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Keywords = Curie–Weiss temperature

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17 pages, 1679 KB  
Article
Phase Separation Phenomena in Lightly Cu-Doped A-Site-Ordered Quadruple Perovskite NdMn7O12
by Alexei A. Belik, Ran Liu and Kazunari Yamaura
Molecules 2025, 30(23), 4561; https://doi.org/10.3390/molecules30234561 - 26 Nov 2025
Viewed by 362
Abstract
A-site-ordered quadruple perovskite manganites, AMn7O12, show many interesting physical phenomena, including orbital and spin modulations, spin-induced multiferroic properties, and competitions between different magnetic ground states. Doping with Cu2+ can result in colossal magnetoresistance properties, ferrimagnetism, and additional structural [...] Read more.
A-site-ordered quadruple perovskite manganites, AMn7O12, show many interesting physical phenomena, including orbital and spin modulations, spin-induced multiferroic properties, and competitions between different magnetic ground states. Doping with Cu2+ can result in colossal magnetoresistance properties, ferrimagnetism, and additional structural modulations producing electric–dipole helicoidal textures. Many previous works have focused on large-concentration doping, reaching ACu3Mn4O12 compositions. Small-concentration doping has been investigated in a limited number of systems, e.g., in BiCuxMn7−xO12. In this work, we investigated solid solutions of NdCuxMn7−xO12 with x = 0.1, 0.2, and 0.3, prepared at 6 GPa and 1500 K. Specific heat measurements detected three magnetic transitions at x = 0 (at TN3 = 9 K, TN2 = 12 K, and TN1 = 84 K) and two transitions at x = 0.1 (at TN2 = 10 K and TN1 = 78 K), while only one transition was found at x = 0.2 (TN1 = 72 K) and x = 0.3 (TN1 = 65 K). Differential scanning calorimetry (DSC) measurements showed sharp and strong peaks near TOO = 664 K at x = 0, corresponding to an orbital-order (OO) structural transition from I2/m to Im-3 symmetry. DSC anomalies were significantly broadened and their intensities were significantly reduced at x = 0.1–0.3, and structural transitions were observed near TOO = 630 K at x = 0.1, TOO = 600 K at x = 0.2, and TOO = 570 K at x = 0.3. The x = 0.1 sample clearly showed double-peak features on the DSC curves near TOO because of the presence of two close phases. High-resolution synchrotron powder X-ray diffraction studies gave strong evidence that phase separation phenomena took place in the x = 0.1–0.3 samples, where two I2/m phases with an approximate ratio of 1:1 were present (e.g., a = 7.47143 Å, b = 7.36828 Å, c = 7.46210 Å, and β = 90.9929° for one phase and a = 7.46596 Å, b = 7.37257 Å, c = 7.45756 Å, and β = 90.9328° for the second phase at x = 0.3). The Curie–Weiss temperature changed from negative (for x = 0, 0.1, and 0.2) to positive (for x = 0.3). TOO, TN1, the Curie–Weiss temperature, and magnetization (at 5 K and 70 kOe) changed almost linearly with x. Full article
(This article belongs to the Special Issue Inorganic Chemistry in Asia, 2nd Edition)
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12 pages, 1294 KB  
Article
Magnetic Susceptibility of High-Purity Molybdenum: Role of Trace Impurities and Theoretical Modeling
by Chao Wang, Zheng Tan, Dan Jia, Xin Xin, Li Meng, Tao Liu, Likui Ning, Song Ma and Enze Liu
Magnetochemistry 2025, 11(11), 98; https://doi.org/10.3390/magnetochemistry11110098 - 11 Nov 2025
Viewed by 531
Abstract
In this study, a modified Curie–Weiss model was established for the magnetic susceptibility of high-purity molybdenum and Mo–La alloy powders. The elemental composition was analyzed by GDMS, and combined with the MT and MH data measured by SQUID, the [...] Read more.
