PCB 47, 51, 68 – Bestimmung von PCB 47, 51, 68 in der Luft am Arbeitsplatz mittels Gaschromatographie (GC-ECD)

This analytical method is a validated measurement procedure for the determination of the three tetrachlorinated biphenyls PCB 47 [2437-79-8], PCB 51 [68194-04-7] and PCB 68 [73575-52-7] in workplace air in a concentration range of 0.16 to 0.62 μg/m3. It was developed to detect PCB that only may be generated during the manufacture of silicone products with peroxidic crosslinking with bis(2,4-dichlorobenzoyl) peroxide. By measurement in manufacturing plants it could be proven that the PCB to be investigated are present exclusively in vapour form. For this reason, the method was only validated for vaporous samples. There are currently no valid evaluation criteria for these PCB. Therefore, the German Occupational Exposure Limit Value for the sum of all PCB (5 × sum of the 6 indicator PCB [28, 52, 101, 138, 152, 180]) of 3 μg/m3 was used as the assessment standard for each congener. For sampling, a defined volume of air is drawn through a sorbent tube filled with Florisil. The flow rate is set to 1 l/min and sampling duration is 4 hours (which correspond to a sampling volume of 240 l). The PCB are extracted with n-hexane at 40 °C in an ultrasonic bath and subsequently analysed using gas chromatography with electron capture detection. The quantitative determination is based on a calibration function. The limit of quantification is 0.11 μg/m3 based on an air sample volume of 240 l. The mean recovery is 96% and the expanded uncertainty for the validation range of 0.16 to 0.62 μg/m3 is 22 to 24%

1,2-Dichloroethane – Method for the determination of 1,2-dichloroethane in workplace air using gas chromatography (GC-MS)

This analytical method is a validated measurement procedure for the determination of 1,2-dichloroethane [107-06-2] after personal or stationary sampling. Sampling is performed by drawing a defined volume of air through an adsorption tube made of stainless steel packed with Chromosorb 106 using a suitable flow-regulated pump. After thermal desorption, the 1,2-dichloroethane retained on the adsorbens is analysed using gas chromatography with flame ionisation detection and mass spectrometry. The relative limit of quantification (LOQ) is 0.009 mg 1,2-dichloroethane/m3 for an air sample volume of 1.2 l. The mean recovery for 1,2-dichloroethane was 101%. The concentration-dependent expanded uncertainty was 20% to 21%. This analytical method has been accredited by the accident insurance companies for the detection in workplace air of substances that are carcinogenic, mutagenic or toxic to reproduction. This method has been tested and recommended for the determination of 1,2-dichloroethane in work areas by the German Social Accident Insurance (DGUV). Both personal and stationary sampling can be performed for measurements in order to evaluate work areas

Arsenic – Determination of arsenic and its particulate compounds in workplace air using atomic absorption spectrometry (GF-AAS)

This analytical method is a validated measurement procedure for the determination of arsenic [7440-38-2] and its particulate compounds e.g. arsenic trioxide [1327-53-3] and arsenic triiodide [7784-45-4] after personal or stationary sampling. Sampling is performed by drawing a defined volume of air through a nitrocellulose membrane filter using a suitable flow-regulated pump. After acid digestion, the arsenic retained on the filter is analysed using graphite furnace atomic absorption spectrometry (GFAAS). The relative limit of quantification (LOQ) is 0.11 µg As/m3 for an air sample volume of 1.2 m3 . The mean recovery for arsenic was 100%. The concentration-dependent expanded uncertainty was 15% to 33%. This analytical method has been accredited by the accident insurance companies for the detection in workplace air of substances that are carcinogenic, mutagenic or toxic to reproduction. This method has been tested and recommended for the determination of arsenic in work areas by the German Social Accident Insurance (DGUV). Both personal and stationary sampling can be performed for measurements in order to evaluate work area

Dicarboxylic acids, short-chained – Determination of oxalic acid, malonic acid, succinic acid, glutaric acid and adipic acid in the workplace air using ion chromatography (IC)

