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Solids, Volume 6, Issue 4 (December 2025) – 15 articles

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13 pages, 1999 KB  
Article
Optimizing Organic Photovoltaic Efficiency Through Controlled Doping of ZnS/Co Nanoparticles
by Jude N. Ike and Raymond Tichaona Taziwa
Solids 2025, 6(4), 69; https://doi.org/10.3390/solids6040069 - 11 Dec 2025
Cited by 1 | Viewed by 637
Abstract
Thin-film organic solar cells (TFOSCs) are gaining momentum as next-generation photovoltaic technologies due to their lightweight nature, mechanical flexibility, and low cost-effective fabrication. In this pioneering study, we report for the first time the incorporation of cobalt-doped zinc sulfide [...] Read more.
Thin-film organic solar cells (TFOSCs) are gaining momentum as next-generation photovoltaic technologies due to their lightweight nature, mechanical flexibility, and low cost-effective fabrication. In this pioneering study, we report for the first time the incorporation of cobalt-doped zinc sulfide (ZnS/Co) nanoparticles (NPs) into a poly(3-hexylthiophene) (P3HT) and [6,6]-phenyl-C61-butyric acid methyl ester (PC61BM) bulk-heterojunction photoactive layer. ZnS/Co NPs were successfully synthesized via a wet chemical method and integrated at varying concentrations (1%wt, 3%wt, and 5%wt) to systematically investigate their influence on device performance. The optimal doping concentration of 3%wt yielded a remarkable power conversion efficiency (PCE) of 4.76%, representing a 102% enhancement over the pristine reference device (2.35%) under ambient laboratory conditions. The observed positive trend is attributed to the localized surface plasmon resonance (LSPR) effect and near-field optical enhancement induced by the presence of ZnS/Co NPs in the active layer, thereby increasing light-harvesting capability and exciton dissociation. Comprehensive morphological and optical characterizations using high-resolution scanning electron microscopy (HRSEM), high-resolution transmission electron microscopy (HRTEM), and spectroscopic techniques confirmed uniform nanoparticle dispersion, nanoscale crystallinity, and effective light absorption. These findings highlight the functional role of ZnS/Co NPs as dopants in enhancing TFOSC performance, providing valuable insights into optimizing nanoparticle concentration. This work offers a scalable and impactful strategy for advancing high-efficiency, flexible, and wearable organic photovoltaic devices. Full article
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7 pages, 1376 KB  
Article
Intrinsic Defect-Related Photoluminescence in Single-Crystalline Tin Dioxide
by Vadim F. Agekyan, Nikolai G. Filosofov, Alexey Yu. Serov and Igor V. Shtrom
Solids 2025, 6(4), 68; https://doi.org/10.3390/solids6040068 - 11 Dec 2025
Viewed by 606
Abstract
Photoluminescence studies of single-crystalline SnO2 grown by chemical vapor transport from SnCl4 and H2O vapors were carried out in the visible spectral range. A non-trivial dependence of the 2.6 eV emission band on temperature and optical excitation level was [...] Read more.
Photoluminescence studies of single-crystalline SnO2 grown by chemical vapor transport from SnCl4 and H2O vapors were carried out in the visible spectral range. A non-trivial dependence of the 2.6 eV emission band on temperature and optical excitation level was observed. Based on the obtained data, the ionization energy of a shallow donor in SnO2 was estimated to be 7 meV. Additionally, a model of energy levels and radiative transitions associated with shallow donors and intrinsic defects is proposed. Full article
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13 pages, 2784 KB  
Article
Investigation of the Microwave Absorption Properties of Bi1.7Pb0.3Sr2Ca2Cu3O10-Based Ceramic Composites
by Sean Roubion, Krishna Prasad Sharma, Ganesh Dhakal and Guang-Lin Zhao
Solids 2025, 6(4), 67; https://doi.org/10.3390/solids6040067 - 5 Dec 2025
Viewed by 1095
Abstract
This study investigates the microwave absorption properties of the cuprate ceramic material Bi1.7Pb0.3Sr2Ca2Cu3O10 (BSCCO) and its composites with bismuth oxide (Bi2O3) in the 4–25 GHz frequency range. Composites [...] Read more.
