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De Broglie Waves, Uncertainty, and Atoms

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De Broglie Waves, Uncertainty, and Atoms

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    1. De Broglie Waves, Uncertainty, and Atoms

    2. Three Early Indications of Problems with Classical Physics Blackbody radiation Photoelectric effect Wave-particle duality

    3. Compton Scattering

    4. Compton Scattering Incident photon loses momentum, since it transfers momentum to the electron Lower momentum means longer wavelength This is proof that a photon has momentum

    5. Is Light a Wave or a Particle? Wave Electric and Magnetic fields act like waves Superposition, Interference, and Diffraction Particle Photons Collision with electrons in photo-electric effect Compton scattering from electrons BOTH Particle AND Wave

    6. ACT: Photon Collisions Photons with equal energy and momentum hit both sides of the plate. The photon from the left sticks to the plate, the photon from the right bounces off the plate. What is the direction of the net impulse on the plate? 1) Left 2) Right 3) Zero

    7. Radiometer

    8. Ideal Radiometer

    9. Our Radiometer

    10. Electrons are Particles and Waves! Depending on the experiment electron can behave like wave (interference) particle (localized mass and charge) Recall Young’s double slit experiment: If we measure which slit the electron went through, then there is no interference pattern!!

    11. De Broglie Waves

    12. Preflight 23.3

    13. ACT: De Broglie Wavelength

    14. Some Numerology 1 eV = energy gained by a charge +e when accelerated through a potential difference of 1 Volt e = 1.6 x 10-19 C so 1 eV = 1.6 x 10-19 J h = 6.626 x 10-34 J·sec c = 3 x 108 m/s hc = 1.988 x 10-25 J·m = 1240 eV·nm mass of electron m = 9.1 x 10-34 kg mc2 = 8.2 x 10-13 J = 511,000 eV = 511 keV

    15. Comparison: Wavelength of Photon vs. Electron

    16. X-ray vs. electron diffraction

    17. Preflights 23.4, 23.5

    18. ACT: De Broglie Compare the wavelength of a bowling ball with the wavelength of a golf ball, if each has 10 Joules of kinetic energy. (1) lbowling > lgolf (2) lbowling = lgolf (3) lbowling < lgolf

    19. Heisenberg Uncertainty Principle

    23. 51% correct51% correct

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