By means of a characterization of compact spaces in terms of open CD*-filters induced by a , a - and open CD*-filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding...By means of a characterization of compact spaces in terms of open CD*-filters induced by a , a - and open CD*-filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding Y as a dense subspace of , YS = {ε |ε is an open CD*-filter that does not converge in Y}, YT = {A|A is a basic open CD*-filter that does not converge in Y}, is the topology induced by the base B = {U*|U is open in Y, U ≠φ} and U* = {F∈Ysw (or YTw)|U∈F}. Furthermore, an arbitrary Hausdorff compactification (Z, h) of a Tychonoff space X?can be obtained from a by the?similar process in Sec.3.展开更多
A microcrystalline Cd(II)-MOF,[Cd(NH_(2)-bdc)(azp)]·DMF(NH_(2)-H2bdc=2-amino-1,4-benzenedicarboxylic acid and azp=4,4′-azopyridine),namely 1-NH_(2)was rationally designed and synthesized as a fluorescent sensor ...A microcrystalline Cd(II)-MOF,[Cd(NH_(2)-bdc)(azp)]·DMF(NH_(2)-H2bdc=2-amino-1,4-benzenedicarboxylic acid and azp=4,4′-azopyridine),namely 1-NH_(2)was rationally designed and synthesized as a fluorescent sensor in the off state utilizing the photo-induced electron transfer(PET)process.The crystal structure of 1-NH_(2)features a porous 2-fold interpenetrated 3D framework with 1D channels decorated with open Lewis basic amino and azo groups for recognizing the target species.Time-dependent density functional theory(TD-DFT)calculations were performed to gain insight into the PET process that induces the fluorescent quenching of 1-NH_(2).The proposed 1-NH_(2)is the first MOF that presents highly selective and sensitive visual turn-on fluorescence detection of glyphosate and Cr^(3+)with very low detection limits of 25 nM and 0.6μM,respectively.The amino moiety in 1-NH_(2)plays a key role for the selective binding of Cr^(3+)to facilitate the sensitivity and selectivity of the detection.The fluorescent enhancement mechanism is associated with the inhibition of the PET process stimulated by the dissociation of the framework of 1-NH_(2)in the presence of glyphosate and Cr^(3+).展开更多
文摘By means of a characterization of compact spaces in terms of open CD*-filters induced by a , a - and open CD*-filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding Y as a dense subspace of , YS = {ε |ε is an open CD*-filter that does not converge in Y}, YT = {A|A is a basic open CD*-filter that does not converge in Y}, is the topology induced by the base B = {U*|U is open in Y, U ≠φ} and U* = {F∈Ysw (or YTw)|U∈F}. Furthermore, an arbitrary Hausdorff compactification (Z, h) of a Tychonoff space X?can be obtained from a by the?similar process in Sec.3.
基金supported by the grant from the Thailand Research Fund:Grant No.BRG5980014.
文摘A microcrystalline Cd(II)-MOF,[Cd(NH_(2)-bdc)(azp)]·DMF(NH_(2)-H2bdc=2-amino-1,4-benzenedicarboxylic acid and azp=4,4′-azopyridine),namely 1-NH_(2)was rationally designed and synthesized as a fluorescent sensor in the off state utilizing the photo-induced electron transfer(PET)process.The crystal structure of 1-NH_(2)features a porous 2-fold interpenetrated 3D framework with 1D channels decorated with open Lewis basic amino and azo groups for recognizing the target species.Time-dependent density functional theory(TD-DFT)calculations were performed to gain insight into the PET process that induces the fluorescent quenching of 1-NH_(2).The proposed 1-NH_(2)is the first MOF that presents highly selective and sensitive visual turn-on fluorescence detection of glyphosate and Cr^(3+)with very low detection limits of 25 nM and 0.6μM,respectively.The amino moiety in 1-NH_(2)plays a key role for the selective binding of Cr^(3+)to facilitate the sensitivity and selectivity of the detection.The fluorescent enhancement mechanism is associated with the inhibition of the PET process stimulated by the dissociation of the framework of 1-NH_(2)in the presence of glyphosate and Cr^(3+).