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Finsler子流形的若干结果
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作者 吴炳烨 《闽江学院学报》 2007年第2期1-5,共5页
研究Finsler子流形的若干性质.首先给出了Finsler流形能等距浸入到高维Minkowski空间中的一个新的简单的必要条件,即任何能等距浸入到Minkowski空间中的Finsler流形必定具有有限一致常数.其次以子流形的法曲率、T-曲率以及一致常数研究... 研究Finsler子流形的若干性质.首先给出了Finsler流形能等距浸入到高维Minkowski空间中的一个新的简单的必要条件,即任何能等距浸入到Minkowski空间中的Finsler流形必定具有有限一致常数.其次以子流形的法曲率、T-曲率以及一致常数研究其象半径,当外围Finsler流形的旗曲率有上界时,得到了象半径估计,它是Riemannian几何中相关结果在Finsler几何中的推广. 展开更多
关键词 FINSLER流形 一致常数 可反常数 T-曲率 法曲率
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Spectroscopic and electrochemical properties of Cu-dicyandiamide complex
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作者 Kai-Xuan Xu Mei-Hong Guo +2 位作者 Ling-Qing Ren Wei Huang Jian-Jun Sun 《Science China Chemistry》 SCIE EI CAS CSCD 2018年第3期360-367,共8页
Dicyandiamide(DICY) is a common ligand that exhibits low toxicity but can irritate the skin and eyes and cause methemoglobinemia on long-term exposure. Crystalline Cu-dicyandiamide(Cu-DICY) was obtained via facile syn... Dicyandiamide(DICY) is a common ligand that exhibits low toxicity but can irritate the skin and eyes and cause methemoglobinemia on long-term exposure. Crystalline Cu-dicyandiamide(Cu-DICY) was obtained via facile synthesis and its molecular structure and theoretical Raman spectra were simulated by using density functional theory(DFT). The results suggested that the Cu^(2+) coordinates with two H_2 O molecules and two different DICY molecules(an imino DICY and an amino DICY). The stability constants of Cu-DICY were calculated, and the electrochemical properties were studied. Two electrochemical redox processes occur in Cu-DICY in an aqueous solution: a reversible reaction with a formal potential of 0.2 V vs.MSE and an irreversible reaction between –0.4 and –1.2 V vs. MSE. The standard rate constant k0 for the reversible reaction was estimated to be 7.6×10^(-3) cm/s. In addition, based on the reversible reaction of Cu-DICY, square wave voltammetry was used to rapidly determine the concentration of Cu(II) and the detection limit was 66.7 μg/L, which satisfies the detection limit requirements for copper in tap water(2 mg/L) as provided by the World Health Organization. 展开更多
关键词 Cu-dicyandiamide density functional theory Raman spectra square wave voltammetry
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