Studies in bicyclo[3.1.0]hexane methanolysis. Ring opening of activated cyclopropanes under acidic and basic conditions

A bicyclo[3.1.0]hexane, with one cyclopropane carbon flanked by a ketone and an ester or an aldehyde, undergoes methanolysis with cleavage of one of the two activated cyclopropane bonds, depending on the reaction conditions. Acidic conditions yield primarily or exclusively a 4-methoxycyclohexane, while basic conditions yield a 3-methoxymethylcyclopentanone.     

A silanediol inhibitor of the metalloprotease thermolysin: synthesis and comparison with a phosphinic acid inhibitor

A silanediol inhibitor of the metalloprotease thermolysin was prepared for comparison to a known phosphinic acid inhibitor, providing the first comparison of these second-row element based transition-state analogues. Inhibition of thermolysin by the silanediol (K(i) = 41 nM) was comparable to that of the phosphinic acid (K(i) = 10 nM) even though the silanediol is uncharged and thereby lacks the intrinsic Coulombic attraction of the phosphinate anion to the active-site zinc cation. This silanediol protease inhibitor is the least sterically encumbered example prepared to date and, therefore, the most prone toward polymerization. Hydrolysis of a difluorosilane intermediate to the silanediol leads cleanly to a monomeric product.     

α-Alkyl-α-aminosilanes: Synthesis via Alkylation and Hydrosilylation

The readily available aminomethylsilanes can be utilized to prepare the less available α-alkyl-α-aminosilanes. Versatile t-butoxy-carbonal (Boc) derivatives can be metalated between nitrogen and silicon, and then alkylated by an electrophile at this position. Two alternative procedures were also developed, including an aza-reverse-Brook rearrangement of metalated N-silylcarbamates and hydrosilylation of N-alkenylcarbamates. © 1997 by John Wiley & Sons, Ltd.     

Silanediols: A New Class of Potent Protease Inhibitors

Transition state analogues of the peptide hydrolysis intermediate can take the form of complex silanediols such as 1 , which inhibits angiotensin-converting enzyme (ACE) at nanomolar concentrations. In contrast, earlier investigation of enzyme inhibition with simple silanediols and silanetriols showed them to be inactive.     

Macroexpansion methodology: an efficient eight unit ring expansion

An efficient eight unit ring expansion method which is postulated to proceed by either a [5,5] or consecutive [3,3] sigmatropic shifts is described.     

Simple Zeros of the Riemann Zeta-Function

Assuming the Riemann Hypothesis, Montgomery showed by meansof his pair correlation method that at least two-thirds of thezeros of Riemann's zeta-function are simple. Later he and Taylorimproved this to 67.25 percent and, more recently, Cheer andGoldston increased the percentage to 67.2753. Here we proveby a new method that if the Riemann and Generalized LindelöofHypotheses hold, then at least 70.3704 percent of the zerosare simple and at least 84.5679 percent are distinct. Our methoduses mean value estimates for various functions defined by Dirichletseries sampled at the zeros of the Riemann zeta-function. 1991Mathematics Subject Classification: 11M26.     

Photoreactivity of 2-pyridones with furan, benzene, and naphthalene. Inter- and intramolecular photocycloadditions

Pyridones, well-known for their ability to photodimerize, have been found to undergo [4 + 4] photocycloaddition with furan and naphthalene but not with benzene. In some cases these reactions can be highly regio- and stereospecific. Intramolecular reaction with furan produces both cis and trans [4 + 4] products. The cycloaddition with naphthalene can occur both inter- and intramolecularly. The intermolecular reaction yields primarily the cis isomer, whereas the trans isomer is the major product from the intramolecular reaction. A mixture of 4-methoxy-2-pyridone and 2-methoxynaphthalene that could form up to eight regio- and stereoisomers forms largely one [4 + 4] product.