
Energy Levels
Energy Level E_n
6.0249e-20 J
3.7609e-1 eV
Ground State Energy
6.0249e-20 J
Number of Nodes
0
de Broglie Wavelength
2.0000e-9 m
Momentum
3.3130e-25 kg m/s
Velocity
3.6371e+5 m/s
Wave Function at Position
Wave Function ψ(x)
4.4721e+4
Probability Density |ψ|²
2.0000e+9
Transitions
Energy to n+1
1.8075e-19 J
Transition Frequency
2.7278e+14 Hz
Photon Wavelength
1.0990e-6 m
About Particle in a Box
The particle in a box is a fundamental quantum mechanics model where a particle is confined to a region with infinite potential walls. Energy levels are quantized: E_n = n²h²/(8mL²) for 1D. The wave function must be zero at the walls, leading to standing wave solutions with n-1 nodes.