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Year 2025
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Polymer-Enhanced Active Layer Crystallization in Low-Temperature Carbon-Based Perovskite Solar Cells
PublicationHigh-efficiency perovskite solar cells (PSCs) are emerging as a promising next-generation, low-cost, photovoltaic technology. A key advantage of PSCs is their compatibility with diverse manufacturing techniques, enabling the pursuit of low-cost, stable PSCs. Carbon electrodes, known for their scalability, chemical inertness, and ease of processing through screen printing, have recently seen the development of low-temperature carbon...
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Quasilinear elliptic problem in anisotropic Orlicz–Sobolev space on unbounded domain
PublicationWe study a quasilinear elliptic problem $-\text{div} (\nabla \Phi(\nabla u))+V(x)N'(u)=f(u)$ with anisotropic convex function $\Phi$ on the whole $\R^n$. To prove existence of a nontrivial weak solution we use the mountain pass theorem for a functional defined on anisotropic Orlicz-Sobolev space $\WLPhispace(\R^n)$. As the domain is unbounded we need to use Lions type lemma formulated for Young functions. Our assumptions broaden...
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Rapid methods for microorganism quantification in human milk: Possibilities and evaluation
PublicationThis study evaluates the potential of rapid microbiological methods, traditionally used for food and environmental samples, to assess human milk (HM) quality in Human Milk Banks. Several methods, including a bioluminescence, the Micro Biological Survey (MBS) colorimetric method, triphenyltetrazolium chloride (TTC) reductase test, and flow cytometry (BacSomatic™️), were compared to the PN-EN ISO 4833–1:2013-12 reference method....
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Resonant and nonresonant excitation of waves in a planar magnetosonic flow
PublicationForced propagation of perturbations in a magnetosonic wave are considered. The driving force may be caused by stimulated Mandelstam–Brillouin scattering of optic waves or by intense magnetosonic exciter. Some heating-cooling function which takes into account radiative cooling and unspecified heating is taken into consideration, as well as nonlinearity of a medium. Both these factors make the excitation particular. The analytical...
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Restrained differential of a graph
PublicationGiven a graph $G=(V(G), E(G))$ and a vertex $v\in V(G)$, the {open neighbourhood} of $v$ is defined to be $N(v)=\{u\in V(G) :\, uv\in E(G)\}$. The {external neighbourhood} of a set $S\subseteq V(G)$ is defined as $S_e=\left(\cup_{v\in S}N(v)\right)\setminus S$, while the \emph{restrained external neighbourhood} of $S$ is defined as $S_r=\{v\in S_e : N(v)\cap S_e\neq \varnothing\}$. The restrained differential of a graph $G$ is...
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Robust Laser‐Induced Graphene‐Boron‐Doped Diamond Nanowall Hybrid Nanostructures with Enhanced Field Electron Emission Performance for Microplasma Illumination Devices
PublicationThis investigation introduces a scalable fabrication method for laser-induced graphene (LIG)-boron-doped diamond nanowall (BDNW) hybrid nanostructures, designed for field electron emission (FEE) cathode materials in microplasma illumination (μPI) devices. The two-step process involves fabricating BDNWs via microwave plasma-enhanced chemical vapor deposition, followed by drop-casting BDNW dispersion onto polyimide foils to create...
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Rovibrational quenching calculations of C2− in collision with H2
PublicationThe molecular anion C2− has been of interest in the past few years as a candidate for laser cooling due to its electronic structure and favorable branching ratios to the ground electronic and vibrational states. Molecular hydrogen has been used by the Wester group at Innsbruck as a buffer gas to cool the molecule’s internal rovibrational motion. In the present work we generate a five-dimensional (5D) interaction potential for the...
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Self-testing tilted strategies for maximal loophole-free nonlocality
PublicationThe degree of experimentally attainable nonlocality, as gauged by the loophole-free or effective violation of Bell inequalities, remains severely limited due to inefficient detectors. We address an experimentally motivated question: Which quantum strategies attain the maximal loophole-free nonlocality in the presence of inefficient detectors? For any Bell inequality and any specification of detection efficiencies, the optimal strategies...
