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On continuity conditions at the phase interface of two-phase elastic shells
PublicationW pracy rozwinięto ogólną nieliniową teorię powłok sprężystych podlegających przejściom fazowym typu martenzytowego. Przedstawione sformułowanie oparte jest na statycznie i kinematycznie ścisłym modelu powłokowym. Uwzględniono gęstośc energii odkształcenia, jak również siły i momenty zadane wzdłuż krzywoliniowego przejścia fazowego. W szczególności otrzymano statyczne warunki ciągłości wzdłuż koherentnego połączenia oraz połączenia...
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Ellipticity in couple-stress elasticity
PublicationWe discuss ellipticity property within the linear couple-stress elasticity. In this theory, there exists a deformation energy density introduced as a function of strains and gradient of macrorotations, where the latter are expressed through displacements. So the couple-stress theory could be treated as a particular class of strain gradient elasticity. Within the micropolar elasticity, the model is called Cosserat pseudocontinuum...
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Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model
PublicationThis article proposes a photothermal model to reveal the thermo-magneto-mechanical properties of semiconductor materials, including coupled diffusion equations for thermal conductivity, elasticity, and excess carrier density. The proposed model is developed to account for the optical heating that occurs through the semiconductor medium. The Moore–Gibson–Thompson (MGT) equation of the fourth-order serves as the theoretical framework...
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On solvability of initial boundary-value problems of micropolar elastic shells with rigid inclusions
PublicationThe problem of dynamics of a linear micropolar shell with a finite set of rigid inclusions is considered. The equations of motion consist of the system of partial differential equations (PDEs) describing small deformations of an elastic shell and ordinary differential equations (ODEs) describing the motions of inclusions. Few types of the contact of the shell with inclusions are considered. The weak setup of the problem is formulated...
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Crystal and molecular structure of lithium iodide complex of 13-membered azoxycrown ether
PublicationPublikacja zawiera uzupełniające informacje do znalezionej wcześniej korelacji między typem kationu, rozmiarem makrocyklu i cechami struktury krystalicznej kompleksów a selektywnością elektrod membranowych dotowanych odpowiednimi azo- lub azoksykoronami. Ustalono strukturę krystaliczną i molekularną kompleksu 13-członowej azoksykorony (L13-O) z jodkiem litu. Stechiometria kompleksu jest 1:1. Kryształ zbudowany jest z hydratowanych...
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XIII Festiwal Performance Koło Czasu - Toruń 2019
Publication28 listopada - 1 grudnia, XIII Festiwal Performance Koło Czasu w ramach wystawy "Konstelacje - Poza horyzont" Otwarcie Festiwalu Koło Czasu - 28 listopada, godz. 17:00, finisaż wystawy pt. "Z innej perspektywy" autorstwa Mariana Stępaka w Galerii ZPAP Nurt, następnie od godz 18:00 pokaz wybranych dokumentacji z minionych edycji Koła Czasu wraz z omówieniem kuratora Festiwalu. Działania w ramach Festiwalu Performance – 29 listopada...
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Mechanika techniczna 2021/2022
e-Learning CoursesMechanika techniczna 2021/2022, kurs wspierający przedmiotMechanika techniczna, PG_00044531 przeznaczony dla studentów:Kierunek studiów: Transport Poziom kształcenia: I stopnia - inżynierskie Rok akademicki realizacji przedmiotu: 2021/2022Forma studiów: stacjonarne Rok studiów: 1 Semestr: 2 (letni)
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Nonlocal models Nonlocal Models of Plates and Shells with Applications in Micro- and Nanomechanics
ProjectsProject realized in Department of Mechanics of Materials and Structures according to 00000000 agreement from 2019-10-01
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Nonlocal models Nonlocal Models of Plates and Shells with Applications in Micro- and Nanomechanics
ProjectsProject realized in Department of Mechanics of Materials and Structures according to 00000000000000 agreement from 2019-10-01
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Nonlocal models Nonlocal Models of Plates and Shells with Applications in Micro- and Nanomechanics
ProjectsProject realized in Department of Mechanics of Materials and Structures according to 00000000000 agreement from 2019-10-01
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Synagogi dawnej Polski - ich teraźniejszość i przyszłość
PublicationTekst stanowi próbę ujęcia w szerszej perspektywie złożonego zjawiska zmiany formy użytkowania ocalałych obiektów kultu religijnego. Postępująca sekularyzacja współczesnych społeczeństw stanowi wyzwanie dla religijnych społeczności różnych wyznań, przynosząc również pytania dotyczące zmiany przeznaczenia pustoszejących świątyń. Biorąc pod uwagę społeczny kontekst zarysowany powyżej, ocalałe budynki synagog można uznać za odrębny,...
