Calculating magnetic susceptibility from the g factor

In summary, the g factor is a dimensionless quantity that describes the magnetic moment of an atom or molecule in a magnetic field and is directly proportional to the magnetic susceptibility. Magnetic susceptibility can be calculated using the equation χ = g^2μ_0M / H and is typically measured in SI units of m^3/kg or in cgs units of cm^3/g. Both the g factor and magnetic susceptibility are temperature dependent, with the g factor decreasing and magnetic susceptibility increasing as temperature increases due to thermal vibrations. These quantities can be measured experimentally using techniques such as electron paramagnetic resonance and SQUID magnetometry.
  • #1
rwooduk
762
59
revision

already calculated J to be 15/2
have already found g to be 1.33

M = ngμJ



magnetic suseptibilty is 5X10^-7 m^3/mol

please could omeone tell me if it is possible to calculate the magnetic susceptibility from the above information? thanks in advance for an pointers.
 
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  • #2
ok I've found μeff = gμ(J(J+1))^.5

and susceptibility = nμ(μeff)^2 / ?

is ? = KT

where would i find this formula,
 
  • #3
edit yes its susceptibility = nμ(μeff)^2 / kT

admins please feel free to delete this thread
 

Related to Calculating magnetic susceptibility from the g factor

1. What is the g factor and how is it related to magnetic susceptibility?

The g factor is a dimensionless quantity that describes the magnetic moment of an atom or molecule in a magnetic field. It is directly proportional to the magnetic susceptibility, which is a measure of how easily a material can be magnetized.

2. How do you calculate magnetic susceptibility from the g factor?

The magnetic susceptibility can be calculated using the equation χ = g^2μ_0M / H, where g is the g factor, μ_0 is the permeability of free space, M is the magnetization of the material, and H is the applied magnetic field.

3. What units are used to measure the g factor and magnetic susceptibility?

The g factor is a dimensionless quantity and does not have any units. Magnetic susceptibility is typically measured in SI units of m^3/kg or in cgs units of cm^3/g.

4. How does temperature affect the g factor and magnetic susceptibility?

The g factor and magnetic susceptibility are both temperature dependent. In general, as temperature increases, the g factor decreases and the magnetic susceptibility increases. This is due to the thermal vibrations of atoms and molecules disrupting the alignment of magnetic moments.

5. Can the g factor and magnetic susceptibility be measured experimentally?

Yes, the g factor and magnetic susceptibility can be measured experimentally using techniques such as electron paramagnetic resonance (EPR) and SQUID magnetometry. These techniques involve applying a magnetic field and measuring the resulting changes in energy levels or magnetization of the material.

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