The relations between ultracompactness of topological spaces and ultraClosedness of mappings, are further studied in this paper. The properties of ultraclosed mappings are displayed. An expression of D-limits of nets ...The relations between ultracompactness of topological spaces and ultraClosedness of mappings, are further studied in this paper. The properties of ultraclosed mappings are displayed. An expression of D-limits of nets in a space is given by using closure operation. The notions of ultracontinuity and ultraperfectness of mappings are presented on the basis of [6] and [9], and relations between these mappings are discussed. The main work of this paper is the study of cartesian products and diagonals of mapping. And a theory on ultraclosed mappings is set up.展开更多
On the basis of reported experimental vapor-liquid equilibrium (VLE) data of NH3-1-ethyl-3-methylimidazolium acetate (NH3-[Emim]Ac), NH3-1-butyl-3-methylimidazolium tetrafluoroborate (NH3-[Bmim][BF4]), NH3-1,3-d...On the basis of reported experimental vapor-liquid equilibrium (VLE) data of NH3-1-ethyl-3-methylimidazolium acetate (NH3-[Emim]Ac), NH3-1-butyl-3-methylimidazolium tetrafluoroborate (NH3-[Bmim][BF4]), NH3-1,3-dimethylimidazolium dimethyl phosphate (NH3-[Mmim]DMP) and NH3-1-ethyl-3-methylimidazolium ethylsulfate (NH3-[Emim]EtOSO3) binary systems, the interaction parameters of 14 new groups have been regressed by means of the UNIFAC model. To validate the reliability of the method, these parameters have been used to calculate the VLE data with the average relative deviation of pressures of less than 9.35%. The infinite dilution activity coefficient ( γ1∞ ) and the absorption potential ( φ1 ) are important evaluation criterions of the affinity between working pair species of the absorption cycle. The UNIFAC model is implemented to predict the values of and φ1 of t6 sets of NH3-ionic liquid (1L) systems. The work found that the φ1 gradually increases following the impact order: φ1([Cnmim][BF4])〈φ1([Cnmim]EtOSO3)〈φ1([Cnmim]DMP)〈φ1([Cnmim]Ac) (n= 1, 2, 3, … ) at a given cation of IL species and constant temperature, and φ1([Mmim]X)〈φ1([Emim]X)〈φ1([Pmim]X)〈 φ1([Bmim]X)(X= Ac, [BF4], DMP or EtOSO3) at a given anion of IL species and constant temperature. Furthermore, the φ1 gradually increases with increasing temperature. Then, it could be concluded that the working pair NH3-[BmimlAc has the best potential research value relatively.展开更多
文摘The relations between ultracompactness of topological spaces and ultraClosedness of mappings, are further studied in this paper. The properties of ultraclosed mappings are displayed. An expression of D-limits of nets in a space is given by using closure operation. The notions of ultracontinuity and ultraperfectness of mappings are presented on the basis of [6] and [9], and relations between these mappings are discussed. The main work of this paper is the study of cartesian products and diagonals of mapping. And a theory on ultraclosed mappings is set up.
基金Supported by the National Natural Science Foundation of China(50890184,51276010)the National Basic Research Program of China(2010CB227304)
文摘On the basis of reported experimental vapor-liquid equilibrium (VLE) data of NH3-1-ethyl-3-methylimidazolium acetate (NH3-[Emim]Ac), NH3-1-butyl-3-methylimidazolium tetrafluoroborate (NH3-[Bmim][BF4]), NH3-1,3-dimethylimidazolium dimethyl phosphate (NH3-[Mmim]DMP) and NH3-1-ethyl-3-methylimidazolium ethylsulfate (NH3-[Emim]EtOSO3) binary systems, the interaction parameters of 14 new groups have been regressed by means of the UNIFAC model. To validate the reliability of the method, these parameters have been used to calculate the VLE data with the average relative deviation of pressures of less than 9.35%. The infinite dilution activity coefficient ( γ1∞ ) and the absorption potential ( φ1 ) are important evaluation criterions of the affinity between working pair species of the absorption cycle. The UNIFAC model is implemented to predict the values of and φ1 of t6 sets of NH3-ionic liquid (1L) systems. The work found that the φ1 gradually increases following the impact order: φ1([Cnmim][BF4])〈φ1([Cnmim]EtOSO3)〈φ1([Cnmim]DMP)〈φ1([Cnmim]Ac) (n= 1, 2, 3, … ) at a given cation of IL species and constant temperature, and φ1([Mmim]X)〈φ1([Emim]X)〈φ1([Pmim]X)〈 φ1([Bmim]X)(X= Ac, [BF4], DMP or EtOSO3) at a given anion of IL species and constant temperature. Furthermore, the φ1 gradually increases with increasing temperature. Then, it could be concluded that the working pair NH3-[BmimlAc has the best potential research value relatively.