123B_1_EE 123B W11 lecture 9, chapter 4, 5

123B_1_EE 123B W11 lecture 9, chapter 4, 5 - Chapter 4....

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Unformatted text preview: Chapter 4. Phonons Lecture 9 1/25/11 Last Lecture: Chapter 4 Phonons More on Phonons: Density of states Heat capacity Debye approximation This Lecture Chapter 5 Phonons: Quantization Modes Momentum Scattering Reminder: Homework #4 due Feb. 2 Tuesday 5.1, 5.2, 5.4 See end of lecture Homework Describe the neutron scattering experiments referenced in Chapter 4 Experimental set-up Neutron emission direction How is k[100], k[110], k[111] generated and collected. Describe Raman scattering experiment What is physical basis? What can be learned from these experiments? Contrast Raman with neturon scattering in approach and resulting data. Why do these plots differ in mode #? Discuss momentum and energy conservation. Derive Density of States 1D s=0 1 2 s=10 a u s L Fixed Fixed Real space 10 a 2 10 a 10 10 a K Reciprocal space Each normal vibrational mode of polarization p has the form of a standing wave. Displacement of the particle s : , (0)exp( )sin s K p u u i t sKa =- K,p is related to K by the appropriate dispersion relation. In class work: s=0 1 2 s=10 a u s L Fixed Fixed Real space...
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123B_1_EE 123B W11 lecture 9, chapter 4, 5 - Chapter 4....

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