Liquid-Phase Epitaxial Growth of Highly Oriented and Crystalline MOF Thin Films: Post-Synthetic Modification and Different Applications

The studies for this PhD thesis showed the preparation, characterization and application of new-type surface-mounted metal-organic frameworks (SURMOFs). The aims were to: (1) heteroepitaxially grow MOF-on-MOF multilayer systems with huge lattice mismatch; (2) modify azide-based SURMOFs using alkyne-azide click chemistry; (3) chemically pattern SURMOFs using postsynthetic modification (PSM); (4) engineer UHM-3 SURMOFs with quantitative Cu(I) defects using postsynthetic thermal treatment

On the Fourier Spectra of the Infinite Families of Quadratic APN Functions

It is well known that a quadratic function defined on a finite field of odd degree is almost bent (AB) if and only if it is almost perfect nonlinear (APN). For the even degree case there is no apparent relationship between the values in the Fourier spectrum of a function and the APN property. In this article we compute the Fourier spectrum of the new quadranomial family of APN functions. With this result, all known infinite families of APN functions now have their Fourier spectra and hence their nonlinearities computed.Comment: 12 pages, submitted to Adavances in the Mathematics of communicatio

A Noninterior Path following Algorithm for Solving a Class of Multiobjective Programming Problems

Multiobjective programming problems have been widely applied to various engineering areas which include optimal design of an automotive engine, economics, and military strategies. In this paper, we propose a noninterior path following algorithm to solve a class of multiobjective programming problems. Under suitable conditions, a smooth path will be proven to exist. This can give a constructive proof of the existence of solutions and lead to an implementable globally convergent algorithm. Several numerical examples are given to illustrate the results of this paper

Randomized GCUR decompositions

By exploiting the random sampling techniques, this paper derives an efficient randomized algorithm for computing a generalized CUR decomposition, which provides low-rank approximations of both matrices simultaneously in terms of some of their rows and columns. For large-scale data sets that are expensive to store and manipulate, a new variant of the discrete empirical interpolation method known as L-DEIM, which needs much lower cost and provides a significant acceleration in practice, is also combined with the random sampling approach to further improve the efficiency of our algorithm. Moreover, adopting the randomized algorithm to implement the truncation process of restricted singular value decomposition (RSVD), combined with the L-DEIM procedure, we propose a fast algorithm for computing an RSVD based CUR decomposition, which provides a coordinated low-rank approximation of the three matrices in a CUR-type format simultaneously and provides advantages over the standard CUR approximation for some applications. We establish detailed probabilistic error analysis for the algorithms and provide numerical results that show the promise of our approaches

Strange Nonchaotic Attractors From a Family of Quasiperiodically Forced Piecewise Linear Maps

Acknowledgments This work is supported by the National Natural Science Foundation of China (11732014).Peer reviewedPostprin

Concise and Efficient Total Syntheses of Virenamides A and D

Concise total syntheses of linear thiazole-containing peptides virenamides A (1) and D (4), isolated from Australian ascidian Diplosoma virens have been accomplished from Boc-L-valine (6) in 7 steps. A cyclization between thioamide and bromoacetaldehyde was applied to form thiazole ring as a key step

Molecular weaving via surface-templated epitaxy of crystalline coordination networks

One of the dream reactions in polymer chemistry is the bottom-up, self-assembled synthesis of polymer fabrics, with interwoven, one-dimensional fibres of monomolecular thickness forming planar pieces of textiles. We have made a major step towards realizing this goal by assembling sophisticated, quadritopic linkers into surface-mounted metal-organic frameworks. By sandwiching these quadritopic linkers between sacrificial metal-organic framework thin films, we obtained multi-heteroepitaxial, crystalline systems. In a next step, Glaser-Hay coupling of triple bonds in the quadritopic linkers yields linear, interwoven polymer chains. X-ray diffraction studies revealed that this topochemical reaction leaves the MOF backbone completely intact. After removing the metal ions, the textile sheets can be transferred onto different supports and imaged using scanning electron microscopy and atomic-force microscopy. The individual polymer strands forming the two-dimensional textiles have lengths on the order of 200 nm, as evidenced by atomic-force microscopy images recorded from the disassembled textiles