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Pyrolysis oil from the slow pyrolysis of German brown coal from Schöningen, obtained at a temperature of 500°C, was separated and analyzed using hyphenation of gas chromatography with an atmospheric pressure chemical ionization source operated in negative ion mode and Fourier transform ion cyclotron resonance mass spectrometry (GC-APCI-FT-ICR-MS). Development of this ultrahigh-resolving analysis method is described, that is, optimization of specific GC and APCI parameters and performed data processing. The advantages of GC-APCI-FT-ICR-MS hyphenation, for example, soft ionization, ultrahigh-resolving detection, and most important isomer separation, were demonstrated for the sample liquid. For instance, it was possible to separate and identify nine different propylphenol, ethylmethylphenol, and trimethylphenol isomers. Furthermore, homologous series of different acids, for example, alkyl and alkylene carboxylic acids, were verified, as well as homologous series of alkyl phenols, alkyl dihydroxy benzenes, and alkoxy alkyl phenols.

Pyrolysis liquids from coal are complex mixtures of organic compounds with low to high molecular mass and low to high polarity. Compared to low-molecular-weight compounds, little information is available regarding high-molecular-weight compounds in pyrolysis liquids, although their characterization is important for the elucidation of degradation pathways. In this study, laser desorption ionization (LDI) using graphite powder as the support material has been used in conjunction with Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR-MS) for the analysis of a pyrolysis liquid from brown coal. The acquired data is compared to previous results of the same sample using electrospray ionization (ESI). Using LDI, compounds with masses between 300 and 900 Da were detected by LDI. An evaluation of the spectra was based on the frequency of molecular formulas with a different number of heteroatoms. Hydrocarbon compounds and heteroatomic compounds containing oxygen and sulfur were found. A comparison to ESI results shows that the numbers of observed molecular formulas are virtually the same, but a higher quantity of molecular formulas with a low number of oxygen can be detected by LDI. The observation of molecular formulas without oxygen is a unique feature of the LDI spectra. A more detailed investigation was possible by the utilization of double bond equivalent plots versus carbon number, which revealed a prevalence of LDI for the ionization of compounds with higher DBE.

We give two asymptotic results for the distance covariance on separable metric spaces without any iid assumptions. In particular, we show the almost sure convergence of the empirical distance covariance under ergodicity for any measure with finite first moments. We further give a result concerning the asymptotic distribution of the empirical distance covariance under the assumption of absolute regularity and extend these results to certain types of pseudometric spaces. In the process, we derive a general theorem concerning the asymptotic distribution of degenerate V-statistics of order 2 under a strong mixing condition.