Data Assimilation Method for Experimental and First-Principles Data: Finite-Temperature Magnetization of (Nd,Pr,La,Ce)2_{2}(Fe,Co,Ni)14_{14}B

preprint2020arXivOpen access

Abstract

We propose a data-assimilation method for evaluating the finite-temperature magnetization of a permanent magnet over a high-dimensional composition space. Based on a general framework for constructing a predictor from two data sets including missing values, a practical scheme for magnetic materials is formulated in which a small number of experimental data in limited composition space are integrated with a larger number of first-principles calculation data. We apply the scheme to (Nd1−α−β−γ_{1-α-β-γ}Prα_αLaβ_βCeγ_γ)2_{2}(Fe1−δ−ζ_{1-δ-ζ}Coδ_δNiζ_ζ)14_{14}B. The magnetization in the whole (α,β,γ,δ,ζ)(α, β, γ, δ, ζ) space at arbitrary temperature is obtained. It is shown that the Co doping does not enhance the magnetization at low temperatures, whereas the magnetization increases with increasing δδ above 320 K.

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