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Safety PL - a support tool for Road Safety Impact Assessment
PublicationPublished on 19 November 2008, the European Union's Directive 2008/96/EC is one of the most important EU documents setting out a road safety orientation, in particular, road infrastructure safety management. It identifies four main areas of activity: road safety impact assessment, road safety audit, ranking of high accident concentration sections and network safety ranking and road infrastructure safety inspection. The Directive...
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Comparison of target strength (TS) distributions obtained by means of the use of direct and indirect techniques in sea cages
PublicationThe aim of this study is to verify the reliability of a processing application developed for the indirect measurement of target strength (TS), with a view to the integration into a single-beam system for its utilization in fish farms. Dorsal and ventral measurements are carried out for gilt-head sea-bream (Spams Aurata) for 5 size classes using a split-beam EK60 echosounder and single-beam data obtained from one of the channels...
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Assessment of dynamic characteristics of thin cylindrical sandwich panels with magnetorheological core
PublicationBased on the equivalent single-layer linear theory for laminated shells, free and forced vibrations of thin cylindrical sandwich panels with magnetorheological core are studied. Five variants of available magnetorheological elastomers differing in their composition and physical properties are considered for smart viscoelastic core. Coupled differential equations in terms of displacements based on the generalized kinematic hypotheses...
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Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass
PublicationThe planar response of horizontal massive taut strings, travelled by a heavy point-mass, either driven by an assigned force, or moving with an assigned law, is studied. A kinematically exact model is derived for the free boundary problem via a variational approach, accounting for the singularity in the slope of the deflected string. Reactive forces exchanged between the point-mass and the string are taken into account via Lagrange...
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Characterization of the Functionally Graded Shear Modulus of a Half-Space
PublicationIn this article, a method is proposed for determining parameters of the exponentialy varying shear modulus of a functionally graded half-space. The method is based on the analytical solution of the problem of pure shear of an elastic functionally graded half-space by a strip punch. The half-space has the depth-wise exponential variation of its shear modulus, whose parameters are to be determined. The problem is reduced to an integral...
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On rotational instability within the nonlinear six-parameter shell theory
PublicationWithin the six-parameter nonlinear shell theory we analyzed the in-plane rotational instability which oc- curs under in-plane tensile loading. For plane deformations the considered shell model coincides up to notations with the geometrically nonlinear Cosserat continuum under plane stress conditions. So we con- sidered here both large translations and rotations. The constitutive relations contain some additional mi- cropolar parameters...
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Surface and interfacial anti-plane waves in micropolar solids with surface energy
PublicationIn this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity....
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On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
PublicationIn this paper, it is proven an existence and uniqueness theorem for weak solutions of the equilibrium problem for linear isotropic dilatational strain gradient elasticity. Considered elastic bodies have as deformation energy the classical one due to Lamé but augmented with an additive term that depends on the norm of the gradient of dilatation: only one extra second gradient elastic coefficient is introduced. The studied class...
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Deformation of an elastic second gradient spherical body under equatorial line density of dead forces
PublicationWe consider deformations of an elastic body having initially a spherical shape. Assumed deformation energy depends on the first and second gradient of displacements. We apply an equatorial line density of dead loads, that are forces per unit line length directed in radial direction and applied along the equator of the sphere. We restrict ourselves our analysis to the case of linearized second strain gradient isotropic elasticity...
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A Review of Hyperelastic Constitutive Models for Dielectric Elastomers
PublicationDielectric elastomers are smart materials that are essential components in soft systems and structures. The core element of a dielectric elastomer is soft matter, which is mainly rubber-like and elastomeric. These soft materials show a nonlinear behaviour and have a nonlinear strain-stress curve. The best candidates for modelling the nonlinear behaviour of such materials are hyperelastic strain energy functions. Hyperelastic functions...