The analytical method described here permits the determination of five linear chain aliphatic dicarboxylic acids with 2 to 6 carbon atoms and terminal carboxy groups occurring as inhalable particles in workplace air. The concentration range covers one tenth up to twice the currently valid Occupational Exposure Limit Value (OELV) in Germany, which is 1 mg/m3 for oxalic acid and 2 mg/m3 for succinic, glutaric and adipic acid (inhalable fraction). The peak limitation with an excursion factor of 2 can also be checked. At the moment, there is no OELV for malonic acid, so the same concentration range has been considered as for oxalic acid. Sampling is performed using a flow-regulated pump to draw a defined volume of air through a glass fibre filter, which is alkaline-impregnated with sodium carbonate and inserted in a GSP sampling system. The volumetric flow rate is 10 l/min. For sampling, 2 hours or 15 minutes can be used. The collected dicarboxylic acid deposited on the filter is extracted by means of an aqueous sodium carbonate/sodium hydroxide solution and analysed by means of ion chromatography using a conductivity detector. Quantitative determination is based on multiple-point calibrations with external standards. For an air sample volume of 1200 litres, the relative limit of quantification (LOQ) is in the range from 0.0002 mg/m3 for oxalic acid and 0.0009 mg/m3 for succinic acid. With LOQs less than 0.0076 mg/m3, the measurement of the short-term exposure limit (STEL) is also enabled with an air sample volume of 150 litres. The recoveries of the five dicarboxylic acids range from 96% to 110% and the expanded uncertainty is less than 29%

1,3-Dioxolane – Determination of 1,3-dioxolane in workplace air using gas chromatography (GC-FID)

This analytical method is a validated measurement procedure for the determination of 1,3-dioxolane [646-06-0] in workplace air in a concentration range of one tenth up to twice the currently valid Occupational Exposure Limit Value (OELV) in Germany of 150 mg/m3. For sampling, a defined volume of air is drawn through a sorbent tube (for thermal desorption) filled with Chromosorb 106. The flow rate is set to 5 ml/min and sampling is performed over 2 hours (which corresponds to a sampling volume of 600 ml). The samples to which cyclooctane is added as internal standard are thermally desorbed. The quantitative determination is based on a calibration function, whereby the 1,3-dioxolane concentration of the calibration standard is plotted against the intensities, calculated over the internal cyclooctane standard. The limit of quantification is 12.9 mg/m3 based on an air sample volume of 600 ml. The mean recovery is 97% and the expanded uncertainty for the validation range of 16.3 to 293 mg/m3 is 11.5 to 12.1%

Characterizations of hemirings by their hh-ideals

In this paper we characterize hemirings in which all $h$-ideals or all fuzzy $h$-ideals are idempotent. It is proved, among other results, that every $h$-ideal of a hemiring $R$ is idempotent if and only if the lattice of fuzzy $h$-ideals of $R$ is distributive under the sum and $h$-intrinsic product of fuzzy $h$-ideals or, equivalently, if and only if each fuzzy $h$-ideal of $R$ is intersection of those prime fuzzy $h$-ideals of $R$ which contain it. We also define two types of prime fuzzy $h$-ideals of $R$ and prove that, a non-constant $h$-ideal of $R$ is prime in the second sense if and only if each of its proper level set is a prime $h$-ideal of $R$

Simulations of Weighted Tree Automata

Simulations of weighted tree automata (wta) are considered. It is shown how such simulations can be decomposed into simpler functional and dual functional simulations also called forward and backward simulations. In addition, it is shown in several cases (fields, commutative rings, Noetherian semirings, semiring of natural numbers) that all equivalent wta M and N can be joined by a finite chain of simulations. More precisely, in all mentioned cases there exists a single wta that simulates both M and N. Those results immediately yield decidability of equivalence provided that the semiring is finitely (and effectively) presented.Comment: 17 pages, 2 figure

Hardy Spaces on Weighted Homogeneous Trees

We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a weighted measure μ. The metric measure space (V, d, μ) is nondoubling and of exponential growth, hence the classical theory of Hardy spaces does not apply in this setting. We construct an atomic Hardy space H1(μ) on (V, d, μ) and investigate some of its properties, focusing in particular on real interpolation properties and on boundedness of singular integrals on H1(μ)