- #1

- 17

- 0

(q + N )*ln(q +N)

I'm Trying to arrive at sterling approximation for the multiplicity for einstein solid where q>>N. Any tips appreciated.

Thanks

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- Thread starter Barley
- Start date

- #1

- 17

- 0

(q + N )*ln(q +N)

I'm Trying to arrive at sterling approximation for the multiplicity for einstein solid where q>>N. Any tips appreciated.

Thanks

- #2

- 1,444

- 2

[tex] q(1 + \frac{N}{q} \ln q(1 + \frac{N}{q}) [/tex]

i gues you could 'expand it using the log expansion

[tex] ln (1+x) = x - \frac{1}{2} x^2 + \frac{1}{3} x^3 - ... [/tex]

- #3

- 17

- 0

I'm going to have to see my prof. on this one. I'll let you know how it works out if you'd like.

- #4

- 13,170

- 741

Daniel.

- #5

- 17

- 0

I've already used the sterling approximation to get the factorials out of the equation and now I'm just hashing it into best form.

many thanks.

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