In this study, a modified Curie–Weiss model was established for the magnetic susceptibility of high-purity molybdenum and Mo–La alloy powders. The elemental composition was analyzed by GDMS, and combined with the MT and MH data measured by SQUID, the temperature-independent contributions of weakly magnetic elements such as La and the paramagnetic contributions of impurity ions such as Fe, Co, and Ni were distinguished. Based on the parameters obtained from the nonlinear least squares fitting, the deviation between the magnetic susceptibility at room temperature calculated by the model and the experimental value was within 5%. The results show that this model can reasonably describe the influence of trace impurities on the magnetic susceptibility of the system and provides an effective method for the magnetic prediction of high-purity metal powders. Full article
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16 pages, 5955 KB  
Article
High-Temperature Layered Modification of Mn2In2Se5
by Ivan V. Chernoukhov, Anton D. Pyreu, Andrey N. Azarevich, Alexander N. Samarin, Alexey V. Bogach, Konstantin O. Znamenkov, Andrei V. Shevelkov and Valeriy Yu. Verchenko
Molecules 2025, 30(9), 1904; https://doi.org/10.3390/molecules30091904 - 24 Apr 2025
Viewed by 757
Abstract
Layered chalcogenides are interesting from the point of view of the formation of two-dimensional magnetic systems for relevant applications in spintronics. High-spin Mn2+ or Fe3+ cations with five unpaired electrons are promising in the search for compounds with interesting magnetic properties. [...] Read more.
Layered chalcogenides are interesting from the point of view of the formation of two-dimensional magnetic systems for relevant applications in spintronics. High-spin Mn2+ or Fe3+ cations with five unpaired electrons are promising in the search for compounds with interesting magnetic properties. In this study, a new layered modification of the Mn2In2Se5 compound from the A2B2X5 family (“225”) was synthesized and investigated. A phase transition to the polymorph with primitive trigonal lattice was recorded at a temperature of 711 °C, which was confirmed by simultaneous thermal analysis, X-ray powder diffraction at elevated temperatures, and sample annealing and quenching. The stability of Mn2In2Se5 in air at high temperatures was investigated by thermal gravimetric analysis and powder X-ray diffraction. The new polymorph of Mn2In2Se5 crystallizes in the Mg2Al2Se5 structure type, as revealed by the Rietveld refinement against powder X-ray diffraction data. The crystal structure can be viewed as a close-packing of Se anions, in which indium and manganese cations are enclosed inside tetrahedral and octahedral voids, respectively, according to the AMnBInCBInCMnA… sequence. Magnetization measurements reveal an antiferromagnetic-like transition at a temperature of 6.3 K. The same magnetic properties are reported in the literature for the low-temperature R-centered trigonal polymorph. An approximation by the modified Curie–Weiss law yields a significant ratio of |θ|/TN = 28, which indicates strong magnetic frustration. Full article
(This article belongs to the Section Materials Chemistry)
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16 pages, 2968 KB  
Article
A Site-Ordered Quadruple Perovskites, RMn3Ni2Mn2O12 with R = Bi, Ce, and Ho, with Different Degrees of B Site Ordering
by Alexei A. Belik
Molecules 2025, 30(8), 1749; https://doi.org/10.3390/molecules30081749 - 14 Apr 2025
Cited by 1 | Viewed by 868
Abstract
A site-ordered quadruple perovskites, AA′3B4O12, can have 3d transition metals at A′ and B sites, and show complex magnetic interactions and behavior. Additional complexity appears when B site-ordered arrangements are realized in AA′3B2 [...] Read more.
