Search results for: ATOM-MOLECULE COLLISIONS
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Potential energy curves, transition and permanent dipole moments of KRb
PublicationWe present extensive calculations of 48 adiabatic potential energy curves of the KRb molecule. Efforts have been focused on preparing the appropriate basis sets. Compared to previous approaches, the set of new potential energy curves is extended to higher excitations, including the single-excited K(4s2S)+Rb(5d2D) and double-excited K(4p2P)+Rb(5p2P) atomic limits. Larger distances between nuclei are also taken into account. New...
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Two-particle entropy and structural ordering in liquid water
PublicationEntropies of simple point charge (SPC) water were calculated over the temperature range 278-363 K using the two-particle correlation function approximation. Then, the total two-particle contribution to the entropy of the system was divided into three parts, which we call translational, configurational, and orientational. The configurational term describes the contribution to entropy, which originates from spatial distribution of...
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Electron scattering by planar boron-containing molecules BX3(X=F, Cl, CD3)
PublicationPraca prezentuje absolutny całkowity przekrój na rozpraszanie elektronów dla drobiny B(CD3)3 w zakresie niskich i średnich energii, otrzymany liniową metodą transmisyjną. Porównanie wyników dla innych płaskich drobin zawierających bor jako atom centralny - BX3(X=F, Cl) ukazuje rolę atomów zewnętrznych w procesie rozpraszania.
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cis-Dichloridobis(diethylphenylphosphine-kappa-P)platinum(II)
PublicationZwiązek [PtCl2(Et2PhP)2] został otrzymany w postaci krystalicznej i zbadany metodą rentgenowskiej analizy strukturalnej. W syntezie otrzymuje się izomer cis. Atom platyny wykazuje nieco zniekształconą koordynację płasko-kwadratową. Struktura krystaliczna jest dodatkowo stabilizowana przez słabe wewnątrz- i międzyczasteczkowe wiązania wodorowe typu C-H...Cl.
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(2,2'-Bipyridine)bis(tri-tert-butoxysilanethiolato-kS)lead(II) and (4,7-diphenyl-1,10-phenanthroline-k2N,N')bis(tri-tert-butoxysilanethiolato-kS)lead(II) benzene hemisolvate
PublicationWyznaczono i opisano struktury rentgenowskie tytułowych związków. Atom ołowiu w obu przypadkach wykazuje koordynację typu zniekształconej piramidy kwadratowej o rdzeniu PbON2S2 w której jeden z atomów siarki leży w pozycji osiowej. Struktury są stabilizowane przez oddziaływania międzycząsteczkowe typu pi-pi oraz C-H...pi.
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From flow to jamming: Lattice Gas Automaton simulations in granular materials
PublicationWe introduce the first extension of a Lattice Gas Automaton (LGA) model to accurately replicate observed emergent phenomena in granular materials with a special focus on previously unexplored jamming transitions by incorporating gravitational effects, energy dissipation in particle collisions, and wall friction. We successfully reproduce flow rate evolution, density wave formation, and jamming transition observed in experiments....
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Comparison of Selection Schemes in Evolutionary Method of Path Planning
PublicationThis article compares an impact of using various selection schemes on the quality of the solution for the problem of planning the path for a moving object using the evolutionary method. In study case problem of avoiding collisions at sea is analyzed. The modelled environment includes static constraints (lands, canals, etc.) and dynamic objects (moving ships). Article analyses behaviour of selection schemes in two similar environments...
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[N,N'-Bis(2,6-diisopropylphenyl)pentane-2,4-diamine(1-)-2[kappa]2N,N']-[mu]2-chlorido-1:2[kappa]2Cl:Cl-chlorido-2[kappa]Cl-bis(1,2-dimethoxyethane-1[kappa]2O,O')iron(II)lithium
PublicationIn the title compound, [FeLi(C29H41N2)Cl2(C4H10O2)2], theFeII atom is coordinated by two N and two Cl atoms,generating a distorted FeN2Cl2 tetrahedral geometry. Additionally,one of the chloride atoms bridges to a lithium ion,which is solvated by two dimethoxyethane molecules and iscoordinated in a distorted trigonal-bipyramidal environment.The central Fe, Cl (*2) and Li atoms are coplanar with amaximum deviation of 0.034 A ° .
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(S)-N-Nitrosoazetidine-2-carboxylic acid.
