Re: Brillouin function for a Ferromagnet
- To: mathgroup at smc.vnet.net
- Subject: [mg111175] Re: Brillouin function for a Ferromagnet
- From: George Woodrow III <georgevw3 at mac.com>
- Date: Fri, 23 Jul 2010 07:08:12 -0400 (EDT)
You also do not want to use underscores in your variable names. The underscore has a special reserved meaning, which is explained in the fine documentation. Basically, it indicates that the preceding symbol is the pattern to be matched. george On Jul 22, 2010, at 5:43 AM, Themis Matsoukas wrote: > 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 >> >