Desorption of dimethylformamide from Zn4O(C8H4O4)3 framework

Both dimethylformamide (DMF) and diethylformamide (DEF) are important solvents for the synthesis of Zn₄O(C₈H₄O₄)₃ framework (MOF-5). It is generally recognized that DMF molecules can be completely displaced by CH₂Cl₂ during the synthesis of MOF-5. Herein, however, it was found that the DMF molecules inside the pores of the MOF-5 framework cannot be displaced by CH₂Cl₂. The desorption of the DMF molecules from the pores, which requires a temperature of 100 °C or above, is the first order with activation energy of 56.38 kJ/mol. In contrast, DEF molecules can be completely displaced by CH₂Cl₂ during the synthesis of MOF-5, because DEF molecules cannot penetrate into the pores of the MOF-5 paste.     

模糊均衡问题的求解及应用

根据实际均衡问题研究的需要,给出了模糊向量、模糊值函数、模糊矩阵等新概念,建立了模糊均衡问题的数学模型,即模糊线性互补问题。在引入新的模糊期望的基础上,研究了其性质,并据此给出了模糊线性互补问题的一种确定型等价式及此类问题的均衡解的概念。用实例说明了所提模型和方法的合理性及应用前景。