PublicationAnaliza rentgenograficzna monokryształów kwasu (S)-N-nitozoazetydyno-2-karboksylowego wykazała, że reszta N-nitrozoaminowa przyjmuje konfigurację E. Azetydynowy atom azotu jest nieznacznie piramidalny. Cząsteczki w sieci krystalicznej oddziałują ze sobą poprzez wiązania wodorowe pomiędzy atomem tlenu grupy nitrozowej i atomem wodoru grupy karboksylowej, tworząc polimeryczny łańcuch.
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Symmetrical and unsymmetrical diphosphanes with diversified alkyl, aryl and amino substituents
PublicationWe present the comprehensive study of diphosphanes with diversified substituents regarding their syntheses, structures, and properties. To this end, we have synthesized a series of novel unsymmetrical alkyl, aryl and amino-substituted diphosphanes of the general formula R1R2P-PR3R4 (where R1, R2, R3, R4 = tBu, Ph, Et2N or iPr2N) via salt metathesis reactionof halophosphanes with metal phosphides in high yield. We vastly expanded...
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Modified Peptide Molecules As Potential Modulators of Shelterin Protein Functions; TRF1
PublicationIn this work, we present studies on relatively new and still not well-explored potential anticancer targets which are shelterin proteins, in particular the TRF1 protein can be blocked by in silico designed "peptidomimetic" molecules. TRF1 interacts directly with the TIN2 protein, and this protein-protein interaction is crucial for the proper functioning of telomere, which could be blocked by our novel modified peptide molecules....
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Application of nonmetallic frustrated cations in the activation of small molecules
PublicationThe concept of nonmetallic frustrated cations has been used in small molecule activation. The in situ generated ambiphilic phosphinoborinium cation activated phenyl isocyanate, diisopropylcarbodiimide, and acetonitrile under very mild conditions without any catalyst, yielding single-, double-, or mixed-activation products. Furthermore, the mechanisms of the reactions of the phosphinoborinium cation with small molecules were elucidated...
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Bis(tri-tert-butoxysilanethiolato-kS)bis(pyrrolidine-kN)cobalt(II)
PublicationReakcja [Co{SSi(OtBu)3}2(NH3)]2 z pyrrolidyną prowadzi do otrzymania kompleksu [Co(C12H27O3SSi)2(C4H9N)2], gdzie atom kobaltu(II) jest koordynowany przez dwie reszty silanotiolanowe i dwie reszty pyrrolidyny. Specyficzne przestrzenne ułożenie wszystkich ligandów dodatkowo daje możliwość utworzenia dwóch wewnątrzcząsteczkowych wiązań wodorowych N-H***O.
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Tetrahydrofuran-kO bis(tri-tert-butoxysilanethiolato-k2O,S)chromium(II)
PublicationTytułowy związek jest pierwszym silanotiolanowym kompleksem chromu(II). Atom chromu jest koordynowany przez 0,S-chelatujący tri-tert-butoksysilanotiolanowy ligand oraz dodatkowy ligand - czasteczkę tetrahydrofuranu. Geometrię ligandów wokół atomu chromu można opisać jako piramidę o podstawie kwadratu, z czasteczką tetrahydrofuranu w pozycji wierzchołkowej. Związek ten posiada dwukrotną oś symetrii.
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Theory versus experiment for vacuum Rabi oscillations in lossy cavities
PublicationThe 1996 experiment by Brune et al. [Phys. Rev. Lett. 76, 1800 (1996)] on vacuum Rabi oscillation is analyzed by means of alternative models of atom-reservoir interaction. Agreement with experimental Rabi oscillation data can be obtained if one defines jump operators in the dressed-state basis and takes into account thermal fluctuations between dressed states belonging to the same manifold. Such low-frequency transitions could...
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Determination of Peak Impact Force for Buildings Exposed to Structural Pounding during Earthquakes
PublicationStructural pounding between adjacent, insufficiently separated buildings, or bridge segments, has been repeatedly observed during seismic excitations. Such earthquake-induced collisions may cause severe structural damage or even lead to the collapse of colliding structures. The aim of the present paper was to show the results of the study focused on determination of peak impact forces during collisions between buildings exposed...
