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Quantum & Atomic Physics

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Heisenberg Uncertainty Principle Quantum & Atomic Physics J·s (Action Units) A fundamental quantum limit stating that canonical conjugate physical variables (such as position and momentum, or energy and time) cannot be simultaneously measured with arbitrary precision. Δx Δp ≥ ℏ / 2, ΔE Δt ≥ ℏ / 2 Hund's Rule of Maximum Multiplicity Quantum & Atomic Physics Dimensionless Rule A rule stating that when filling degenerate atomic orbitals, electrons occupy separate orbitals singly with parallel spins before pairing up. S_total = ∑ s_i (Maximized spin in degenerate orbitals) Hydrogen Spectrum Quantum & Atomic Physics m⁻¹ (Wavenumber) The set of discrete electromagnetic emission and absorption lines produced when the electron in a hydrogen atom transitions between energy levels. 1 / λ = R_H (1 / n_f² - 1 / n_i²) Hyperfine Structure Quantum & Atomic Physics eV or MHz (Small Energy Splitting) Extremely small energy level splittings in atoms caused by interaction between nuclear magnetic moments and electron magnetic fields. ΔE_HFS ∝ I_nucleus · J_electron