- #1

dscot

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## Homework Statement

This is a two part question I can do about half of each but get a little lost when trying to finish.

I have written all the values below but just in case the full question is here (sorry about clarity) - http://screencast.com/t/jHQTMFnYOhp

λ = 308nm

T = 2000K

population of ground state (j=0) is 3.6*10

^{10}cm

**(i)**So we are trying to calculate the spacing (in cm

^{-1}) between the ground rotational state and the j =6.

**(ii)**The population of the rotational state j =6

## Homework Equations

(i)

ε

_{j}= BJ(J+1)

g

_{j}= 2J+1

(ii)

Nj/Nd = g

_{j}exp( -ε

_{j}/ KT)

## The Attempt at a Solution

(i)

gj = (2*6) + 1 = 13 but this is only degeneracy

can also try:

wave number = 1 /λ = 1/308*10

^{-9}but this is only the wave number of j=0 and not he distance between j = 0 --> 6?(ii)

use:

Nj/Nd = g

_{j}exp( -ε

_{j}/ KT)

We know g

_{j}, K, T Just need ε

_{j}but how as we don't have a value for B?

Sorry if this is confusing and please let me know if I can clear anything up!

Thanks

David

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