Phase equilibria in the system FeVO4-WO3 in the solid state

The DTA and X-ray powder diffraction imply the following equilibria in the system FeVO₄-WO₃ up to the solidus line: from 550 to 650–670°C, the system components remain inert towards each other in the whole concentration range; above 670°C, at up to 66.67 mol% of WO₃. FeVO₄ and FeVW₂O₁₀ are in equilibrium, whereas from 66.67 mol% of WO₃ upwards FeVW₂O₁₀ and WO₃ are in equilibrium.

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Zusammenfassung DTA Untersuchungen und Debye-Scherrer-Aufnahmen lassen darauf schließen, daß im System FeVO₄-WO₃ bis zur Soliduslinie folgende Gleichgewichte festgestellt wurden: von 550 bis 650–670°C bleiben die Systemkomponenten im ganzen Konzentrationsbereich voneinander unberührt, oberhalb 670°C sind bis zu 66.67 Molprozent WO₃ die Verbindungen FeVO₄ und FeVW₂O₁₀ im Gleichgewicht vorhanden, oberhalb 66.67 Molprozent WO₃ hingegen die Verbindungen FeVW₂O₁₀ und WO₃.

     

Subsolidus phase equilibria in the V9Mo6O40-Cr2(MoO4)3 system

The V₉Mo₆O₄₀?Cr₂(MoO₄)₃ system has been investigated using the differential thermal analysis (DTA) and X-ray phase diffraction methods. The system has been found not to be a real two-component system over the whole component system.     

Three-way principal component analysis applied to food analysis: an example

The purpose of the study is to show how the interpretation of a complex multivariate data array can significantly be improved by the application of N-way principal component analysis (PCA). Two food related three-way data sets were studied; a sensory and a chromatographic data array. The Parafac and the Tucker3 models were applied and results were compared. Both N-way models presented here allow visualization of the data structure and give detailed information about the data set, notably allowing to understand relationships between objects and variables.     

Magnetic and EPR Studies of α-, β-, and γ-Fe2WO6 Phases at Low Temperatures

The polymorphic modifications α-, β-, and γ-Fe₂WO₆ of the iron tungstate system were studied by means of magnetic susceptibility and EPR measurements at low temperatures. Both methods revealed a significant paramagnetic contribution, probably resulting from local distortions of the antiferromagnetic bulk structure induced by a disturbed cation ordering or the presence of Fe²⁺ ions. The magnetic susceptibility revealed a peak at 260 K for all samples which can be related with an AF phase transition. The EPR spectra comprised the contribution of various isolated paramagnetic iron centers, one arising from high-spin Fe³⁺ ions in rhombic crystal field symmetry with E/D ≈ 1/3 and D ≈ 0.22 cm^-1, an anisotropic EPR signal consistent with an S= 3/2 ground state with large zero-field splitting, and a dominant component in the g ≈ 2 region presumably arising from an S = 1/2; spin state. The latter spectra were tentatively attributed to the formation of multi-iron clusters, one of them invoking the presence of Fe²⁺ ions as well. For the βFe₂WO₆ phase an additional EPR spectrum was observed, which probably results from high-spin Fe³⁺ ions in a weak crystal field.     

INTERACTION BETWEEN PHYTOCHROME AND THE BLUE LIGHT PHOTORECEPTOR SYSTEM IN Mougeotia*

Abstract— Face-to-profile chloroplast movement in Mougeotia was induced by sequences of strong blue and red short irradiations. This type of response occured only when blue light was applied prior to or simultaneously with red light, and far-red irradiation was necessary after the sequence to cancel the remaining gradient of the far-red absorbing form of phytochrome P_fr. The dependence of the response magnitude on blue and red light sequences was studied for a wide range of light durations and dark intervals. The relationship between the response and the dark interval points to the lack of direct coupling between phytochrome and blue-absorbing “cryptochrome”. It was postulated that a photoproduct having a life-time of2–3 min is formed by the blue-light-mediated reaction. This photoproduct interacts with phytochrome during its transformation or with its final P_fr form.     

