Universal occurrence of soot superaggregates with a fractal dimension of 2.6 in heavily sooting laminar diffusion flames

Using small-angle light scattering we show that a new phase of soot with size ca. 10 microm and a fractal dimension of D approximately equal to 2.6 exists in laminar diffusion flames for a wide range of heavily sooting fuels. This new phase appears to be a supramicrometer extension of the well-known submicrometer, D approximately equal to 1.8 phase of soot formed via diffusion-limited cluster aggregation (DLCA). The occurrence of this new soot phase correlates with an empirical sooting index for fuels. This supports a creation scenario in which these supramicrometer aggregates are created via a percolation of the submicrometer, D approximately equal to 1.8 aggregates.     

Abelian cocycles for nonsingular ergodic transformations and the genericity of type III1 transformations

The authors prove that in the space of nonsingular transformations of a Lebesgue probability space the type III₁ ergodic transformations form a denseG set with respect to the coarse topology. They also prove that for any locally compact second countable abelian groupH, and any ergodic type III transformationT, it is generic in the space ofH-valued cocycles for the integer action given byT that the skew product ofT with the cocycle is orbit equivalent toT. Similar results are given for ergodic measure-preserving transformations as well.Research supported in part by: Nat. Sci. and Eng. Res. Council #A7163 and # U0080 F.C.A.C. Quebec, NSF Grants # MCS-8102399 and # DMS-8418431.     

Precipitation of beryllium from homogeneous solution in presence of sulphate by hydrolysis of urea

Beryllium can be precipitated from homogeneous solution as a dense and easily filterable precipitate by the hydrolysis of urea, in the presence of sulphate. The method has been applied to the gravimetric determination of beryllium as oxide. The nature of the precipitate thus obtained has been examined by thermogravimetric, infrared, photomicrographic and X-ray methods.