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Bohr’s Hydrogen

Bohr’s Hydrogen. Chapter 5. Chapter 5 Homework. 5.2, 5.3, 5.7, 5.13, 5.17, 5.23 Due Monday 3/03. Classical Problems with Atoms. Orbiting electrons should radiate Atoms should collapse to neutral points. Emission Lines. Hydrogen. Helium. Neon. Sodium.

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Bohr’s Hydrogen

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  1. Bohr’s Hydrogen Chapter 5

  2. Chapter 5 Homework • 5.2, 5.3, 5.7, 5.13, 5.17, 5.23 • Due Monday 3/03

  3. Classical Problems with Atoms • Orbiting electrons should radiate • Atoms should collapse to neutral points

  4. Emission Lines Hydrogen Helium Neon Sodium Source: J. Strasbourg,I. Kiel after J. Tabbot. Data from NIST.

  5. Hydrogen Emission “Thousand Ruby Galaxy” M83Source: European Southern Observatory

  6. Balmer H lines 1/l = R(1/4 – 1/n2) n = 3, 4, 5, …

  7. Rydberg Formula 1/l = R(1/n'2 – 1/n2), n > n' R = “Rydberg” = 1.10×10–2 nm–1

  8. Rydberg Energy hc/l = hcR(1/n'2 – 1/n2) Difference between electron energy levels Electrons fall from nth to n'th level hcR = 13.6 eV

  9. Bohr’s model • Fits H perfectly • Also works for “H-like” ions • Strictly wrong, but important in development of QM • Helps us to see how QM ideas evolve

  10. Bohr’s Postulate • Electron angular momentum is quantizedL = nh • h = h/2p • pronounced “h bar”

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