Ordering groups constructively

The existence of a linear order on a group that is compatible with the group structure generally requires transfinite methods. However, this can be circumvented by concentrating on the consistency of a suitable propositional theory. To this end, we work with Scott’s multiple-conclusion entailment relations to describe the positive cones of a group. The commutative case then leads to a constructive version of Levi’s theorem that an Abelian group be orderable if and only if it is torsion-free. Subsequently, Cederquist and Coquand’s fundamental theorem of entailment relations prompts a finitary version of Sikora’s theorem.     

Anosovite-type v(3)o(5): a new binary oxide of vanadium

The reaction of either V(2)F(6)·4H(2)O or a mixture of 60 wt % VF(2)·4H(2)O and 40 wt % VF(3)·3H(2)O with a water-saturated gaseous mixture of 15-20 vol % hydrogen in argon leads to the formation of a new polymorph of V(3)O(5) crystallizing in the orthorhombic anosovite-type structure. Quantum-chemical calculations show that the anosovite-type structure is about 15 kJ/mol less stable than the corresponding monoclinic Magnéli phase. In addition, there are no imaginary modes in the phonon density of states, supporting the classification of the anosovite-type phase as a metastable V(3)O(5) polymorph. Susceptibility measurements down to 3 K reveal no hint for magnetic ordering.     

The Synthesis of Four Dideoxygenated Analogues of β-Maltosyl-(1→4)-Trehalose

Abstract

Four derivatives of β-maltosyl-(1→4)-trehalose were prepared, each with two deoxy functions in one of the constitutive disaccharide building blocks. 2,3-Di-O-acetyl-4,6-dideoxy-4,6-diiodo-α-D-galactopyranosyl- (1→4) ?1,2,3,6-tetra-O-acetyl-D-glucopyranose (3) was employed as a precursor for the 4?,6?-dideoxygenated tetrasaccharide 9: coupling of 3 with 2,3,6-tri-O-benzyl-α-D-glucopyranosyl 2,3,6-tri-O-benzylidene-α-D-glucopyranoside (4) furnished the tetrasaccharide 5 which was deiodinated and deprotected to yield the target tetrasaccharide 9. Secondly, the dideoxygenated maltose derivative 3-deoxy-4,6-O-isopropylidene-2-O-pivaloyl-β-D-glucopyranosyl- (1→4) ?1,6-anhydro-3-deoxy-2-O-pivaloyl-β-D-glucopyranose (10) was ring-opened to the anomeric acetate 11. A [2+2] block synthesis with 4 in TMS triflate mediated glycosylation gave a tetrasaccharide which was deprotected to the 3″,3?-dideoxygenated analogue of β-maltosyl-(1→4)-trehalose. For the third tetrasaccharide, 2,3,2″,3′-tetra-O-benzyl-α,α-trehalose was iodinated at the primary positions and deiodinated in the presence of palladium-on-carbon, then this acceptor was selectively glycosylated with hepta-O-acetyl-maltosyl bromide (20). Removal of protective groups furnished the maltosyl trehalose tetrasaccharide deoxygenated at positions C-6 and C-6′. to prepare a 3,3′-dideoxygenated trehalose, the free hydroxyl groups of 2-O-benzyl-4,6-O-(R)-benzylidene-α-D-glucopyranosyl 2-O-benzyl-4,6-O-(R)-benzylidene-α-D-glucopyranoside (25) were reduced by Barton-McCombie deoxygenation. One of the benzylidene groups was opened reductively with sodium cyanoborohydride. The resulting free hydroxyl group at the 4′-position was glycosylated in a Koenigs-Knorr reaction with 20 to yield the 3,3′-dideoxygenated tetrasaccharide 32, the fourth target oligosaccharide, after deprotection.     

The Synthesis of the 2′′- and 2′′′-Monodeoxygenated Analogues of β-Maltosyl-(1→4)-Trehalose

Abstract

Two derivatives of β-maltosyl-(1→4)-trehalose monodeoxygenated at C-2′′ or C-2′′′ have been synthesized in [2+2] block syntheses. O-(2,3,4,6-Tetra-O-benzyl-α-D-glucopyranosyl)-(1→4)-3,6-di-O-benzyl-1,2-di-O-acetyl-β-D-glucopyranose (6), prepared from the respective orthoester, was coupled to the glycosyl acceptor 2,3-di-O-benzyl-4,6-O-benzylidene-α-D-glucopyranosyl 2,3,6-tri-O-benzyl-α-D-glucopyranoside. In the resulting tetrasaccharide 8, the only ester group was removed and replaced by a xanthate which was reduced in a Barton-McCombie reaction to afford the 2′′-deoxygenated tetrasaccharide 12. For the synthesis of a 2′′′-deoxygenated derivative, a maltose building block was assembled from two monosaccharides. The key building block was ethyl 2,3,6-tri-O-benzyl-1-thio-β-D-glucopyranoside (14) which was used i) as a glycosyl acceptor in a phenylselenyl chloride mediated coupling reaction with tri-O-benzyl-glucal and ii) after the first coupling as a glycosyl donor to react with glycosyl acceptor 7 to give tetrasaccharide 18. The phenylselenyl group was reduced with tributyltin hydride on the disaccharide level. Deprotection of 18 furnished the 2′′′-deoxy-maltosyl-(1→4)-trehalose 20.     

