2D Box: Eigenstates & Degeneracy
This interactive simulator explores 2D Box: Eigenstates & Degeneracy in Chemistry. Particle in a 2-D rectangular infinite well: ψ_{n_x,n_y} ∝ sin(n_xπx/L_x)sin(n_yπy/L_y), E ∝ (n_x/L_x)² + (n_y/L_y)². Toggle a square box (L_x = L_y) to expose the (n_x, n_y) ↔ (n_y, n_x) accidental degeneracy and watch the doublets split as the box deforms. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Chemistry.
Key terms
- box
- eigenstates
- degeneracy
- box 2d degeneracy
- chemistry
How it works
2-D infinite square well: explore the eigenstates ψ_{n_x,n_y} with the energy ladder E ∝ (n_x/L_x)² + (n_y/L_y)². Toggle a square box (L_x = L_y) to see the (n_x, n_y) ↔ (n_y, n_x) accidental degeneracy and the colormap of |ψ|² for each level.
More from Chemistry
Other simulators in this category — or see all 48.
Landau Levels in a Magnetic Field
Charged particle in a uniform B-field: equally-spaced Landau ladder E_n = ℏω_c(n+½) with cyclotron frequency ω_c = qB/m, magnetic length ℓ_B = √(ℏ/qB) and orbit radius r_n = ℓ_B√(2n+1). Animated cyclotron orbit + linear-in-B fan diagram; the n_B = qB/h degeneracy underlies the quantum Hall effect.
Maxwell–Boltzmann vs Eₐ
Translational energy density f(E); shaded fraction above activation energy; compare Arrhenius exp(−Eₐ/RT).
Water P–T Phase Diagram
Qualitative fusion, sublimation, vapor pressure up to critical point — probe labeled regions (pedagogical curves).
Close Packing FCC / BCC / HCP
Coordination numbers, maximal packing η, schematic ABC vs AB stacking beside a BCC cubic cell.
Chromatography Column
Partition chromatography cartoon: Gaussian bands separate as retention on the stationary phase differs.
Michaelis–Menten Kinetics
v vs [S] saturation and Lineweaver–Burk line from slope Km/Vmax and intercept 1/Vmax.