Total synthesis of serofendic acids A and B employing tin-free homoallyl-homoallyl radical rearrangement

Total syntheses of serofendic acids A (1a) and B (1b) are described. The key strategic element of the approach involves the novel tin-free homoallyl-homoallyl radical rearrangement of 5 for the construction of bicyclo[2.2.2]octane ring system 4. In addition, the conversion of methyl atisirenoate 2 to serofendic acids A (1a) and B (1b) was achieved on the basis of the Michael reaction of sodium thiomethoxide.[reaction: see text]     

Rhodium(I)-catalyzed silylation of aryl halides with triethoxysilane: practical synthetic route to aryltriethoxysilanes

[reaction: see text] The specific silylation of aryl iodides and bromides with triethoxysilane (EtO)(3)SiH in the presence of NEt(3) and a catalytic amount of [Rh(cod)(MeCN)(2)]BF(4) provides the corresponding aryltriethoxysilanes in high yield.     

Trudinger type inequalities in and their best exponents

We study Trudinger type inequalities in and their best exponents . We show for , ( is the surface area of the unit sphere in ), there exists a constant such that

for all . Here is defined by

It is also shown that with is false, which is different from the usual Trudinger's inequalities in bounded domains.

     

Functionalization on silica gel with allylsilanes. A new method of covalent attachment of organic functional groups on silica gel

Treatment of an (allyl)organosilane with silica gel in refluxing toluene brought about deallylation forming an Si-O-Si bond with the silicon on the silica gel. This Si-O-Si bond formation provides us with a new reliable method for the functionalization of a silica gel surface.