So, I understand how the slice selection gradients work in MRI. So, the frequency offset introduced by the slice selection gradient at a location $z$ relative to the MRI isocenter is given by:
$$ \Delta f = \gamma z G_z $$
Putting some numbers to it, for a gradient of 5 mT/m and a slice thickness of 3 mm, we introduce an offset of $639.7$ Hz per slice.
Now, say I have an RF pulse which has a bandwidth of 2000 Hz and a center frequency of 10 kHz. Given the location of the spin along the slice direction, I want to know whether this spin will be excited by the RF pulse or not.
- Is it possible to figure that out from this information?
I have a feeling it should be possible from the relation above but I am not sure how the bandwidth parameter will come into play here.
- Is it a simple matter of checking that if the resonant frequency experienced by the spin falls in the RF center frequency $\pm$ bandwidth / 2.0?