This study investigates the microwave absorption properties of the cuprate ceramic material Bi1.7Pb0.3Sr2Ca2Cu3O10 (BSCCO) and its composites with bismuth oxide (Bi2O3) in the 4–25 GHz frequency range. Composites with varying BSCCO contents were fabricated and characterized using the Nicolson–Ross–Weir method and Agilent Materials Measurement Software 85071E to determine complex permeability and permittivity. The 4 wt.% BSCCO composite exhibited a peak reflection loss of −32.6 dB at 12.5 GHz, while the 40 wt.% BSCCO composite reached a 52% microwave absorption ratio at 23 GHz. These results demonstrate that microwave absorption is strongly influenced by dielectric properties and the ratio of BSCCO and Bi2O3 composites. This work highlights the potential of BSCCO-Bi2O3 ceramics for microwave absorption applications, particularly in environments experiencing significant temperature gradients due to their thermal stability and electromagnetic performance. Full article
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14 pages, 2527 KB  
Article
A HF-Free Synthesis Method for High-Luminescent Efficiency Narrow-Bandgap Red Phosphor K3AlF6: Mn4+ with NH4HF2 as the Molten Salt
by Chenxing Liao, Feng Zhou, Wei Xie and Liaolin Zhang
Solids 2025, 6(4), 66; https://doi.org/10.3390/solids6040066 - 1 Dec 2025
Viewed by 595
Abstract
Mn4+-doped fluoride red phosphors are widely used in white LED lighting and display applications due to their excellent luminescent properties. However, their synthesis relies heavily on highly toxic aqueous hydrofluoric acid, which not only causes severe environmental and soil/water pollution but [...] Read more.
Mn4+-doped fluoride red phosphors are widely used in white LED lighting and display applications due to their excellent luminescent properties. However, their synthesis relies heavily on highly toxic aqueous hydrofluoric acid, which not only causes severe environmental and soil/water pollution but also makes it difficult to control the microstructure of the products due to the rapid reaction rate. In this study, low-melting-point NH4HF2 was used as the molten salt, with KMnO4 and MnF2 as manganese sources, to synthesize the red phosphor K3AlF6: Mn4+ via the molten salt method. After the reaction, impurities such as NH4HF2 were removed by washing with a dilute H2O2 solution. The microstructure, photoluminescence properties, thermal quenching behavior, and application in warm white light-emitting diodes (W-LEDs) of the K3AlF6: Mn4+ phosphors were investigated. The results indicate that the phosphors prepared by this method consist of a single pure phase. By adjusting the molten salt content, the morphology of the product can be transformed from nanoparticle-like to nanorod-like structures. All products exhibit the characteristic red emission of Mn4+ under blue and violet light excitation, with the optimally doped sample achieving an internal quantum efficiency (IQE) of 69% under blue light excitation. The combination of the obtained K3AlF6: Mn4+ with the yellow phosphor YAG enabled the fabrication of W-LEDs. These W-LEDs achieved a color rendering index (Ra) of 86.8, a luminous efficacy (LE) of 77 lm/W, and a correlated color temperature (CCT) of 3690 K, along with excellent color stability under operating conditions. Full article
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28 pages, 13303 KB  
Article
Effect of Processing History on the Microstructure and Magnetic Properties of Ultra-Low Carbon Si + Sb Non-Oriented Electrical Steels
by Fernando Hernández-Navarro, Armando Salinas-Rodríguez, Rogelio Deaquino-Lara, Javier Aguilar-Carrillo, Iván A. Reyes-Domínguez, Lizangela Guerra-Fuentes, Ma. de J. Soria-Aguilar, Francisco R. Carrillo-Pedroza, Josefina García-Guerra, Verónica E. Salazar-Muñoz and Emmanuel J. Gutiérrez-Castañeda
Solids 2025, 6(4), 65; https://doi.org/10.3390/solids6040065 - 27 Nov 2025
Cited by 1 | Viewed by 1427
Abstract
In this work, different processing routes were investigated to evaluate the effects of hot rolling temperature, annealing before cold rolling (ABCR), and one- or two-stage cold rolling and annealing schedules to obtain more efficient electrical steels. The correlation between processing variables, microstructure, thickness, [...] Read more.
