Surgical reduction: N‐Heterocyclic carbene–borane complexes such as depicted are neutral, organic soluble analogues of borohydride anions with a weak hydridic character, compatible with organometallic catalysis. They are applicable for surgical reductions in complex, multifunctional molecules.
Selective mixed coupling of carboxylic acids (II). — photolysis of unsymmetrical diacylperoxides with alkenyl-, halo-, keto-, carboxyl-groups and a chiral α-carbon. Comparison with the mixed kolbe electrolysis
作者:Michael Feldhues、Hans J. Schäfer
DOI:10.1016/s0040-4020(01)97195-9
日期:1985.1
cholanoyl or 3- and 4-carboxyalkanoyl peroxides can be coupled (40 – 70 %). The α-chiral diacyl peroxide ls undergoes the photochemical coupling reaction with 80 % retention of its configuration. The photolysis of diacyl peroxides at −78° C proves to be a favorable supplement of the Kolbe-electrolysis in cases, where the electrolysis fails or produces low yields.
作者:Jack E. Baldwin、Robert M. Adlington、Jeffery C. Bottaro、Jayant N. Kolhe、Ian M. Newington、Matthew W.D. Perry
DOI:10.1016/s0040-4020(01)87648-1
日期:1986.1
The lithium salts of trityl- and diphenyl-4-pyridylmethyl-hydrazones of both aldehydes and ketones react with electrophiles (alkyl halides, aldehydes, ketones, crotonates) at low temperature to form C-trapped azo compounds ; these Intermediates decompose homolytically with loss of nitrogen below room temperature and can be diverted in a synthetically useful way to alkanes, alkenes, alcohols or saturated
A new and practical method of decarboxylation: photosensitized decarboxylation of N-acyloxyphthalimides via electron-transfer mechanism
作者:Keiji. Okada、Kazushige. Okamoto、Masaji. Oda
DOI:10.1021/ja00234a047
日期:1988.12
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
作者:Jeffrey C. Lagarias、Yang Wang
DOI:10.1007/bf02510658
日期:2000.3
A refinable function phi(x) : R-n --> R or, more generally, a refinable function vector Phi(x) = [phi(1)(x),..., phi(r)(x)](T) is an L-1 solution of a system of (vector-valued) refinement equations involving expansion by a dilation matrix A, which is an expanding integer matrix. A refinable function vector is called orthogonal if phi(j)(x - alpha) : alpha epsilon Z(n), 1 less than or equal to j less than or equal to r} form an orthogonal set of functions in L-2(R-n). Compactly supported orthogonal refinable functions and function vectors can be used to construct orthonormal wavelet and multi-wavelet buses of L-2(R-n). In this paper we give ct comprehensive set of necessary and sufficient conditions for the orthogonality of compactly supported refinable functions and refinable function vectors.