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a) Starting from a genereal formula of desity of States. 2. g(k)dk= Vkdk 2R2 Show that g(w) dw= 3 x Vw°dw for Phonons under the assumption thait the phonohs dre acoustic, meoning U = does not depend on Wor k. b) In a solid of N Cltoms, there are 3N vibrational modes(phonons) with the highat Wp. frequency Wp.

a) Starting from a genereal formula of desity of States. 2. g(k)dk= Vkdk 2R2 Show that g(w) dw= 3 x Vw°dw for Phonons under the assumption thait the phonohs dre acoustic, meoning U = does not depend on Wor k. b) In a solid of N Cltoms, there are 3N vibrational modes(phonons) with the highat Wp. frequency Wp.

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a) Starting from a general fornula of desity of States. g(k) dk= Vkdk 272 Show that g(w) dw= 3x Vw°dw for Phonons under the assumption thait the phonoh dre aicoustic, meaning U = does not depend 3. on W or k. 3N b) In a solid of N atoms, there are vibrational modes(phonons) with the highat frequercy Wp.
Transcribed Image Text:a) Starting from a general fornula of desity of States. g(k) dk= Vkdk 272 Show that g(w) dw= 3x Vw°dw for Phonons under the assumption thait the phonoh dre aicoustic, meaning U = does not depend 3. on W or k. 3N b) In a solid of N atoms, there are vibrational modes(phonons) with the highat frequercy Wp.
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