Publikationen an der Fakultät für Mathematik und Naturwissenschaften ab 2019

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Fern, Florian; Füßl, Roland; Eichfelder, Gabriele; Manske, Eberhard; Kühnel, Michael
Coordinate transformation and its uncertainty under consideration of a non-orthogonal coordinate base. - In: Measurement science and technology, ISSN 1361-6501, Bd. 32 (2021), 4, 045001, insges. 6 S.

Nanopositioning and nanomeasuring machines are 3D coordinate measuring systems with nanometer precision at measurement volumes in the cubic centimeter range. The coordinate base is formed by an interferometer system with a common mirror corner. The orthogonality deviations of the mirror corner require a coordinate transformation of the measuring axes. The uncertainty of the coordinate transformation must be taken into account in the overall measurement uncertainty budget. Starting from a complete transformation model, the result of model simplications on the transformation behaviour is analysed and discussed.



https://doi.org/10.1088/1361-6501/aba3f5
Liang, Zhenyan; Yang, Mingzhi; Wang, Shouzhi; Chang, Bin; Tu, Huayao; Shao, Yongliang; Zhang, Baoguo; Zhao, Huaping; Lei, Yong; Shen, Jianxing; Wu, Yongzhong; Hao, Xiaopeng
Hollow submicrospheres of trimetallic selenides for high-capacity lithium and sodium ion batteries. - In: The chemical engineering journal, ISSN 1873-3212, Bd. 405 (2021), 126724

Highly conductive metal selenides have drawn increasing attention in the field of energy storage. Unfortunately, their application is severely limited by the inferior capacity contribution as well as unsatisfactory cycling stability. Here, we propose a simple and practical way to prepare hollow nickel-cobalt-manganese selenides (NCMSe) submicrospheres. The NCMSe submicrospheres exhibit rich redox reactions during the reaction process into which much more alkali metal ions can be inserted, leading to high reversible capacity and their hollow structure facilitates the contact between the active material and electrolyte to accelerate the redox kinetics. Benefiting from these features, the hollow NCMSe submicrospheres show superior Li-storage capacity (1600 mAh g^-1 after 1000 cycles at 2 A g^-1) and Na-storage capacity (695 mAh g^-1 after 200 cycles at 0.1 A g^-1). This work offers a novel insight to the remarkable electrochemical performance anode materials for both lithium and sodium ion batteries.



https://doi.org/10.1016/j.cej.2020.126724
Xu, Rui; Du, Lei; Adekoya, David; Zhang, Gaixia; Zhang, Shanqing; Sun, Shuhui; Lei, Yong
Well-defined nanostructures for electrochemical energy conversion and storage. - In: Advanced energy materials, ISSN 1614-6840, Bd. 11 (2021), 15, 2001537, insges. 53 S.

Electrochemical energy conversion and storage play crucial roles in meeting the increasing demand for renewable, portable, and affordable power supplies for society. The rapid development of nanostructured materials provides an alternative route by virtue of their unique and promising effects emerging at nanoscale. In addition to finding advanced materials, structure design and engineering of electrodes improves the electrochemical performance and the resultant commercial competitivity. Regarding the structural engineering, controlling the geometrical parameters (i.e., size, shape, hetero-architecture, and spatial arrangement) of nanostructures and thus forming well-defined nanostructure (WDN) electrodes have been the central aspects of investigations and practical applications. This review discusses the fundamental aspects and concept of WDNs for energy conversion and storage, with a strong emphasis on illuminating the relationship between the structural characteristics and the resultant electrochemical superiorities. Key strategies for actualizing well-defined features in nanostructures are summarized. Electrocatalysis and photoelectrocatalysis (for energy conversion) as well as metal-ion batteries and supercapacitors (for energy storage) are selected to illustrate the superiorities of WDNs in electrochemical reactions and charge carrier transportation. Finally, conclusions and perspectives regarding future research, development, and applications of WDNs are discussed.



https://doi.org/10.1002/aenm.202001537
Schweser, Thomas; Stiebitz, Michael
Partitions of hypergraphs under variable degeneracy constraints. - In: Journal of graph theory, ISSN 1097-0118, Bd. 96 (2021), 1, S. 7-33

https://doi.org/10.1002/jgt.22575
Esterhuizen, Willem; Worthmann, Karl; Streif, Stefan
Recursive feasibility of continuous-time model predictive control without stabilising constraints. - In: IEEE control systems letters, ISSN 2475-1456, Bd. 5 (2021), 1, S. 265-270

https://doi.org/10.1109/LCSYS.2020.3001514
Behrens, Arne; Bosch, Martí; Hentschel, Martina; Sinzinger, Stefan
Deformed microcavities with very high Q-factors and directional farfield emission. - In: EOS Annual Meeting (EOSAM 2020), (2020), 01006, S. 1-2

We report the design and optimized fabrication of deformed whispering gallery mode resonators in silica with solely ICP-RIE. This allows us to control the morphology of the resonators more freely and results in low surface roughness. The light was coupled into the resonator using a state of the art tapered fiber approach and we determined the Q-factor in the range of 10^5



https://doi.org/10.1051/epjconf/202023801006
Mendl, Alexander; Köhler, Michael; Boskovic, Dusan
Fast reaction screening combining segmentet flow microfluidics and surface enhanced Raman spectroscopy. - In: 23rd International Conference on Miniaturized Systems for Chemistry and Life Sciences (MicroTAS 2019), (2020), S. 1368-1369

Liu, Jing; Zhu, Chuhong; Pan, Qijun; Meng, Guowen; Lei, Yong
Ag-nanoparticles-decorated Ge-nanowhisker grafted on carbon fiber cloth as flexible and effective SERS substrates. - In: ChemistrySelect, ISSN 2365-6549, Bd. 5 (2020), 27, S. 8338-8343

Three-dimensional (3D) flexible surface enhanced Raman scattering (SERS) substrates of silver nanoparticles (Ag-NPs) decorated Germanium nanowhiskers (Ge-NWHKs) grafted on carbon fiber cloth (CFC) (denoted as Ag-NPsGe-NWHKs@CFC) are constructed via chemical vapor deposition growth of high-density Ge-NWHKs on CFC and then assembly of Ag-NPs on the Ge-NWHKs by galvanic displacement. Ordered 3D framework of Ge-NWHKs grafted flexible CFC impels the formation of large amounts of Ag-NPs with homogenous distribution via spontaneous reduction of Ag+ ions. Thus, the Ag-NPs@Ge-NWHKs@CFC SERS substrates present ultra-high sensitivity, good reproducibility, and high flexibility. This SERS sensor has achieved a detection limit of 1 pM for Rhodamine 6G and 0.1 nM for thiram respectively. The as-fabricated SERS substrates show promising potential for applications in rapid detection of trace organic pollutants in the aquatic environment.



https://doi.org/10.1002/slct.202001290
Ivanov, Svetlozar; Link, Steffen; Dimitrova, Anna; Krischok, Stefan; Bund, Andreas
Electrochemical nucleation of silicon in ionic liquid-based electrolytes. - In: Meeting abstracts, ISSN 2151-2043, Bd. MA2020-01 (2020), 19, 1181

https://doi.org/10.1149/MA2020-01191181mtgabs
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten
Invariance of the essential spectra of operator pencils. - In: Operator theory, operator algebras and their interactions with geometry and topology, (2020), S. 203-219