- #1
richyw
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Homework Statement
An R-branch of a band of a [itex]^1\Sigma - ^1\Sigma[/itex] of CO has its maximum intensity at J'=11. The internuclear distance is 1.1 Ǻ. Estimate the rotational temperature.
Homework Equations
My notes don't even really define what rotational temperature is. They say that the Line strength of the [itex]J' \rightarrow J'-1[/itex] line in the R branch is proportional to[tex]J'e^{-aJ'(J'+1)}[/tex]where[tex]a =\frac{hc B}{kT}[/tex]and B is the rotational constant. My notes also say that this value goes through a maximum value of J' that depends on temperature, so by observing the strongest line I can get the rotational temperature.
The Attempt at a Solution
I have been stuck for awhile on this. Initially I thought that I would need to take the derivative of this function with respect to J', set it equal to zero, plug in J'=11 and then solve for a. But I don't think this is the correct method now...