Quantum formulas
14 relations, each one a node in the derivation graph. Every symbol carries a declared base dimension, so every one of them can be checked.
- Bohr Energy Level — E = -2.1798723611·10^-18 / n^2
- Bohr Orbit Radius — r = 5.29177210903·10^-11 · n^2
- Compton Wavelength Shift — Δλ = (h / (m_e·c)) · (1 - cos(θ))
- De Broglie Wavelength — λ = h / p = h / (m·v)
- Heisenberg Energy-Time Uncertainty — ΔE_min = hbar / (2·Δt)
- Particle in a Box Energy — E = (n^2·h^2) / (8·m·L^2)
- Photoelectric Effect — K_max = h·f - φ
- Photon Energy from Wavelength — E = h·c / λ
- Photon Momentum — p = h / λ
- Planck–Einstein Relation — E = h·f
- Rydberg Wavelength — 1 / λ = 1.0973731568·10^7 · (1/n1^2 - 1/n2^2)
- Schrodinger Equation (Time-Dependent) — dpsi_dt = (-(hbar^2/(2·m))·laplacian_psi + V·psi) / hbar
- Uncertainty Principle — dp_min = hbar / (2·dx)
- Wien Peak Photon Energy — E = 2.821·k_B·T
Derive through any of them in the explorer — no account needed.