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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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