Landau Levels in a Magnetic Field
This interactive simulator explores Landau Levels in a Magnetic Field in Chemistry. 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. 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: For learners comfortable with heavier math or second-level detail. Typical context: Chemistry.
Key terms
- landau
- levels
- magnetic
- field
- landau levels
- chemistry
How it works
Landau levels of a 2-D charged particle in a perpendicular magnetic field B: the equally-spaced ladder E_n = ℏω_c(n+½), the magnetic length ℓ_B = √(ℏ/qB), the cyclotron radius r_n, and the linear-in-B fan diagram — the building block of the integer quantum Hall effect.
More from Chemistry
Other simulators in this category — or see all 48.
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.
DNA Replication (Schematic)
Fork, leading vs lagging strand, Okazaki fragments — static labeled cartoon.