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ELECTRON-IMPACT IONIZATION CROSS SECTIONS CALCULATIONS FOR PURINE AND PYRIMIDINE MOLECULES
PublicationCross sections for electron-impact ionization of purine and pyrimidine molecules have been calculated using binary-encounter-Bethe method for electron energies ranging from the ionization threshold up to 5 keV. Ionization cross section for purine molecules is 1.4 times higher than for pyrimidine molecules. Acceptable agreement between experimental and theoretical ionization data for pyrimidine molecule has been found.
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Electron-impact dissociation of molecular hydrogen: benchmark cross sections
PublicationWe present a joint experimental and theoretical investigation of a fundamental process in atomic and molecular physics: electron impact excitation of molecular hydrogen’s (H2) most dominant transition (X1Σg+ → b3Σu+). Excitation of this state is by far the main channel that causes the dissociation of H2 into H + H atoms at low energies. The Convergent Close-Coupling (CCC) calculations predicted significant, more than factor of...
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The electronic structure of p-xylylene and its reactivity with vinyl molecules
PublicationThe electronic states of p-xylylene molecule were described at the multi-configurational CASSCF/MRMP2 level of theory. The closed-shell singlet state representing the quinoidal p-xylylene molecule was pre-dicted to be the ground electronic state whereas the triplet (benzoidal) and the singlet open-shell states were found to be much higher in energy (by 159 and 423 kJ/mol, respectively, as found at the CASSCF(8,8)/6-31+G(d) level)....
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(3,5-Dimethylpyridine)bis(tri-tert-butoxysilanethiolato)cadmium(II)
PublicationTytułowy związek jest molekularnym, heteroleptycznym tiolanem kadmu zawierającym jako dodatkowy ligand 3,5-dimetylopirydynę. Jon kadmu(II) znajduje się w centrum bipiramidy o podstawie trójkątnej, utworzonej przez 5 atomów - 2 atomy siarki, 2 atomy tlenu i jeden atom azotu. Między cząsteczkami kompleksu upakowanymi w krysztale nie ma oddziaływań innych niż oddziaływania van der Waalsa.
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Magnetizabilities of relativistic hydrogenlike atoms in some arbitrary discrete energy eigenstates
PublicationWe present the results of numerical calculations of magnetizability of the relativistic hydrogenlike atoms. Exploiting the analytical formula for $\chi$ we have found the values of the magnetizability for the ground state and for the first and the second set of excited states of the atom. The results for ions with the atomic number $0
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Bis(tetra-n-butylammonium) tetrabromocadmate(II) toluene disolvate
PublicationW pracy opisano strukturę tetrabromokadmianu tetrabutyloamoniowego będącego solwatem toluenowym. W kompleksowym anionie tego związku atom kadmu jest koordynowany przez cztery jony bromkowe tak, że cały układ przyjmuje kształt tetraedru z wszystkimi kątami Br-Cd-Br równymi 109.8o. Długość wiązania Cd-Br wynosząca 2.591Å jest typowa dla układów zawierających jako anion [CdBr4]2-.
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Triaquabis(tri-tert-butoxysilanethiolato)barium
PublicationReakcja metalicznego baru z tri-tert-butoksysilanotiolem w obecności śladów wody daje [Ba(C12H27O3SSi)2(H2O)3]. Atom baru koordynowany jest przez dwie reszty silanotiolanowe w sposób chelatujący (jako O,S-ligandy) oraz przez atomy tlenu z trzech cząsteczek wody, tworząc międzycząsteczkową sieć wiązań wodorowych typu O--H...O i O--H...S.
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Physics-Based Coarse-Grained Modeling in Bio- and Nanochemistry
PublicationCoarse-grained approaches, in which groups of atoms are represented by single interaction sites, are very important in biological and materials sciences because they enable us to cover the size- and time-scales by several orders of magnitude larger than those available all-atom simulations, while largely keeping the details of the systems studied. The coarse-grained approaches differ by the scheme of reduction and by the origin...
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Oxolane Ammonium Salts (Muscarine-Like)—Synthesis and Microbiological Activity
PublicationCommercially available 2-deoxy-D-ribose was used to synthesize the appropriate oxolane derivative—(2R,3S)-2-(hydroxymethyl)oxolan-3-ol—by reduction and dehydration/cyclization in an acidic aqueous solution. Its monotosyl derivative, as a result of the quaternization reaction, allowed us to obtain eight new muscarine-type derivatives containing a quaternary nitrogen atom and a hydroxyl group linked to the oxolane ring. Their structure...
