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Date: 27-2-2021
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Susceptibility
At temperatures above TC, where the ferromagnetic order collapses, and the material becomes paramagnetic, the atomic moments of a few Bohr magnetons experience random thermal fluctuations. Although Ms is zero, an applied field can induce some alignment of the atomic moments, leading to a small magnetization M which varies linearly with H, except in very large fields or very close to the Curie point. The susceptibility, defined as
χ = M/H, .......(1)
is a dimensionless quantity, which diverges as T → TC from above. Above TC it often follows a Curie–Weiss law
χ = C/(T − TC), ........(2)
where C is known as the Curie constant. Its value is of order 1 K.
The magnetic response to an applied field of materials which do not order magnetically may be either paramagnetic or diamagnetic. In isotropic paramagnets, the induced magnetization M is in the same direction as H, whereas in diamagnets it is in the opposite direction. Superconductors exhibit diamagnetic hysteresis loops below their superconducting transition temperature Tsc, and their susceptibility can approach the limiting value of −1.
The susceptibility of many paramagnets follows a Curie law,
χ = C/T, .........(3)
but for some metallic paramagnets and almost all diamagnets χ is independent of temperature. The sign of the room-temperature susceptibility is indicated on the magnetic periodic table (Table A, see endpapers) and the molar susceptibility χmol is plotted. There it is appropriate to look at the molar susceptibility because some of the elements are gasses at room temperature. A cubic metre of a solid contains roughly 105 moles, so χmol is approximately five orders of magnitude less than χ. From Table A, it can be seen that the transition metals are paramagnetic, whereas main group elements are mostly diamagnetic.
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