b.2. Show that the Plank phonon distribution at elevated temperatures can be approximated at s limiting cases. ) T << OD → (n) 1 КВТ ) T » OD → (n) hwq lint: At elevated temperatures ħwa << KBT, we can expand the exponential (take only the first 2 erms).
b.2. Show that the Plank phonon distribution at elevated temperatures can be approximated at s limiting cases. ) T << OD → (n) 1 КВТ ) T » OD → (n) hwq lint: At elevated temperatures ħwa << KBT, we can expand the exponential (take only the first 2 erms).
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Transcribed Image Text:3b.2. Show that the Plank phonon distribution at elevated temperatures can be approximated at
its limiting cases.
a) T < 0D → (n) 1
KBT
b) T » OD → (n) -
ħwq
Hint: At elevated temperatures ħwa « kÃT, we can expand the exponential (take only the first 2
terms).
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