Metal-Organic Framework Nanoparticles with Universal Dispersibility through Crown Ether Surface Coordination for Phase-Transfer Catalysis and Separation Membranes

Dispersing metal-organic framework (MOF) solids in stable colloids is crucial for their availability and processibility. Herein, we report a crown ether surface coordination approach for functionalizing the surface-exposed metal sites of MOF particles with amphiphilic carboxylated crown ether (CE^C). The surface-bound crown ethers significantly improve MOF solvation without compromising the accessible voids. We demonstrate that CE^C-coated MOFs exhibit exceptional colloidal dispersibility and stability in 11 distinct solvents and six polymer matrices with a wide range of polarities. The MOF-CE^C can be instantaneously suspended in immiscible two-phase solvents as an effective phase-transfer catalyst and can form various uniform membranes with enhanced adsorption and separation performance, which highlights the effectiveness of crown ether coating.     

带跳过程的亚式期权的定价

本文研究了固定敲定价格亚式期权的定价问题.利用Chen和Lyuu[1]的近似分析,获得了完备市场下亚式期权下界的精确表达,推广了文献[4]中的结果到非时齐Poisson跳的广义Black-Scholes模型中,本文模型更符合实际市场规律.