Loops and the Lagrange Property

Let $\cal F$ be a family of finite loops closed under subloops and factor loops. Then every loop in $\cal F$ has the strong Lagrange property if and only if every simple loop in $\cal F$ has the weak Lagrange property. We exhibit several such families, and indicate how the Lagrange property enters into the problem of existence of finite simple loops.     

Loops whose loop rings in characteristic 2 are alternative

In this paper, the authors continue their investigation of loops which give rise to alternative loop rings. If the coefficient ring has characteristic 2, these loops turn out to form a surprisingly wide class, in contrast to the situation of characteristic ≠ 2. This paper describes many properties of this class, includes diverse examples of Moufang loops which are united by the fact that they have loop rings which are alternative, and discusses analogues in loop theory of a number of important group theoretic constructions.     

Introduction to time-of-flight secondary ion mass spectrometry application in chromatographic analysis

New on-line analytical system coupling thin layer chromatography (TLC) and high selective identification unit-time of flight secondary ion mass spectrometry (TOF-SIMS) is introduced in this article. Chromatographic mixture separation and analyte surface deposition followed with surface TOF-SIMS analysis on-line allows to identify the analytes at trace and ultratrace levels. The selected analytes with different detectability and identification possibility were analysed in this hyphenated unit (Methyl Red indicator, Terpinolen and Giberrelic acid). Here, the chromatographic thin layer plays a universal role: separation unit, analyte depositing surface and TOF-SIMS interface, finally. Two depositing substrates and TOF-SIMS compatible interfaces were tested in above-mentioned interfacing unit: modified aluminium backed chromatographic thin layer and monolithic silica thin layer. The sets of positive and negative ions TOF-SIMS spectra obtained from different SIMS modes of analysis were used for analyte identification purposes. SIMS enables analyte detection with high mass resolution at the concentration level that is not achieved by other methods.     

Retention indices as identification tool in pyrolysis-capillary gas chromatography

Pyrolysis-capillary gas chromatography (Py-cGC) represents important method to identify the analytes in the mixture after thermal degradation. This combines high effective analyte separation on-line coupled with thermal degradation process that depends on analyte structure. System of retention indices has been used for identification of the analytes after on-line pyrolysis and chromatographic separation. The pyrolysate composition has been studied during thermal degradation of polymethylmethacrylate (PMMA) at different pyrolysis temperatures and chromatographic column conditions. Homologues series of n-alkanes have been used for calculation of pyrolysate Kováts retention indices (I) and compared with mass spectrometric (MS) data of pyrolysate model mixture. To identify PMMA thermal degradation products the high density polyethylene (HDPE) as additive standard producing triplets of the olefin homologous series during co-pyrolysis has been used. These homologous series enable to calculate programmed temperature retention indices (ITPGC) to identify the analytes present in the pyrolysate. Calculated I values were compared with published I values databases to identify analytes yielded at different pyrolysis temperatures.     

Low field NMR for quality monitoring of 3D printed surimi from cod by-products: Effects of the pH-shift method compared with conventional washing

Implementation of three-dimensional (3D) food printing and novel analytics can reduce food waste and increase utilization of seafood by-products. Low field nuclear magnetic resonance (LF-NMR) and chemometrics were used to investigate the printability and characteristics of surimi pastes from cod by-products as affected by different processing methods (the pH-shift method vs. conventional washing), addition of salt (0, 1.5, and 3%), length of cold storage (0, 4, and 7 days) until 3D printing, and steam cooking. The analysis revealed two to three water populations in the 3D printed samples. Increasing the salt concentration induced myofibrillar swelling in the conventionally prepared surimi, whereas a more salt-induced gelling effect was observed in the pH-shift processed surimi. Cooking had a decreasing effect on the T₂₁ relaxation time and its corresponding apparent population (A₂₁), corresponding to protein denaturation and water loss during cooking. Increasing the salt concentration to 3% had a protective effect towards water exchange between the A₂₁ and A₂₃ populations in the conventionally washed samples but more subtly in the pH-shift samples. Similar trends in relaxation parameters were observed after 4 and 7 days of storage, although the intermediate population A₂₂ seemed to be most affected by the storage. Overall LF-NMR was an effective quality monitoring tool for the physicochemical changes occurring in the 3D printed surimi. The analysis showed both advantages and disadvantages of the two processing methods. However, it can clearly be concluded that increasing the salt content had a stabilizing effect on the surimi, and printing of fresh raw materials is recommended.     

Ion beam analyses of carbon nanotubes

The utility of ion beam analysis (IBA) techniques to quantitatively determine impurities in carbon nanotubes (CNTs) over a wide range of atomic numbers is demonstrated. Such techniques have not previously been used to monitor impurities and their effects in this unique material. Despite the difficulty in mounting the samples (which generally are formed into a powdery aggregate rather in a thin film), it is shown that reliable and accurate measurements of impurity concentrations can be achieved. Particle-induced X-ray emission (PIXE) and elastic recoil detection (ERD) analyses were used to characterize both metallic and very light (e.g., hydrogen) impurities in CNTs. This paper reports the first direct measurement of hydrogen in CNTs using an IBA technique. This is significant because CNTs are being actively investigated for hydrogen storage technology for energy applications.