Poly[diaqua­(μ3-1H-benzimidazole-5,6-dicarboxyl­ato-κ4 N 3:O 5,O 6:O 6′)magnesium(II)]

In the title complex, [Mg(C9H4N2O4)(H2O)2]n, the MgII atom is six-coordinated by one N and three O atoms from three different 1H-benzimidazole-5,6-dicarboxyl­ate ligands and two O atoms from two water mol­ecules, forming a slightly distorted octa­hedral geometry. The ligand links the MgII centres into a three-dimensional network. Extensive N—H⋯O and O—H⋯O hydrogen bonds exist between the ligands and water mol­ecules, stabilizing the crystal structure

On Weak Exponential Expansiveness of Evolution Families in Banach Spaces

The aim of this paper is to give several characterizations for the property of weak exponential expansiveness for evolution families in Banach spaces. Variants for weak exponential expansiveness of some well-known results in stability theory (Datko (1973), Rolewicz (1986), Ichikawa (1984), and Megan et al. (2003)) are obtained

Novel insights into the Thaumarchaeota in the deepest oceans: their metabolism and potential adaptation mechanisms

Background: Marine Group I (MGI) Thaumarchaeota, which play key roles in the global biogeochemical cycling of nitrogen and carbon (ammonia oxidizers), thrive in the aphotic deep sea with massive populations. Recent studies have revealed that MGI Thaumarchaeota were present in the deepest part of oceans - the hadal zone (depth > 6,000 m, consisting almost entirely of trenches), with the predominant phylotype being distinct from that in the “shallower” deep sea. However, little is known about the metabolism and distribution of these ammonia oxidizers in the hadal water. Results: In this study, metagenomic data were obtained from 0-10,500 m deep seawater samples from the Mariana Trench. The distribution patterns of Thaumarchaeota derived from metagenomics and 16S rRNA gene sequencing were in line with that reported in previous studies: abundance of Thaumarchaeota peaked in bathypelagic zone (depth 1,000 – 4,000 m) and the predominant clade shifted in the hadal zone. Several metagenome-assembled thaumarchaeotal genomes were recovered, including a near-complete one representing the dominant hadal phylotype of MGI. Using comparative genomics we predict that unexpected genes involved in bioenergetics, including two distinct ATP synthase genes (predicted to be coupled with H+ and Na+ respectively), and genes horizontally transferred from other extremophiles, such as those encoding putative di-myo-inositol-phosphate (DIP) synthases, might significantly contribute to the success of this hadal clade under the extreme condition. We also found that hadal MGI have the genetic potential to import a far higher range of organic compounds than their shallower water counterparts. Despite this trait, hadal MDI ammonia oxidation and carbon fixation genes are highly transcribed providing evidence they are likely autotrophic, contributing to the primary production in the aphotic deep sea. Conclusions: Our study reveals potentially novel adaptation mechanisms of deep-sea thaumarchaeotal clades and suggests key functions of deep-sea Thaumarchaeota in carbon and nitrogen cycling

1-(4-Fluoro­phen­yl)-2-(1H-imidazol-1-yl)ethanone

In the title compound, C11H9FN2O, the dihedral angle between the rings is 87.50 (4)°. In the crystal, inter­molecular C—H⋯N hydrogen bonds link the mol­ecules in a stacked arrangement along the c axis

(Z)-1-(2,4-Difluoro­phen­yl)-2-(1H-1,2,4-triazol-1-yl)ethanone oxime

In the title compound, C10H8F2N4O, the dihedral angle between the rings is 65.4 (1)°. In the crystal, inter­molecular O—H⋯N and C—H⋯F hydrogen bonds link the mol­ecules in a stacked arrangement along the a and c axes, respectively

1-(2,4-Difluoro­phen­yl)-2-(1H-1,2,4-triazol-1-yl)ethanol

In the title compound, C10H9F2N3O, the dihedral angle between the rings is 22.90 (4)°. In the crystal, C—H⋯F and O—H⋯N hydrogen bonds link the mol­ecules into chains along [010]