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Intramolecular transformation of an antifungal antibiotic nystatin A1 into its isomer, iso-nystatin A1 - structural and molecular modeling studies
PublicationNystatin A1, a polyene macrolide antifungal antibiotic, in a slightly basic or acidic solution undergoes an intramolecular transformation, yielding a structural isomer, the translactonization product, iso-nystatin A1 with lactone ring diminished by two carbon atoms. Structural evidence is provided by advanced NMR and Mass Spectrometry (MS) studies. Molecular dynamics simulations and quantum mechanics calculations gave the insight...
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Ammine(2-ethylpyridine-κN)bis(tri-tert-butoxysilanethiolato-κS)cobalt(II)
PublicationTytułowy związek [Co(C12H27O3SSi)2(C7H9N)(NH3)] został otrzymany w reakcji dimerycznego amoniakalnego tri-tert-butoksysilanotiolanu kobaltu(II) z 2-etylopirydyną. Atom kobaltu w otrzymanym związku jest koordynowany przez dwa atomy siarki, jedną resztę 2-etylopirydyny i jedną cząsteczkę amoniaku. Dzięki specyficznemu przestrzennemu ustawieniu ligandów, dodatkowo tworzy się wiązanie wodorowe wewnątrz cząsteczkowe N-H - S
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Electron-scattering total cross sections for complex molecules: group additivity rule
PublicationZaprezentowano całkowite przekroje czynne na rozpraszanie elektronów na dwóch rodzinach drobin: pierwszej - zawierającej azot jako atom centralny [N(CH3)3, NH2CH3, NH3]oraz drugiej - rodzinę eterów cyklicznych [c-(CH2)nO, gdzie n=2-5]. Zostało pokazane, że TCS dla niektórych drobin wieloatomowych można wyznaczyć na podstawie wyników TCS dla drobin o prostszej budowie lub ich fragmentów.
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H2O˙+ and OH+ reactivity versus furan: experimental low energy absolute cross sections for modeling radiation damage
PublicationRadiotherapy is one of the most widespread and efficient strategies to fight malignant tumors. Despite its broad application, the mechanisms of radiation-DNA interaction are still under investigation. Theoretical models to predict the effects of a particular delivered dose are still in their infancy due to the difficulty of simulating a real cell environment, as well as the inclusion of a large variety of secondary processes. This...
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Seismic Pounding Between Bridge Segments: A State-of-the-Art Review
PublicationEarthquake-induced structural pounding in bridge structures has been observed in several previous seismic events. Collisions occur at the expansion joints provided between adjacent decks or between the deck and abutment. Pounding between the structural elements may lead to severe damages and even to the unseating of the bridge in certain cases. Several investigations have been performed to study pounding in bridges under uniform...
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Optimizing the computation of a parallel 3D finite difference algorithm for graphics processing units
PublicationThis paper explores the possibilities of using a graphics processing unit for complex 3D finite difference computation via MUSTA‐FORCE and WENO algorithms. We propose a novel algorithm based on the new properties of CUDA surface memory optimized for 2D spatial locality and compare it with 3D stencil computations carried out via shared memory, which is currently considered to be the best approach. A case study was performed for...
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Azo and azoxythiacrown ethers: synthesis and properties
PublicationA series of 16- and 18-membered azo- and azoxythiacrown ethers have been synthesized by reductive macrocyclization of the respective bis(nitrophenoxy)oxaalkanes. The aromatic residues located in the polyether region of the molecule were introduced to macrocyclic skeletons and their affinities toward different groups of metal cations in ion-selective electrodes were described. X-ray structures for one dinitropodand and one azoxybenzothiacrown...
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Bis(diethylamido-[kappa]N)(diethylamine-[kappa]N)bis(2,6-diisopropylphenylamido-[kappa]N)zirconium(IV)
PublicationIn the title compound, [Zr(C12H18N)2(C4H10N)2(C4H11N)] or [Zr(HNC6H3iPr2)2(NEt2)2(HNEt2)], which was obtained by the reaction of Zr(NEt)4 with iPr2C6H3NH2, the Zr IV atom is in a trigonal–bipiramidal geometry in which the N atoms from two iPr2C6H3NH and one NEt2 ligand occupy the equatorial positions, and the N atoms of an NEt2 and an Et2NH ligand occupy the apical positions. An intramolecular N—HN contact occurs. There are two...
