Calculating the saturation magnetic moment (Condensed Matter)

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SUMMARY

The discussion focuses on calculating the saturation magnetic moment (M) for chromium (Cr) ions using the Lande g factor, which is established as 2. The equation M = gμJn is utilized, where J is derived from Hund's rules. Participants clarify that the number of electrons in a shell is insufficient for determining n, and they conclude that the saturation point on the M/Nu vs. B/T graph can be used to find the value of Jg directly without needing the gradient.

PREREQUISITES
  • Understanding of Hund's rules for determining total angular momentum (J)
  • Familiarity with the Lande g factor and its significance in magnetic moment calculations
  • Knowledge of magnetic moment equations, specifically M = gμJn
  • Experience with graph interpretation, particularly M/Nu vs. B/T plots
NEXT STEPS
  • Study the application of Hund's rules in various transition metal ions
  • Research the significance of the Lande g factor in magnetism
  • Learn how to interpret saturation points on M/Nu vs. B/T graphs
  • Explore the implications of saturation magnetic moments in condensed matter physics
USEFUL FOR

Physicists, materials scientists, and students preparing for exams in condensed matter physics, particularly those focusing on magnetic properties of materials.

rwooduk
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Show that the experimental data are consistent with a Lande g factor of 2 for each of the ions by calculating the saturation magnetic moment. Explain what this means for Cr.



I've calculated J using Hunds rules and have the equation M = gμJn, where M is the saturation magnetic moment. BUT what do I use for n? I'm only given the number of electrons in a shell for each ion. Also would you think it wants me to determine g OR use a g value of 2 to determine M?

any pointers REALLY appreciated on this, the exam is fast approaching.

thanks.
 

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it's okay, got it! the questions axis is M/Nu vs B/T, i can rearrange to find g

edit no i can't because the gradient isn't given in the question

edit don't need the gradient, the y-axis is M/Nu therefor just read where it saturates and put equal to Jg

done
 
Last edited:

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