       Re: Brillouin function for a Ferromagnet

• To: mathgroup at smc.vnet.net
• Subject: [mg111162] Re: Brillouin function for a Ferromagnet
• From: Themis Matsoukas <tmatsoukas at me.com>
• Date: Thu, 22 Jul 2010 05:43:35 -0400 (EDT)

Your question is ambiguous:

1. Are you using regular math notation, or Mathematica notation? It appears you are using both, which makes it difficult to decipher the meaning of (), [], B_J.

2. Did you mean to say B_J[x]=... ?

3. Is J a known constant, or an unknown to be obtained from the fit?

Themis

> First I have to apologize if this is too basic for
> this forum... I have some temperature dependent
> magnetization data from a FeNi-alloy. The measurement
> was done from RT up to the Curie temperature T_c of
> the alloy. I want to compare my data to a Brillouin
> function with different angular momenta J. Basically
> I have to solve
>
> M/M_0=B_J[(T_c/T)(M/M_0)],
> with
> B_J=(2J+1/J)coth[(2J+1/2J)x]-(1/2J)coth[x/2J],
> where
> M_0 is the saturation magnetization
>
> How do I basically solve this and in parallel fit it
> to my data? In principle I want to obtain M_0 and
> T_c. My data consists of M(T).
>
> Thank you for your interest and answers,
> Frank
>

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