2. Kittel Ch3-2. Magnetic susceptibility. (a) Use the partition function to find an exact expression for the magnetization M and the susceptibility x=dM/ dB as a function of temperature and magnetic field for the model system of magnetic moments in a magnetic field. The result for the magnetization is x = dM / dB, as derived in (46)

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Chapter12: The Solid State
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2. Kittel Ch3-2. Magnetic susceptibility. (a) Use the partition function to find an exact
expression for the magnetization M and the susceptibility x=dM/ dB as a function
of temperature and magnetic field for the model system of magnetic moments in a
magnetic field. The result for the magnetization is x = dM / dB, as derived in (46)
by another method. Here n is the particle concentration. The result is plotted in
Figure 3.12. (b) Find the free energy and express the result as a function only oft and
the parameter x = M/ nm. (c) Show the susceptibility is x= nm²/t in the limit
mB << T.
Transcribed Image Text:2. Kittel Ch3-2. Magnetic susceptibility. (a) Use the partition function to find an exact expression for the magnetization M and the susceptibility x=dM/ dB as a function of temperature and magnetic field for the model system of magnetic moments in a magnetic field. The result for the magnetization is x = dM / dB, as derived in (46) by another method. Here n is the particle concentration. The result is plotted in Figure 3.12. (b) Find the free energy and express the result as a function only oft and the parameter x = M/ nm. (c) Show the susceptibility is x= nm²/t in the limit mB << T.
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