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Nonlinear Free and Forced Vibrations of a Hyperelastic Micro/Nanobeam Considering Strain Stiffening Effect
PublicationIn recent years, the static and dynamic response of micro/nanobeams made of hyperelasticity materials received great attention. In the majority of studies in this area, the strain-stiffing effect that plays a major role in many hyperelastic materials has not been investigated deeply. Moreover, the influence of the size effect and large rotation for such a beam that is important for the large deformation was not addressed. This...
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A model of damaged media used for describing the process of non-stationary creep and long-term strength of polycrystalline structural alloys
PublicationThe main laws of the processes of creep and long-term strength of polycrystalline structural alloys are considered. From the viewpoint of continuum damaged media (CDM), a mathematical model is developed that describes the processes of viscoplastic deformation and damage accumulation under creep. The problem of determining material parameters and scalar functions of the developed constitutive relations based on the results of specially...
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Laplace domain BEM for anisotropic transient elastodynamics
PublicationIn this paper, we describe Laplace domain boundary element method (BEM) for transient dynamic problems of three-dimensional finite homogeneous anisotropic linearly elastic solids. The employed boundary integral equations for displacements are regularized using the static traction fundamental solution. Modified integral expressions for the dynamic parts of anisotropic fundamental solutions and their first derivatives are obtained....
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Nonlinear free and forced vibrations of a dielectric elastomer-based microcantilever for atomic force microscopy
PublicationThe majority of atomic force microcode (AFM) probes work based on piezoelectric actuation. However, some undesirable phenomena such as creep and hysteresis may appear in the piezoelectric actuators that limit their applications. This paper proposes a novel AFM probe based on dielectric elastomer actuators (DEAs). The DE is modeled via the use of a hyperelastic Cosserat model. Size effects and geometric nonlinearity are included...
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Advanced Bayesian study on inland navigational risk of remotely controlled autonomous ship
PublicationThe arise of autonomous ships has necessitated the development of new risk assessment techniques and methods. This study proposes a new framework for navigational risk assessment of remotely controlled Maritime Autonomous Surface Ships (MASS). This framework establishes a set of risk influencing factors affecting safety of navigation of a remotely-controlled MASS. Next, model parameters are defined based on the risk factors, and...
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Wpływ stosowania usług Inteligentnych Systemów Transportowych na poziom bezpieczeństwa ruchu drogowego
PublicationW artykule opisano założenia projektu pt. "Wpływ stosowania usług Inteligentnych Systemów Transportowych na poziom bezpieczeństwa ruchu drogowego". Projekt jest realizowany w ramach programu Rozwój Innowacji Drogowych (RID) zorganizowanego i finansowanego przez Narodowe Centrum Badań i Rozwoju i Generalną Dyrekcję Dróg Krajowych i Autostrad (umowa nr DZP/RID-I-41/7/NCBR/2016). Celem projektu jest opracowanie narzędzi , które umożliwią...
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Mechatronic Design Towards Investigation of the Temporo-Mandibular Joint Behaviour
PublicationA significant problem of the temporo-mandibular joint (TMJ) research is lack of data concerning geometry and position of TMJ discs. It leads to necessity of developing a driving method of the process optimization, which is based on chosen techniques of mechatronic design. In particular, the latter concerns a technique of experimentally supported virtual prototyping. On this stage, the research is characterized by well-verified...
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On a 3D material modelling of smart nanocomposite structures
PublicationSmart composites (SCs) are utilized in electro-mechanical systems such as actuators and energy harvesters. Typically, thin-walled components such as beams, plates, and shells are employed as structural elements to achieve the mechanical behavior desired in these composites. SCs exhibit various advanced properties, ranging from lower order phenomena like piezoelectricity and piezomagneticity, to higher order effects including flexoelectricity...
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Unexpected thioketene derivative formation during thioacyl dithiophosphate synthesis.
PublicationZbadano zakres i ograniczenia tioacylowania opartego na ditiofosforanach tioacylu. Ditiofosforany tioacylo otrzymano w wyniku reakcji ditiofosforanów acylu z kwasem ditiofosforowym. Obecność dwóch podstawników w pozycji alfa we fragmencie acylowym faworyzowała tworzenie pochodnych tioketenu tym samym obniżając wydajność oczekiwanych ditiofosforanów tioacylu.
