Comments on spin operators and spin-polarization states of 2+1 fermions

In this brief article we discuss spin polarization operators and spin polarization states of 2+1 massive Dirac fermions and find a convenient representation by the help of 4-spinors for their description. We stress that in particular the use of such a representation allows us to introduce the conserved covariant spin operator in the 2+1 field theory. Another advantage of this representation is related to the pseudoclassical limit of the theory. Indeed, quantization of the pseudoclassical model of a spinning particle in 2+1 dimensions leads to the 4-spinor representation as the adequate realization of the operator algebra, where the corresponding operator of a first-class constraint, which cannot be gauged out by imposing the gauge condition, is just the covariant operator previously introduced in the quantum theory.Comment: 6 page

Metal ion-N7 coordination in a ribozyme branch domain by NMR

The N7 of purine nucleotides presents one of the most dominant metal ion binding sites in nucleic acids. However, the interactions between kinetically labile metal ions like Mg2+ and these nitrogen atoms are inherently difficult to observe in large RNAs. Rather than using the insensitive direct N-15 detection, here we have used (2)J-H-1,N-15]-HSQC (Heteronuclear Single Quantum Coherence) NMR experiments as a fast and efficient method to specifically observe and characterize such interactions within larger RNA constructs. Using the 27 nucleotides long branch domain of the yeast-mitochondrial group II intron ribozyme Sc.ai5 gamma as an example, we show that direct N7 coordination of a Mg2+ ion takes place in a tetraloop nucleotide. A second Mg2+ ion, located in the major groove at the catalytic branch site, coordinates mainly in an outer-sphere fashion to the highly conserved flanking GU wobble pairs but not to N7 of the sandwiched branch adenosine. (C) 2010 Elsevier Inc. All rights reserved

An actin-related protein in Drosophila colocalizes with heterochromatin protein 1 in pericentric heterochromatin

The actin-related proteins have been identified by virtue of their sequence similarity to actin. While their structures are thought to be closely homologous to actin, they exhibit a far greater range of functional diversity. We have localized the Drosophila actin-related protein, Arp4, to the nucleus. It is most abundant during embryogenesis but is expressed at all developmental stages. Within the nucleus Arp4 is primarily localized to the centric heterochromatin. Polytene chromosome spreads indicate it is also present at much lower levels in numerous euchromatic bands. The only other protein in Drosophila reported to be primarily localized to centric heterochromatin in polytene nuclei is heterochromatin protein 1 (HP1), which genetic evidence has linked to heterochromatin-mediated gene silencing and alterations in chromatin structure. The relationship between Arp4 and heterochromatin protein 1 (HP1) was investigated by labeling embryos and larval tissues with antibodies to Arp4 and HP1. Arp4 and HP1 exhibit almost superimposable heterochromatin localization patterns, remain associated with the heterochromatin throughout prepupal development, and exhibit similar changes in localization during the cell cycle. Polytene chromosome spreads indicate that the set of euchromatic bands labeled by each antibody overlap but are not identical. Arp4 and HP1 in parallel undergo several shifts in their nuclear localization patterns during embryogenesis, shifts that correlate with developmental changes in nuclear functions. The significance of their colocalization was further tested by examining nuclei that express mutant forms of HP1. In these nuclei the localization patterns of HP1 and Arp4 are altered in parallel fashion. The morphological, developmental and genetic data suggest that, like HP1, Arp4 may have a role in heterochromatin functions. Keywords: Chromatin, Actin-related protein, Drosophila, Heterochromatin-protein 1, Position effect variegatio

Magnesium(II)-ATP Complexes in 1-Ethyl-3-Methylimidazolium Acetate Solutions Characterized by 31Mg β-Radiation-Detected NMR Spectroscopy

The complexation of MgII with adenosine 5′-triphosphate (ATP) is omnipresent in biochemical energy conversion, but is difficult to interrogate directly. Here we use the spin-urn:x-wiley:14337851:media:anie202207137:anie202207137-math-0001 β-emitter 31Mg to study MgII-ATP complexation in 1-ethyl-3-methylimidazolium acetate (EMIM-Ac) solutions using β-radiation-detected nuclear magnetic resonance (β-NMR). We demonstrate that (nuclear) spin-polarized 31Mg, following ion-implantation from an accelerator beamline into EMIM-Ac, binds to ATP within its radioactive lifetime before depolarizing. The evolution of the spectra with solute concentration indicates that the implanted 31Mg initially bind to the solvent acetate anions, whereafter they undergo dynamic exchange and form either a mono- (31Mg-ATP) or di-nuclear (31MgMg-ATP) complex. The chemical shift of 31Mg-ATP is observed up-field of 31MgMg-ATP, in accord with quantum chemical calculations. These observations constitute a crucial advance towards using β-NMR to probe chemistry and biochemistry in solution

Spectral phase encoding for data storage and addressing

We propose to use a broad-bandwidth laser source for storing and retrieving multiple holograms in a photorefractive material. Each storage address is defined by a specific spectral encoding of the reference beam. The validity of the spectral encoding method is tested in a preliminary experiment