Average energy of atoms in the Stern–Gerlach experiment

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SUMMARY

The Stern–Gerlach experiment reveals that atoms exiting the oven possess an average energy of 2kT, contrasting with the expected 3kT/2 for gases. This discrepancy is attributed to the effusion process, which alters the speed distribution of the atoms. Specifically, the speed distribution in the beam follows a proportionality of v³exp(-mv²/2kT), diverging from the Maxwell-Boltzmann distribution of v²exp(-mv²/2kT). Understanding this distinction is crucial for interpreting the results of the experiment accurately.

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  • Understanding of kinetic theory, particularly in relation to gas behavior.
  • Familiarity with the principles of effusion in physics.
  • Knowledge of the Maxwell-Boltzmann distribution and its applications.
  • Basic grasp of statistical mechanics concepts.
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Keky
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I have been reading about the Stern–Gerlach experiment and found that the atoms leaving the oven in the experiment have an average energy of 2kT, rather than an energy of 3kT/2 for a gas. I can not find a reason for this higher energy myself and would like suggestions on why this seems to be taken for granted on many reports I have read, and why it is so.

Thanks,

Char.
 
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It is because the atoms effuse out of the oven. Effusion should be covered in an undergrad kinetic theory course. The speed distribution in the beam is
\propto v^3exp(-mv^2/2kT)
rather than the usual
\propto v^2exp(-mv^2/2kT)
for Maxwell-Boltzmann.
 
Thank you for the reply, I shall go read more about effusion.
 

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