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Quantum & Atomic Physics

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Balmer Series Quantum & Atomic Physics Visible Light Wavelengths (nm) The spectral series of hydrogen atom emission lines resulting from electron transitions dropping from higher levels (n_i ≥ 3) to the n=2 level. 1 / λ = R_H (1 / 2² - 1 / n_i²), n_i = 3, 4, 5... Bell's Theorem Quantum & Atomic Physics Dimensionless Inequality A mathematical theorem proving that no physical theory incorporating local hidden variables can reproduce all predictions of quantum mechanics. |E(a, b) - E(a, b')| + |E(a', b) + E(a', b')| ≤ 2 Bohr Model Quantum & Atomic Physics eV (Energy), m (Orbit Radius) An early semi-classical atomic model proposing that electrons orbit the atomic nucleus only in discrete stationary orbits with quantized angular momentum. L = m v r = n ℏ, E_n = -13.6 eV / n² Bose-Einstein Condensate (BEC) Quantum & Atomic Physics nK (Nanokelvin Temperatures) A state of matter formed by bosons cooled close to absolute zero, where a macroscopic fraction of particles collapse into the lowest quantum state. T_c = (2 π ℏ² / (m k_B)) (n / ζ(3/2))^(2/3) Bosons Quantum & Atomic Physics Dimensionless Particle Class Subatomic particles possessing integer intrinsic spin that obey Bose-Einstein statistics and do not obey the Pauli Exclusion Principle. Spin = 0, 1, 2... Bragg's Law Quantum & Atomic Physics m or nm (Wavelength and Spacing) The mathematical condition for constructive interference of waves scattered from parallel atomic lattice planes in a crystal. n λ = 2 d sin θ