- #1
exmachina
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In NMR for molecules, one can collapse the nuclear spin wavefunction [tex]\psi_{nucspin} [/tex] by applying the magnetic moment operator [tex]\mu[/tex]. That is, [tex]\psi_{nucspin} [/tex] becomes one of the eigenfunctions of [tex]\mu[/tex]. This physically corresponds to hitting the nuclei with photons in the radiofrequency range.
In the Born-Oppenheimer approximation:
[tex]\Psi_{molecule}\approx \psi_{electron} \psi_{nuclear}[/tex]
Clearly [tex]\psi_{nucspin}[/tex] is one component of [tex]\psi_{nuclear}[/tex], there are other components of [tex]\psi_{nuclear}[/tex] such as [tex]\psi_{nucrotation},\psi_{nucvibration}[/tex], etc.
That is,
[tex]\psi_{nuclear}=f( \psi_{nucrotation},\psi_{nucvibration},\psi_{nucspin})[/tex]
So which operators would I use to collapse [tex]\psi_{nucrotation}[/tex]? What frequency of light would I need?
How do I even go about calculating something like this?
In the Born-Oppenheimer approximation:
[tex]\Psi_{molecule}\approx \psi_{electron} \psi_{nuclear}[/tex]
Clearly [tex]\psi_{nucspin}[/tex] is one component of [tex]\psi_{nuclear}[/tex], there are other components of [tex]\psi_{nuclear}[/tex] such as [tex]\psi_{nucrotation},\psi_{nucvibration}[/tex], etc.
That is,
[tex]\psi_{nuclear}=f( \psi_{nucrotation},\psi_{nucvibration},\psi_{nucspin})[/tex]
So which operators would I use to collapse [tex]\psi_{nucrotation}[/tex]? What frequency of light would I need?
How do I even go about calculating something like this?