Calculation of the thermodynamic quantities of perovskite metal organics DMAKCr and perovskite HyFe close to the weakly first-order relaxor-like structural transformation using the mean field theory

Weakly first-order or nearly second-order phase transitions occurring in metal–organic frameworks (MOFs), particularly in DMAKCr and perovskite HyFe, are studied under the mean field model by using the observed data from the literature. In this work, mainly thermal and magnetic properties among various physical properties which have been reported in the literature for those MOFs are studied by the mean field theory. By expanding the free energy in terms of the magnetization (order parameter), the excess heat capacity ([Formula: see text]C[Formula: see text]) and entropy ([Formula: see text]S), latent heat (L), magnetization (M) and the inverse susceptibility ([Formula: see text]) are calculated as a function of temperature close to the weakly first-order phase transition within the Landau phenomenological model which is fitted to the experimental data from the literature for C[Formula: see text] (DMAKCr and perovskite HyFe) and for magnetization M (HyFe). Our predictions of the excess heat capacity ([Formula: see text]C[Formula: see text]) and entropy ([Formula: see text]S) agree below T[Formula: see text] with the observed data within the temperature intervals studied for DMAKCr and perovskite HyFe. From our predictions, we find that magnetization decreases continuously whereas the inverse susceptibility decreases linearly with increasing temperature toward the transition temperature in those MOFs as expected for a weakly first-order transition from the mean field model.

Calculation of the Spontaneous Polarization and the Dielectric Constant for the Ferroelectric N(CH3)4HSO4 Using the Mean Field Model

The temperature dependences of the spontaneous polarization and the dielectric constant (susceptibility) are calculated using the mean field model for the ferroelectric N(CH3)4HSO4. Expressions derived from the mean field model for the spontaneous polarization and the inverse susceptibility are fitted to the experimental data from the literature. The fitting parameters in the expansion of the free energy in terms of the spontaneous polarization are determined within the temperature intervals in the ferroelectric and paraelectric phases of N(CH3)4HSO4. Our results show that the temperature dependences of the spontaneous polarization and the dielectric constant as predicted from our mean field model, describe adequately the observed behavior of N(CH3)4HSO4 in the ferroelectric and paraelectric phases.

Damping and Magnetic Anisotropy of Epitaxial Fe1.7Ge Ultrathin Films Grown on Ge(111) Substrates

6, 10 and 20[Formula: see text]nm thick hexagonal Fe[Formula: see text]Ge thin films have been grown on face-centered-cubic Ge(111) substrates by molecular beam epitaxy. X-ray diffraction investigations revealed an excellent epitaxy of the Fe[Formula: see text]Ge films, with crystallographic [Formula: see text] and [Formula: see text] axes lying in the sample plane. Ferromagnetic resonance, magneto-optical Kerr effect and transverse bias initial inverse susceptibility and torque (TBIIST) measurements reveal that the in-plane anisotropy results from the superposition of a uniaxial and a sixfold symmetry terms. The sixfold anisotropy field, which is in agreement with the crystal structure of the samples, increases with the film thickness suggesting an enhancement of the sample quality, while the small uniaxial anisotropy field does not show regular thickness dependence. Frequency and angular dependences of the FMR linewidth show two-magnon scattering and inhomogeneities contributions which depend on the film thickness. A Gilbert damping parameter as low as 0.0064 is found.

Magnetic Properties of SmRhIn

The indide SmRhIn (ZrNiAl type, P6̅2̅m, a = 750.93(8), c = 397.52(4) pm) was synthesized from the elements by arc-melting. SmRhIn orders antiferromagnetically at 8.0(5) K. The non-linearity of the temperature dependence of the inverse susceptibility points to a large van Vleck term for the samarium atoms. Magnetization measurements indicate a metamagnetic transition at a flux density of 3 T.