Local dimensions of measures on infinitely generated self-affine sets

We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. Furthermore the local dimension equals the minimum of the local Lyapunov dimension and the dimension of the space.     

Ozonolysis of phenols in aqueous solution

In the ozonolysis of phenol in aqueous solution at pH 3, 7 and 10 the following products were quantified: catechol, hydroquinone, 1,4-benzoquinone, cis,cis-muconic acid, H2O2, 2,4-dihydroxybiphenyl and 4,4-dihydroxybiphenyl. At pH 10, material balance (products vs. phenol consumption) is obtained. Singlet dioxygen, O2(1 delta g), and .OH are formed as short-lived intermediates. The precursor of the latter, O3.-, and a phenoxyl radical is suggested to arise from electron transfer from phenol/phenolate to ozone. Addition of .OH to phenol gives rise to dihydroxycyclohexadienyl radicals which add dioxygen and eliminate HO2. thereby forming catechol/hydroquinone. In competition and catalysed by H+ and OH-, the dihydroxycyclohexadienyl radical eliminates water yielding a phenoxyl radical. At pH 10, they readily oxidize catechol and hydroquinone. This reforms phenol (accounting for the low phenol consumption) and yields higher-oxidised products, eventually 1,4-benzoquinone. cis,cis-Muconic acid can be accounted for by the Criegee mechanism, while O2(1 delta g) is released on the way to (some of the) catechol and hydroquinone. Similar reactions proceed with hydroquinone (products: 1,4-benzoquinone, 2-hydroxy-1,4-benzoquinone and H2O2, with high yields of O2(1 delta g) and .OH) and with catechol (products: 2-hydroxy-1,4-benzoquinone, cis,cis-muconic acid, H2O2 with high yields of O2(1 delta g) and .OH). Material balance is not obtained for these two systems. Pentachlorophenolate, pentabromophenolate and 2,4,6-triiodophenolate ions give rise to halide ions, O2(1 delta g) (58%/48%/10%) and .OH (27%/2%/0%). It is suggested that together with O2(1 delta g) the corresponding ortho- and para-quinones plus a halide ion are formed. Further halide ion is released upon the hydrolysis of these and other products. For pentachlorophenolate the material balance with respect to the short-lived intermediates is 85%. With the bromo- and iodophenolates the O2(1 delta g) yields are substantially lowered, most likely due to release of triplet (ground state) dioxygen induced by the heavy atom effect.     

A new phase in the system lithium-aluminum: Characterization of orthorhombic Li2Al

Investigation of the Li rich part of the binary Li-Al system revealed the existence of a new phase, orthorhombic Li₂Al, which is isostructural to Li₂Ga and Li₂In. The crystal structure was determined from single crystal X-ray diffraction data (Cmcm, a=4.658(2) Å, b=9.767(4) Å, c=4.490(2) Å, Z=4). Refinement of atomic position site occupancies yielded a composition Li_1.92Al_1.08 (64 at% Li) indicating a small homogeneity range, Li_2−xAl_1+x. Li₂Al is the peritectic decomposition product of the stoichiometric compound Li₉Al₄, which is stable below 270±2 °C. Li₂Al itself decomposes peritectically to Li₃Al₂ and Li rich melt at 335±2 °C. The discovery of Li₂Al (Li_2−xAl_1+x) settles a long standing inconsistency in the Li-Al phase diagram which was based on the assumption that Li₉Al₄ possesses a high temperature modification.     

Synthesis of Li2PtH6 using high pressure: Completion of the homologous series A2PtH6 (A=alkali metal)

Li₂PtH₆, the missing member of the complex transition metal hydride series A₂PtH₆ (A=alkali metal), was prepared by reacting mixtures of LiH and Pt in the presence of BH₃NH₃ as hydrogen source at pressures above 8 GPa. According to powder X-ray diffraction analysis, Li₂PtH₆ is isostructural to its heavier homologues and crystallizes in the cubic K₂PtCl₆ structure (space group Fm3¯m, a=6.7681(3), Z=4). However, PtH₆²⁻ octahedral complexes in Li₂PtH₆ approach each other closely and its structure may likewise be regarded as a defective perovskite structure where half of the octahedrally coordinated atoms (cations) are missing. The IR spectrum of Li₂PtH₆ reveals the Pt-H T_1u stretch and bend at 1840 and 889 cm⁻¹, respectively.     

Fallout 137Cs, 90Sr and 239+240Pu in soils polluted by heavy metals: Vertical distribution, residence half-times, and external gamma-dose rates

The industrial pollution of an ecosystem, e.g., by heavy metals, might also affect the behavior of fallout radionuclides in the soils of these areas. To study such effects, we determined at various distances from the huge copper-nickel smelters at Monchegorsk on the Kola Peninsula (Russia) and at a reference site: (1) the vertical distribution of fallout ¹³⁷Cs,⁹⁰Sr and^239+240Pu in the soil, (2) the corresponding residence half-times in different soil horizons, and (3) the resulting external gamma-dose rates at these sites in 1 m height due to ¹³⁷Cs in the soil. The data show that the residence half-times and the partitioning of the fallout radionuclides among the various soil horizons depend significantly on the extent of the heavy metal pollution at the sites. The resulting external gamma-dose rate in 1 m height due to ¹³⁷Cs in the soil is, however, rather similar at the various sites.     

The effects of quality-management systems on external quality-assessment performance in Finnish clinical chemistry laboratories

The effects of the implementation of quality-management systems and technological changes on the performance of 23 Finnish clinical chemistry laboratories were studied in external quality-assessment (EQA) schemes organized by Labquality Ltd., Finland, during 1993 to 1999. The investigated serum analytes were sodium, calcium, glucose, cholesterol, and alanine aminotransferase. According to the results, the improvements in analytical quality due to the quality programs were rather small. The effects to the proportions of satisfactory results in terms of precision and deviation from the target value were 5–15% (95% confidence intervals for the proportions ±1–5%). At the same time the laboratories were implementing quality-management systems new technology and characteristics of quality-control materials affected the EQA performance. Both improvements and deteriorations in analytical quality due to these factors were identified. The effects and their total outcomes differed substantially between the five analytes.     

Vitality fertilization of Scots pine stands growing along a gradient of heavy metal pollution: short-term effects on microbial biomass and respiration rate of the humus layer

In 1992 forest vitality fertilization experiments were established on a heavy metal deposition gradient with four treatments in three replications at distances of 0.5, 4 and 8 km from a Cu-Ni smelter in order to estimate their impact on the disturbed forest ecosystem. The increase in Cu concentration in the humus (F/H) layer of the Calluna site type Scots pine (Pinus sylvestris) stands from ca. 300 to 8000 mg kg(-1) d.m. (dry matter) along the 8 km long transect towards the smelter resulted in declining soil microbial biomass and soil respiration activity. Three independent measurements of microbial biomass: C(mic)-FE (fumigation extraction), C(mic)-SIR (substrate induced respiration), and ATP have been used together with an indicator of fungal biomass (ergosterol) and microbial activity (soil respiration). Within this Cu pollution range, all the measured microbial biomass levels declined to 10%-28% of the control plot values and activity assessed by respiration was lowered to 16%. Liming has increased the C(mic)-SIR and respiration rate. Treatments with test fertilizer, made from grounded apatite, did not result in different microbial biomass and respiration rate values compared to the respective controls along the whole gradient. Nitrogen + lime treatments resulted in similar changes to lime alone. No changes, as compared to the respective control, could be detected with nitrogen fertilization at the less polluted end of the gradient.