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[[File:Bethe-Slater curve by Zureks.svg|thumb|Bethe-Slater curve: elements above the horizontal axis are ferromagnetic, below the axis are antiferromagnetic]]
 
'''Bethe-Slater curve''' is a [[chart|graphical]] representation of [[exchange energy]] for [[transition metals]] as a function of the ratio of the interatomic distance ''a'' to the radius ''r'' of the ''3d'' [[electron shell]].<ref>http://www.nitt.edu/home/academics/departments/physics/faculty/lecturers/justin/students/magnetic/exchange/</ref>  
 
The curve illustrates why certain metals are [[ferromagnetism|ferromagnetic]] and other [[antiferromagnetism|antiferromagnetic]].
 
For a pair of atoms, the exchange interaction ''w<sub>ij</sub>'' (responsible for the energy ''E'') is calculated as:<ref>Soshin Chikazumi, Physics of Ferromagnetism, Oxford University Press, New York, 1997, page 125, ISBN 0-19-851776-9</ref>
 
<math>w_{ij}= - 2 \cdot J \cdot  S_i \cdot S_j </math>
 
where: ''J'' - exchange integral, ''S'' - electron spins,''i'' and ''j'' - indices of the two atoms.
 
== References ==
{{reflist}}
 
[[Category:Magnetism]]

Revision as of 01:33, 24 September 2013

Bethe-Slater curve: elements above the horizontal axis are ferromagnetic, below the axis are antiferromagnetic

Bethe-Slater curve is a graphical representation of exchange energy for transition metals as a function of the ratio of the interatomic distance a to the radius r of the 3d electron shell.[1]

The curve illustrates why certain metals are ferromagnetic and other antiferromagnetic.

For a pair of atoms, the exchange interaction wij (responsible for the energy E) is calculated as:[2]

where: J - exchange integral, S - electron spins,i and j - indices of the two atoms.

References

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  1. http://www.nitt.edu/home/academics/departments/physics/faculty/lecturers/justin/students/magnetic/exchange/
  2. Soshin Chikazumi, Physics of Ferromagnetism, Oxford University Press, New York, 1997, page 125, ISBN 0-19-851776-9