- #1
atarr3
- 76
- 0
Homework Statement
Consider an atom with a magnetic moment [tex]\mu[/tex] and a total spin of ½. The atom is placed in a uniform magnetic field B at temperature T. (a) Assuming Maxwell-Boltzmann statistics are valid at this temperature, find the ratio of atoms with spins aligned with the field to those aligned opposite the field.
Homework Equations
[tex]n\left(E\right)=g\left(E\right)F[/tex] and the corresponding equation for F depending on Maxwell-Boltzmann, Fermi-Dirac, or Bose-Einstein
The Attempt at a Solution
I'm having a little trouble figuring out which distribution function to use. I want to say that it's Fermi-Dirac because of the half-integer spin, but the question states that Maxwell-Boltzmann statistics are valid, which throws me off. And I'm still a little confused about the density of states. And where the magnetic field factors into my equation.