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Self-testing tilted strategies for maximal loophole-free nonlocality
PublicationThe degree of experimentally attainable nonlocality, as gauged by the loophole-free or effective violation of Bell inequalities, remains severely limited due to inefficient detectors. We address an experimentally motivated question: Which quantum strategies attain the maximal loophole-free nonlocality in the presence of inefficient detectors? For any Bell inequality and any specification of detection efficiencies, the optimal strategies...
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Silver and Silver/Sodium Bisphosphonate Salts: Rare Examples of Molecular Solid Solutions and Their Biological Activity as Dual-Action Compounds
PublicationBisphosphonates (BPs) are an important treatment for osteoporosis and bone metastases due to their low toxicity, high thermostability, and the ability to inhibit bone resorption. Notably, BPs like alendronate, which contain a primary amine group, exhibit potent antiresorptive and antiangiogenic properties. Recent studies have focused on enhancing the BP properties by incorporating bioactive metals to increase their therapeutic...
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Solvent Selection as a Key Factor in the Performance of Semitransparent Heterojunctions Composed of Hydrogenated Nanotubes and Bismuth Sulfides
PublicationResearch on titanium nanotubes modified with metal sulfides, particularly bismuth sulfide (Bi2S3), aims to create heterostructures that efficiently absorb sunlight and then separate photogenerated charge carriers, thereby enhancing the energy conversion efficiency. This study shows a key role of solvent used for sulfide and bismuth salt solutions used during successive ionic layer adsorption and reaction (SILAR) onto the morphology,...
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Stimuli-responsive delivery systems using carbohydrate polymers: A review
PublicationCarbohydrate polymers, including Chitosan, Cellulose, Starch, Dextran, Pectin, Alginate, and Hyaluronic Acid, have been considered as stimuli-responsive biopolymers demonstrating significant potential for drug delivery approaches. Relying on the specific design and fabrication, such biopolymers are able to respond to fluctuations in pH, temperature, or enzymatic activity. This review investigates stimuli-responsive biopolymers,...
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Superconductivity in Ternary Mg4Pd7As6
PublicationThe synthesis and characterization of a new compound Mg4Pd7As6, which is found to be a superconductor with Tc = 5.45 K is reported. Powder X-ray diffraction confirms the U4Re7Si6 structure (space group Im-3m, no. 229) with the lattice parameter a = 8.2572(1) Å. Magnetization, specific heat, and electrical resistivity measurements indicate that it is a moderate-coupling ( = 0.72) type-II superconductor. The electronic and phonon...
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Tailoring oxide nanoparticle exsolution in La0.5Ba0.5-yCo1-xFexO3-δ
PublicationWe show that oxide nanoparticles (NPs) exsolve on La0.5Ba0.5-yCo1-xFexO3-δ (x = 0-1, y = 0 or 0.01) in oxidizing conditions. The phenomenon occurs only in Co-containing materials and depends on pO2 and pH2O pressures. Under dry conditions, the smallest NPs average about 30 nm, with 200-300 NPs/µm2 at pO2=5×10-5 atm. For pO2=1 atm, NP size increases to 100-200 nm, and population drops to a few to about 20 NPs/µm2 depending on A-site...
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The Adsorption of Ru-Based Dyes on the TiO2 Surface to Enhance the Photovoltaic Efficiency of Dye-Sensitized Solar Cell Devices
PublicationAdsorption of mononuclear tris(bipyridine) ruthenium(II) complexes and binuclear tris(bipyridine) ruthenium(II) complexes equipped with carboxyl groups (-COOH) on the (111) surface of TiO2 crystal in anatase form was modeled using Monte Carlo simulations, applying the Universal force field. It was shown that the adsorption efficiency of the ruthenium-based dyes on the TiO2 surface depends on the position of the anchoring -COOH...
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The influence of chitosan's molecular weight, concentration, and dissolution method on the properties of electrophoretically deposited coatings on the Ti13Nb13Zr alloy surface
PublicationIn this study, the effects of molecular weight (high, medium, and low), concentration (0.1 and 0.5 %) and dissolution method (in a rarely used hydroxyacetic acid and utilizing a novel CO2 saturation) of chitosan on the microstructure, chemical composition, wettability, surface roughness, adhesion, corrosion resistance and antibacterial activity of chitosan coatings electrophoretically deposited (10 V, 1 min) on β titanium alloy...
