Download
slide1 n.
Skip this Video
Loading SlideShow in 5 Seconds..
IV. Vibrational Properties of the Lattice PowerPoint Presentation
Download Presentation
IV. Vibrational Properties of the Lattice

IV. Vibrational Properties of the Lattice

118 Vues Download Presentation
Télécharger la présentation

IV. Vibrational Properties of the Lattice

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

    1. IV. Vibrational Properties of the Lattice

    2. A. Heat CapacityEinstein Model (1907)

    3. Classical Heat Capacity

    4. Einstein Uses Plancks Work

    5. Some Nifty Summing

    6. At lastthe Heat Capacity!

    7. Limiting Behavior of CV(T)

    8. But Lets 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.