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Chapter05 Wave Properties of Matter

Chapter05 Wave Properties of Matter. General Bibliography 1) Various wikipedia , as specified 2) Thornton-Rex, Modern Physics for Scientists & Eng, as indicated. Chapter 05. 5.1 X-Ray Scattering 5.2 de Broglie Waves 5.3 Electron Scattering 5.4 Review of Wave Motion

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Chapter05 Wave Properties of Matter

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  1. Chapter05Wave Properties of Matter General Bibliography 1) Various wikipedia, as specified 2) Thornton-Rex, Modern Physics for Scientists & Eng, as indicated

  2. Chapter 05 • 5.1 X-Ray Scattering • 5.2 de Broglie Waves • 5.3 Electron Scattering • 5.4 Review of Wave Motion • 5.6 Uncertainty Principle • 5.7 Postulates of Quantum Mechanics

  3. Wave-Particle Duality • Particle-Like Behaviors • Rutherford Scattering • Bohr Model • Photoelectric Effect • Compton Scattering • Pair Production • Positron Annihilation • Wave-Like Behaviors • X-Ray Diffraction • Bragg Scattering • Electron Scattering • etc

  4. Von Laue Diffraction Patterns

  5. Bragg Scattering nl = 2 d sinq

  6. Powder X-Ray Diffraction

  7. Davisson & Germer Electron Scattering

  8. Electron Scattering

  9. de Broglie

  10. Basic Wave Review

  11. Superposition of Waves / Fourier Series

  12. Uncertainty Principle for A Simple Case

  13. Mythical “Gaussian” Shaped Wave -- a specially constructed wave packet that has the smallest possible values for both the product DpDx and DEDt

  14. Postulates of Quantum Mechanics • All information that can be known about a particle/system is contained within the wavefunctionY(x,t) • The probability of finding the particle at (x,t) is given byY* Y. • in a region Dx about (x,t) by Y*Y Dx • The probability of finding the particle anywhere is 100% or 1.

  15. Postulates of Quantum Mechanics • Every observable quantity is associated with an “Operator” which is used to extract the information from the wavefunction • The expectation value (aka average) of an observable quantity is given by • The time evolution of the wavefunction is determined by H = Hamiltonian

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