Prospects and limitations of an isotope tracer technique for understanding sulfur cycling in forested and agro-ecosystems

Abstract Applications of isotopically distinct sulfur compounds have recently been used for tracing the fate of added sulfur in whole catchments or sub-compartments therein. Basic principles, the analytical methodology, and data evaluation for this isotope tracer technique are briefly described. We recommend that δ(34)S-values of applied and natural sulfur compounds in the investigated ecosystem should differ by more than 20‰ in order to successfully ascertain sulfur fluxes. Where possible, a high ratio of applied sulfur loads versus sulfur pool sizes in the ecosystem should also be realized in order to allow the assessment of sulfur transformations in the study area. Prospects and limitations of this isotope tracer technique are critically discussed by reviewing results from recently or currently conducted lysimeter and field experiments.     

Scaling properties of ℤ k- 1 actions on the circle

We derive universal scaling properties for ^k–1 actions on the circle whose generators have rotation numbers algebraic of degreek. As fork=2 these properties can be explained for arbitraryk in terms of a renormalization group transformation. It has at least one trivial fixed point corresponding to an action whose generators are pure rotations. The spectrum of the linearized transformation in this fixed point is analyzed completely. The fixed point is hyperbolic with a (k–1)-dimensional unstable manifold. In the casek=2 the known results are therefore recovered.     

A comparison of differential pulse and d.c. amperometric detection modes for the liquid chromatographic determination of oxalic acid

Oxalic acid determinations are made using two modes of electrochemical detection, namely, classical d.c. and differential pulse, after separation by ion-pair, ion exchange high performance liquid chromatography. Peak height ratio plots are constructed and compared for uric acid and oxalic acid mixtures using both electrochemical detection modes. The enhanced selectivity realized by use of the differential pulse electrochemical detection mode is demonstrated.