In this work, different processing routes were investigated to evaluate the effects of hot rolling temperature, annealing before cold rolling (ABCR), and one- or two-stage cold rolling and annealing schedules to obtain more efficient electrical steels. The correlation between processing variables, microstructure, thickness, and magnetic properties was established from the analysis of 3D surface plots. It was found that the lowest core loss values (3.4 W/kg) were obtained when steel is processed by hot rolling (800 °C), ABCR (880 °C–180 min), first cold rolling (up to 0.25 mm), first annealing (850 °C–10 min), second cold rolling (up to 0.2 mm), and second annealing (850 °C–10 min). The better combination between thickness and grain size leads to the enhancement of the magnetic properties, which affects the way eddy and hysteresis losses contribute to the total core losses. Full article
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21 pages, 4727 KB  
Article
The Effect of Material Arrangement Order on Ballistic Resistance of Ceramic Composite Armor Structure
by Yu Liang Chen, Cheng Kun Chu and Ya Chih Chang
Solids 2025, 6(4), 64; https://doi.org/10.3390/solids6040064 - 17 Nov 2025
Viewed by 2034
Abstract
This study investigates the ballistic performance and energy-absorption behavior of advanced multilayer ceramic composite armor systems composed of silicon carbide (SiC) ceramics, composite metal foam (CMF), rolled homogeneous armor (RHA), ultra-high-molecular-weight polyethylene (UHMWPE), aluminum, and rubber interlayers. The objective is to enhance impact [...] Read more.
This study investigates the ballistic performance and energy-absorption behavior of advanced multilayer ceramic composite armor systems composed of silicon carbide (SiC) ceramics, composite metal foam (CMF), rolled homogeneous armor (RHA), ultra-high-molecular-weight polyethylene (UHMWPE), aluminum, and rubber interlayers. The objective is to enhance impact resistance and optimize energy dissipation efficiency against armor-piercing (AP) projectiles. Ballistic tests were performed following the NIJ Standard 0101.06 Level IV specifications using .30” caliber AP M2 rounds with an impact velocity of 784–844 m/s. Experimental results revealed that the SiC front layer effectively fragmented the projectile and dispersed its kinetic energy, while the CMF and UHMWPE layers were the primary energy absorbers, dissipating approximately 70% of the total impact energy (≈3660 J). The aluminum and RHA layers provided additional reinforcement, and the rubber interlayer significantly reduced stress-wave propagation and suppressed crack growth in the ceramic. The most efficient configuration 0.5 mm RHA + 7 mm SiC + 7 mm EPDM + 7 mm CMF + 5 mm UHMWPE achieved an areal density absorption of 77.2 J·m2/kg and a unit thickness absorption of 190.6 J/mm. These findings establish a quantitative layer-wise energy dissipation framework, highlighting the synergistic interaction between brittle, porous, and ductile layers. This work provides practical design principles for developing lightweight, high-efficiency composite armor systems applicable to defense, aerospace, and personal protection fields. Moreover, this study not only validates the NIJ Standard 0101.06 ballistic performance experimentally but also establishes a reproducible methodology for quantitative, layer-wise energy analysis of hybrid ceramic-CMF-fiber armor systems, offering a scientific framework for future model calibration and optimization. Full article
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15 pages, 909 KB  
Article
R-Matrix Theory in a Semiconductor Quantum Device: Weak Formulation and Current Conserving Approximations
by Ulrich Wulf and Jan Kučera
Solids 2025, 6(4), 63; https://doi.org/10.3390/solids6040063 - 10 Nov 2025
Viewed by 883
Abstract
In a series of previous publications an R-matrix approach was developed to describe transport in N-pole quantum devices in the Landauer–Büttiker formalism. Central quantities in this formalism are the transmission coefficients occurring in coherent scattering functions ranging throughout the device. Here we develop [...] Read more.
