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Structural Materials (Dezhou program 4+0)
e-Learning Courses -
Occupational Health and Safety Ergonomics - L-15/C-0/L-0/P-0, ENERGY TECHNOLOGIES, se 01, (PG_00041987), winter semester, 2024/2025
e-Learning CoursesDefinitions of ergonomics, its subject, purpose and application. Description of the human-machine system environment. The concept of sustainable development. Environmental management systems. Human model and its characteristics. Human possibilities and industrial processes. Human work environment - material conditions. Principles of human work environment design. Safety and reliability of the human - machine - environment system....
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Occupational Health and Safety Ergonomics - L-15/C-0/L-0/P-0, ENERGY TECHNOLOGIES, se 01, (PG_00041987), winter semester, 2023/2024
e-Learning CoursesDefinitions of ergonomics, its subject, purpose and application. Description of the human-machine system environment. The concept of sustainable development. Environmental management systems. Human model and its characteristics. Human possibilities and industrial processes. Human work environment - material conditions. Principles of human work environment design. Safety and reliability of the human - machine - environment system....
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Electron-Induced Decomposition of 5-Bromo-4-thiouracil and 5-Bromo-4-thio-2′-deoxyuridine: The Effect of the Deoxyribose Moiety on Dissociative Electron Attachment
PublicationWhen modified uridine derivatives are incorporated into DNA, radical species may form that cause DNA damage. This category of molecules has been proposed as radiosensitizers and is currently being researched. Here, we study electron attachment to 5-bromo-4-thiouracil (BrSU), a uracil derivative, and 5-bromo-4-thio-20 -deoxyuridine (BrSdU), with an attached deoxyribose moiety via the N-glycosidic (N1-C) bond. Quadrupole mass spectrometry...
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Solvothermal growth of {0 0 1} exposed anatase nanosheets and their ability to mineralize organic pollutants. The effect of alcohol type and content on the nucleation and growth of TiO2 nanostructures
PublicationHerein, the series of {0 0 1} exposed anatase nanosheets from HF-assisted solvothermal growth synthesis were obtained. The two-dimensional TiO2 were characterized, including both bulk (XRD, DR-UV–Vis, Mott-Schottky) and surface characteristics (N2 sorption, XPS, SEM) with experimental results compiled with Density Functional Theory (DFT) calculations. The effect of alcohol amount and type was studied, demonstrating the crucial...
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BHP i Ergonomia - W-15/C-0/L-0/P-0, WIMiO, ENERGETYKA, I st., studia stacjonarne, sem. 01, (PG_00041979), 2022/2023 semestr zimowy.
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, MiBM, I st., sem. 01, stacjonarne, (PG_00055370), semestr zimowy 2022/2023
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, IMM, I st., sem. 01, stacjonarne, (PG_00064112), semestr zimowy 2024/2025
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, MiBM, I st., sem. 01, stacjonarne, (PG_00055370), semestr zimowy 2023/2024
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, MiBM, I st., sem. 01, stacjonarne, (PG_00055370), semestr zimowy 2024/2025
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, ENERGETYKA, I st., sem. 01, stacjonarne, (PG_00055867), semestr zimowy 2024/2025
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Bezpieczeństwo pracy i ergonomia - W-15/Ć-0/L-0/P-0, WIMiO, ENERGETYKA, I st., sem. 01, stacjonarne, (PG_00041987), semestr zimowy 2023/2024
e-Learning CoursesDefinicje ergonomii, jej przedmiot, cel i zastosowanie. Opis układu człowiek - maszyna otoczenie. Koncepcja zrównoważonego rozwoju. Systemy zarządzania środowiskowego. Model człowieka oraz jego charakterystyka. Możliwości człowieka a procesy przemysłowe. Środowisko pracy człowieka - warunki materialne. Zasady projektowania środowiska pracy człowieka. Bezpieczeństwo i niezawodność układu człowiek - maszyna - otoczenie. Informacyjność...
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Occupational Health and Safety Ergonomics - L-15/Ć-0/L-0/P-0, FMEST, ENERGY TECHNOLOGIES, I degree, se 01, stationary, (PG_00041987), winter semester 2022/2023
e-Learning CoursesDefinitions of ergonomics, its subject, purpose and application. Description of the human-machine system environment. The concept of sustainable development. Environmental management systems. Human model and its characteristics. Human possibilities and industrial processes. Human work environment - material conditions. Principles of human work environment design. Safety and reliability of the human - machine - environment system....
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Joanna Raczek dr inż.
