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Atoms and Nuclei Nucleus radius: 1x10-15 Atom radius: 1x10-10 • If the nucleus was the same size as the sun, how far would the electrons be from it? Spectra (Hydrogen) 1/λ = R(1/N2 – 1/n2) R = 1.097x107 m-1 • What are the min. and maximum values for the wavelengths emitted when hydrogen falls to the N=2 state (Balmer Series) Bohr Model • rn = (5.29x10-11) n2/Z (m) • En = (-2.18x10-18) Z2/n2 (J) • En = (-13.6) Z2/n2 (eV) Z = Atomic # n = orbital # Bohr Model F = kq1q/r2 and ac = v2/r. Since F = ma, we have kQq/r2 = mv2/r. Thus mv2 = kQq/r. This means that 2KE = -EPE Quantum Physics Nuclear Structure A=Z+N • A = nucleon # or atomic mass number • Z = number of protons • N = number of neutrons • r = (1.2 x 10-15)* A1/3 m • The density of nuclei are approx. the same. Nuclear Fission/Fusion E = mc2 Radioactivity U Th + H Th Pa + e P P + γ