Phase Transfer Catalysis Preparation of Arvl,Thiocyanates

Phase transfer catalvsis, PTC, has become a common preparative method in organic chemistry. Numerous aliphatic substitution reactions have been performed yielding cvanides,¹ azides,² thiocyanates,³ ethers,⁴ and many other types of substitution products.¹     

Beyond the x-K relations

Explicit formulae are given for all off-diagonal 1–1 and 2–2 resonance terms in the vibrational hamiltonian following the first contact transformation. Such formulae are needed to test the quantitative accuracy of the generalized x-K relation recently published by Della Valle. These formulae are used in a test calculation for linear HCN and DCN and are found only modestly to improve the predicted energy levels for the former, but dramatically improve those of the latter.     

Erratum to: Tensionless contact of a finite circular plate

In the electronic version of the original article, the issue number shown in the header of the article opening page was wrong. It should be Issue 5 as in Acta Mechanica Sinica (2012) 28(5): 1374-1381.     

1H NMR‐based kinetic and mechanistic study of unusual skeletal rearrangements of a spirobornyl tosylate derivative

¹H NMR analysis of the kinetics of skeletal rearrangement of optically pure 3,3‐xylyl‐2‐exo‐bornyl tosylate in CDCl₃ indicates the operation of tandem autocatalytic and pseudo‐first‐order transformations, leading sequentially to a pair of isomeric camphene derivatives and involving partial racemization. Changing the solvent system has been shown to permit the chemoselective isolation of either of the isomeric camphenes. Copyright © 2010 John Wiley & Sons, Ltd.     

The Stepanov differentiability theorem in metric measure spaces

We extend Cheeger’s theorem on differentiability of Lipschitz functions in metric measure spaces to the class of functions satisfying Stepanov’s condition. As a consequence, we obtain the analogue of Calderon’s differentiability theorem of Sobolev functions in metric measure spaces satisfying a Poincaré inequality. Communicated by Steven Krantz