| SETTING UP YOUR EXPERIMENT | ||||
| Acquire data (continued). | ||||
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However,
recall that most of the nuclei are precessing at rates slightly faster
than the Larmor frequency. In other words, their motion will combine
motion in the x-y plane with a return to equilibrium. This gives
rise to an oscillating signal, as shown below (click on the image to
start; roll your mouse over it to replay). When the magnetization lies
along the the +x axis, the signal is both positive and at a maximum
value, as shown by the red arrow. As it moves toward the +y axis
(90o), the projection (green vector) decreases in intensity,
but is still positive. The signal goes through zero at the +y
axis, then increases (but with negative sign), until it reaches a minimum
at 180o. From this point, it increases steadily, passing
through zero again at 270o.
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| After the magnetization returns to the starting point, on the +x axis, the whole cycle starts over again. The resulting signal, you might recognize, is described by the cosine function: | ||||
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| If you combine this oscillation with the T1-induced exponential decay, the result is a damped cosine wave: | ||||
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| The curve above describes the theoretical behavior of an off-resonance signal, if it were observed for a time equal to the experimental acquisition time plus the pulse delay (assuming the delay is 5-10X T1). However, we have seen that a real NMR FID decays much faster, during the acquisition time alone. Why does the experimental signal decay so much more rapidly than the theoretical? Click below to find out! | ||||