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Theoretical design of nanocatalysts based on (Fe2O3)n clusters for hydrogen production from ammonia
PublicationThe catalytic activities of high-spin small Fe(III) oxides have been investigated for efficient hydrogen production through ammonia decomposition, using the artificial force induced reaction method within the framework of density functional theory with the B3LYP hybrid exchange–correlation functional. Our results reveal that the adsorption free energy of NH3 on (Fe2O3 )n (n = 1–4) decreases with increasing cluster size up to n...
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Thermoelectric and electrical properties of triple-conducting multicomponent oxides based on substituted barium cerate-zirconate
PublicationMulticomponent oxides often have exceptional thermal stability and interesting electronic properties. The present work presents the thermoelectric and electrical properties of the Ba(Zr0.2Hf0.2Sn0.2Ti0.2Fe0.2)O3−δ and Ba(Zr0.1Hf0.1Sn0.1Ti0.1Co0.1Ce0.1Bi0.1Fe0.1Y0.1Zn0.1)O3−δ multicomponent perovskites. Single-phase cubic perovskites were synthesized using the solid-state reaction method. They were characterized using X-ray...
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Thermoelectric and electrical transport properties of mixed-conducting multicomponent oxides based on Ba(Zr,Ce)O3-δ
PublicationIn this work, the chosen physicochemical properties of single-phase multicomponent oxides BaTi1/8Fe1/8Co1/8Y1/8Zr1/8Sn1/8Ce1/8Hf1/8O3-δ and BaTi1/9Fe1/9Co1/9Y1/9Zr1/9Sn1/9Ce1/9 Hf1/9Bi1/9O3-δ were studied. The microstructure of the compounds strongly depended on the presence of bismuth in the structure. The electrical transport studies showed a level of electrical conductivity of ∼10−3 - 10−2 S/cm in the temperature range 673–1073...
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Three-Space as a Quantum Hyperlayer in 1+3 Dimensions: A Case Study in Quantum Space and Time
PublicationWe discuss a formalism where a universe is identified with the support of a wave function propagating through space–time. The dynamics are of a squeezing type, with shrinking in time and expanding in space. As opposed to classical cosmology, the resulting universe is not a spacelike section of some space–time but a hyperlayer of a finite timelike width, a set which is not a three-dimensional submanifold of space–time. The universe...
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Transforming organic waste: Cabbage-derived carbon containing copper for electrochemical sensing of ascorbic acid
PublicationThis study presents a sustainable approach for transforming food waste into functional electrochemical materials by utilizing copper-enriched cabbage leaves as a precursor for carbon-based sensors. Chinese cabbage was soaked in aqueous solutions of Cu(NO₃)₂, CuSO₄, and Cu(CH₃COO)₂, followed by pyrolysis, which resulted in carbona- ceous materials with distinct structural and electrochemical characteristics. Raman spectroscopy and...
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Tuning charge transport in polydopamine tetramers via oxidation state and orientation in supramolecular junctions with gold contacts: An ab initio DFT study
PublicationThis work presents a comprehensive computational investigation of gold-polydopamine supramolecular junctions and their electronic properties using density functional theory (DFT) and non-equilibrium Green's functions (NEGF) methodology. Non-covalent interactions between gold and PDA models are described in the slab configuration, and the molecular junction. By modulating the oxidation state, molecular structure, and surface arrangements...
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Unlocking the electrochemical performance of glassy carbon electrodes by surface engineered, sustainable chitosan membranes
PublicationChitosan coatings, derived from crustacean shell waste, possess inherent biocompatibility and biodegradability, rendering them suitable for various biomedical and environmental applications, including electrochemical biosensing. Its amine and hydroxyl functional groups offer abundant sites for chemical modifications to boost the charge transfer kinetics and provide excellent adhesion, enabling the construction of robust electrode-coating...
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Use of single-body potentials to accurately describe virtual positronium formation in positron collisions
PublicationWe present a single-body adiabatic potential to investigate the role of virtual positronium (Ps) formation in positron scattering with atoms at energies below the Ps formation threshold. Our model is applied to positron scattering by hydrogen and noble-gas atoms. The potential is decomposed into two components: the correlation- polarization (CP) potential, derived from perturbation theory for the positron-hydrogen system and generalized...