PeopleEmployment 2003 -- 2019: Faculty of Applied Physics and Mathematics, Gdańsk University of Technology. 2019 - present: Faculty of Electronic, Informatics and Telecominications, Gdańsk University of Technology. Education May 2007: Doctor of Philosophy in Mathematics, University of Gdańsk. Doctoral dissertation: "Paired domination and doubly domination in graphs". Supervisor: dr hab. Jerzy Topp. 2000 -- 2004 Bachelor of Science...
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A New Microwave Ceramic – Polymer Composite with 0-3 Connectivity
PublicationGoal of the present research was to fabricate and study two-phase BiNbO4//PVDF composites with 0-3 connectivity. Such composite consists of there-dimensionally connected polymer matrix loaded with dielectric ceramic particles. In the present case BiNbO4 powder acted as an active phase (dispersed phase) whereas polyvinylidene fluoride (PVDF) acted as a non-active (passive) phase (matrix). BiNbO4//PVDF composites with the volume...
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WETI - 2 deg. - Mathematics 0 2019/2020 (H.Guze)
e-Learning Courses -
The interplay between dopant and a surface structure of the photocatalyst – The case study of Nb-doped faceted TiO2
PublicationAnatase nanoparticles, exposing the majority of the {0 0 1}, {1 0 0} and {1 0 1} facets were synthesized and doped with different niobium amount to investigate the self-trapping of the excess electrons and resulting photocatalytic activity. Photocatalyst structure and presence of excess electrons inside the obtained Nb-doped anatase samples was confirmed by the combination of structural and spectroscopic analyses. Only for the...
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Dielectric Properties of BiNbO<sub>4</sub>-Based Ceramic-Polymer Composites with 0-3 Connectivity
PublicationIn the present study two-phase BiNbO4//PVDF composites with 0-3 connectivity were studied by impedance spectroscopy within the frequency range Δν=100Hz-1MHz at room temperature. Polyvinylidene fluoride (PVDF) acted as a matrix whereas bismuth niobate (BiNbO4) powder acted as a dispersed phase. The volume fraction of the ceramic phase was cV=2, 4, 6, 8, 10, 16 and 20vol%. Analysis of the impedance data registered for composites...
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Optimization of Hydrogen Utilization and Process Efficiency in the Direct Reduction of Iron Oxide Pellets: A Comprehensive Analysis of Processing Parameters and Pellet Composition
PublicationThe article deals with the H2 consumption for different processing conditions and the composition of the processed pellets during the direct reduction process. The experiments are carried out at 600–1300 °C, with gas pressures of 1–5 bar, gas flow rates of 1–5 L min−1, and basicity indices of 0 to 2.15. Pellets with different compositions of TiO2, Al2O3, CaO, and SiO2 are analyzed. The gas flow rate is crucial, with 0–10 L min−1...
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Crystal facet effects in photocatalytic degradation of organic pollutants over anatase TiO2
PublicationPresented work show detailed effect of the exposed crystal facets of anatase TiO2 on the photocatalytic degradation of organic pollutants. The most important existing information about the geometry and electronic properties of the low index anatase facets are summarised. During the performed works, anatase nanoparticles with the dominant exposition of either {0 0 1}, {1 0 0} or {1 0 1} crystal facets were prepared and their photocatalytic...
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Nonlinear Properties of Seawater as a Factor Determining Nonlinear Wave Propagation
PublicationTaking practical advantage of nonlinear acoustical interactions occurring in seawater [1, 2] requires knowledge of the parameter of nonlinearity B=A of this medium. The literature does not offer much reports on B=A parameter value for seawater. In the few papers concerning that address the issue, results concerning ocean waters with high salinity and at large depths are given [3], while studies concerning seawater with low salinity...
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Dissociative Electron Attachment to 5-Iodo-4-thio-2′-deoxyuridine: A Potential Radiosensitizer of Hypoxic Cells
PublicationIn the search for effective radiosensitizers for tumor cells, halogenated uracils have attracted more attention due to their large cross section for dissociation upon the attachment of low-energy electrons. In this study, we investigated dissociative electron attachment (DEA) to 5-iodo-4-thio-2'-deoxyuridine, a potential radiosensitizer using a crossed electron-molecule beam experiment coupled with quadrupole mass spectrometry....