No-alignment-strategies for exploring a set of two-way data tables obtained from capillary electrophoresis-mass spectrometry

Hyphenated techniques such as capillary electrophoresis-mass spectrometry (CE-MS) or high-performance liquid chromatography with diode array detection (HPLC-DAD), etc., are known to produce a huge amount of data since each sample is characterized by a two-way data table. In this paper different ways of obtaining sample-related information from a set of such tables are discussed. Working with original data requires alignment techniques due to time shifts caused by unavoidable variations in separation conditions. Other pre-processing techniques have been suggested to facilitate comparison among samples without prior peak alignment, for example, 'binning' and/or 'blurring' the data along the time dimension. All these techniques, however, require optimization of some parameters, and in this paper an alternative parameter-free method is proposed. The individual data tables (X) are represented as Gram matrices (XXT), where the summation is taken over the time dimension. Hence the possible variations in time scale are eliminated, while the time information is at least partly preserved by the correlation structure between the detection channels. For comparison among samples, a similarity matrix is constructed and explored by principal component analysis and hierarchical clustering. The Gram matrix approach was tested and compared to some other methods using 'binned' and 'blurred' data for a data set with CE-MS runs on urine samples. In addition to data exploration by principal component analysis and hierarchical clustering, a discriminant partial least squares model was constructed to discriminate between the samples that were taken with and without the prior intake of a drug. The result showed that the proposed method is at least as good as the others with respect to cluster identification and class prediction. A distinct advantage is that there is no need for parameter optimization, while a potential drawback is the large size of the Gram matrices for data with high mass resolution.     

Titanocene catalyzed 4-exo cyclizations: mechanism, experiment, catalyst design

A method for the preparation of a variety of cyclobutanes via 4-exo cyclization of radicals is presented. Radical generation is carried out by electron transfer from titanocene(III) chlorides to epoxides. The reaction relies on the acceleration of the cyclization through the use of alpha,beta-unsaturated carbonyl compounds as radical traps and the thermodynamic stabilization of the cyclobutylcarbinyl radicals through conjugation. The mechanism of the transformation was investigated by a combined theoretical and experimental study. The computational results provide the crucial energetic and structural features of pertinent intermediates and transition structures. Moreover, the origins of the diastereoselectivity of the 4-exo cyclization are outlined for the first time. Catalysts for those cases where "Cp2TiCl" did not perform in a satisfactory manner have been devised. Through the introduction of tert-butyl or cyclo-hexyl substituted cyclopentadienyl ligands the longevity of the pivotal beta-titanoxy radicals is increased sufficiently enough to enable the slow but often surprisingly diastereoselective formation of the cyclobutylcarbinyl radical. The resulting transformation constitutes the first general approach to cyclobutanes using radical chemistry.     

Classification of data with missing elements and outliers

Missing elements and outliers can often occur in experimental data. The presence of outliers makes the evaluation of any least squares model parameters difficult, while the missing values influence the adequate identification of outliers. Therefore, approaches that can handle incomplete data containing outliers are highly valued. In this paper, we present the expectation-maximization robust soft independent modeling of class analogy approach (EM-S-SIMCA) based on the recently introduced spherical SIMCA method. Several important issues like the possibility of choosing the complexity of the model with the leverage correction procedure, the selection of training and test sets using methods of uniform design for incomplete data and prediction of new samples containing missing elements are discussed. The results of a comparison study showed that EM-S-SIMCA outperforms the classic expectation-maximization SIMCA method. The performance of the method was illustrated on simulated and real data sets and led to satisfactory results.     

Structure elucidation and complete NMR spectral assignments of two new sesquiterpene lactone xylosides from Lactuca triangulata

Two new sesquiterpene lactone xylosides, derivatives of the guaianolides 9alpha-hydroxyleucodin and 9alpha-hydroxy-11,13-dehydroleucodin, were isolated from roots of Lactuca triangulata. Their structures were established on the basis of (1)H and (13)C NMR spectra, 2D NMR (HMQC, HMBC, COSY, NOESY) techniques and comparison with the literature data. The compounds represent the first example of sesquiterpene lactone xylosides.     

Well-Posed and Ill-Posed Optimal Control Problems

In this paper, an optimal control problem with variable parameters and variable initial data is considered for some systems of ordinary differential equations. On the basis of variational methods, some sufficient conditions, under which the optimal processes depend continuously on the initial data and parameters of the system, are proved.