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Electron Scattering on X(CH3)4 Molecules: Applicability of Simple Additivity Rule and Role of Methylation
PublicationTo investigate influence of target methylation (substitution of a hydrogen atom by methyl group) on electron-collision processes we compare absolute total cross sections for XH4 and X(CH3)4 molecules, where X is Si and Ge, respectively. We also compare experimental TCSs energy dependencies with estimated data obtained using simple formula and TCSs for methyl group and those for SiH4 and GeH4. Electron-scattering TCSs for mentioned...
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Inhibition of impurities formation in the synthesis of N-alkyltheobromines stimulated by microwave irradiation. Cationic and anionic response of membrane electrodes
PublicationN-Alkyltheobromine (1-9) derivatives were obtained by reacting theobromine with appropriate alkyl halide under microwave irradiation at 100-150 W and by conventional synthesis. Formation of by-products of oxygen atom alkylation and 1-N-alkyltheobromine ring opening were considered. The presented compounds 1-5 have been studied as ion carriers in ion-selective membrane electrodes. Selectivity of these membranes was studied towards...
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Study on polymer elements for mitigation of earthquake-induced pounding between buildings in complex arrangements
PublicationPounding between neighbouring buildings during earthquakes has been identified as one of the reasons for substantial damage or even total collapse of colliding structures, so it has been the subject of numerous studies in the recent years. A major reason leading to interactions between adjacent, insufficiently separated structures results from the differences in their dynamic properties. The problem is much more complicated for...
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A Simple Neural Network for Collision Detection of Collaborative Robots
PublicationDue to the epidemic threat, more and more companies decide to automate their production lines. Given the lack of adequate security or space, in most cases, such companies cannot use classic production robots. The solution to this problem is the use of collaborative robots (cobots). However, the required equipment (force sensors) or alternative methods of detecting a threat to humans are usually quite expensive. The article presents...
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The supramolecular organization of self-assembling chlorosomal bacteriochlorophyll c, d, or e mimics
PublicationBacteriochlorophylls (BChls) c, d, and e are the main light-harvesting pigments of green photosynthetic bacteria that self-assemble into nanostructures within the chlorosomes forming the most efficient antennas of photosynthetic organisms. All previous models of the chlorosomal antennae, which are quite controversially discussed because no single crystals could be grown so far from these organelles, involve a strong hydrogen-bonding...
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Alternative method for the synthesis of imidazo[5,1-f][1,2,4]triazin-4(3H)-one—a substrate for the preparation of phosphodiesterase (5) inhibitors
PublicationImidazo[5,1-f][1,2,4]triazin-4(3H)-ones, as isosteres of purine, are of interest for pharmaceutical research as potential substrates for the synthesis of cGMP-PDE5 inhibitors. We present a novel, alternative method for the synthesis of imidazotriazinones, that differs from the previously reported ones with respect to the method of construction of the triazinone ring in the molecule. The key step in our approach is condensation...
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A Cu/Zn heterometallic complex with solvent-binding cavity, catalytic activity for the oxidation of 1-phenylethanol and unusual magnetic properties
PublicationMononuclear and polymeric complexes of zinc(II) and copper(II) have been synthesized using two isomers of the hemi-salen ligand with a different mutual orientation of donor atoms. The heterometallic Cu/Zn metallocycle features a catalytic niche filled with the molecule of water and molecules of methanol. This unusual compound exhibits both pronounced catalytic activity in the reaction of oxidation of a secondary alcohol to ketone...
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TIME-OF-FLIGHT DIFFERENTIAL ELECTRON SCATTERING FROM MOLECULAR TARGETS: BENCHMARK CROSS SECTIONS
PublicationWe report time-of-flight differential cross section (DCS) measurements for the electron impact excitation transition in H2. In this work, agreement between available theory and experiment is excellent overall, and marks a transition in electron molecule scattering where differential scattering of excitation is found to be in such precise agreement. We also prove that the newly built apparatus can be used for accurate measurement...
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Examining Impact of Speed Recommendation Algorithm Operating in Autonomous Road Signs on Minimum Distance between Vehicles
PublicationAn approach to a new kind of recommendation system design that suggests safe speed on the road is presented. Real data obtained on roads were used for the simulations. As part of a project related to autonomous road sign development, a number of measurements were carried out on both local roads and expressways. A speed recommendation model was created based on gathered traffic data employing the traffic simulator. Depending on...
