Let the coronas C<sub>n</sub>⊙K<sub>1</sub> be the polygons with one additional end-point for eachvertex.Thom Grace conjectured that C<sub>n</sub>⊙K<sub>1</sub> are ha...Let the coronas C<sub>n</sub>⊙K<sub>1</sub> be the polygons with one additional end-point for eachvertex.Thom Grace conjectured that C<sub>n</sub>⊙K<sub>1</sub> are harmonious for n even.In this paper,aproof of his conjecture is given.展开更多
Photosynthesis is the basis for the survival of organisms in nature;consequently,the fabrication of artificial light-harvesting systems(LHSs)that simulate natural photosynthesis is of significant interest.Recently,a v...Photosynthesis is the basis for the survival of organisms in nature;consequently,the fabrication of artificial light-harvesting systems(LHSs)that simulate natural photosynthesis is of significant interest.Recently,a variety of artificial LHSs have been successfully constructed using fluorescence resonance energy transfer(FRET).However,it is crucial to fabricate artificial LHSs with a sequential energy transfer process when considering that the natural photosynthetic process involves a multistep sequential energy transfer process rather than a simple one-step energy transfer.Moreover,many previously reported LHSs have been used as imaging agents for cell labeling and bioimaging or as catalysts in photocatalytic reactions,showing promise for applications simulating natural photosynthesis.In this review,we have summarized recently published representative work on artificial LHSs.In addition,the application of LHSs in photocatalysis and cell labeling has been described in detail.展开更多
文摘Let the coronas C<sub>n</sub>⊙K<sub>1</sub> be the polygons with one additional end-point for eachvertex.Thom Grace conjectured that C<sub>n</sub>⊙K<sub>1</sub> are harmonious for n even.In this paper,aproof of his conjecture is given.
基金support from the Natural Science Foun-dation of Shandong Province(ZR2020MB018 and ZR2021QB049).
文摘Photosynthesis is the basis for the survival of organisms in nature;consequently,the fabrication of artificial light-harvesting systems(LHSs)that simulate natural photosynthesis is of significant interest.Recently,a variety of artificial LHSs have been successfully constructed using fluorescence resonance energy transfer(FRET).However,it is crucial to fabricate artificial LHSs with a sequential energy transfer process when considering that the natural photosynthetic process involves a multistep sequential energy transfer process rather than a simple one-step energy transfer.Moreover,many previously reported LHSs have been used as imaging agents for cell labeling and bioimaging or as catalysts in photocatalytic reactions,showing promise for applications simulating natural photosynthesis.In this review,we have summarized recently published representative work on artificial LHSs.In addition,the application of LHSs in photocatalysis and cell labeling has been described in detail.