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“The general case of cutting of Generalized Möbius-Listing surfaces and bodies”. Gielis J, Tavkhelidze I, 4Open 3, 7 (2020). http://doi.org/10.1051/FOPEN/2020007
Abstract: The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Transformations, which provide a unifying description of geometrical shapes, as a generalization of the Pythagorean Theorem. The resulting geometrical objects can be used for modeling a wide range of natural shapes and phenomena. The cutting of GML bodies and surfaces, with the Möbius strip as one special case, is related to the field of knots and links, and classifications were obtained for GML with cross sectional symmetry of 2, 3, 4, 5 and 6. The general case of cutting GML bodies and surfaces, in particular the number of ways of cutting, could be solved by reducing the 3D problem to planar geometry. This also unveiled a range of connections with topology, combinatorics, elasticity theory and theoretical physics.
Keywords: A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL)
DOI: 10.1051/FOPEN/2020007
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“The Mӧbius phenomenon in Generalized Mӧbius-Listing bodies with cross sections of odd and even polygons”. Gielis J, Tavkhelidze I, Sn –, 1512-0066 34, 23 (2020)
Keywords: A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL)
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“A note on Generalized Möbius-Listing Bodies”. Gielis J, Tavkhelidze I, , 31 (2023). http://doi.org/10.55060/s.atmps.231115.003
Abstract: Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin
Keywords: P1 Proceeding; Sustainable Energy, Air and Water Technology (DuEL)
DOI: 10.55060/s.atmps.231115.003
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“About “bulky&rdquo, links generated by generalized Möbius-Listing bodies GML2n”. Gielis J, Tavkhelidze I, Ricci PE, Journal of mathematical sciences 193, 449 (2013). http://doi.org/10.1007/S10958-013-1474-7
Abstract: In this paper, we consider the bulky knots and bulky links, which appear after cutting of a Generalized MöbiusListing GMLn2 body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized MöbiusListing surfaces GMLn2 situated in it. The aim of this report is to investigate the number and geometric structure of the independent objects that appear after such a cutting process of GMLn2 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known classification for the standard knots and links.
Keywords: A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL)
DOI: 10.1007/S10958-013-1474-7
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“Generalized Möbius-Listing bodies and the heart”. Gielis J, Tavkhelidze I, Ricci PE, Sn –, 2247-689x 13, 58 (2023)
Abstract: Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. The results can be applied in a wide range of fields in the natural science, and here we propose how they can serve as a model for the heart and the circulatory system.
Keywords: A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL)
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“On means, polynomials and special functions”. Gielis J, Verhulst R, Caratelli D, Ricci PE, Tavkhelidze I, The teaching of mathematics 17, 1 (2014)
Keywords: A1 Journal article; Educational sciences; Sustainable Energy, Air and Water Technology (DuEL)
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“Chemical analysis in metal processing: overview and future needs in refined and ultrapure metals”. Gijbels R, Acta technica Belgica: metallurgie 30, 91 (1991)
Keywords: A3 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Development of a Fourier transform laser microprobe mass spectrometer with external ion source”. Gijbels R, ICR/Ion trap newsletter 30 (1993)
Keywords: A3 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“The many faces of TOF-SIMS for the characterization of solid (sub)surfaces”. Gijbels R, , 101 (2003)
Keywords: P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Oppervlakte en in-diepte analyse via SIMS, SNMS en GDMS”. Gijbels R, Physicalia magazine 14, 49 (1992)
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Einleitung zu den massenspektrometrischen Methoden”. Gijbels R, Adriaens A Schweizerbart, Stuttgart, page 159 (2000).
Keywords: H3 Book chapter; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Modeling of glow discharge ion sources for mass spectrometry: potentials and limitations”. Gijbels R, Bogaerts A, Spectroscopy 9, 8 (1997)
Keywords: A3 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Recent trends in solids mass spectrometry: GDMS and other methods”. Gijbels R, Bogaerts A, Fresenius' journal of analytical chemistry 359, 326 (1997). http://doi.org/10.1007/s002160050581
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Times cited: 5
DOI: 10.1007/s002160050581
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“Recent trends in solids mass spectrometry, with special emphasis on glow discharge mass spectrometry”. Gijbels R, Bogaerts A, , 71 (1996)
Keywords: P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Determination of silicon in natural and pollution aerosols by 14-MeV neutron activation analysis”. Gijbels R, Dams R, Analytica chimica acta 63, 369 (1973). http://doi.org/10.1016/S0003-2670(01)82362-X
Abstract: The determination of silicon via the 28Si(n,p)28 Al reaction by means of 14-MeV neutrons is applied to the analysis of pollution and natural aerosols. A Whatman 41 filter (40 cm2) on which airborne particulate material has been collected is compressed into a 3 × 12.7 mm pellet. Standards are prepared in the same way from clean filters spiked with a silicate solution. After a 50-s irradiation and a 75-s decay time, the sample is counted for 2 min with 5 × 5 NaI(Tl) well detector. The 1.779-MeV photopeak of 28Al is measured with a single channel sealer chain or with a multichannel analyser. The reproducibility, sensitivity and liability to interference from other elements were investigated for both counting systems. The homogeneity of the pellets and the filters was checked. The overall precision of one single-channel determination was estimated to be 3.5% after a 24-h high-volume sampling time. Samples collected in urban, industrial and remote areas with concentrations ranging from 0.05 to 15 μg Si m-3 air were analysed and the results are discussed.