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Current rectification in molecular junctions produced by local potential fields
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Design and evaluation of a base module of active power electronic transformer
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A continual model of a damaged medium used for analyzing fatigue life of polycrystalline structural alloys under thermal–mechanical loading
PublicationThe main physical laws of thermal–plastic deformation and fatigue damage accumulation processes in polycrystalline structural alloys under various regimes of cyclic thermal–mechanical loading are considered. Within the framework of mechanics of damaged media, a mathematical model is developed that describes thermal–plastic deformation and fatigue damage accumulation processes under low-cycle loading. The model consists of three...
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Flexoelectricity and apparent piezoelectricity of a pantographic micro-bar
PublicationWe discuss a homogenized model of a pantographic bar considering flexoelectricity. A pantographic bar consists of relatively stiff small bars connected by small soft flexoelectric pivots. As a result, an elongation of the bar relates almost to the torsion of pivots. Taking into account their flexoelectric properties we find the corresponding electric polarization. As a results, the homogenized pantographic bar demonstrates piezoelectric...
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On the non-linear dynamics of torus-shaped and cylindrical shell structures
PublicationIn this study, the non-linear dynamic analysis of torus-shaped and cylindrical shell-like structures has been studied. The applied material is assumed as the functionally graded material (FGM). The structures are considered to be used for important machines such as wind turbines. The effects of some environmental factors on the analysis like temperature and humidity have been considered. The strain field has been calculated in...
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Mechanical simulation of artificial gravity in torus-shaped and cylindrical spacecraft
PublicationLarge deformations and stress analyses in two types of space structures that are intended for people to live in space have been studied in this research. The structure under analysis is assumed to rotate around the central axis to create artificial gravitational acceleration equal to the gravity on the Earth's surface. The analysis is fully dynamic, which is formulated based on the energy method by using the first-order shear deformation...
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A Novel Approach to Fully Nonlinear Mathematical Modeling of Tectonic Plates
PublicationThe motion of the Earth's layers due to internal pressures is simulated in this research with an efficient mathematical model. The Earth, which revolves around its axis of rotation and is under internal pressure, will change the shape and displacement of the internal layers and tectonic plates. Applied mathematical models are based on a new approach to shell theory involving both two and three-dimensional approaches. It is the...
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Design and evaluation of a base module of active power electronic transformer
PublicationThis paper presents an active power electronic transformer (APET) based on modular structure. The proposed three phase APET consists of at least three base modules (BM). The input/output stage of the BM is based on half-bridge sub modules. The isolation stage includes a medium frequency transformer and is realized as a dual half-bridge. The paper describes construction process and explains the control strategy. The theoretical...
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Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads
PublicationRotating micromachined beams are one of the most practical devices with several applications from power generation to aerospace industries. Moreover, recent advances in micromachining technology have led to huge interests in fabricating miniature turbines, gyroscopes and microsensors thanks to their high quality/reliability performances. To this end, this article is organized to examine the axial dynamic reaction of a rotating...
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On the generalized model of shell structures with functional cross-sections
PublicationIn the present study, a single general formulation has been presented for the analysis of various shell-shaped structures. The proposed model is comprehensive and a variety of theories can be used based on it. The cross-section of the shell structure can be arbitrarily analyzed with the presented equations. In other words, various types of shell structures, including cylindrical, conical, spherical, elliptical, hyperbolic, parabolic,...
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Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method
PublicationIn this paper, bending analysis of rectangular functionally graded (FG) nanoplates under a uniform transverse load has been considered based on the modified couple stress theory. Using Hamilton’s principle, governing equations are derived based on a higher-order shear deformation theory (HSDT). The set of coupled equations are solved using the dynamic relaxation (DR) method combined with finite difference (FD) discretization technique...
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On the Equations of the Surface Elasticity Model Based on the Theory of Polymeric Brushes
PublicationMotivating by theory of polymers, in particular, by the models of polymeric brushes we present here the homogenized (continual) two-dimensional (2D) model of surface elasticity. A polymeric brush consists of an system of almost aligned rigid polymeric chains. The interaction between chain links are described through Stockmayer potential, which take into account also dipole-dipole interactions. The presented 2D model can be treated...
