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One of the most active classes of nanostructures is Fullerene C$_{20}$, which has been exploited as an active component in significant applications. In this investigation, we used Monte Carlo simulations to investigate the magnetic and magnetocaloric properties of the mixed spins 2 and 3/2 Fullerene C$_{20}$ system. Ferrimagnetic and ferromagnetic phases are stable, according to the ground state phase diagrams that have been constructed. The behavior of the magnetizations and the derivative of magnetization, in particular, have shown the impact of rising temperature. Additionally, we found an increase of the reduced Curie temperature to reach $t_C = 3$, when the interactions between the spins S are increased. For numerous reduced external magnetic fields and reduced temperatures, the magnetic entropy variations are studied. The Relative Cooling Power (RCP) is calculated. It is demonstrated that the reduced exchange coupling interactions p and r lead to an increase in the lowered magnetic coercive field.

In the present work, we study the structural, electronic and optical properties of Sodium Based Cubic Fluoro-perovskites: NaBF$_3$ (B= Ca, Mg or Zn) using DFT and TDDFT methods. We performed the density functional theory DFT calculations under the mBJ-GGA approximation. In addition, we applied the norm-conserving pseudo-potentials without spin-orbit coupling (SOC) approximations. In addition, we used the Perdew-Burke-Ernzerhof generalized gradient approximation (GGA-PBE) to deduce the physical properties of these alloys. Moreover, the Time-Dependent Density Functional Theory (TDDFT) method has been performed to deduce the optical properties, in an excited state, of the studied Sodium Based Cubic Fluoro-perovskites: NaBF$_3$ (B= Ca, Mg or Zn) materials.

In this paper, we are interested in solvable complete Lie algebras, over the field $\K=\R$ or $\mathbb{C}$, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given., Comment: 14 pages

To investigate the physical characteristics of the half-Heusler BaHgSn molecule, we used theoretical calculations within the Density Functional Theory (DFT) framework utilizing the LSDA+mBJ technique in this study. Using the optimal lattice parameters, we discover that half-Heusler BaHgSn exhibits a Dirac semimetal behavior with a band gap of 0.1 eV. Thomas Charpin's numerical first-principles calculation approach was applied to determine the elastic constants of hexagonal BaHgSn alloys. The material's optical characteristics verified its prospective use in infrared-visible devices. According to a thermo-electric properties analysis, at 20x10^18 {\Omega}-1.m-1.s-1, the electrical conductivity reaches its maximum after increasing gradually up to 500 K. Compared to other compounds, these results indicate that BaHgSn has potential for use in opto-electronic and thermo-electric devices.

Gadolinium stand as the favored choice among magnetic refrigerant materials for numerous active magnetic regenerator (AMR) prototypes due to its remarkable ability to exhibit a substantial change in magnetic entropy. This unique characteristic arises from its status as one of the elemental ferromagnets with a high Curie temperature, closely aligning with room temperature conditions, and undergoing a second-order magnetic phase transition. In this comprehensive study, we employ density functional theory (DFT) calculations to explore the structural, electronic, and magnetic properties of both Gadolinium bulk and film configurations. Our primary objective is to gain a deeper understanding of the intricate physics underlying the intriguing magnetocaloric features observed in Gadolinium. This investigation provides valuable insights into the potential applications and the broader implications of Gadolinium in the realm of magnetic refrigeration technology.

In this article, we examine the structure and the electronic, optical, and magnetic properties of ZnTe before and after doping with the transition metal Mn. The ab initio calculations of this compound were performed using the full potential linearized extended full potential planar waveform (FP-LAPW) in the context of density functional theory (DFT) implemented in the Wien2K code. The potential for exchange and correlation was addressed by the generalized gradient approximation (GGA) approximation. The electronic properties show that the ZnTe material exhibits semiconductor behavior before doping. As a result, it becomes semimetal after doping. The findings attained by Monte Carlo simulations display that the ZnMnTe material goes from an antiferromagnetic phase to the paramagnetic phase at the Neel temperature value TN =159.31 K.

In this study, we carried out an investigation of the EuCoA$_2$As$_2$ compound, focusing on its various physical properties. Our analysis covered the structural, magnetic, electronic, optical, thermodynamic and thermoelectric characteristics of this compound. To carry out this study, we used density functional theory (DFT) implemented in the Wien2k software package. To determine the exchange-correlation potential, we used the GGA-PBE (Perdew, Burke and Ernzerhof) approach, taking spin-orbit coupling (SOC) into account. Our results indicate that the EuCoA$_2$As$_2$ compound exhibits metallic behavior. In addition, we have determined that the compound's stable ground state is the ferromagnetic (FM) phase. We have also calculated the Debye temperature and the Gr\"uneisen parameter. In addition, we evaluated various optical properties, including electron energy loss, absorption coefficient, real and imaginary dielectric tensors, and real and imaginary optical conductivity. We found that the compound has excellent absorption characteristics in the low and mid ultraviolet (UV) spectra. In addition, we investigated the electrical conductivity, Seebeck coefficient, electronic conductivity and thermal conductivity of the lattice. The results revealed that the compound exhibits n-type behavior, with negative values for the Seebeck coefficient. These results are analyzed in detail and provide valuable information on the properties of the EuCoA$_2$As$_2$ compound. Additionally, the computed parameters were compared to those found in the literature. A good deals have been revealed with the existing results., Comment: 26 pages, 7 figures, 3 tables

With a prevalence of 5 to 50%, Dry Eye Disease (DED) is one of the leading reasons for ophthalmologist consultations. The diagnosis and quantification of DED usually rely on ocular surface analysis through slit-lamp examinations. However, evaluations are subjective and non-reproducible. To improve the diagnosis, we propose to 1) track the ocular surface in 3-D using video recordings acquired during examinations, and 2) grade the severity using registered frames. Our registration method uses unsupervised image-to-depth learning. These methods learn depth from lights and shadows and estimate pose based on depth maps. However, DED examinations undergo unresolved challenges including a moving light source, transparent ocular tissues, etc. To overcome these and estimate the ego-motion, we implement joint CNN architectures with multiple losses incorporating prior known information, namely the shape of the eye, through semantic segmentation as well as sphere fitting. The achieved tracking errors outperform the state-of-the-art, with a mean Euclidean distance as low as 0.48% of the image width on our test set. This registration improves the DED severity classification by a 0.20 AUC difference. The proposed approach is the first to address DED diagnosis with supervision from monocular videos, Comment: Accepted MICCAI-OMIA pre-print