Calculation of Magnetization and Magnetic Susceptibility Close to Magnetic Phase Transitions in (CH 3 ) 2 NH 2 Fe III Ni

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Calculation of Magnetization and Magnetic Susceptibility Close to Magnetic Phase Transitions in ­(CH3)2NH2FeIIINiII(HCOO)6 and ­(CH3)2NH2FeIIICuII(HCOO)6 H. Yurtseven1,2   · O. Tari3 Received: 9 April 2020 / Accepted: 13 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract We study the temperature and magnetic field dependence of the magnetization ( M  ) and the inverse susceptibility (χ−1) in the metal–organic frameworks, in particular, for (­CH3)2NH2FeIIINiII(HCOO)6 (DMFeNi) and (­CH3)2NH2FeIIICuII(HCOO)6 (DMFeCu) close to their magnetic phase transitions. The Landau phenomenological model is employed to analyze the experimental data for the M(T, H) from the literature and to calculate χ−1(T, H) of DMFeNi and DMFeCu. Our results indicate that the thermodynamic model studied explains adequately the observed behavior of M(T, H) for DMFeNi and DMFeCu, which exhibit a weakly first-order (or nearly second order) magnetic phase transition. Keywords  Magnetization · Magnetic susceptibility · Landau mean field model · Niccolite structure · Heterometallic formate

1 Introduction Metal–organic frameworks (MOFs) have been the subject of various experimental and theoretical studies on the structural, ferroelectric and ferromagnetic phase transitions. They have useful and tunable ferroelectric, luminescent, magnetic, photocatalytic, gas sorption and semiconducting properties [1–6], as also indicated previously [7]. Some MOFs exhibit ferroelectric properties [4, 8, 9]. Those possessing both electric and magnetic orders in the same phase [10, 11] as multiferroic materials * H. Yurtseven [email protected] 1

Physics Group, Middle East Technical University, Northern Cyprus Campus, Kalkanlı, via Mersin 10, Guzelyurt, Turkey

2

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

3

Department of Mathematics and Computer Science, Istanbul Arel University, 34537 Büyükçekmece, Istanbul, Turkey



13

Vol.:(0123456789)



Journal of Low Temperature Physics

and synthesis of MOFs containing magnetic ions [12, 13] have been reported in the literature. Niccolite-based MOFs have been studied extensively by achieving tunable ferromagnetic (FO, ferroordered) strength [14], by measuring the dielectric constant and the field cooled (FC) magnetization for niccolite structural multiferroic metal–organic framework [15], and also by measuring the field-dependent magnetization with the magnetic susceptibility to obtain a large magnetocaloric effect (MCE) for metal formate frameworks [16]. Regarding the applications of MOFs in optics, photomagnetism, photocatalysis and gas adsorption, photochromism and photomagnetism, in particular, were studied in crystalline hybrid materials experimentally [17] and photoelectric response was also studied in a pyrene-based metal–organic framework [18]. Within the context of photocatalysis and gas adsorption, synthesizing halometallate-directed MOFs [19] and two novel isostructural nanocage-based porous [20] have been reported in the literature.