Related simulators
Continue with similar topics in this category — or all 65 in Chemistry.
Bloch Oscillations & Wannier–Stark Ladder
1-D tight-binding electron in uniform field E: semiclassical k(t), Bloch-periodic x(t), and finite-chain Wannier–Stark ladder with spacing ≈ eEa.
Graphene Tight-Binding Band Structure
Honeycomb π tight binding: E(k) along Γ–M–K–Γ, Dirac cones at K and K′ when Δ=0, gap 2Δ from sublattice stagger, and a Brillouin-zone energy map.
Kronig–Penney Bands & Brillouin Zone
Periodic δ-comb model of a 1-D crystal: cos(ka) = cos(qa) + (P/qa) sin(qa). Find allowed energy bands and forbidden gaps from the |·|≤1 corridor, then watch each band fold into the first Brillouin zone k ∈ ±π/a. Free-electron parabola overlaid for reference.
Gaussian Wave Packet
Free spreading: σ(t) from dispersion with ℏ = m = 1; uncertainty intuition.
Polymer Random Coil
Lattice random walk R_g with Flory exponent ν slider (scaling hint vs Gaussian ν = ½).
Coherent State |α⟩ in a Harmonic Oscillator
Animated Gaussian wavefunction of a coherent state |α⟩ in a 1-D harmonic well: rigid σ = 1/√2 packet whose centroid traces the classical orbit ⟨x⟩(t) = √2|α|cos(ωt − φ_α). Side-by-side phase space, |ψ(x,t)|², and ⟨x⟩(t) trace.