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Fe3–xInSnxO6 (x = 0, 0.25, or 0.5): A Family of Corundum Derivatives with Sn-Induced Polarization and Above Room Temperature Antiferromagnetic Ordering
PublicationThree new double corundum derivative compounds, Fe3−xInSnxO6 (x = 0. 0.25, or 0.5), were synthesized at high pressure and temperature (6 GPa and 1400− 1450 °C). All of the compounds order antiferromagnetically well above room temperature (TN = 608, 532, and 432 K for x = 0, 0.25, and 0.5, respectively). The x = 0 phase crystallizes as centrosymmetric R3̅c, but the inclusion of closed-shell d10 Sn4+ induces x = 0.25 and 0.5 to crystallize...
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Work Safety and Ergonomics - L-15/C-0/L-0/P-0, Design and Production Engineering, WIMiO, undergraduate studies, engineering studies, full-time (stationary) studies, 2021/2022, se04, (M:32013W0), summer semester 2023/2024
e-Learning CoursesWydział Mechaniczny Mechanika i budowa maszyn (w języku angielskim). Kurs: Specjalność: Design and Production Engineering (WM), I stopnia - inżynierskie, stacjonarne, 2018/2019 - zimowy (obecnie sem. 4), Semestr: 2019/2020 - letni. Student explains the concepts of ergonomics. Describes its goals and area of application. Defines the human - machine - environment system. Designs the human working environment taking into account...
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Fine-Tuning the Photocatalytic Activity of the Anatase {1 0 1} Facet through Dopant-Controlled Reduction of the Spontaneously Present Donor State Density
PublicationThe present study highlights the importance of the net density of charge carriers at the ground state on photocatalytic activity of the faceted particles, which can be seen as a highly underexplored problem. To investigate it in detail, we have systematically doped {1 0 1} enclosed anatase nanoparticles with Gd3+ ions to manipulate the charge carrier concentration. Furthermore, control experiments using an analogical Nb5+ doped...
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Microcracking monitoring and damage detection of graphene nanoplatelets-cement composites based on acoustic emission technology
PublicationThis study aims to identify the micro-cracking pattern and structural applications of cement composites replaced with 0 wt%, 0.04 wt%, and 0.08 wt% contents of graphene nanoplatelets (GNPs) over cement weight through acoustic emission (AE) monitoring under mechanical degradation. The ultraviolet-visible spectroscopy (UV–vis) results showed that at 60 min sonication period, GNP-4 showed maximum absorbance rate of 16.15% compared...
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Crystal Facet Engineering of TiO2 from Theory to Application
PublicationRecently, the surface structure effect on photocatalytic activity has gathered increasing attention due to its reported influence on the charge carrier trapping and separation. Detailed control over the surface structure can be achieved by exposing the specific crystal facets. As a result, the photogenerated electrons and holes can be effectively separated between the different facets of semiconductor crystals. TiO2 is the most...
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'23/'24 Biotechnologia ogólna (dla kierunku Chemia i BT"0")
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Composition and antimicrobial activity of fatty acids detected in the hygroscopic secretion collected from the secretory setae of larvae of the biting midge Forcipomyia nigra (Diptera: Ceratopogonidae)
PublicationThe hygroscopic secretion produced by the secretory setae of terrestrial larvae of the biting midge Forcipomyia nigra (Winnertz) was analysed using gas chromatography coupled with mass spectrometry (GC-MS). The viscous secretion is stored at the top of each seta and absorbs water from moist air. GC-MS analyses (four independent tests) showed that the secretion contained 12 free fatty acids, the most abundant of which were oleic...
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Teoria ruchu pojazdów - W-30/Ć-15/L-0/P-0, WIMiO, PMRiUN, I st., sem. 05, stacjonarne, (M:31576W0), semestr zimowy 2022/2023
e-Learning CoursesPrzenoszenie napędu przez koło ogumione: toczenie z poślizgiem, toczenie przy dużej odkształcalności ogumienia, normalne i styczne reakcje nawierzchni, przyczepność, straty energetyczne, siły w obszarze styku opony z jezdnią. Opory ruchu: powietrza, wzniesienia, bezwładności i holowania. Siły i momenty sił działające na pojazd w ruchu prostoliniowym. Graniczne wartości sił reakcji podłoża. Różne układy napędowe - porównanie właściwości....
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Teoria ruchu pojazdów - W-30/Ć-15/L-0/P-0, WIMiO, PMRiUN, I st., sem. 05, stacjonarne, (M:31576W0), semestr zimowy 2023/2024
e-Learning CoursesPrzenoszenie napędu przez koło ogumione: toczenie z poślizgiem, toczenie przy dużej odkształcalności ogumienia, normalne i styczne reakcje nawierzchni, przyczepność, straty energetyczne, siły w obszarze styku opony z jezdnią. Opory ruchu: powietrza, wzniesienia, bezwładności i holowania. Siły i momenty sił działające na pojazd w ruchu prostoliniowym. Graniczne wartości sił reakcji podłoża. Różne układy napędowe - porównanie właściwości....
