Magnetic functions

Having determined the magnetic energy levels eafiB) (as eigenvalues of the interaction Hamiltonian) we can proceed with the apparatus of the statistical thermodynamic by defining the (magnetic) partition function 

Then the observable thermodynamic functions are determined as follows  

Molar isofield heat capacity (E - ethalpy, Q - heat, S - entropy) 

For an anisotropic system the differentiation should be applied in the individual directions so that the components of the magnetization vector are 

When the energy levels can be expanded into a Taylor series 

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F. N. Bradley, "Chemistry, Microstmcture, and Processing of Ferrites," in A. E. Javit2, ed.. Materialsfor Magnetic Functions, Hayden Book Co., Inc., New York, 1971. 

A number of somewhat more specialised texts also began to appear, such as Anderson and Leaver s Materials Science (1969) in spite of its broad title, this book by two members of the Electrical Engineering Department at Imperial College, London, was wholly devoted to electrical and magnetic (functional) materials. So... 

Blinc R (2007) Order and Disorder in Perovskites and Relaxor Ferroelectrics. 124 51-67 Boca R (2005) Magnetic Parameters and Magnetic Functions in Mononuclear Complexes Beyond the Spin-Hamiltonian Formalism 117 1-268 Bohrer D, see Schetinger MRC (2003) 104 99-138 Bonnet S, see Baranoff E (2007) 123 41-78... 

Enoki T, Takai K (2008) Unconventional electronic and magnetic functions of nanogra-phene-based host-guest systems. Dalton Trans 29 3773-3781... 

The prepared apparatus allows us to analyze the most common cases of paramagnetic materials based upon the transition metal complexes. These are compared in Table 3 (the magnetic functions were generated at level 6 of the magnetotheoretical hierarchy). 

Magnetic functions are evaluated with the help of the partition function Z(T,B) and its derivatives. In order to perform the derivatives numerically, three values in the vicinity of the reference magnetic field are set, say Ei = Rref, B2 = Bref + 8, and IS3 = Eref + 28, where 8 is a small increment (8 = Bref/100). The calculations are then done for these fields, individually in each required direction of the magnetic field (a = x, y, z). With the energy levels i,Bk>a determined (k = 1 - 3), the partition function is summed up for individual fields... 

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