论文标题

部分可观测时空混沌系统的无模型预测

Deposition of nanosized amino acid functionalized bismuth oxido clusters on gold surfaces

论文作者

Morgenstern, Annika, Thomas, Rico, Sharma, Apoorva, Weber, Marcus, Selyshchev, Oleksandr, Milekhin, Ilya, Dentel, Doreen, Gemming, Sibylle, Tegenkamp, Christoph, Zahn, Dietrich R. T., Mehring, Michael, Salvan, Georgeta

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

Bismuth compounds are of growing interest with regard to potential applications in catalysis, medicine and electronics, for which their environmentally benign nature is one of the key factors. The most common starting material is bismuth nitrate, which easily hydrolyses to give a large number of condensation products. The so-called bismuth subnitrates are composed of bismuth oxido clusters of varying composition and nuclearity. One reason that hampers the further development of bismuth oxido-based materials, however is the low solubility of the subnitrates, which makes targeted immobilisation on substrates challenging. We present an approach towards solubilisation of bismuth oxido clusters by introducing an amino carboxylate as functional group and a study of the growth mode of these atom-precise nanoclusters on gold surfaces. For this purpose the bismuth oxido cluster [Bi38O45(NO3)20(dmso)28](NO3)4*4dmso (dmso=dimethyl sulfoxide) was reacted with the sodium salt of tert-butyloxycabonyl(Boc)-protected phenylalanine (Phe) to give the soluble and chiral nanocluster [Bi38O45(Boc-Phe)24(dmso)9]. The hydrodynamic diameter of the cluster was estimated with (1.4-1.6) nm (in CH3CN) and (2.2 nm-2.9) nm (in Ethanol) based on dynamic light scattering (DLS). The full exchange of the nitrates by the amino carboxylates was proven by NMR and FTIR as well as elemental analysis (EA) and XPS. The solubility of the bismuth oxido cluster in a protic as well as an aprotic polar organic solvent and the growth mode of the clusters on Au upon spin-, dip-, and drop-coating on gold surfaces were studied. Successful deposition of bismuth oxido cluster was proven by powder XRD, FTIR, and XPS while the microstructure of the resulting films was investigated as a function of the deposition method and the solvent used by SEM, AFM, and optical microscopy.

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