A site-ordered quadruple perovskites, AA′3B4O12, can have 3d transition metals at A′ and B sites, and show complex magnetic interactions and behavior. Additional complexity appears when B site-ordered arrangements are realized in AA′3B2B′2O12. In this work, A site-ordered quadruple perovskites, RMn3Ni2Mn2O12 with R = Bi, Ce, and Ho, were prepared by a high-pressure, high-temperature method at about 6 GPa and about 1500 K. The R = Bi and Ce samples were found to crystallize in space group Im-3 with a disordered distribution of Ni2+ and Mn4+ cations in one B site. On the other hand, the R = Ho sample crystallized in space group Pn-3 and showed partial ordering of Ni2+ and Mn4+ cations between two B sites. The structural data (and bond valence sums) suggest that cerium has the oxidation state +3, which is unusual for such perovskites. Magnetic properties were investigated by magnetic susceptibility and specific heat measurements, which showed the presence of one magnetic transition near 36 K for R = Bi; there was evidence for the presence of two magnetic transitions near 27 K and 33 K for R = Ce, and near 10 K and 36 K for R = Ho. Curie–Weiss parameters were estimated for all samples from high-temperature magnetic measurements up to 750 K. The total effective magnetic moment for R = Ce also suggests the presence of Ce3+. A magnetic field of 90 kOe had the largest effect on the specific heat of the R = Ho sample, and almost no effects on the specific heat of the R = Bi sample. Full article
(This article belongs to the Special Issue Inorganic Chemistry in Asia)
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10 pages, 285 KB  
Article
Interaction Order Estimation in Tensor Curie–Weiss Models
by Somabha Mukherjee
Entropy 2025, 27(3), 245; https://doi.org/10.3390/e27030245 - 27 Feb 2025
Viewed by 802
Abstract
In this paper, we consider the problem of estimating the interaction parameter p of a p-spin Curie–Weiss model at inverse temperature β, given a single observation from this model. We show, by a contiguity argument, that joint estimation of the parameters [...] Read more.
In this paper, we consider the problem of estimating the interaction parameter p of a p-spin Curie–Weiss model at inverse temperature β, given a single observation from this model. We show, by a contiguity argument, that joint estimation of the parameters β and p is impossible, which implies that the estimation of p is impossible if β is unknown. These impossibility results are also extended to the more general p-spin Erdös–Rényi Ising model. The situation is more delicate when β is known. In this case, we show that there exists an increasing threshold function β*(p), such that for all β, consistent estimation of p is impossible when β*(p)>β, and for almost allβ, consistent estimation of p is possible for β*(p)<β. Full article
(This article belongs to the Special Issue Ising Model—100 Years Old and Still Attractive)
13 pages, 4808 KB  
Article
Impact of Ce Doping on the Relaxor Behavior and Electrical Properties of Sr0.4Ba0.6Nb2O6 Ferroelectric Ceramics
by Yingying Zhao, Pu Mao, Ruirui Kang, Ziao Li and Fang Kang
Materials 2025, 18(1), 74; https://doi.org/10.3390/ma18010074 - 27 Dec 2024
Viewed by 1150
Abstract
In this work, the rare earth element Ce was incorporated into the A-site of Sr0.4Ba0.6Nb2O6 ferroelectric ceramics, which was prepared using the conventional solid state reaction method and sintered under different procedures. A comprehensive investigation was [...] Read more.
