We shall give natural generalized solutions of Hadamard and tensor products equations for matrices by the concept of the Tikhonov regularization combined with the theory of reproducing kernels.
A novel sextuple hydrogen-bonding (HB) self-assembly molecular heterodimer bearing an iridium complex as the indicator dye and two carbazoles as the reference dye, namely 6HB-Irbt-Cz, was synthesized, and its molecu...A novel sextuple hydrogen-bonding (HB) self-assembly molecular heterodimer bearing an iridium complex as the indicator dye and two carbazoles as the reference dye, namely 6HB-Irbt-Cz, was synthesized, and its molecular structure was confirmed by ^1H NMR, ^13CNMR, TOF-MS and 2D NMR. Because of the inefficient energy transfer process between the carbazole and iridium complex units, 6HB-Irbt-Cz exhibits distinct fluorescence/ phosphorescence dual emission in neat film state. More importantly, the neat film sample of 6HB-Irbt-Cz could display linear ratiometric optical response toward oxygen in the full oxygen concentration range from 0 to 100 vol%, together with good stability, reversibility and rapid response-recovery times. Note that this represents the first discovery of neat-film-based oxygen sensor capable of showing strictly linear ratiometric Stem-Volmer behavior in the oxygen concentration of 0- 100 vol%.展开更多
文摘We shall give natural generalized solutions of Hadamard and tensor products equations for matrices by the concept of the Tikhonov regularization combined with the theory of reproducing kernels.
基金We acknowledge the financial support for this work by the National Natural Science Foundation of China (No. 21372168).
文摘A novel sextuple hydrogen-bonding (HB) self-assembly molecular heterodimer bearing an iridium complex as the indicator dye and two carbazoles as the reference dye, namely 6HB-Irbt-Cz, was synthesized, and its molecular structure was confirmed by ^1H NMR, ^13CNMR, TOF-MS and 2D NMR. Because of the inefficient energy transfer process between the carbazole and iridium complex units, 6HB-Irbt-Cz exhibits distinct fluorescence/ phosphorescence dual emission in neat film state. More importantly, the neat film sample of 6HB-Irbt-Cz could display linear ratiometric optical response toward oxygen in the full oxygen concentration range from 0 to 100 vol%, together with good stability, reversibility and rapid response-recovery times. Note that this represents the first discovery of neat-film-based oxygen sensor capable of showing strictly linear ratiometric Stem-Volmer behavior in the oxygen concentration of 0- 100 vol%.