Abstract

In this study, we apply the Landau phenomenological model to describe magnetic transition and structural phase transition in a metal formate framework (MOF) of the ferromagnetic [(CH3)2NH2][Na0.5Fe0.5(HCOO)3], namely, DMNaFe. By using the observed data from the literature for the magnetization, the excess heat capacity (ΔCP), and the dielectric constant (ε), we predict some thermodynamic quantities as a function of temperature close to the magnetic transition (TM=8.5K) and structural (Tc=170.8K) phase transition in [(CH3)2NH2][Na0.5Fe0.5(HCOO)3]. The thermodynamic quantities predicted from the Landau mean field model indicate that the multiferroics and ferromagnetic [(CH3)2NH2][Na0.5Fe0.5(HCOO)3]) undergo a weakly first order (or nearly second order) magnetic transition. Structural phase transition in [(CH3)2NH2][Na0.5Fe0.5(HCOO)3] is of a first order, as observed experimentally. The thermodynamic model studied here describes the observed behavior in most cases of [(CH3)2NH2][Na0.5Fe0.5(HCOO)3], and it can be applied to some other MOFs.

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