In this work, the rare earth element Ce was incorporated into the A-site of Sr0.4Ba0.6Nb2O6 ferroelectric ceramics, which was prepared using the conventional solid state reaction method and sintered under different procedures. A comprehensive investigation was conducted to assess the impact of Ce doping and varying sintering procedures on both the relaxor characteristics and electrical properties of the ceramics. When sintered at 1300 °C for 4 h, the grains exhibited an isometric shape. However, when the sintering temperature increases and the holding time prolongs, the grain size increases and presents columnar crystal. The change tendency of dielectric constant is similar with that of the grain size, and the dielectric peak value of samples sintered at 1300 °C for 4 h is the lowest. But the sintering procedure has almost no influence on the Curie point, which notably decreases as the Ce content rises and is primarily governed by the composition. The diffuseness fitting results and the deviation from the Curie–Weiss law indicate that relaxor characteristics increase with the Ce content increasing. The polarization electric (P-E) loops become slimmer with increasing Ce content, verifying the relaxor behavior variation of samples. As a result, the Pmax and Pr values decrease and the PmaxPr value increases with increasing Ce content. Notably, the energy storage density and efficiency enhance obviously with higher Ce content, which is attributed to the relaxor behavior. Furthermore, at a Ce content of 4 mol%, the P-E loops and energy storage performance exhibit remarkable frequency and fatigue stability. Therefore, this study offers valuable insights into the investigation of relaxor behavior and the influence of rare earth elements on the properties of tungsten bronze-structured ferroelectrics. Full article
(This article belongs to the Special Issue Preparation, Properties and Applications of Ferroelectric Materials)
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17 pages, 3344 KB  
Article
B-Site-Ordered and Disordered Structures in A-Site-Ordered Quadruple Perovskites RMn3Ni2Mn2O12 with R = Nd, Sm, Gd, and Dy
by Alexei A. Belik, Ran Liu, Masahiko Tanaka and Kazunari Yamaura
Molecules 2024, 29(23), 5488; https://doi.org/10.3390/molecules29235488 - 21 Nov 2024
Cited by 4 | Viewed by 1406
Abstract
ABO3 perovskite materials with small cations at the A site, especially with ordered cation arrangements, have attracted a lot of interest because they show unusual physical properties and deviations from general perovskite tendencies. In this work, A-site-ordered quadruple perovskites, RMn3Ni [...] Read more.
ABO3 perovskite materials with small cations at the A site, especially with ordered cation arrangements, have attracted a lot of interest because they show unusual physical properties and deviations from general perovskite tendencies. In this work, A-site-ordered quadruple perovskites, RMn3Ni2Mn2O12 with R = Nd, Sm, Gd, and Dy, were synthesized by a high-pressure, high-temperature method at about 6 GPa. Annealing at about 1500 K produced samples with additional (partial) B-site ordering of Ni2+ and Mn4+ cations, crystallizing in space group Pn–3. Annealing at about 1700 K produced samples with disordering of Ni2+ and Mn4+ cations, crystallizing in space group Im–3. However, magnetic properties were nearly identical for the Pn–3 and Im–3 modifications in comparison with ferromagnetic double perovskites R2NiMnO6, where the degree of Ni2+ and Mn4+ ordering has significant effects on magnetic properties. In RMn3Ni2Mn2O12, one magnetic transition was found at 26 K (for R = Nd), 23 K (for R = Sm), and 22 K (for R = Gd), and two transitions were found at 10 K and 36 K for R = Dy. Curie–Weiss temperatures were close to zero in all compounds, suggesting that antiferromagnetic and ferromagnetic interactions are of the same magnitude. Full article
(This article belongs to the Section Inorganic Chemistry)
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12 pages, 4379 KB  
Article
Improving the Energy Storage Performance in Bi0.5Na0.5TiO3-Based Ceramics by Combining Relaxor and Antiferroelectric Properties
by Srinivas Pattipaka, Yeseul Lim, Yundong Jeong, Mahesh Peddigari, Yuho Min, Jae Won Jeong, Jongmoon Jang, Sung-Dae Kim and Geon-Tae Hwang
Materials 2024, 17(20), 5044; https://doi.org/10.3390/ma17205044 - 15 Oct 2024
Viewed by 2060
Abstract
Ceramic capacitors have received great attention for use in pulse power systems owing to their ultra-fast charge–discharge rate, good temperature stability, and excellent fatigue resistance. However, the low energy storage density and low breakdown strength (BDS) of ceramic capacitors limit the practical applications [...] Read more.
