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Just as it says above... I cannot find a straight answer, and I have tried...

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I found this schematic in a power point presentation that may help:

sterngerlach schematic

Particles with non-zero magnetic moment are deflected, due to the magnetic field gradient, from a straight path

So it is not the north or south pole that makes the difference , but the orientations of the incoming magnetic moments interacting with the gradient of the magnetic field. In this illustration of the south poles point towards either north or south depending on the moments angle with the direction of the beam.

The answer is, they go to either pole.

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