4. Show that the internal energy, U, of an Einstein crystal is given by: U 3Nhv 3Nhvexp(-ßhv) 2 1- exp(-Bhv) + Hint: The following identity will avoid you having to use the chain rule: d In(1− ef(x)) = ¯¯(ƒ '(x)) e^ . f(x) dx 1-e
4. Show that the internal energy, U, of an Einstein crystal is given by: U 3Nhv 3Nhvexp(-ßhv) 2 1- exp(-Bhv) + Hint: The following identity will avoid you having to use the chain rule: d In(1− ef(x)) = ¯¯(ƒ '(x)) e^ . f(x) dx 1-e
Related questions
Question
100%

Transcribed Image Text:4. Show that the internal energy, U, of an Einstein crystal is given by:
3Nhv 3Nhv exp(-ßhv)
1- exp(-Bhv)
+
2
U =
Hint: The following identity will avoid you having to use the chain rule:
d |In(1-ef(x)) = −(ƒ '(x)) e²
dx
1-e
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 4 images

Follow-up Questions
Read through expert solutions to related follow-up questions below.