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  Rotational Raman Spectroscopy
Nuclear Spin Statistics page 1 of 2
   
Practical Navigator
Introduction
The Raman Effect
Experimental Techniques
1. Rotational Raman Spectroscopy
Interpreting the Spectrum
Effect of Bond Length
Centrifugal Distortion
Intensities of Spectral Lines
Nuclear Spin Statistics
2. Real Diatomic Molecules
Temperature
Spectrum of Nitrogen
Isotopic Substitution
Nuclear Spin Statistics
Predict the Spectrum of Oxygen
  Interaction of identical nuclei equidistant from the centre of the molecule can produce intensity alternations of sequential spectral lines.

Q4.5 Explain the difference between a Boson and a Fermion
Q4.6 Write down the total wave function of a diatomic molecule, in terms its constituent wave functions: electronic, rotational and nuclear spin.
Q4.7 Explain what approximations have been made to get to this result.
Q4.8 What is the behaviour of the total wave function upon by the exchange of Boson or Fermion nuclei?

If the nuclear spin I = ½, space quantisation of nuclear spin angular momentum results in the quantum number MI taking values ½ or -½. The nuclear spin wave function yns is usually written as a and b , corresponding to MI = ½ or -½. X nuclei, labelled 1 and 2, can have either or spin wave functions.

_ = _(1)(2) _(1)(2) _(1)(2) _(1)(2) (10)
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