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History 181B: Modern Physics

Class 23 (3/14/03)
The old quantum theory of atomic structure

 

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Outline Discrete spectra
    Background: Observations and apparatus
    Signatures of the chemical elements
    How are spectral lines produced? Models of oscillating electrons

Returning to Bohr's model
    Hypotheses about light emission: Transitions between orbits
    Fundamental principles: Quantization conditions
    What the (revised) model explains: Spectra, the periodic table
    Correspondence, and its tricks
    The (old) quantum theory of atomic structure

Names and terms
Primary Secondary
discrete spectrum = line spectrum
Gustav Kirchhoff (1824-1887)
Robert Bunsen (1811-1899)
Niels Bohr (1885-1962), NP 1922
Balmer spectrum (of hydrogen)
quantum number
delta E = h nu
J = n (h/2 pi) = n x "h-bar"
correspondence principle
Copenhagen, Munich, Göttingen
Arnold Sommerfeld (1861-1951)
Max Born (1882-1970), NP 1954
perturbation theory, celestial mechanics
prism, diffraction grating
Henry Rowland (1848-1901)
Joseph (von) Fraunhofer (1787-1826)
Werner Heisenberg (1901-1976), NP 1932
Wolfgang Pauli (1900-1958), NP 1945
Zeeman effect, Pieter Zeeman (1865-1943), NP 1902
Stark effect, Johannes Stark (1874-1957), NP 1919
Assignment Cathryn Carson, "The Origins of the Quantum Theory," Beam Line (Stanford Linear Accelerator Center) 30:2 (2000): 6-19, also on the web .

    Second assignment: Read pp. 13-19.
    Why was it a radical step for Bohr to apply the quantum to atomic structure?
    What was the procedure of "quantization"? What was the correspondence principle?
    What two different routes in quantum theory led into the final formulation of a quantum mechanics?
    Extra: How is the story of Bohr's atom told here different from the conventional one from high-school chemistry or physics textbooks?

Copyright © Cathryn Carson 2003