Dynamical signatures of edge-state magnetism on graphene nanoribbons

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short ranged. Nevertheless, the correlation length increases with the width of the ribbon such that already for ribbons of moderate widths we observe a strong trend towards mean-field-type ferromagnetic correlations at a zigzag edge. These correlations are accompanied by a dominant low-energy peak in the local spectral function and we propose that this can be used to detect edge-state magnetism by scanning tunneling microscopy. The dynamic spin structure factor at the edge of a ribbon exhibits an approximately linearly dispersing collective magnonlike mode at low energies that decays into Stoner modes beyond the energy scale where it merges into the particle-hole continuum.     

Selectively Deoxygenated Derivatives of β-Maltosyl-(1→4)-Trehalose as Biological Probes. II. the Synthesis of the 4- and 4′″-Monodeoxygenated Analogues

ABSTRACT

Two derivatives of β-maltosyl-(1→4)-trehalose monodeoxygenated at positions 4 or 4′″ have been synthesized in [2+2] block syntheses. After the preparation of precursors with only one free hydroxyl group the deoxy function was introduced by a Barton-McCombie reaction. Thus, glycosylation of 2,3,6-tri-O-benzyl-α-D-glucopyranosyl 2,3,6-tri-O-benzyl-α-D-glucopyranoside (4) with octa-O-acetyl-β-maltose (3) gave tetrasaccharide 5 with only one free hydroxyl group at the 4-position. The 4′-position of an allyl maltoside was available selectively after removal of a 4′,6′-cyclic acetal and selective benzoylation of the 6′-position. Reduction of this derivative 11 afforded allyl O-(2,3-di-O-acetyl-6-O-benzoyl-4-deoxy-α-D-glucopyranosyl)-(1→4)-2,3,6-tri-O-acetyl-β-D-glucopyranoside (14), which was deallylated, activated as an trichloroacetimidate, and coupled to 2,3-di-O-benzyl-4,6-O-benzylidene-α-D-glucopyranosyl 2′,3′,6′-tri-O-benzyl-α-D-glucopyranoside (20). Several compounds were fully characterized by ¹H NMR spectroscopy. Deprotection furnished the monodeoxygenated tetrasaccharides 9 and 23.     

Selectively Deoxygenated Derivatives of β-Maltosyl-(1→4)-Trehalose as Biological Probes

ABSTRACT

The four derivatives of β-maltosyl-(1→4)-trehalose have been synthesized, which are monodeoxygenated at the site of one of the primary hydroxyl groups. The tetrasaccharides were constructed in [2+2] block syntheses. Thus, 6′″-deoxy-β-maltosyl-(1→4)-trehalose was prepared by selective iodination of allyl 2,3,6,2′,3′-penta-O-acetyl-β-maltoside (3) followed by catalytic hydrogenolysis and coupling with 2,3-di-O-benzyl-4,6-O-benzylidene-α-D-glucopyranosyl 2′,3′,6′-tri-O-benzyl-α-D-glucopyranoside (9), and 6″-deoxy-β-maltosyl-(1→4)-trehalose by selective iodination of allyl 4′,6′-O-isopropylidene-β-maltoside (14), coupling with 9, and one-step hydrogenolysis at the tetrasaccharide level. For the synthesis of 6′-deoxy-β-maltosyl-(1→4)-trehalose, the diol 2,3-di-O-benzyl-4,6-O-benzylidene-α-D-glucopyranosyl 2′,3′-di-O-benzyl-α-D-glucopyranoside (22) was selectively iodinated and glycosylated with acetobromomaltose followed by catalytic hydrogenolysis. The 6-deoxy-β-maltosyl-(1→4)-trehalose was obtained upon selective iodination of a tetrasaccharide diol.     

A carbohydrate-derived trifunctional scaffold for DNA-encoded libraries

For the generation of DNA-encoded libraries, a central scaffold containing three exit vectors with defined chirality was devised starting from commercially available tri-O-acetyl-glucal. This scaffold may be connected to the DNA barcode at any of the three different exit vectors, thus making it a versatile approach as this readily leads to three different libraries. For one of the three possibilities, the compatibility with the DNA tag was demonstrated. The reactions include amide bond formation, Boc deprotection, urea formation, azide reduction and reductive alkylation.     

EuI2, a low‐temperature europium(II) iodide phase

Light‐yellow europium(II) diiodide, prepared by the low‐temperature reaction of europium and ammonium iodide in liquid ammonia at 200 K and characterized by high‐resolution X‐ray powder diffraction, represents a new phase for EuI₂ that adopts an orthorhombic Pnma structure with all three atoms lying on 4c positions (.m.). It is isotypic with SrI₂(IV). Temperature‐dependent X‐ray measurements performed to investigate the thermal stability of the new phase show that it decomposes irreversibly to amorphous material around 673 K. Total‐energy density‐functional calculations using the generalized gradient approximation suggest this to be the ground‐state structure of EuI₂.