In a series of previous publications an R-matrix approach was developed to describe transport in N-pole quantum devices in the Landauer–Büttiker formalism. Central quantities in this formalism are the transmission coefficients occurring in coherent scattering functions ranging throughout the device. Here we develop the weak formulation version of this approach. It allows to introduce systematically approximations that reduce the exact problem to suitable matrix equations that can be solved on the computer. As a major advantage of our method any approximation found in the weak formulation approach to the R-matrix is current conserving by construction. Here the essential step is the representation of the current S-matrix by a Cayley transform. Restricting us to the one-dimensional case we find that the R-matrix in weak formulation generates a real symmetric Cayley transform by construction. From general theory it follows immediately that the current is conserved. Full article
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23 pages, 27724 KB  
Article
Gaussian Process Regression for Machine Learning on Effective Crystal Graphs of Body-Centered Cubic Iron
by Blaise Awola Ayirizia, Adrian De la Rocha, Valeria I. Arteaga-Muñiz, Yu-Hang Tang, Wibe A. De Jong and Jorge A. Muñoz San Martín
Solids 2025, 6(4), 62; https://doi.org/10.3390/solids6040062 - 6 Nov 2025
Viewed by 2499
Abstract
Most machine learning algorithms operate on vectorized data with Euclidean structures because of the significant mathematical advantages offered by Hilbert space, but improved representational efficiency may offset more involved learning on non-Euclidean structures. Recently, a method that integrates the marginalized graph kernel into [...] Read more.
Most machine learning algorithms operate on vectorized data with Euclidean structures because of the significant mathematical advantages offered by Hilbert space, but improved representational efficiency may offset more involved learning on non-Euclidean structures. Recently, a method that integrates the marginalized graph kernel into the Gaussian process regression framework was used to learn directly on molecular graphs. Here, we describe an implementation of this method for crystalline materials based on effective crystal graph representations: the molecular graphs of 128-atom supercells of body-centered cubic (BCC) iron with periodic boundary conditions. Regressors trained on hundreds of time steps of a density functional theory molecular dynamics (DFT-MD) simulation achieved root mean square errors of less than 5 meV/atom. The mechanical stability of BCC iron was investigated at high pressure and elevated temperature using regressors trained on short DFT-MD runs, including at conditions found in the inner core of the earth. Phonon dispersions obtained from the short runs show that BCC iron is mechanically stable at 360 GPa when the temperature is above 2500 K. Atoms in the super cell were displaced in the direction of the first, second, and third nearest-neighbors from selected configurations that included thermal atomic displacements, and forces exerted on the displaced atoms were computed by numerical differentiation of the regressors. Full article
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13 pages, 1918 KB  
Article
Low-Frequency Phonon Scattering in Wurtzite Cadmium Sulfide: An Off- and Near-Resonance Raman Spectroscopy Study
by Carlos Israel Medel Ruiz, Roger Chiu, Jesús Ricardo Sevilla Escoboza, Jesús Castañeda Contreras, Francisco Gerardo Peña Lecona and Jesús Muñoz Maciel
Solids 2025, 6(4), 61; https://doi.org/10.3390/solids6040061 - 4 Nov 2025
Viewed by 1907
Abstract
Phonons, the quantized lattice vibrations, are fundamental for a wide range of phenomena in condensed matter systems. In particular, low-frequency phonons significantly influence electrical conductivity, thermal transport, and the optical properties of solid-state materials. Although there is considerable literature on cadmium sulfide (CdS) [...] Read more.
