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971.
Jun Li Christian Mück‐Lichtenfeld Constantin G. Daniliuc Gerald Kehr Gerhard Erker 《Angewandte Chemie (International ed. in English)》2020,59(30):12477-12483
Reaction of the secondary alkynyl(Mes*)PH phosphane 2 with (Fmes)BH2?SMe2 gives the geminal PH/BH frustrated Lewis pair (FLP) 3 . The PH and the BH functions are jointly used in the reduction of carbon monoxide under mild reaction conditions to give the [P]‐CH2‐O‐[B] product. A subsequent cycloaddition sequence results in the liberation of formaldehyde. The FLP 3 reacts with benzonitrile to give a P‐benzamidine, and it couples two isonitriles at the FLP framework. 相似文献
972.
Dr. Jiajia Ma Felix Schäfers Dr. Constantin Daniliuc Dr. Klaus Bergander Prof. Dr. Cristian A. Strassert Prof. Dr. Frank Glorius 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2020,132(24):9726-9732
Lanthanide photocatalysts are much less investigated in synthetic chemistry than rare and expensive late transition metals. We herein introduce GdIII photocatalysis of a highly regioselective, intermolecular [2+2] photocycloaddition/ring-expansion sequence with indoles, which could provide divergent access to cyclopenta[b]indoles and indolines. A simple and commercially available Gd(OTf)3 salt is sufficient for this visible-violet-light-induced transformation. The reaction proceeds either through a transient or start-to-end dearomatization cascade and shows excellent regioselectivity (usually >95:5 r.r.), broad scope (59 examples), good functional group tolerance and facile scale-up under mild, direct visible-light-excitation conditions. Mechanistic investigations reveal that direct excitation of the Gd(OTf)3/indole mixture gives an excited state intermediate, which undergoes the subsequent [2+2] cycloaddition and cyclobutane-expansion cascade. 相似文献
973.
Mamat C Büttner S Trabhardt T Fischer C Langer P 《The Journal of organic chemistry》2007,72(16):6273-6275
A variety of 5-alkylsalicylates, 5-alkyl-2-hydroxy-acetophenones, and 5-alkyl-2-hydroxy-benzophenones was regioselectively prepared by TiCl4 mediated formal [3 + 3] cyclization of 1,3-bis(silyl enol ethers) with 2-alkyl-1,1,3,3-tetraethoxypropanes. 相似文献
974.
Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects:
- equivalence classes of α-invariant K-connections on X
- α-invariant gauge classes of K-connections on X, and
- α-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic K ?-bundle Q → X and a K-reduction P of Q (when X has an α-invariant complex structure).
975.
Let (t n ) be a sequence of nonnegative real numbers tending to ∞, such that 1≤t n+1?t n ≤α for all natural numbers n and some positive α. We prove that a strongly continuous semigroup {T(t)} t≥0, acting on a Hilbert space H, is uniformly exponentially stable if $$\sum_{n=0}^\infty\varphi\bigl(\bigl|\bigl\langle T(t_n)x, y\bigr\rangle\bigr|\bigr)<\infty, $$ for all unit vectors x, y in H. We obtain the same conclusion under the assumption that the inequality $$\sum_{n=0}^\infty\varphi\bigl(\bigl|\bigl\langle T(t_n)x, x^\ast\bigr\rangle\bigr|\bigr)<\infty, $$ is fulfilled for all unit vectors x∈X and x ?∈X ?, X being a reflexive Banach space. These results are stated for functions φ belonging to a special class of functions, such as defined in the second section of this paper. We conclude our paper with a Rolewicz’s type result in the continuous case on Hilbert spaces. 相似文献
976.
This paper introduces a new type of dynamic programming PDE for optimal control problems with performance criteria involving
multiple integrals. The main novel feature of the multitime dynamic programming PDE, relative to the standard Hamilton-Jacobi-Bellman
PDE, is that it is connected to the multitime maximum principle and is of divergence type. Introducing a generating vector
field for the maximum value function, we present an interesting and useful connection between the multitime maximum principle
and the multitime dynamic programming, characterizing the optimal control by means of a multitime Hamilton-Jacobi-Bellman
(divergence) PDE that may be viewed as a feedback law. Section 1 recalls the multitime maximum principle. Section 2 shows
how a multitime control dynamics determines the multitime Hamilton-Jacobi-Bellman PDE via a generating vector field of the
value function. Section 3 gives an example of two-time dynamics with nine velocities proving that our theory works well. Section
4 shows that the Hamilton PDEs are characteristic PDEs of multitime Hamilton-Jacobi PDE and that the costates in the multitime
maximum principle are in fact gradients of the components of the generating vector field. 相似文献
977.
