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Solid State Physics by Heesang Kim at SSU-2007 Chapter 5. Phonon II. (thermal properties)

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Page 1: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Chapter 5. Phonon II. (thermal properties)

Page 2: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 3: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 4: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 5: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 6: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 7: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 8: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 9: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 10: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 11: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 12: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 13: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 14: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 15: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 16: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 17: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 18: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 19: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 20: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 21: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 22: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 23: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 24: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 25: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 26: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 27: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 28: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 29: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 30: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 31: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 32: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 33: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 34: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 35: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Normal(N) process Umklapp(U) process

Page 36: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 37: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 38: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 39: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Size effect at low temp in a clean sample

Page 40: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

Page 41: Chapter 5. Phonon II. (thermal properties)phys-in.ssu.ac.kr/~course/ssp/chap5-phonon_II_thermal_properties.… · Normal(N) process Umklapp(U) process . Solid State Physics by Heesang

Solid State Physics by Heesang Kim at SSU-2007

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