Year 2024
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A modified DC Hebb–Wagner polarization method for determining the partial protonic electrical conductivity in mixed-conducting BaGd0.3La0.7Co2O6−δ
PublicationIn this work, partial protonic conductivity in mixed conducting (BZCY721) and BaGd0.3La0.7Co2O6−d (BGLC137) was studied. For this purpose, a modified DC Hebb–Wagner polarization method was used. A four-wire type of galvanic cell as well as a suitable calculation model was applied. The method was validated using proton conducting electrolyte – BaZr0.7Ce0.2Y0.1O3−d – as a reference material. For the first time, protonic partial conductivity...
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A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional
PublicationIn this paper we show how to construct Morse homology for an explicit class of functionals involving the 2p-area functional. The natural domain of definition of such functionals is the Banach space W_0^{1,2p}(\Omega), where p > n/2 and \Omega \subet R^n is a bounded domain with sufficiently smooth boundary. As W_0^{1,2p}(\Omega) is not isomorphic to its dual space,critical points of such functionals cannot be non-degenerate...
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A semiempirical model for low energy electron–atom transport cross sections: The case of noble gases
PublicationA semiempirical approach to describe low energy electron–atom transport cross sections of easy implementation and reproduction is presented. The heart of the model is an energy independent two-parameter potential that was adjusted to reproduce the accurate total cross sections for He, Ne, Ar and Kr, measured with a threshold photoelectron source technique from meV up to 20 eV. Once the potential was conceived, the model was validated...
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Additive manufacturing of Proton-Conducting Ceramics by robocasting with integrated laser postprocessing
PublicationA hybrid system combining robocasting and NIR laser postprocessing has been designed to fabricate layers of mixed proton-electron conducting Ba0.5La0.5Co1-xFexO3-δ ceramic. The proposed manufacturing technique allows for the control of the geometry and microstructure and shortens the fabrication time to a range of a few minutes. Using 5 W laser power and a scanning speed of 500 mm⋅s− 1, sintering of a round-shaped layer with an...
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Algebraic periods and minimal number of periodic points for smooth self-maps of 1-connected 4-manifolds with definite intersection forms
PublicationLet M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r-periodic points in the smooth homotopy class of a given map f: M-->M. This task is related to determining a topological invariant D^4_r[f], defined in Graff and Jezierski (Forum Math 21(3):491–509, 2009), expressed in terms of Lefschetz numbers of iterations and local fixed point indices of...
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All but one expanding Lorenz maps with slope greater than or equal to $\sqrt 2$ are leo
PublicationWe prove that with only one exception, all expanding Lorenz maps $f\colon[0,1]\to[0,1]$ with the derivative $f'(x)\ge\sqrt{2}$ (apart from a finite set of points) are locally eventually onto. Namely, for each such $f$ and each nonempty open interval $J\subset(0,1)$ there is $n\in\N$ such that $[0,1)\subset f^n(J)$. The mentioned exception is the map $f_0(x)=\sqrt{2}x+(2-\sqrt{2})/2 \pmod 1$. Recall that $f$ is an expanding Lorenz...
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An absorbing set for the Chialvo map
PublicationThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...
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Analysis of dynamics of a map-based neuron model via Lorenz maps
PublicationModeling nerve cells can facilitate formulating hypotheses about their real behavior and improve understanding of their functioning. In this paper, we study a discrete neuron model introduced by Courbage et al. [Chaos 17, 043109 (2007)], where the originally piecewise linear function defining voltage dynamics is replaced by a cubic polynomial, with an additional parameter responsible for varying the slope. Showing that on a large...
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Anisotropic magnetism of polymorphic ErAl3
PublicationErAl3 can form in either a trigonal () or cubic () polymorph and this paper investigates the physical properties of these polymorphs through characterizations of single crystals grown in an aluminum flux. We demonstrate that polymorph selection can be achieved based on the nominal composition of the crystal growth. Magnetic measurements confirm that both −ErAl3 and −ErAl3 order antiferromagnetically at low temperatures. −ErAl3...
