1. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab Thermal Properties of Solids and The Size Effect Shin Dongwoo 2010-20690

2. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab Contents 5.1 Specific Heat of Solids –5.1.1 Lattice Vibration in Solids : The Phonon gas –5.1.2 The Debye Specific Heat Model –5.1.3 Free Electron Gas in Metals 2

3. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.1 Lattice Vibration in Solids : The Phonon gas 3 Fig. 5.1 The harmonic oscillator model of an atom in a solid. 1.Lattice Vibrations I.Thermal Energy Storage II.Heat Conduction 2.Free electrons for metals I.Electrical transport II.Heat conduction

4. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab The Dulong-Petit law 4

5. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab Einstein Model 5

6. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab Einstein Model 6

7. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 7

8. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 8

9. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 9

10. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 10

11. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 11

12. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 12 Summary

13. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.2 The Debye Specific Heat Model 13

14. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 14

15. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 15

16. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 16

17. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 17

18. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab Sommerfeld expansion 18

19. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 19 =0

20. School of Mechanical and Aerospace Engineering Seoul National University C omputer A ided T hermal D esign L ab 5.1.3 Free Electron Gas in Metals 20