Abstract
The coefficients of linear thermal expansions (CLEs) of magnetic elements Fe, Co and Ni were assessed from experimental information using theoretical models combined with MATLAB calculations. Model parameters can be determined accurately, and the assessed data are in good agreement with the experimental results. To facilitate the assessments, theories of thermal expansion were applied to separate CLEs into its nonmagnetic and magnetic components. The calculations of nonmagnetic contribution to CLEs were based on the modified Grüneisen–Debye model, in which the Debye temperature was regarded as an undetermined constant. In order to put the prediction of CLEs at the magnetic transition region on a sound physical basis, two kinds of theoretical models were innovatively used to calculate the magnetic contribution to CLEs, i.e., the Bragg–Williams model and the Fermi–Dirac distribution function. Model parameters were evaluated from experimental data using least square method. Detailed comparisons were made with the published experimental data and the calculated total CLEs. A satisfactory agreement is reached.
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This study was financially supported by China Postdoctoral Science Foundation (No. 2009045110).
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Li, D., Li, XB., Zhang, B. et al. Assessments of coefficients of linear thermal expansions for magnetic elements Fe, Co and Ni. Rare Met. 35, 481–486 (2016). https://doi.org/10.1007/s12598-014-0387-z
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DOI: https://doi.org/10.1007/s12598-014-0387-z