Phonons, the quantized lattice vibrations, are fundamental for a wide range of phenomena in condensed matter systems. In particular, low-frequency phonons significantly influence electrical conductivity, thermal transport, and the optical properties of solid-state materials. Although there is considerable literature on cadmium sulfide (CdS) phonons—studied, for example, using resonance Raman spectroscopy—up-to-date information on the low-frequency phonons of this important semiconductor is still lacking. In this study, Raman spectroscopy under off- and near-resonance conditions is employed to investigate the low-frequency phonon in wurtzite CdS single crystals. Under off-resonance conditions, the spectrum exhibits multiple low-intensity peaks, which were analyzed through curve fitting. In contrast, the near-resonance spectrum shows an intense, broad band that was deconvoluted into its constituent components, including an antiresonance feature that was mathematically modeled for the first time in CdS. The results demonstrate that Raman scattering intensity in both regimes provides valuable insights into the low-frequency phonon modes of CdS. These findings enhance our understanding of the material’s vibrational properties and may facilitate the development of more efficient CdS-based optoelectronic devices. Full article
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30 pages, 10794 KB  
Article
Effects of Preparation Conditions and Ammonia/Methylamine Treatment on Structure of Graphite Intercalation Compounds with FeCl3, CoCl2, NiCl2 and Derived Metal-Containing Expanded Graphite
by Aleksandr D. Muravev, Andrei V. Ivanov, Vladimir A. Mukhanov, Sergey K. Dedushenko, Boris A. Kulnitskiy, Alexander V. Vasiliev, Natalia V. Maksimova and Victor V. Avdeev
Solids 2025, 6(4), 60; https://doi.org/10.3390/solids6040060 - 30 Oct 2025
Viewed by 1069
Abstract
Composites in which finely dispersed particles of the metallic phase are uniformly distributed over the surface of expanded graphite can be used as magnetic sorbents for crude oil and petroleum products, as well as a basis for creating screens that protect against electromagnetic [...] Read more.
Composites in which finely dispersed particles of the metallic phase are uniformly distributed over the surface of expanded graphite can be used as magnetic sorbents for crude oil and petroleum products, as well as a basis for creating screens that protect against electromagnetic radiation. The literature describes various approaches to obtaining such materials, but from a technological point of view, the most promising is the method in which the formation of a metal-containing phase on the surface of expanded graphite is directly combined with its expansion. For this purpose, graphite intercalation compounds with chlorides of metals of the iron triad (GIC-MClx) were obtained: GIC-FeCl3 of I-VII stages, GIC-CoCl2 of I/II stage and GIC-NiCl2 of II/III stage, which were treated with liquid NH3 or CH3NH2 in order to obtain an occlusive complex, which, due to the presence of a large amount of bound RNH2, would be capable of effective thermal expansion during heating in an inert atmosphere with the formation of low-density expanded graphite, and the presence of reducing properties in ammonia and methylamine would lead to the reduction of the metal from chloride. The structure of GIC-MClx and GIC-MClx treated by NH3 and CH3NH2 was investigated by XRD analysis and Mossbauer spectroscopy. The composition of the metal-containing phase in expanded graphite/metal composite was determined by XRD analysis and its quantity by the gravimetric method. The distribution of metals particles is investigated by SEM, TEM and EDX methods. Expanded graphite/metal composites are characterized by the high saturation magnetization (up to ≈ 50 emu/g) at a bulk density of 4–6 g/L. Full article
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13 pages, 8193 KB  
Article
Green-Synthesized Zinc Oxide Nanoparticles with Enhanced Release Behavior for Sustainable Agricultural Applications
by Riyad Al Sharif, Ayman S. Ayesh, Muayad Esaifan, Naem Mazahrih, Nabeel Bani Hani, Bayan Al Rjoub, Eva Rayya and Majd Abu Salem
Solids 2025, 6(4), 59; https://doi.org/10.3390/solids6040059 - 26 Oct 2025
Cited by 3 | Viewed by 2595
Abstract
This study presents a green and sustainable approach for synthesizing zinc oxide nanoparticles (ZnO-NPs) using Melia azedarach leaf extract as a reducing and stabilizing agent, with zinc acetate as the precursor. The synthesized nanoparticles were thoroughly characterized to assess their structural, morphological, and [...] Read more.
