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Next: Chapter 31Faraday's Up: Chapter 30How Previous: Ferromagnetism

Paramagnetism

A   paramagnetic material is one whose atoms do have permanent dipole moments, but the magic of ferromagnetism is not active. If a magnetic field is applied to such a material, the dipole moments try to line up with the magnetic field, but are prevented from becoming perfectly aligned by their random thermal motion. Because the dipoles try to line up with the applied field, the susceptibilities of such materials are positive, but in the absence of the strong ferromagnetic effect, the susceptibilities are rather small, say in the range tex2html_wrap_inline3922 to tex2html_wrap_inline2675.

If on the average only a relatively small fraction of the atoms are aligned with the field (say 30% or less), then the magnetization obeys   Curie's law:
displaymath3926

where C is a constant (different for each different material), where T is the temperature in kelvins, and where tex2html_wrap_inline3932 is the applied magnetic field. Curie's law says that if tex2html_wrap_inline3932 is increased, the magnetization increases (the stronger magnetic field aligns more of the dipoles). It also says that if the temperature is increased, the magnetization decreases (the increased thermal agitation helps prevent alignment). Curie's law only works for samples in which only a relatively small fraction of the atoms are aligned, on the average, with the magnetic field. When the aligned fraction becomes larger, Curie's law no longer holds because it predicts that the magnetization just goes up forever with increasing applied magnetic field tex2html_wrap_inline3932. But this can't be true because once the dipoles are 100% aligned, further increases in the magnetization are impossible. When this happens we say that the material is saturated, and further increases in tex2html_wrap_inline3932 or decreases in T will not change the magnetization very much because the atoms are about as aligned as they can get.

When a paramagnetic material is placed in a strong magnetic field, it becomes a magnet, and as long as the strong magnetic field is present, it will attract and repel other magnets in the usual way. But when the strong magnetic field is removed, the net magnetic alignment is lost as the dipoles relax back to their normal random motion.


next up previous
Next: Chapter 31Faraday's Up: Chapter 30How Previous: Ferromagnetism

Ross Spencer
Tue Apr 8 10:33:28 MDT 1997