Magnetic moment calculation from curie constant (thought this was easy)

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SUMMARY

The discussion focuses on calculating the effective magnetic moment (ueff) of FeRh using the Curie constant (C) derived from inverse susceptibility data. The Curie constant is given as 68 (cm3K)/mole, and the effective magnetic moment is calculated using the formula ueff = 2.84C1/2. The calculated value of approximately 24 uB is noted to be significantly higher than the expected value of 3.2 uB, prompting inquiries about additional steps or corrections needed in the calculation process.

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  • Familiarity with the calculation of effective magnetic moments
  • Knowledge of CGS units and their conversions
  • Proficiency in linear regression analysis for inverse susceptibility data
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Homework Statement



Need to calculate magnetic moment of FeRh from the curie constant which was obtained from a linear fit of inverse susceptibility data.

CGS units!

C = 68 (cm3K)/mole
N = Avogadro constant 6.022E23 atoms/mole
K = Boltzmann constant 1.38E-16 erg/K
uB = Bohr magnetons 9.274E-21 erg/G
ueff = unknown effective magnetic moment

want the solution in terms of bohr magnetons.

Relevant conversion factors:
erg = 4pi cm3Oe2
1 G = 4pi Oe

Homework Equations



ueff=((3KC)/N)1/2; which simplifies to ueff= 2.84C^(1/2)

The Attempt at a Solution


(\frac{3 * 1.38E-16 erg/K * 68 cm<sup>3</sup>K/mole}{6.022E23atom/mole})1/2

= ~24uB.

I expect my solution to be closer to 3.2. Does anyone know if there is something typically done after these sorts of calculations that I need to do?
 
Last edited:
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X=C/(T-Tc)
C= (T-Tc)X
C=(T-Tc)/(1/X)
C=(T-Tc)/X-1
C= dT/dX-1
In X-1 vs T plot fit linear part of plot. Select two points and there by get two values for temperature and two for inverse susceptibility (X-1) then substitute in the above equation to get Curie constant (C). Otherwise find the slope of fitted linear part of the plot and then take reciprocal of the slope that will be curie constant as ber the above equation.
After knowing Curie constat (C), the effective magnetic moment can be calculated as Ueff = 2.34 sqrt (C)
 

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