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

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

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- 68 -<br />

5.7.1 THE SOLID ECHO PULSE SEQUENCE<br />

For a dipolar coupled spin system it may be shown (70,71)<br />

that at resonance the transient response following a 90-T-9090<br />

pulse sequence is given by the power series<br />

(t' - T)<br />

M*(t' - T) =1-M<br />

2+M<br />

(t' - T) 4+M<br />

6t' 2T2<br />

-<br />

y22.4 4.4E 4!<br />

t' is the time measured from the second pulse, T is the time between<br />

the two pulses and M4E is an error term defined by Mansfield<br />

It follows from equation (2.20) that when the product t'T is small<br />

the response following the second pulse closely resembles the FID.<br />

In practice the pulse lengths and the detection axis of the<br />

PSD were adjusted for maximum signal. The phase of the second<br />

pulse was set so that the response from a single such pulse was<br />

zero, and T was fixed so that the echo maximum occurred immediately<br />

after the dead time of the second pulse. The echo shape was then<br />

recorded with the signal averager.<br />

5.7.2 JEENER AND BROCKAERT 'ZERO TIP-1E' SEQUENCE<br />

The results obtained from the aluminium samples with the<br />

solid echo sequence were confirmed in part by using a<br />

90 90 t-90_90-T-90 90 pulse sequence. In this sequence the magnet-<br />

ization in the rotating frame My(t) is transferred back to the z<br />

direction by the application of the second pulse 1800 out of phase<br />

with the first. After a time T> T2 the transverse magnetization<br />

has disappeared so that, providing T« T1, the amplitude of any<br />

(71)<br />

0<br />

+ ...

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