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Anisotropic, multiband, and strong-coupling superconductivity of the Pb0.64Bi0.36 alloy
PublicationThis paper presents theoretical and experimental studies on the superconductivity of Pb0.64Bi0.36 alloy, which is a prototype of strongly coupled superconductors and exhibits one of the strongest coupling under ambient pressure among the materials studied so far. The critical temperature, the specific heat in the superconducting state, and the magnetic critical fields are experimentally determined. Deviations from the single-gap...
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Assessment of High-Temperature Oxidation Properties of 316L Stainless Steel Powder and Sintered Porous Supports for Potential Solid Oxide Cells Applications
PublicationIn this work, oxidation properties of austenitic 316L stainless steel powder and sintered porous support were investigated at the temperature range of ~600-750 °C for 100 hours in ambient air. Oxidation kinetics was determined by continuous thermogravimetry and analyzed employing parabolic rate law. It was observed that oxidation leads to the formation of an oxide scale, with substantial oxidation occurring at ≥ 650 °C in the powder....
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Assessment of the application of selected metal-organic frameworks as advanced sorbents in passive extraction used in the monitoring of contaminants of emerging concern in surface waters
PublicationWater pollution has become a critical global concern requiring effective monitoring techniques and robust protection strategies. Contaminants of emerging concern (CECs) are increasingly detected in various water sources, with their harmful effects on humans and ecosystems continually evolving. Based on literature reports highlighting the promising sorption properties of metal-organic frameworks (MOFs), the aim of this study was...
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BASECOL2023 scientific content
PublicationContext. The global context of making numerous data produced by researchers available requires collecting and organising the data, assigning meaningful metadata, and presenting the data in a meaningful and homogeneous way. The BASECOL database, which collects inelastic rate coefficients for application to the interstellar medium and to circumstellar and cometary atmospheres, meets those requirements. Aims. We aim to present the...
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Calculation of electron scattering lengths on Ar, Kr, Xe, Rn and Og atoms
PublicationFocusing on the noble gases, we calculate the scattering potential using the Dirac-Coulomb Hamiltonian supplemented with a model polarization potential. We determine the scattering lengths using two methods, namely phase shifts for very small scattering energies and the shape of the wave function for zero scattering energy. We compare our theoretical electron scattering length results on Ar, Kr and Xe atoms with existing experimental...
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Changes in evaporation patterns and their impact on Climatic Water Balance and river discharges in central Poland, 1961–2020
PublicationThis study investigates the changes in precipitation and evaporation patterns and their impact on Climatic Water Balance and river discharges in central Poland from 1961 to 2020. The analysis focuses on two “normal” periods, 1961–1990 and 1991–2020 (according to the World Meteorological Organization). Bartlett’s test and the Kruskal–Wallis rank sum test were used to assess the homogeneity of variances and compare distributions...
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Characterization of Corrosion-Induced Fracture in Reinforced Concrete Beams Using Electrical Potential, Ultrasound and Low-Frequency Vibration
PublicationThe paper deals with the non-destructive experimental testing of the reinforced concrete beams under progressive corrosion. A series of experiments using electrical potential, ultrasound and low-frequency vibrations techniques are reported. Electrical potential and natural frequencies were used to characterise and monitor the corrosion process at its initial state. The P-wave velocity measurements were proved to be effective in...
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Charge density wave, enhanced mobility, and large nonsaturating magnetoresistance across the magnetic states of HoNiC2 and ErNiC2
PublicationWe report on magnetotransport and thermoelectric properties of two ternary carbides HoNiC2 and ErNiC2 hosting both charge density wave and long-range magnetic order. In the charge density wave state, both compounds show relatively large magnetoresistance MR ≈ 150% in HoNiC2 and ≈ 70%in ErNiC2 at a magnetic field of 9 T and temperature as low as 2 K. This positive field-linear magnetoresistance shows no signatures of saturation....
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Charge Transport in the A6B2O17 (A = Zr, Hf; B = Nb, Ta) Superstructure Series
PublicationThe electrical properties of the entropy stabilized oxides: Zr6Nb2O17, Zr6Ta2O17, Hf6Nb2O17 and Hf6Ta2O17 were characterized. The results and the electrical properties of the products (i.e. ZrO2, HfO2, Nb2O5 and Ta2O5) led us to hypothesize the A6B2O17 family is a series of mixed ionic-electronic conductors. Conductivity measurements in varying oxygen partial pressure were performed on A6Nb2O17 and A6Ta2O17. The results indicate...
