Determining Bond Length with Wavelengths

AI Thread Summary
To calculate the bond length of the NaCl molecule using the given wavelengths for rotational transitions, the moment of inertia (I) must be determined using the equation I = h*wavelength/4pi*speed of light. The three wavelengths provided (23.1 mm, 11.6 mm, and 7.71 mm) can be used to find the differences in energy levels, which relate to the allowed transitions of a rotating diatomic molecule. Understanding the relationship between energy, moment of inertia, and rotational transitions is crucial for solving the problem. Further exploration of the allowed energy levels and transitions in diatomic molecules is recommended for clarity. The solution requires careful analysis of the wavelengths and their implications on molecular rotation.
PeachBanana
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Homework Statement



Calculate the bond length for the NaCl molecule given that three successive wavelengths for rotational transitions are 23.1 mm, 11.6, mm and 7.71 mm.


Homework Equations



I = h*wavelength/4pi*speed of light.

The Attempt at a Solution



I don't understand how to incorporate the wavelengths.
But the thing is, I have three wavelengths, not one. Should I take the difference between the three?
 
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