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Non-collinear magnetism and paramagnetism, are they the same thing?

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No, non-collinear magnetism is more related to ferromagnetism and anti-ferromagnetism in that there is a set orientation of magnetic moments even absent an applied field, but unlike ferromagnetism and anti-ferromagnetism the spins are oriented neither parallel nor anti-parallel, for example in a helical pattern. In paramagnetism, spins are randomly oriented absent an applied field, but orient when a field is applied.

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