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On Kinetic Nature of Hysteresis Phenomena in Stress-Induced Phase Transformations
PublicationA simplest model is developed which demonstrates that hysteresis phenomena in stress-induced phase transformations may have a kinetic nature and follow from the discrepancy between strain rate and characteristic rate of the new phase growth.
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A Generalized Framework Towards Structural Mechanics of Three-layered Composite Structures
PublicationThree-layered composite structures find a broad application. Increasingly, composites are being used whose layer thicknesses and material properties diverge strongly. In the perspective of structural mechanics, classical approaches to analysis fail at such extraordinary composites. Therefore, emphasis of the present approach is on arbitrary transverse shear rigidities and structural thicknesses of the individual layers. Therewith...
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Characterization of Small Azocrown Ether Stereoisomers.
PublicationWyizolowano i zbadano metodą X-ray, 1H NMR i UV-Vis trwałe izomery E i Z 10-członowej azokorony. Ich struktura w stanie stałym świadczy o naprężonej konformacji w przypadku izomeru trans i nie naprężonej dla izomeru cis. Jest to efektem sprzężenia p grupy azowej z benzenem i naprężenia sterycznego konformacji cząsteczki.
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Application of Potentiometric Taste Sensor with All Solid State Electrodes for Distinguishing of Red Dry Wines from Polish and French Vineyards
PublicationOpracowano nowy potencjometryczny czujnik smaku z sześcioma różnymi elektrodami typu All Solid State Electrode (ASSE). Każda z elektrod zawiera dwie warstwy: polimer przewodzący i membranę lipidowo-polimerową, w której rozpuszczone są poszczególne związki lipidowe. Potencjometryczny sensor smaku charakteryzuje się globalną selektywnością. Zastosowano go w celu odróżnienia próbek wytrawnych czerwonych win pochodzących z różnych...
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A variational approach of homogenization of piezoelectric composites towards piezoelectric and flexoelectric effective media
PublicationThe effective piezoelectric properties of heterogeneous materials are evaluated in the context of periodic homogenization, whereby a variational formulation is developed, articulated with the extended Hill macrohomogeneity condition. The entire set of homogenized piezoelectric moduli is obtained as the volumetric averages of the microscopic properties of the individual constituents weighted by the displacement and polarization...
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Investigation of Wood Flour Size, Aspect Ratios, and Injection Molding Temperature on Mechanical Properties of Wood Flour/Polyethylene Composites
PublicationIn the present research, wood flour reinforced polyethylene polymer composites with a coupling agent were prepared by injection molding. The effects of wood flour size, aspect ratios, and mold injection temperature on the composites’ mechanical properties were investigated. For the preparation of the polymer composites, five different formulations were created. The mechanical properties including tensile strength and the modulus,...
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Lower Rim Substituted tert-Butyl Calix[4]arenes (Part IV). Calix[4]arene-Crown Ethers as Ionophores in Plasticized PVC-membrane electrodes.
PublicationPrzedstawiono syntezę i charakterystykę trzech p-tert-butylokaliks[4]aren-koron-4, -5, -6 (związki 2 - 4 o różnej długości łańcucha polyoksaetylenowego łączącego distalne grupy OH). Syntezowane związki wykazują wysoką selektywność na kationy sodu, potasu lub cezu. Badano zależność pomiędzy stereochemiczną strukturą tych ligandów, a wyznaczonymi potencjometrycznie współczynnikami selektywności oraz wyznaczonymi stałymi trwałości...
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Synthesis and properties of azobenzocrown ethers with pi-electron donor, or pi-electron donor and pi-electron acceptor group(s) on benzene rings
PublicationZsyntezowano nowe etery azobenzokoronowe o różnej wielkości makropierścienia i z różnymi podstawnikami w resztach benzenowych. Korony te posiadają w pierścieniach benzenowych, w pozycji para do grupy azo grupy funkcyjne o charakterze π-elektronodonorowym lub π-elektronoakceptorowym. Zbadano zdolność kompleksowania jonów metali przez te korony, w roztworze, metodą spektrofotometrii UV-vis. Ustalono strukturę 19-członowego eteru...