Knight Shift in Metals
Knight Shift in Metals
Knight Shift in Metals
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(3)<br />
<br />
volume<br />
<br />
<strong>in</strong> 3 2<br />
4 3 8<br />
<br />
B d r const a<br />
<br />
3<br />
a 3 3<br />
so-called contact term:<br />
<br />
8<br />
3<br />
<br />
r<br />
<br />
<br />
2<br />
for polarized electrons: er<br />
0 el 0<br />
e Sz<br />
<br />
density of electrons at the nucleus site<br />
Hhf N Be<br />
2<br />
3erNrNe<br />
r<br />
<br />
5<br />
r<br />
8<br />
2 <br />
el 0 N re<br />
r<br />
r<br />
3 <br />
<br />
<br />
S I<br />
N e el<br />
<br />
<br />
Paschen-Back regime<br />
N e Sz Iz<br />
Me<br />
with e Sz e<br />
<br />
N<br />
pauli<br />
B0<br />
N<br />
N S D E<br />
e<br />
2<br />
pauli z B F<br />
B0<br />
<br />
<br />
N = electron density<br />
<strong>Knight</strong> <strong>Shift</strong> K<br />
0<br />
0<br />
Be<br />
8 el<br />
1<br />
K B 3 N <br />
pauli<br />
Important: measure susceptibility at nuclear site.<br />
Magnetic impurity phases are not important.<br />
On the other hand, if I have a pure sample can determ<strong>in</strong>e<br />
NMR<br />
pauli<br />
macroscopic<br />
<br />
<br />
pauli<br />
N<br />
0 2<br />
Examples: <strong>Knight</strong> <strong>Shift</strong> measurements <strong>in</strong> superconductors<br />
B<br />
B 0<br />
SC<br />
normal metal<br />
T c<br />
T
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