Ceramic capacitors have received great attention for use in pulse power systems owing to their ultra-fast charge–discharge rate, good temperature stability, and excellent fatigue resistance. However, the low energy storage density and low breakdown strength (BDS) of ceramic capacitors limit the practical applications of energy storage technologies. In this work, we present a series of relaxor ferroelectric ceramics (1−x) [0.94 Bi0.5Na0.5TiO3 –0.06BaTiO3]– x Sr0.7Bi0.2TiO3 (1-x BNT-BT- x SBT; x = 0, 0.20, 0.225, 0.25, 0.275 and 0.30) with improved energy storage performances by combining relaxor and antiferroelectric properties. XRD, Raman spectra, and SEM characterizations of BNT-BT-SBT ceramics revealed a rhombohedral–tetragonal phase, highly dynamic polar nanoregions, and a reduction in grain size with a homogeneous and dense microstructure, respectively. A high dielectric constant of 1654 at 1 kHz and low remnant polarization of 1.39 µC/cm2 were obtained with the addition of SBT for x = 0.275; these are beneficial for improving energy storage performance. The diffuse phase transition of these ceramics displays relaxor behavior, which is improved with SBT and confirmed by modified the Curie–Weiss law. The combining relaxor and antiferroelectric properties with fine grain size by the incorporation of SBT enables an enhanced maximum polarization of a minimized P-E loop, leading to an improved BDS. As a result, a high recoverable energy density Wrec of 1.02 J/cm3 and a high energy efficiency η of 75.98% at 89 kV/cm were achieved for an optimum composition of 0.725 [0.94BNT-0.06BT]-0.275 SBT. These results demonstrate that BNT-based relaxor ferroelectric ceramics are good candidates for next-generation ceramic capacitors and offer a potential strategy for exploiting novel high-performance ceramic materials. Full article
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24 pages, 31908 KB  
Article
Fabrication of Textured 0.685(Na0.5Bi0.5)TiO3-0.065BaTiO3-0.25SrTiO3 Electrostrictive Ceramics by Templated Grain Growth Using NaNbO3 Templates and Characterization of Their Electrical Properties
by Kiran Andleeb, Doan Thanh Trung, John G. Fisher, Tran Thi Huyen Tran, Jong-Sook Lee, Woo-Jin Choi and Wook Jo
Crystals 2024, 14(10), 861; https://doi.org/10.3390/cryst14100861 - 30 Sep 2024
Cited by 1 | Viewed by 2292
Abstract
Electrostrictive materials based on (Na0.5Bi0.5)TiO3 are promising lead-free candidates for high-precision actuation applications, yet their properties require further improvement. This study aims to enhance the electromechanical properties of a predominantly electrostrictive composition, 0.685(Na0.5Bi0.5)TiO3 [...] Read more.
Electrostrictive materials based on (Na0.5Bi0.5)TiO3 are promising lead-free candidates for high-precision actuation applications, yet their properties require further improvement. This study aims to enhance the electromechanical properties of a predominantly electrostrictive composition, 0.685(Na0.5Bi0.5)TiO3-0.065BaTiO3-0.25SrTiO3, by using templated grain growth. Textured ceramics were prepared with 1~9 wt% NaNbO3 templates. A high Lotgering factor of 95% was achieved with 3 wt% templates and sintering at 1200 °C for 12 h. Polarization and strain hysteresis loops confirmed the ergodic nature of the system at room temperature, with unipolar strain significantly improving from 0.09% for untextured ceramics to 0.23% post-texturing. A maximum normalized strain, Smax/Emax (d33*), of 581 pm/V was achieved at an electric field of 4 kV/mm for textured ceramics. Textured ceramics also showed enhanced performance over untextured ceramics at lower electric fields. The electrostrictive coefficient Q33 increased from 0.017 m4C−2 for untextured ceramics to 0.043 m4C−2 for textured ceramics, accompanied by reduced strain hysteresis, making the textured 0.685(Na0.5Bi0.5)TiO3-0.065BaTiO3-0.25SrTiO3 composition suitable for high-precision actuation applications. Dielectric properties measured between −193 °C and 550 °C distinguished the depolarization, Curie–Weiss and Burns temperatures, and activation energies for polar nanoregion transitions and dc conduction. Dispersive dielectric constants were found to observe the “two” law exhibiting a temperature dependence double the value of the Curie–Weiss constant, with shifts of about 10 °C per frequency decade where the non-dispersive THz limit was identified. Full article
(This article belongs to the Special Issue Advanced Ferroelectric, Piezoelectric and Dielectric Ceramics)
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9 pages, 3502 KB  
Article
Synthesis and Characterization of the Double Perovskite Y2MgRuO6
by Sahana Rößler, Ulrich Burkhardt, Liu H. Tjeng and Alexander C. Komarek
Crystals 2023, 13(9), 1365; https://doi.org/10.3390/cryst13091365 - 11 Sep 2023
Viewed by 1998
Abstract
A new double perovskite compound with nominal composition Y2MgRuO6 is synthesized by the floating zone technique. X-ray diffraction measurements reveal a monoclinic crystal structure with space group P21/n and monoclinic angle β = 90.178(1) as [...] Read more.
