An introduction to Solid State NMR and its Interactions
An introduction to Solid State NMR and its Interactions
An introduction to Solid State NMR and its Interactions
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The spin opera<strong>to</strong>rs<br />
I= 3 2<br />
I =I X<br />
I Y<br />
I Z<br />
<br />
I Z<br />
∣m 〉=m∣m 〉<br />
I ∣m 〉= I I1−mm1∣m1 〉<br />
I −<br />
∣m 〉= I I1−mm−1∣m−1 〉<br />
0 0 0<br />
0 1/2 0 0<br />
I Z =3/2<br />
0 0 −1/2 0<br />
0 0 0 −3/2<br />
I X = 1 2 I I − <br />
I Y = 1 2 I −i I − <br />
3/2 0 0<br />
I =0 <br />
0 0 2 0<br />
0 0 0 3/2<br />
0 0 0 0<br />
=<br />
0 0 0 0<br />
0<br />
I<br />
3/2 0 0 0<br />
−<br />
0 2 0 0<br />
0 0 3/2
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