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Agnieszka Jachowicz WETI, II st, ENGLISH 0/1 sem, 22/23z
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Agnieszka Jachowicz WETI, II st, ENGLISH 0/1 sem, 22/23L
e-Learning Courses -
Agnieszka Jachowicz WETI, II st, ENGLISH 0/1 sem, 23/24z
e-Learning Courses -
OCENA WYNIKÓW SCZEPNOŚCI MIĘDZYWARSTWOWEJ DWUWARSTWOWO WBUDOWANEJ PODBUDOWY ASFALTOWEJ NA KONTRAKCIE „BUDOWA OBWODNICY MIĘDZYRZECZA W CIĄGU DROGI EKSPRESOWEJ S3 – KM 0+000 – KM 6+370"
PublicationCelem pracy jest analiza i ocena jakości połączenia dwóch warstw technologicznych podbudowy z betonu asfaltowego AC 22 P 35/50, wbudowanej w ramach realizacji kontraktu „Budowa obwodnicy Międzyrzecza w ciągu drogi ekspresowej S3 km 0+000 – km 6+370.
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Podstawy modelowania układów napędowych - W-15/Ć-0/L-30/P-0, WIMiO, PMRiUN, I st., sem. 05, stacjonarne, (M:31575W0), semestr zimowy 2022/2023
e-Learning CoursesZastosowanie technik komputerowych w modelowaniu pneumatycznych i hydraulicznych układów napędowych. Modelowanie przepływu w szczelinach. Modelowanie zużycia paliwa silnika spalinowego o zapłonie iskrowym. Modelowanie momentu napędowego silnika spalinowego. Przeprowadzenie symulacji pracy układu napędowego pojazdu z silnikiem spalinowym w zadanych warunkach eksploatacji. Budowa sprzęgła ciernego, suchego pojazdu samochodowego....
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Podstawy modelowania układów napędowych - W-15/Ć-0/L-0/P-30, WIMiO, PMRiUN, I st., sem. 05, stacjonarne, (M:31575W0), semestr zimowy 2023/2024
e-Learning CoursesZastosowanie technik komputerowych w modelowaniu pneumatycznych i hydraulicznych układów napędowych. Modelowanie przepływu w szczelinach. Modelowanie zużycia paliwa silnika spalinowego o zapłonie iskrowym. Modelowanie momentu napędowego silnika spalinowego. Przeprowadzenie symulacji pracy układu napędowego pojazdu z silnikiem spalinowym w zadanych warunkach eksploatacji. Budowa sprzęgła ciernego, suchego pojazdu samochodowego....
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Preparation and characterisation of iron substituted Mn1.7Cu1.3-xFexO4 spinel oxides (x = 0, 0.1, 0.3, 0.5)
PublicationSpinel oxides with the general formula Mn1.7Cu1.3-xFexO4 (x= 0, 0.1, 0.3, 0.5) were prepared and evaluated in this work for their properties at high temperatures. The effect of partially substituting Cu by Fe has not been studied so far for this group of materials and is thus evaluated in this work. Mn1.7Cu1.3-xFexO4 powders were synthesised by a soft chemistry process and studied in terms of crystallographic phase analysis, electrical...
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Surface and Trapping Energies as Predictors for the Photocatalytic Degradation of Aromatic Organic Pollutants
PublicationIn this study, anatase samples enclosed by the majority of three different crystal facets {0 0 1}, {1 0 0}, and {1 0 1} were successfully synthesized. These materials were further studied toward photocatalytic degradation of phenol and toluene as model organic pollutants in water and gas phases. The obtained results were analyzed concerning their surface structure, reaction type, and surface development. Moreover, the regression...
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ERGONOMIA I BEZPIECZEŃSTWO PRACY W TRANSPORCIE - L-15/C-15/L-0/P-0, Transport, WILIŚ, I stopnia - inżynierskie, stacjonarne, sem06, (PG_00044635), semestr letni 2023/2024, LATO
e-Learning CoursesKurs: Kierunek: Transport (WILiŚ), I stopnia - inżynierskie, stacjonarne, 2017/2018 - zimowy (obecnie sem. 6), Semestr: 2019/2020 - letni, Student wyjaśnia pojęcia ergonomii. Opisuje jej cele i obszar zastosowań. Definiuje układ człowiek - maszyna - otoczenie. Projektuje środowisko pracy człowieka biorąc pod uwagę zasady projektowania. Stosuje różne modele człowieka. Prezentuje bezpieczeństwo i niezawodność układu człowiek - maszyna...