We compute the Hodge numbers for the quotients of complete intersection Calabi‐Yau three‐folds by groups of orders divisible by 4. We make use of the polynomial deformation method and the counting of invariant Kähler classes. The quotients studied here have been obtained in the automated classification of V. Braun. Although the computer search found the freely acting groups, the Hodge numbers of the quotients were not calculated. The freely acting groups, G, that arise in the classification are either or contain , , or as a subgroup. The Hodge numbers for the quotients for which the group G contains or have been computed previously. This paper deals with the remaining cases, for which or . We also compute the Hodge numbers for 99 of the 166 CICY's which have quotients. 相似文献
978.
Livia Ioan Paul O. Stǎnescu Constantin Drăghici Anamaria Zaharia Andrei Sârbu 《Journal of Macromolecular Science: Physics》2015,54(3):316-328
The effect of hydrophilic bentonite addition on the thermogelation properties of aqueous solutions of poly(N-isopropylacrylamide)–poly(ethylene glycol)–poly(N-isopropylacrylamide) (PNIPAM-PEG-PNIPAM) triblock copolymers of various compositions and molecular weights was investigated. Dynamic rheometry and differential scanning calorimetry (DSC) measurements showed that increasing concentrations of clay added to 20 wt.% polymer aqueous solutions caused a decrease of the temperature at which the viscosity starts increasing, while the temperature corresponding to the maximum endothermic effect due to the PNIPAM chain dehydration remained practically unchanged. The storage modulus, G′, increased with clay concentration for shorter PNIPAM chain triblock copolymers, while an opposite situation occurred in the case of the block copolymer with the longest PNIPAM block. For bentonite concentrations above 1 wt.%, G′ was larger than the viscous modulus, G″, at temperatures higher than the phase separation temperature, indicating a predominantly elastic character of the resulting composite hydrogels. These findings were explained through the presence of polymer–clay interactions occurring mainly through the PEG blocks. 相似文献
979.
Andra-Rada Iurian Arsenio Toloza Joseph Adu-Gyamfi Constantin Cosma 《Journal of Radioanalytical and Nuclear Chemistry》2013,298(3):1857-1863
The 7Be approach in estimating the erosion rates is based on the assumption that the deposition of 7Be fallout associated with the erosive event is spatially uniform. The objective of the present work was to verify this assumption by assessing the influence of heavy rainfalls on the 7Be spatial distribution in Seibersdorf soils, Austria. Incremental and bulk soil depth profiles were collected from a flat site, undisturbed for the last 9 months prior sampling and with no evidence of erosion or deposition after the occurrence of heavy rains (>30 mm day?1). The mean value of the 7Be areal activities (Bq m?2) measured at 10 different points from the selected area was 312 Bq m?2. This value corresponded to a total rainfall of 295 mm within the last 5 months prior sampling, considering that the highest mass activity of 7Be at soil surface will decay below the minimum detectable activity after 5 months’ time. The resulted coefficient of variation had a value of 19 % showing acceptable spatial variability of 7Be fallout connected with individual storm events on a local scale. 相似文献
980.
Kais Elghniji Constantin Virlan Elimame Elaloui Aurel Pui 《Phosphorus, sulfur, and silicon and the related elements》2013,188(12):806-821
AbstractTunisian industrial phosphoric acid H3PO4 was supported on silica gel SiO2 (SIPA) to catalyze the hydrolysis reaction of aqueous alkaline sodium borohydride (NaBH4). The SiO2 was produced from purified quartz sand using alkali fusion-acidification chemical process. The BET surface area results indicate that the prepared silica gel could reach a specific surface area up to 585 m2/g. The addition of PO3H2 functional groups resulted in an increase of surface acidity of SiO2 catalyst as shown by FT-IR and DTA-DTG spectra. The total acidity of SIPA catalyst was determined by titration to be 2.8?mmol H+/g. SEM/EDS maps reveal the distribution of heavy metals on the silica surface. The effect of supported PO3H2 functional groups and heavy metals on the NaBH4 hydrolysis reaction was studied for different ratios of SIPA catalyst to NaBH4. The sample 12SIPA/NaBH4 leads to a very high hydrogen generation rate (up to 90%). The activation energy of hydrogen generation by NaBH4 hydrolysis was 25.7?kJ mol?1. 相似文献