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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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On the Theory of Volume Magnetostriction

On the theory of volume magnetostriction
Authors: Smoluchowski, R.;

On the Theory of Volume Magnetostriction

Abstract

Volume magnetostriction is considered on the basis of the molecular field theory. Instead of the assumption of a saturation magnetization independent of volume at absolute zero (${I}_{0}$), made in the original interpretation by Becker and Kornetzki, another procedure is adopted. The dependence of saturation magnetization ($I$) on temperature for coupled ($j=1$) and uncoupled ($j=\frac{1}{2}$) electrons is assumed to be given by a Brillouin function. With the experimental data on the magnetostriction of iron this method allows us to obtain values for (a) the molecular field "constant" $N$, (b) its dependence on the relative change of volume, $(\frac{1}{N})(\frac{\ensuremath{\partial}N}{\ensuremath{\partial}\ensuremath{\omega}})$, and (c) the dependence on volume of the saturation magnetization at $T=0$, $(\frac{1}{{I}_{0}})(\frac{\ensuremath{\partial}{I}_{0}}{\ensuremath{\partial}\ensuremath{\omega}})$. The value of $N$ and $(\frac{1}{N})(\frac{\ensuremath{\partial}N}{\ensuremath{\partial}\ensuremath{\omega}})$ agrees with that obtained from the magneto-caloric measurements. The dependence of ${I}_{0}$ on volume agrees with the value expected from the change of density. Another check on the value of $(\frac{1}{N})(\frac{\ensuremath{\partial}N}{\ensuremath{\partial}\ensuremath{\omega}})$ is made by considering the "magnetic" specific heat, a part of which is shown, by thermodynamical considerations, to be proportional to this quantity. All quantitative checks of our theory, including the probable change of the Curie point under pressure are more satisfactory if electrons coupled in pairs ($j=1$) are assumed than if uncoupled ($j=\frac{1}{2}$) electrons are considered.

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Nonrelativistic quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 1%
Average
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