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 4.513
Times cited: 16
DOI: 10.1016/S0003-2670(01)82362-X
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“Atomic mass spectrometry”. Gijbels R, Oksenoid KG Academic Press, London, page 2839 (1995).
Keywords: H3 Book chapter; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Scanning microanalysis”. Gijbels R, Oleshko V s.l., page 427 (1998).
Keywords: H3 Book chapter; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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Gijbels R, van Grieken R (1977) Application of analytical methods for trace elements in geothermal waters : part 1 : Amélie-les-Bains (Eastern Pyrenees). S.l
Keywords: MA3 Book as author; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation)
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Gijbels R, van Grieken R (1985) Trace element geochemistry in thermal waters from the Eastern Pyrenees. S.l
Keywords: MA3 Book as author; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation)
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Gijbels R, van Grieken R, Blommaert W, Van 't dack L, van Espen P, Nullens H, Saelens R (1983) Application of analytical methods for trace elements in geothermal waters : part 2 : Plombières, Bains-les-Bains, Bourbonne (Vosges). S.l
Keywords: MA3 Book as author; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation); Chemometrics (Mitac 3)
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“Application of trace element analysis to geothermal waters”. Gijbels R, van Grieken R, Blommaert W, Vandelannoote R, Van 't dack L, , 429 (1977)
Keywords: P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation)
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“Trace element geochemistry in thermal waters from Plombières and Bains (Vosges)”. Gijbels R, van Grieken R, Blommaert W, Vandelannoote R, Van 't dack L, , 396 (1980)
Keywords: P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation)
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“Trace element geochemistry in thermal waters from Amélie-les-Bains (Eastern Pyrenees, France)”. Gijbels R, van Grieken R, Vandelannoote R, Blommaert W, Van 't dack L, , 123 (1980)
Keywords: P3 Proceeding; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT); AXES (Antwerp X-ray Analysis, Electrochemistry and Speciation)
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“Mass spectrometric analysis of inorganic solids: GDMS and other methods”. Gijbels R, van Straaten M, Bogaerts A, Advances in mass spectrometry 13, 241 (1995)
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Times cited: 12
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“SIMS/TOF-SIMS study of microparticles: surface analysis, imaging and quantification”. Gijbels R, Verlinden G, Geuens I London Institute of Physics, Bristol, page 331 (2000).
Keywords: H1 Book chapter; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
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“Oxygen vacancy ordering in the double-layered Ruddlesden-Popper cobaltite Sm2BaCo2O7-\delta”. Gillie LJ, Hadermann J, Hervieu M, Maignan A, Martin C, Chemistry of materials 20, 6231 (2008). http://doi.org/10.1021/cm8010138
Abstract: A new oxygen-deficient Ruddlesden−Popper (RP) cobaltite Sm2BaCo2O7−δ (δ ≈ 1.0) has been synthesized and the crystal structure elucidated by Rietveld analysis of X-ray powder diffraction (XRD) data and transmission electron microscopy (TEM). The phase crystallizes in a primitive orthorhombic unit cell, with lattice parameters a = 5.4371(4) Å; b = 5.4405(4) Å and c = 19.8629(6) Å, and space group Pnnm. Contrary to other oxygen-deficient cobalt RP phases, the oxygen vacancies are located in the equatorial positions of the [CoO] layers to give an intralayer structure similar to Sr2Mn2O5, which is not usually observed for cobalt-containing materials. The Sm3+ and Ba2+ cations show a strong preference for distinct sites, with the majority of the larger Ba2+ cations situated in the perovskite block layers and Sm3+ cations predominantly in the rock salt layers. Magnetic susceptibility data demonstrate the strong antiferromagnetic (AFM) character of Sm2BaCo2O7−δ.
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 9.466
Times cited: 7
DOI: 10.1021/cm8010138
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“SrMn3O6: an incommensurate modulated tunnel structure”. Gillie LJ, Hadermann J, Pérez O, Martin C, Hervieu M, Suard E, Journal of solid state chemistry 177, 3383 (2004). http://doi.org/10.1016/j.jssc.2004.05.057
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 2.299
Times cited: 19
DOI: 10.1016/j.jssc.2004.05.057
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“Crystallographic and magnetic structures of Y0.8Sr2.2Mn2GaO8-\delta: a new vacancy-ordered perovskite structure”. Gillie LJ, Palmer HM, Wright AJ, Hadermann J, Van Tendeloo G, Greaves C, The journal of physics and chemistry of solids 65, 87 (2004). http://doi.org/10.1016/j.jpcs.2003.08.012
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 2.059
Times cited: 15
DOI: 10.1016/j.jpcs.2003.08.012
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“Synthesis and characterization of the reduced double-layer manganite Sr3Mn2O6+x”. Gillie LJ, Wright AJ, Hadermann J, Van Tendeloo G, Greaves C, Journal of solid state chemistry 175, 188 (2003). http://doi.org/10.1016/S0022-4596(03)00245-7
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 2.299
Times cited: 18
DOI: 10.1016/S0022-4596(03)00245-7
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“Synthesis and characterization of the reduced single-layer manganite Sr2MnO3.5+x”. Gillie LJ, Wright AJ, Hadermann J, Van Tendeloo G, Greaves C, Journal of solid state chemistry 167, 145 (2002). http://doi.org/10.1006/jssc.2002.9636
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 2.299
Times cited: 25
DOI: 10.1006/jssc.2002.9636
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