| SETTING UP YOUR EXPERIMENT | ||||
| Designing an NMR experiment: | ||||
| Pulse width (continued). | ||||
| The maximum signal is obtained when the magnetization is tipped through 90o, so that it lies along the +x axis, as shown below (move your mouse over the image to re-run): | ||||
| This is accomplished by simply using a sufficiently long pulse. In fact, the relationship between tip angle and pulse width (or pulse length) is simple - to double the tip angle, double the pulse width. Thus, if a 90o pulse is 6 msec long, a 45o pulse will be 3 msec, and a 30o pulse, 2 msec. In this way, the magnetization can be tipped through any angle desired. A 12 msec pulse is equivalent to 180o, after which the magnetization lies along the -z axis: | ||||
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However,
note that the projection of the resulting magnetization onto the +x
axis is zero; a 180o pulse generates no observeable signal.
A pulse of 18 msec tips the magnetization
through 270o, placing it on the -x axis, producing
a signal of maximum magnitude but negative sign (which would appear
inverted, or upside-down, in the final spectrum). A (24
msec) places the magnetization back on the +z axis, also
giving no signal. Note that a 360o pulse is not the
same as the equilibrium value. The system must return to equilibrium
by tracing its way backwards through all 360 degrees.
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NOTE: Pulse angles are often given in radians, so that : p/4 = 45o; 2p/3 = 60o; p/2 = 90o; p = 180o; 3p/2 = 270o; 2p = 360o, and so on. ANOTHER NOTE: The pulse angle to time conversions given above (such as 90o = 6msec) are examples only. The exact conversion factor varies from instrument to instrument, and can, in fact, change with time on a given spectrometer, depending on equipment conditions. |
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