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Shimming: Theory and Practice - UCLA-DOE

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Heres a simple example: 1 shim (z), 3 spatial positions<br />

a 1 a 1 z 1<br />

a 2 z 1 = a 2 z 1<br />

a 3 a 3 z 1<br />

A<br />

s<br />

a 1 z 1 – b 1<br />

a 2 z 1 – b 2<br />

a 3 z 1 – b 3<br />

To get the optimal shim settings, the square<br />

of this vector must be minimized.<br />

A . s - b<br />

Bruker uses 128x32x32 points (that is: 32 increments in each of the G x<br />

<strong>and</strong> G y dimensions, <strong>and</strong> 128 points in the acquisition) with a field of view<br />

of 28x6.4x6.4 mm.<br />

So there are 131,072 voxels, roughly 35,000 of which are contained in<br />

the sample.<br />

Each of these volume elements is 8.8 x 10 -9 liters.

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