This study presents a green and sustainable approach for synthesizing zinc oxide nanoparticles (ZnO-NPs) using Melia azedarach leaf extract as a reducing and stabilizing agent, with zinc acetate as the precursor. The synthesized nanoparticles were thoroughly characterized to assess their structural, morphological, and physicochemical properties, revealing nanoscale dimensions, enhanced crystallinity, and improved stability compared to commercial ZnO. Controlled release experiments under plant-relevant pH conditions demonstrated a gradual and sustained release of Zn2+ ions, accompanied by buffering effects and re-precipitation of Zn(OH)2, highlighting their potential for long-term nutrient availability in soil systems. Unlike conventional studies that focus mainly on synthesis or characterization, this work emphasizes the functional performance of ZnO-NPs as nanofertilizers, combining eco-friendly production with practical agricultural applications. The plant-mediated synthesis yielded nanoparticles with uniform size distribution, enhanced dispersion, and stability, which are critical for efficient nutrient delivery and persistence in soil. Overall, this study provides a cost-effective, scalable, and environmentally benign strategy for producing ZnO nanoparticles and offers valuable insights into the development of sustainable nanofertilizers aimed at improving crop nutrition, soil fertility, and agricultural productivity. Full article
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17 pages, 4025 KB  
Article
CaSrxCu3−xTi4O12 Ceramic Oxide Modified with Graphene Oxide and Reduced Graphene Oxide for Supercapacitor Applications
by Hussein Abdul Karin Moussa, Johan Alexander Cortés Suárez, Felipe de Almeida La Porta and Márcio Sousa Góes
Solids 2025, 6(4), 58; https://doi.org/10.3390/solids6040058 - 21 Oct 2025
Viewed by 1603
Abstract
This study investigates CaCu3−xSrxTi4O12 (CCSTO) systems synthesized using the solid-state method, with x compositions of 0.00, 0.15, and 3.00. The samples were modified using 6 wt% graphene oxide (GO) and reduced GO (rGO) prepared via Hummer’s [...] Read more.
This study investigates CaCu3−xSrxTi4O12 (CCSTO) systems synthesized using the solid-state method, with x compositions of 0.00, 0.15, and 3.00. The samples were modified using 6 wt% graphene oxide (GO) and reduced GO (rGO) prepared via Hummer’s method to evaluate their performance as electrodes in supercapacitors. The results indicate that the addition of 6wt% rGO to CCTO (CCTO-6rGO) led to an improvement in specific capacitance, reaching 237.76 mF·g−1 at a scan rate of 10 mV/s, compared to 29.86 mF·g−1 for pure CCTO and only 7.83 mF·g−1 for CCTO-6GO, suggesting that rGO enhances charge storage. For the CCTO15Sr samples, CCTO15Sr-6rGO exhibited the highest specific capacitance, with 321.63 mF·g−1 at 10 mV/s, surpassing both pure CCTO15Sr (80.19 mF·g−1) and CCTO15Sr-6GO (25.73 mF·g−1). These results stem from oxygen and metal vacancies, which aid charge accumulation and ion diffusion. In contrast, adding GO generally reduced specific capacitance in all samples. The findings highlight CCSTO’s potential—especially with rGO modification—as a supercapacitor electrode while also indicating areas for further optimization. Full article
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15 pages, 4143 KB  
Article
Microstructure and Mechanical Performance of Cu and Gr/Cu Composites: Experimental and Ab Initio Insights
by Galiia Korznikova, Gulnara Khalikova, Igor Kosarev, Wei Wei, Alexander Semenov and Elena Korznikova
Solids 2025, 6(4), 57; https://doi.org/10.3390/solids6040057 - 8 Oct 2025
Viewed by 1060
Abstract
This study investigates the microstructure and mechanical properties of copper (Cu) and graphene/Cu (Gr/Cu) composites produced via high-pressure torsion (HPT) under 5 GPa at room temperature. Microstructural analysis revealed significant grain refinement, with average grain sizes of 0.39 μm for pure Cu and [...] Read more.