A new double perovskite compound with nominal composition Y2MgRuO6 is synthesized by the floating zone technique. X-ray diffraction measurements reveal a monoclinic crystal structure with space group P21/n and monoclinic angle β = 90.178(1) as crystallographically expected for a double perovskite. A composition of Y1.880(8)Mg0.953(4)Ru1.047(4)O6δ is revealed by our single crystal X-ray diffraction measurement. The magnetic susceptibility of this compound does not show indications of magnetic ordering down to the lowest temperature. A Curie–Weiss fit for the paramagnetic part above 300 K yields an effective moment that indicates an S = 1 Ru4+ state. We attribute the occurrence of the S = 1 state and the lack of magnetic order to the presence of the B/B-site disorder. Full article
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12 pages, 4017 KB  
Article
Enhanced Energy Storage Performance and Efficiency in Bi0.5(Na0.8K0.2)0.5TiO3-Bi0.2Sr0.7TiO3 Relaxor Ferroelectric Ceramics via Domain Engineering
by Srinivas Pattipaka, Hyunsu Choi, Yeseul Lim, Kwi-Il Park, Kyeongwoon Chung and Geon-Tae Hwang
Materials 2023, 16(14), 4912; https://doi.org/10.3390/ma16144912 - 9 Jul 2023
Cited by 11 | Viewed by 3278
Abstract
Dielectric materials are highly desired for pulsed power capacitors due to their ultra-fast charge-discharge rate and excellent fatigue behavior. Nevertheless, the low energy storage density caused by the low breakdown strength has been the main challenge for practical applications. Herein, we report the [...] Read more.
