Dual Nature of Radiation & Matter

Animated photons knock electrons out of metals — Einstein's KE_max = hf − φ with 4 metal choices.

KE_max vs f plot — zero below f₀ = φ/h, linear slope h above. Compare 4 metals.

Parallel lines of slope h/e = 4.14 × 10⁻¹⁵ V·s — same slope, different intercepts per metal.

Higher intensity → more photoelectrons → higher saturation current. Same V_s across intensities.

eV_s = hf − φ — split view: I–V curve + V_s vs f plot with live point.

Double-slit with wave, particle, and both modes — see interference fringes build from discrete hits.

λ = h/(mv) — Gaussian wavepacket across 4 particle types from electron to dust.

Bragg diffraction 2d sinθ = nλ — Ni crystal lattice + I vs θ plot with n=1,2,3 peaks.

Traveling Gaussian ψ(x,t) in position + |φ(k)|² in momentum — two reciprocal views.

Δx · Δp ≥ ℏ/2 — tune position spread; momentum spread responds inversely. Live product.