This study investigates the microstructure and mechanical properties of copper (Cu) and graphene/Cu (Gr/Cu) composites produced via high-pressure torsion (HPT) under 5 GPa at room temperature. Microstructural analysis revealed significant grain refinement, with average grain sizes of 0.39 μm for pure Cu and 0.35 μm for Gr/Cu composite. The Gr/Cu composite exhibited slightly higher microstrains and effective stacking fault energy (SFE). Tensile tests showed ultimate tensile strengths of 689 MPa (pure Cu) and 674 MPa (Gr/Cu), with the latter demonstrating improved ductility (~10% elongation). Ab initio calculations confirmed a 27% increase in SFE for Gr/Cu, aligning with experimental results. These findings highlight the potential of Gr/Cu composites for applications requiring high strength and efficient heat dissipation. Full article
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22 pages, 5267 KB  
Article
On Ballooning and Burst Behavior of Nuclear Fuel Clad Considering Heating Rate Effect: Development of a Damage Model, a Burst Correlation and Experimental Validation
by Ather Syed and Mahendra Kumar Samal
Solids 2025, 6(4), 56; https://doi.org/10.3390/solids6040056 - 28 Sep 2025
Viewed by 1421
Abstract
Nuclear fuel cladding serves as the primary barrier to the release of radioactive fission products and is subjected to high-temperature and high-pressure environments during both normal reactor operation and accident scenarios such as loss of coolant accidents (LOCAs). Predicting the burst behavior of [...] Read more.
Nuclear fuel cladding serves as the primary barrier to the release of radioactive fission products and is subjected to high-temperature and high-pressure environments during both normal reactor operation and accident scenarios such as loss of coolant accidents (LOCAs). Predicting the burst behavior of cladding is essential for ensuring structural integrity, especially under varying heating rates—an aspect inadequately addressed in existing empirical models. In this study, a finite element-based damage model is developed to simulate the ballooning and burst behavior of Zircaloy-4 cladding. The model incorporates creep deformation, stress triaxiality, and time-dependent damage accumulation. Material behavior is characterized using experimentally determined creep constants and the model is calibrated against burst test data from the literature. A new heating-rate-dependent burst correlation is proposed based on model outputs. The results indicate that increasing the heating rate raises the burst temperature due to reduced exposure time in the temperature regime where creep damage accumulates significantly. The model accurately reproduces burst behavior across a wide range of internal pressures (1–10 MPa) and heating rates (5–100 °C/s). The newly developed correlation improves predictive capability in accident analysis tools and can be directly implemented into safety analysis codes for Indian pressurized heavy water reactors (PHWRs), contributing to enhanced reactor safety evaluations. Full article
(This article belongs to the Topic Multi-scale Modeling and Optimisation of Materials)
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19 pages, 6620 KB  
Article
DFT Study of Oxygen Ion Migration in Mg-Doped Cubic Zirconia
by Zhussupbek M. Salikhodzha, Guldari B. Bairbayeva, Anatoli I. Popov, Raigul N. Kassymkhanova, Keleshek B. Zhangylyssov, Elena Popova and Marina Konuhova
Solids 2025, 6(4), 55; https://doi.org/10.3390/solids6040055 - 25 Sep 2025
Cited by 3 | Viewed by 1994
Abstract
This work presents a theoretical investigation of ionic conductivity in cubic zirconia (c-ZrO2) doped with magnesium, using density functional theory (DFT) with the hybrid B3LYP functional as implemented in the CRYSTAL23 software package. It was found that the spatial arrangement of [...] Read more.
This work presents a theoretical investigation of ionic conductivity in cubic zirconia (c-ZrO2) doped with magnesium, using density functional theory (DFT) with the hybrid B3LYP functional as implemented in the CRYSTAL23 software package. It was found that the spatial arrangement of magnesium atoms and oxygen vacancies significantly affects the energy barriers for oxygen ion migration. Configurations with magnesium located along and outside the migration path were analyzed. The results show that when Mg2+ is positioned along the migration trajectory and near an oxygen vacancy, stable defect complexes are formed with minimal migration barriers ranging from 0.96 to 1.32 eV. An increased number of Mg atoms can lead to a further reduction in the barrier, although in certain configurations the barriers increase up to 3.0–4.6 eV. When doping occurs outside the migration path, the energy profile remains symmetric and moderate (0.9–1.1 eV), indicating only a weak background influence. These findings highlight the critical role of coordinated distribution of Mg atoms and oxygen vacancies along the migration pathway in forming efficient ion-conducting channels. This insight offers potential for designing high-performance zirconia-based electrolytes for solid oxide fuel cells and sensor applications. Full article
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