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IV. Vibrational Properties of the Lattice

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IV. Vibrational Properties of the Lattice

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    1. IV. Vibrational Properties of the Lattice

    2. A. Heat Capacity—Einstein Model (1907)

    3. Classical Heat Capacity

    4. Einstein Uses Planck’s Work

    5. Some Nifty Summing

    6. At last…the Heat Capacity!

    7. Limiting Behavior of CV(T)

    8. But Let’s Take a Closer Look:

    9. B. The Debye Model (1912)

    10. Details of the Debye Model

    11. C. The Continuous Elastic Solid

    12. D. 1-D Monatomic Lattice

    13. 1-D Monatomic Lattice: Equation of Motion

    14. 1-D Monatomic Lattice: Solution!

    15. Dispersion Relations: Theory vs. Experiment

    16. E. Counting Modes and Finding N(?)

    17. First: finding N(k)

    18. Next: finding N(?)

    19. N(?) at last!

    20. F. The Debye Model Calculation

    21. N(?) in the Debye Model

    22. ?max in the Debye Model

    23. Debye Model: Theory vs. Expt.

    24. Debye Model at low T: Theory vs. Expt.

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