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pH-Responsive Drug Delivery Nanoplatforms as Smart Carriers of Unsymmetrical Bisacridines for Targeted Cancer Therapy
PublicationSelective therapy and controlled drug release at an intracellular level remain key challenges for effective cancer treatment. Here, we employed folic acid (FA) as a self-navigating molecule in nanoconjugates containing quantum dots (QDs) and β-cyclodextrin (β-CD) for the delivery of antitumor unsymmetrical bisacridine compound (C-2028) to lung and prostate cancers as well as normal cells. The bisacridine derivative can form the...
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Modelling charge transfer processes in C2+ -tetrahydrofuran collision for ion-induced radiation damage in DNA building blocks
PublicationInvestigations of collision-induced processes involving carbon ions and molecules of biological interest in particular DNA building blocks, are crucial to model the effect of radiation on cells in order to improve medical treatments for cancer therapy. Using carbon ions appears to be one of the most efficient ways to increase biological effectiveness to damage cancerous cells by irradiating deep-seated tumors. Therefore, interest...
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Cross section calculations for electron scattering from platinum chemotherapeutic compounds
PublicationCross section for electron impact ionization of carboplatin, C6H12N2O4Pt, and oxaliplatin, C8H14N2O4Pt, have been calculated within binary-encounter-Bethe model for energies from the ionization threshold up to 5000 eV. Cross section for elastic electron scattering from carboplatin and oxaliplatin molecules have also been derived using independent atom method (IAM) and additivity rule for collision energies ranging from 50 eV to...
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Tlenek grafenu i redukowany tlenek grafenu
PublicationGrafen to alotropowa odmiana węgla o grubości jednego atomu. Charakteryzuje się niezwykłą wytrzymałością mechaniczną. W porównaniu z diamentem moduł Younga grafenu (określający sprężystość materiału) jest około 1000 razy większy. Każdy atom węgla w grafenie posiada cztery elektrony walencyjne– trzy z nich biorą udział w tworzeniu wiązań kowalencyjnych z sąsiednimi atomami, ostatni zaś tworzy chmurę zdelokalizowanych elektronów...
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Elektryczne i magnetyczne statyczne podatności multipolowe jednoelektronowego atomu Diraca w stanie podstawowym
PublicationW rozprawie rozważono relatywistyczny atom jednoelektronowy w stanie podstawowym umieszczony w statycznym multipolowym polu elektrycznym i magnetycznym. Wykorzystano rachunek zaburzeń, wraz z rozwinięciem sturmowskim uogólnionej funkcji Greena-Diraca-Coulomba [R. Szmytkowski, JPhys. B 30 (1997) 825; errata 30 (1997) 2747], co umożliwiło wyznaczenie analitycznych wyrażeń dla podatności multipolowych pól dalekich i pól bliskich....
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Quasirelativistic potential energy curves and transition dipole moments of NaRb
PublicationWe report on extensive calculations of quasi-relativistic potential energy curves and, for the first time, transition dipole moments including spin-orbit and scalar-relativistic effects of the NaRb molecule. The calculated curves of the 0+, 0-, 1, 2 and 3 molecular states correlate for large internuclear separation with the fourteen lowest atomic energies up to the Na(3s ^2S_{1/2}) + Rb(7s ^2S_{1/2}) atomic limit. Several new features...
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Verification of Formulas for Periods of Adjacent Buildings Used to Assess Minimum Separation Gap Preventing Structural Pounding during Earthquakes
PublicationInsufficient separation distance between adjacent buildings may lead to serious damages during earthquakes due to structural pounding. The best way to prevent collisions is to provide sufficiently large separation distance between the structures. In this paper, the periods of two closely-spaced linear and nonlinear buildings have been investigated so as to accurately assess the minimum in-between separation gap. A new equation...
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Experimental research on evolutionary path planning algorithm with fitness function scaling for collision scenarios
PublicationThis article presents typical ship collision scenarios, simulated using the evolutionary path planning system and analyses the impact of the fitness function scaling on the quality of the solution. The function scaling decreases the selective pressure, which facilitates leaving the local optimum in the calculation process and further exploration of the solution space. The performed investigations have proved that the use of scaling...