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Magnetic Susceptibilities

Magnetic Susceptibilities of Paramagnetic and Diamagnetic Materials at 20°C


Material
χm=Km-1
(x 10-5)
Paramagnetic

Iron oxide (FeO)
720
Iron amonium alum
66
Uranium
40
Platinum
26
Tungsten
6.8
Cesium
5.1
Aluminum
2.2
Lithium
1.4
Magnesium
1.2
Sodium
0.72
Oxygen gas
0.19
Diamagnetic

Ammonia
-.26
Bismuth
-16.6
Mercury
-2.9
Silver
-2.6
Carbon (diamond)
-2.1
Carbon (graphite)
-1.6
Lead
-1.8
Sodium chloride
-1.4
Copper
-1.0
Water
-0.91

Here the quantity Km is called the relative permeability, a quantity which measures the ratio of the internal magnetization to the applied magnetic field. If the material does not respond to the magnetic field by magnetizing, then the field in the material will be just the applied field and the relative permeability Km =1. A positive relative permeability greater than 1 implies that the material magnetizes in response to the applied magnetic field. The quantity χm is called magnetic susceptibility, and it is just the permeability minus 1. The magnetic susceptibility is then zero if the material does not respond with any magnetization. So both quantities give the same information, and both are dimensionless quantities.
For ordinary solids and liquids at room temperature, the relative permeability Kmis typically in the range 1.00001 to 1.003. We recognize this weak magnetic character of common materials by the saying "they are not magnetic", which recognizes their great contrast to the magnetic response of ferromagneticmaterials. More precisely, they are either paramagnetic or diamagnetic, but that represents a very small magnetic response compared to ferromagnets.
The gases N2 and H2 are weakly diamagnetic with susceptabilities -0.0005 x 10-5 for N2 and -0.00021 x 10-5 for H2. That is in contrast to the large paramagnetic susceptability of O2 in the table.


Reference
Section 29-8

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