Reversible $$G^k$$ G k -codes with applications to DNA codes

Designs, Codes and Cryptography - In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain...     

Asymptotic expansions for the truncation error in Ramanujan-type series

The Ramanujan Journal - Many of the fastest known algorithms to compute $$\pi $$ involve generalized hypergeometric series, such as the Ramanujan–Sato series. In this paper, we investigate...     

Austauscher mit cyclischen Polyethern als Ankergruppen—II: Anwendungen

Exchangers with cyclic polyethers as anchor groups have a large range of applications such as separations of cations with a common anion, of anions with a common cation, and of neutral organic compounds, and the determination of water by elution chromatography. Some crown ether monomers, especially 4- and 4,4′-alkyl-substituted benzo-derivatives are suitable for extractions and their adducts with heteropoly acids are used as liquid ion-exchangers. The exchangers are also applied in thin-layer chromatography and thin-layer electrophoresis. Furthermore the exchangers are successfully used in preparative chemistry, e.g., in salt conversions in order to isolate salts which are difficult to prepare by other means, in isolation and purification of organic compounds, and for anion activation in organic reactions.     

Carbon Participation in the Solvolysis of 6-exo-substituted 2-exo- and 2-endo-Norbornyl p-Toluenesulfonates. Norbornanes part 5

The solvolysis rates and products of the 6-exo-substituted 2-exo- 1a - 1u , and 2-endo-norbornyl p-toluenesulfonates 2a - 2u , have been determined. In general, the rate constants for 1 and 2 (log k) correlate well with the inductive constants σ of the substitutents at C(6); however, their sensitivity to σ is much larger in the 2-exo-series 1 than in the 2-endo-series 2 . This differential transmission of polar effects is the cause of decreasing 2-exo/2-endo rate ratios from 2388 for R = t-C₄H₉ to 0.37 for R = Br, i. e. with increasing electron attraction by the substituent. The high sensitivity of the rate constants for the 2-exo-p-toluenesulfonates 1 to σ indicates an unusually strong inductive interaction between C(6) and the incipient cationic center at C(2). This interaction is ascribed to the participation of the pentacoordinate C(6)-atom, i. e. to 1,3-bridging, a consequence of steric hindrance of nucleophilic solvent participation in norbornanes. Donor substituents enhance 1,3-bridging, lead to faster reactions and to the formation of 2-exo substitution products. Conversely, acceptor substituents reduce 1,3-bridging, decrease rates and facilitate the formation of 2-endo substitution products. Graded 1,3-bridging is discussed in the light of Winstein's nonclassical ion concept.     

Reaktivität von Monophosphan-Platin(0)-Verbindungen gegenüber Schwefeldioxid

Reactivity of Monophosphine Platinum(0) Complexes with SO₂ . The addition reaction of (PPh₃)Pt(ViSi) (ViSi = {η²-H₂C?CHSiMe₂}₂O) ( 1 ) with SO₂ gives within 30 min the red SO₂ complex (PPh₃)Pt(η²-H₂C?CHSiMe₂- OSiMe₂CH?CH₂)(SO₂) ( 2 ). A reaction time of 24 h with SO₂ leads to the elimination of the ViSi ligand, and the unstable monomeric intermediate (PPh₃)Pt(SO₂) cyclo- trimerizes to the stable cluster [Pt(PPh₃)(SO₂)]₃ ( 3 ). 3 is also obtained within 30 min by the reaction of (PPh₃)Pt(C₂H₄)₂ ( 4 ) with SO₂. The crystal structure of 3 has been determined; space group P2₁/n, Z = 4, a = 1 606.1(3), b = 1 019.3(1), c = 3 624.6(5) pm, β = 93.67°, R/R_w = 0.102/0.121.     

Rydberg-London potential for diatomic molecules and unbonded atom pairs

We propose and test a pair potential that is accurate at all relevant distances and simple enough for use in large-scale computer simulations. A combination of the Rydberg potential from spectroscopy and the London inverse-sixth-power energy, the proposed form fits spectroscopically determined potentials better than the Morse, Varnshi, and Hulburt-Hirschfelder potentials and much better than the Lennard-Jones and harmonic potentials. At long distances, it goes smoothly to the London force appropriate for gases and preserves van der Waals's "continuity of the gas and liquid states," which is routinely violated by coefficients assigned to the Lennard-Jones 6-12 form.     

Polar Substituent Effects in the Solvolysis of Primary and Tertiary Alkyl Halides. Polar Effect IX

When the Hammett-Taft equation log (k/k_o)=ρ^q · σ is applied to the solvolysis of the 3-substituted propyl bromides 6a-6i in ethanol/water 4:1 (v/v) log k correlates linearly with σ except in cases where R exerts an anchimeric effect. The reaction constant ρ^q for 6 is ? 0.12 and is typical for a nucleophilic solvent-assisted k_s process at a primary C-atom. The tertiary halides 1 and 3 , however, which react with little or no nucleophilic solvent assistance, i.e. by k_c processes, lead to larger ρ^q values of ?0.71 and ?1.14, respectively. The reaction constant p^q is therefore a sensitive gauge for charge development in the transition state for solvolysis of saturated compounds.     

Determination of the activity of diamine oxidases, urease and histidine ammonia-lyase by enzymatic assay of ammonia

Summary The activities of diamine oxidases (DAO) from submaxillary glands, parotid glands and kidneys, from human serum during the pregnancy and from pig serum and of DAO from pea seedlings and the activities of urease and histidine ammonia-lyase have been determined by measuring NH₄ ⁺ released from the corresponding substrates. Ammonia has been determined with the aid of glutamate dehydrogenase reaction in the coupled optic test. The specifity and sensitivity of the method, by which still 3×10^–9 Mol of NH₄ ⁺ could be measured, is excellent, the performance simple and rapid. The sensitivity could be enhanced by fluorometric determination of NAD⁺ in strong alkali solution. A method for the preparation of tissues for the spectrophotometric test of DAO is described. The importance of DAO determination in different diseases is briefly discussed.

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Zusammenfassung Die Aktivität von Diaminoxydasen aus Speicheldrüsen und Nieren, aus menschlichem Serum während der Schwangerschaft und Schweineserum und aus Erbsenkeimlingen sowie die Aktivität der Urease und Histidase wurden anhand der NH₃-Abspaltung aus ihren entsprechenden Substraten bestimmt. Das entstehende Ammoniak wurde dabei mit Hilfe der Glutamatdehydrogenasereaktion im gekoppelten optischen Test gemessen. Spezifität und Empfindlichkeit der Methode, mit der noch 3 · 10^–9 Mol NH₄ ⁺ bestimmt werden können, sind ausgezeichnet, die Durchführung einfach und rasch. Die Empfindlichkeit konnte außerdem noch durch die fluorimetrische Bestimmung von NAD⁺ gesteigert werden. Für die Bestimmung der Diaminoxydasen im Gewebe wird eine Methode der Aufarbeitung des Gewebes angegeben, die praktisch keinen Verlust an Gesamtaktivität gegenüber dem Ausgangshomogenat aufweist. Die Bedeutung der Diaminoxydasebestimmung für die Klinik wird kurz diskutiert.

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Supported by a grant from Deutsche Forschungsgemeinschaft.     

Model studies for the synthesis of galbonolide B

The construction of the fourteen membered ring present in galbonolide B 1 is reported. The 10,11-diene system present in the southern portion of has been constructed using an ester enolate rearrangement/silicon mediated fragmentation cascade, whilst the macrocycle has been synthesised following a Johnson rearrangement/mercury assisted ring closure protocol.