Dielectric materials are highly desired for pulsed power capacitors due to their ultra-fast charge-discharge rate and excellent fatigue behavior. Nevertheless, the low energy storage density caused by the low breakdown strength has been the main challenge for practical applications. Herein, we report the electric energy storage properties of (1 − x) Bi0.5(Na0.8K0.2)0.5TiO3-xBi0.2Sr0.7TiO3 (BNKT-BST; x = 0.15–0.50) relaxor ferroelectric ceramics that are enhanced via a domain engineering method. A rhombohedral-tetragonal phase, the formation of highly dynamic PNRs, and a dense microstructure are confirmed from XRD, Raman vibrational spectra, and microscopic investigations. The relative dielectric permittivity (2664 at 1 kHz) and loss factor (0.058) were gradually improved with BST (x = 0.45). The incorporation of BST into BNKT can disturb the long-range ferroelectric order, lowering the dielectric maximum temperature Tm and inducing the formation of highly dynamic polar nano-regions. In addition, the Tm shifts toward a high temperature with frequency and a diffuse phase transition, indicating relaxor ferroelectric characteristics of BNKT-BST ceramics, which is confirmed by the modified Curie-Weiss law. The rhombohedral-tetragonal phase, fine grain size, and lowered Tm with relaxor properties synergistically contribute to a high Pmax and low Pr, improving the breakdown strength with BST and resulting in a high recoverable energy density Wrec of 0.81 J/cm3 and a high energy efficiency η of 86.95% at 90 kV/cm for x = 0.45. Full article
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11 pages, 2289 KB  
Article
Hydrothermal Synthesis and Magnetic Properties of Zn/Mn Oxides Nano Particles
by Izabela Kuryliszyn-Kudelska, Witold Dobrowolski, Monika Arciszewska, Branka Hadžić, Nebojsa Romčević, Maja Romčević, Daniel Sibera and Urszula Narkiewicz
Magnetochemistry 2023, 9(6), 139; https://doi.org/10.3390/magnetochemistry9060139 - 25 May 2023
Cited by 3 | Viewed by 3258
Abstract
The aim of this study was to investigate the magnetic properties of mixed nanocrystalline Zn/manganese oxide compounds synthesized by a hydrothermal method. These compounds are designed as (ZnO)1−n(MnO)n, where index n ranges from 0.05 to 0.60. The results of [...] Read more.
The aim of this study was to investigate the magnetic properties of mixed nanocrystalline Zn/manganese oxide compounds synthesized by a hydrothermal method. These compounds are designed as (ZnO)1−n(MnO)n, where index n ranges from 0.05 to 0.60. The results of magnetic measurements, including AC magnetic susceptibility as a function of temperature (up to 160 K) and frequency (from 7 Hz up to 9970 Hz), as well as DC magnetization in magnetic fields up to 9 T and temperature up to 50 K, are reported. We observed various types of magnetic behavior depending on the nominal weight content of MnO. Samples with a low nominal content (up to n = 0.10) of MnO exhibited Curie–Weiss behavior at higher temperatures. For samples with high nominal weight contribution (from n = 0.30 to 0.60), spin-glass-like or/and weak ferromagnetic behavior is observed. Full article
(This article belongs to the Special Issue Advances in Magnetic Nanomaterials and Nanostructures)
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16 pages, 4310 KB  
Article
Magnetic and Optical Properties of Natural Diamonds with Subcritical Radiation Damage Induced by Fast Neutrons
by Nikolai A. Poklonski, Andrey A. Khomich, Ivan A. Svito, Sergey A. Vyrko, Olga N. Poklonskaya, Alexander I. Kovalev, Maria V. Kozlova, Roman A. Khmelnitskii and Alexander V. Khomich
Appl. Sci. 2023, 13(10), 6221; https://doi.org/10.3390/app13106221 - 19 May 2023
Cited by 6 | Viewed by 3066
Abstract
Raman spectroscopy and magnetic properties of the natural single crystalline diamonds irradiated with high fluences of fast reactor neutrons have been investigated. Raman spectra transformations were studied in the range from moderate levels up to radiation damage leading to diamond graphitization. The selection [...] Read more.
Raman spectroscopy and magnetic properties of the natural single crystalline diamonds irradiated with high fluences of fast reactor neutrons have been investigated. Raman spectra transformations were studied in the range from moderate levels up to radiation damage leading to diamond graphitization. The selection of fast neutrons irradiated diamonds for magnetic measurements was carried out according to Raman scattering data on the basis of the intensity criterion and the spectral position of the “1640” band. It was found that in natural diamonds irradiated with neutrons with an extremely high subcritical fluence F = 5 × 1020 cm−2, the transition from a diamagnetic to a ferromagnetic state is observed at the Curie–Weiss temperature of ≈150 K. The energy of the exchange magnetic interaction of uncompensated spins is estimated to be ≈1.7 meV. The differential magnetic susceptibility estimated from the measurements of magnetic moment for temperature 2 K in the limit of B ≈ 0 is χdiff ≈ 1.8 × 10−3 SI units. The nature of magnetism in radiation-disordered single-crystal hydrogen- and metal-free natural diamond grains was discussed. Full article
(This article belongs to the Special Issue Novel Nanomaterials and Nanostructures)
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33 pages, 1699 KB  
Article
On Magnetic Models in Wavefunction Ensembles
by Leonardo De Carlo and William D. Wick
Entropy 2023, 25(4), 564; https://doi.org/10.3390/e25040564 - 25 Mar 2023
Cited by 5 | Viewed by 4774
Abstract
In a wavefunction-only philosophy, thermodynamics must be recast in terms of an ensemble of wavefunctions. In this perspective we study how to construct Gibbs ensembles for magnetic quantum spin models. We show that with free boundary conditions and distinguishable “spins” there are no [...] Read more.
