In this chapter, it is shown that the energy of a spin system may be written as E = NuB tanh[uB/kgT]. Consider a system of electron spins S = 1/2 and g = 2 in a magnetic field of 1 T. Find the temperature at which the magnetization of the system reaches 90% of the saturation value. Repeat the cal- culation for solid helium-3 nuclear spins for which I = 1/2 and μ = 2.2 nuclear magnetons.

Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter11: Nuclear Physics
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Solve 5.6

5.6 In this chapter, it is shown that the energy of a spin system
may be written as E= NuB tanh[uB/kgT]. Consider a system
of electron spins S = 1/2 and g = 2 in a magnetic field of
1 T. Find the temperature at which the magnetization of the
system reaches 90% of the saturation value. Repeat the cal-
culation for solid helium-3 nuclear spins for which I = 1/2
and u= 2.2 nuclear magnetons.
5.7
A paramagnetic salt containing 1020 electron spins with
S = 1/2 and g = 2 is situated in a magnetic field of 4 T. If the
Transcribed Image Text:5.6 In this chapter, it is shown that the energy of a spin system may be written as E= NuB tanh[uB/kgT]. Consider a system of electron spins S = 1/2 and g = 2 in a magnetic field of 1 T. Find the temperature at which the magnetization of the system reaches 90% of the saturation value. Repeat the cal- culation for solid helium-3 nuclear spins for which I = 1/2 and u= 2.2 nuclear magnetons. 5.7 A paramagnetic salt containing 1020 electron spins with S = 1/2 and g = 2 is situated in a magnetic field of 4 T. If the
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