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Cluster-spin-glass behavior in new ternary RE2PtGe3 compounds (RE = Tb, Dy, Ho)
PublicationTwo new ternary germanides Tb2Pt1.2Ge2.8, Dy2Pt1.15Ge2.85 and one already known germanium Ho2Pt1.1Ge2.9.were synthesized using an arc melting technique. The obtained samples were investigated by powder X-ray diffraction, which indicated that all of them crystallized in a hexagonal structure with P6/mmm (no. 191) space group. This structure is a disordered variant of the AlB2 aristotype that favors the formation of a spin-glass-like...
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Co wydarzyło się podczas I Interdyscyplinarnego Forum Kół Naukowych PTFM?
PublicationArtykuł stanowi podsumowanie wydarzenia I Interdyscyplinarnego Forum Kół Naukowych PTFM, które odbyło się 22-24.11.2024 z udziałem kół naukowych z fizyki medycznej i inżynierii biomedycznej. Podczas forum studenci zaprezentowali wyniki badań prowadzonych w różnych ośrodkach medycznych i instytutach naukowych zajmujących się fizyką medyczną oraz wykorzystujących nowoczesne technologie w medycynie. Odbyła się również prezentacja...
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Completely entangled subspaces of entanglement depth k
PublicationWe introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth k (k-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least k. We present an efficient construction of k-CESs of any achievable dimensionality in any multipartite scenario. Further, we discuss the relation between these subspaces and unextendible product bases (UPBs)....
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Consistency of Quantum Computation and the Equivalence Principle.
PublicationThe equivalence principle, being one of the building blocks of general relativity, seems to be crucial for analysis of quantum effects in gravity. In this paper we consider the relation between the equivalence principle and the consistency of quantum information processing in gravitational field. We propose an analysis with a looped evolution consisting of steps both in the gravitational field and in the accelerated reference frame....
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Controlled engineering of Bi4O5Br2 and BiOBr via interactions imidazolium ionic liquids and medium during synthesis as a simple method for enhancement of photocatalytic activity
PublicationIonic liquid-mediated synthesis of Bi4O5Br2 and BiOBr was carried out in non-polar solvents (glycerol, ethylene glycol) and a polar solvent (0.1 M mannitol). The effect of elongation of alkyl side chains (C4mim+, C8mim+, and C16mim+) of imidazolium ionic liquids, which act as a source of bromide and template, on the morphological, optical, and photocatalytic properties of materials was investigated. The crystallite size, morphology,...
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Controlling the europium oxidation state in diopside through flux concentration
PublicationThis paper explores the connection between the H3BO3 flux concentration and the co-existence of Eu2+ and Eu3+ dopants within CaMgSi2O6 crystals (diopside). The samples were synthesised using a solid-state synthesis method under varying atmospheric conditions, including oxidative (air), neutral (N2), and reductive (H2/N2 mixture) environments. Additionally, some materials underwent chemical modification by partially substituting...
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Correlations of structural, thermal and electrical properties of sodium doped complex borophosphosilicate glass
PublicationBorophosphosilicate glasses with varying sodium ion concentrations were investigated for their, structural, thermal, and electrical properties. All the obtained glasses were transparent except the glass with the highest sodium content, which exhibited translucency due to inhomogeneities. Increasing sodium content led to reduced boron and silicon content while maintaining a constant B/Si ratio, indicating progressive depolymerization...
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Corrosion Inhibition of AZ31-xLi (x = 4, 8, 12) magnesium alloys in sodium chloride solutions by aqueous molybdate
PublicationCorrosion of lithium-containing AZ31 magnesium alloys AZ31-xLi (x = 4, 8, and 12 wt%) has been examined in 0.05 M NaCl solution with and without 10–150 mM of Na2MoO4 inhibitor. Potentiodynamic polarization, electrochemical impedance spectroscopy (EIS), and dynamic electrochemical impedance spectroscopy (DEIS) measurements were used to correlate the phase composition and microstructure of the alloys with their corrosion propensity...