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Non-toxic fluorine-doped TiO2 nanocrystals from TiOF2 for facet-dependent naproxen degradation
PublicationIn the present study, the photocatalytic degradation of naproxen (NPX), which is a nonsteroidal anti-inflammatory drug (NSAID), frequently detected in drinking water, was investigated. The F-doped TiO2 with defined morphology was successfully obtained from TiOF2 and applied for photocatalytic degradation under UV-vis and visible light. All samples were characterised by X-ray diffraction, scanning electron microscopy, X-ray photoelectron...
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DEGRADATION OF GFRP MARINE LAMINATES WITH NANO PARTICLE MODIFIED COATINGS
PublicationWater absorption and surface blistering behaviour was studied for polyester-matrix laminates with SiO2 nanoparticle reinforced gel coats. Accelerated water immersion tests at 37°C showed that addition of 10% nanoparticles increases blisters incubation time by ca. 50% compared to 5% and 0% nanoparticles composites.
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Adam Świeżyński dr hab.
Peoplehttps://sites.google.com/view/adamswiezynski/strona-g%C5%82%C3%B3wna-main-page/kariera-zawodowa-career?authuser=0
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THREE-DIMENSIONAL numerical investigation of MHD nanofluid convective heat transfer inside a CUBIC porous container with corrugated bottom wall
PublicationSimultaneous use of porous media and nanofluid as a heat transfer improvement method has recently captivated a great deal of attention. The heat transfer and entropy production of the Cu-water nanofluid inside a cubic container with a heated bottom wavy wall and an elliptic inner cylinder were numerically analyzed in this study. The container is partitioned into two sections: the left side is filled with permeable media and...
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Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
PublicationLet f be an R^n-diffeomorphism, where n = 2, 3, for which {0} is an isolated invariant set. We determine all possible forms of the sequences of fixed point indices of iterates of f at 0, {ind(f n, 0)}_n, confirming in R3 the conjecture of Ruiz del Portal and Salazar (J Differ Equ 249, 989–1013, 2010).
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Electron-Induced Decomposition of Uracil-5-yl O-(N,N-dimethylsulfamate): Role of Methylation in Molecular Stability
PublicationThe incorporation of modified uracil derivatives into DNA leads to the formation of radical species that induce DNA damage. Molecules of this class have been suggested as radiosensitizers and are still under investigation. In this study, we present the results of dissociative electron attachment to uracil-5-yl O-(N,N-dimethylsulfamate) in the gas phase. We observed the formation of 10 fragment anions in the studied range of electron...
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Superconductivity in the superhard boride WB4.2
PublicationWe show that the superhard boride WB4.2 is a superconductor with a Tc of 2.05(5) K. Temperature-dependent magnetic susceptibility, electrical resistivity, and specific heat measurements were used to characterize the superconducting transition. The Sommerfeld constant γ for WB4.2 is 2.07(3) mJ mol−1 K−2 and the ΔC/γTc=1.56, which is somewhat higher than what is expected for weakly coupled Bardeen–Cooper–Schrieffer type superconductors....
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Anita Zgorzelska dr inż.
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Improvement of electrochemical action of zinc-rich paints by addition of nanoparticulate zinc
PublicationThe influence of nanosized particles on electrochemical action of standard zinc-rich paints by means of SEM as well as potential and impedance measurements has been investigated. The motivation for doing this was to obtain additional electrical connection between the spherical microparticles themselves and zinc particles and steel substrate. Overall zinc content was at the level of 92% by weight. Samples with different concentration...
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T-colorings, divisibility and circular chromatic number
PublicationLet T be a T-set, i.e., a finite set of nonnegative integers satisfying 0 ∈ T, and G be a graph. In the paper we study relations between the T-edge spans espT (G) and espd⊙T (G), where d is a positive integer and d ⊙ T = {0 ≤ t ≤ d (max T + 1): d |t ⇒ t/d ∈ T} . We show that espd⊙T (G) = d espT (G) − r, where r, 0 ≤ r ≤ d − 1, is an integer that depends on T and G. Next we focus on the case T = {0} and show that espd⊙{0} (G) =...