Abstract Three binuclear species [LCoIII2(μ‐Pz)2](ClO4)3(1), [LNiII2(CH3OH)2Cl2]ClO4(2), and [LZnII2Cl2]PF6(3) supported by the deprotonated form of the ligand 2,6‐bis[bis(2‐pyridylmethyl) amino‐methyl]‐4‐methylphenol were synthesized, structurally characterized as solids and in solution, and had their electrochemical and spectroscopic behavior established. Species1–3had their water reduction ability studied aiming to interrogate the possible cooperative catalytic activity between two neighboring metal centers. Species1and2reduced H2O to H2effectively at an applied potential of −1.6 VAg/AgCl, yielding turnover numbers of 2,820 and 2,290, respectively, after 30 minutes. Species3lacked activity and was used as a negative control to eliminate the possibility of ligand‐based catalysis. Pre‐ and post‐catalytic data gave evidence of the molecular nature of the process within the timeframe of the experiments. Species1showed structural, rather than electronic cooperativity, while species2displayed no obvious cooperativity. DFT methods complemented the experimental results determining plausible mechanisms.
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The inverse scattering transform for weak Wigner–von Neumann type potentials *
Abstract In the context of the Cauchy problem for the Korteweg–de Vries equation we extend the inverse scattering transform to initial data that behave at plus infinity like a sum of Wigner–von Neumann type potentials with small coupling constants. Our arguments are based on the theory of Hankel operators.
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- Award ID(s):
- 2009980
- PAR ID:
- 10352251
- Date Published:
- Journal Name:
- Nonlinearity
- Volume:
- 35
- Issue:
- 5
- ISSN:
- 0951-7715
- Page Range / eLocation ID:
- 2175 to 2191
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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