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NNR IN RAPIDLY ROTATED METALS By - Nottingham eTheses ...

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- 13 -<br />

In powdered samples a weak interaction of this form usually<br />

results in an increase in the linewidth and an enhancement of the<br />

wings of the absorption lineshape(4). In cases where the quad-<br />

rupole interaction is large it can no longer be considered as a<br />

perturbation of.; r , and the central ;- transition is also<br />

z<br />

shifted.<br />

2.2.3 FREQUENCY SHIFT MECHANISMS<br />

(a) Chemical Shifts<br />

The chemical shift interaction arises via the magnetic coupling<br />

between the external magnetic field H0 and the motion of electronic<br />

charges. For a fixed value of Ho the nuclear resonance frequency<br />

of any nuclear species depends in principle upon the particular<br />

chemical sample observed. The precession of electrons about H0<br />

produces a diamagnetic contribution to the magnetic field at the<br />

nucleus. Polarization of the electronic orbitals gives rise to<br />

a second order paramagnetic contribution to this field. Although<br />

in most samples the orbital angular momentum is quenched, the<br />

applied field produces an admixing of electronic states which results<br />

in states having non-zero expectation values of angular momentum.<br />

The total additional magnetic field at the nucleus is proportional<br />

to Ho, so the effective field is given by<br />

-eff ' H0(I - Q)<br />

where I is the unit tensor and a is the chemical shift tensor. The<br />

chemical shift interaction may be written

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