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Pulsed-field gradient nuclear magnetic resonance as a tool for ...

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202<br />

PRICE<br />

Figure 4 An example of a shielded <strong>magnetic</strong> <strong>gradient</strong> coil system in an NMR probe head.<br />

Only the coil <strong>for</strong>mers are shown, and the wires can be imagined to be wound around the<br />

slots on the <strong>for</strong>mers. The primary <strong>gradient</strong> coil produces the constant <strong>gradient</strong> over the<br />

sample volume which is contained within the rf coils. The shield coil is designed to prevent<br />

the <strong>gradient</strong> pulse from affecting outside the <strong>gradient</strong> coils, thereby preventing the generation<br />

of eddy currents adapted from Price et al. Ž 6 ..<br />

In very high <strong>gradient</strong> systems, the actual<br />

<strong>gradient</strong> coils must be air or water cooled. The position of the thermocouple is critical <strong>for</strong><br />

the accuracy and stability of the temperature control. The inclusion of <strong>gradient</strong> coils in the<br />

probe head normally makes the probe more difficult to shim.<br />

to obtain the diffusion tensor Žsee<br />

Part 1,<br />

Anisotropic Diffusion . .<br />

Amplifiers<br />

Ideally, we desire infinitely f<strong>as</strong>t rise and fall times<br />

of the <strong>gradient</strong> pulses. In practice, there are two<br />

factors which limit the maximum current switching<br />

speed; the first is that the power supply voltage<br />

must equal RI LdIdt, where I is the<br />

current and L and R are the load Ži.e.,<br />

<strong>gradient</strong><br />

coils plus leads. inductance and resistance, respectively,<br />

and the second is the slew rate Ži.e.,<br />

the maximum rate of change of the output voltage.<br />

of the power supply. Thus, the amplifier used<br />

must have suitable current and voltage parameters<br />

to drive the <strong>gradient</strong> coil used. Typically rise<br />

and fall times of the <strong>gradient</strong> pulses are on the<br />

order of 50 s.<br />

Since the current through a <strong>gradient</strong> coil induces<br />

heating, which in turn results in a change in<br />

<strong>gradient</strong> coil resistance, the amplitude of the gra-

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