In a wavefunction-only philosophy, thermodynamics must be recast in terms of an ensemble of wavefunctions. In this perspective we study how to construct Gibbs ensembles for magnetic quantum spin models. We show that with free boundary conditions and distinguishable “spins” there are no finite-temperature phase transitions because of high dimensionality of the phase space. Then we focus on the simplest case, namely the mean-field (Curie–Weiss) model, in order to discover whether phase transitions are even possible in this model class. This strategy at least diminishes the dimensionality of the problem. We found that, even assuming exchange symmetry in the wavefunctions, no finite-temperature phase transitions appear when the Hamiltonian is given by the usual energy expression of quantum mechanics (in this case the analytical argument is not totally satisfactory and we relied partly on a computer analysis). However, a variant model with additional “wavefunction energy” does have a phase transition to a magnetized state. (With respect to dynamics, which we do not consider here, wavefunction energy induces a non-linearity which nevertheless preserves norm and energy. This non-linearity becomes significant only at the macroscopic level.) The three results together suggest that magnetization in large wavefunction spin chains appears if and only if we consider indistinguishable particles and block macroscopic dispersion (i.e., macroscopic superpositions) by energy conservation. Our principle technique involves transforming the problem to one in probability theory, then applying results from large deviations, particularly the Gärtner–Ellis Theorem. Finally, we discuss Gibbs vs. Boltzmann/Einstein entropy in the choice of the quantum thermodynamic ensemble, as well as open problems. Full article
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
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13 pages, 6722 KB  
Article
Magnetic Susceptibility of a Nanocomposite Based on an Opal Matrix with Yb2Ti2O7 Particles
by Anatoly B. Rinkevich, Olga V. Nemytova and Dmitry V. Perov
J. Compos. Sci. 2023, 7(3), 97; https://doi.org/10.3390/jcs7030097 - 3 Mar 2023
Cited by 1 | Viewed by 1667
Abstract
The DC and AC magnetic susceptibilities of an opal matrix-based nanocomposite with pyrochlore-structured ytterbium titanate particles up to 60 nm in size have been studied in the range of magnetic fields up to 30 kOe. The measurements were performed at temperatures from 2 [...] Read more.
The DC and AC magnetic susceptibilities of an opal matrix-based nanocomposite with pyrochlore-structured ytterbium titanate particles up to 60 nm in size have been studied in the range of magnetic fields up to 30 kOe. The measurements were performed at temperatures from 2 to 200 K. The temperature dependence of the nanocomposite Yb2Ti2O7 has been found to deviate significantly from the Curie–Weiss law. From the frequency dependence of the AC susceptibility measured in the range from 10 Hz to 10 kHz, the spin relaxation times have been determined, and two relaxation times have been found to be required for the description of the frequency dependence of the susceptibility. The field dependence of the AC susceptibility has been measured. This dependence is proved to be described by the modified Cole–Cole formula. The characteristic fields of the magnetic field dependence of the real part of the susceptibility are determined, the value of the characteristic field being found to increase with increasing temperatures. Full article
(This article belongs to the Special Issue Magnetic Composites)
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