Mikrochemischer Nachweis von Europium in Gemischen seltener Erden

Zusammenfassung Zweiwertige Europiumsalze reduzieren Kakothelin zu einem violetten Farbstoff, analog wie die niederen Oxydationsstufen von Titan, Zinn, Vanadin, Niob, Molybdän, Wolfram, Uran und Rhenium. Man kann diese Reaktion zum spezifischen Nachweis von Europium in Gemischen seltener Erden benutzen. Die Erfassungsgrenze des Europiumnachweises beträgt 3/ccm, wenn man die Reduktion mit Zink und Salzsäure in Gegenwart von Kakothelin durchführt.

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Summary Bivalent europium salts, in analogy with the low oxidation steps of titanium, tin, vanadium, columbium, molybdene, tungsten, uranium, and rhenium, reduce cacotheline to a violet dyestuff. This reaction can be used for the specific detection of europium in mixtures of rare earths. The limit of identification of this test for europium is 3/ccm. if the reduction is carried out with the help of zinc and hydrochloric acid in the presence of cacotheline.

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Résumé Les sels d'europium bivalents réduisent la cacothéline à un principe colorant violet, de même que les premiers degrés d'oxydation du titane, de l'étain, du vanadium, du niobium, du molybdène, du tungstène, de l'urane et du rhénium. On peut employer cette réaction pour l'identification de l'europium dans un mélange de terres rares. On peut déceler 3 d'europium dans 1 ccm., si la réduction est produite par l'addition du zinc et de l'acide chlorhydrique, en présence de cacothéline.

     

Effect of metal ions forming bromide complexes on the Belousov-Zhabotinskii reaction

Metal ions forming stable complexes with bromide ions greatly influence both the amplitude and frequency of the Belousov-Zhabotinskii reaction. In case of thallium(I), redox reactions involving the metal ion should also be considered beside complex formation.

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, , , -. (I), , .

     

Pseudohalogeno-Metallverbindungen. LXXV. Pentacarbonylrhenium-und Triphenylphosphangold-Komplexe mit Pseudohalogeniden: (OC)5ReX,Ph3PAuX (X = ONC(CN)2, o-MeC6H4SO2C(CN)2,o-MeC6H4SO2NCN,Ph2(S)PNCN)

Pseudohalogeno Metal Compounds. LXXV. Pentacarbonylrhenium and Triphenylphosphinegold Complexes of Pseudohalide Anions: (OC)₅ReX, Ph₃PAuX (x = ONC(CN)₂, o-MeC₆H₄SO₂C(CN)₂, o-MeC₆H₄SO₂NCN, Ph₂(S)PNCN) The pseudohalides (X^?) nitrosodicyanmethanide, o-tosyldicyanmethanide, o-tosylcyanamide and diphenylthiophosphinylcyanamide react with the Organometallic Lewis Acids (OC)₅Re⁺ (as (OC)₅ReFBF₃) and Ph₃PAu⁺ (as Ph₃PAuNO₃) to give the neutral title complexes (OC)₅Re—X and Ph₃PAu? X, respectively. X-ray diffraction shows that nitroso-dicyanmethanide is coordinated through the nitroso N-atom to the Re(CO)₅ fragment. Cyanide-N-coordination is observed for the complexes with o-tosyldicyanmethanide and o-tosylcyanamide whereas diphenylthiophosphinylcyanamide is S-coordinated to the gold atom. Spectroscopic data (IR, NMR) of 1–6 are described.     

“Integer-making” theorems

Let X = {x₁, x₂,…} be a finite set and associate to every x_i a real number α_i. Let f(n) [g (n)] be the least value such that given any family $\text{F}$ of subsets of X having maximum degree n [cardinality n], one can find integers α_i, i=1,2,… so that α_i ? α_i|<1 and

$\text{∑}\text{x}{}_{\mathrm{i\; ?\; E}}\text{a}{}_{\mathrm{i}}\text{?}\text{∑}\text{x}{}_{\mathrm{i\; ?\; E}}\text{α}{}_{\mathrm{i}}\text{≤?(n)}\text{∑}\text{x}{}_{\mathrm{i\; ?\; E}}\text{a}{}_{\mathrm{i}}\text{?}\text{∑}\text{x}{}_{\mathrm{i\; ?\; E}}\text{α}{}_{\mathrm{i}}\text{≤}\text{g(n)}$

for all $\text{E ?}\text{F}$. We prove

$\text{f(n)≤n ? 1 and g(n)≤c(n}\text{log}\text{n)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$

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Functionalization of cellulose nanocrystal powder by non-thermal atmospheric-pressure plasmas

Cellulose - Despite promising characteristics such as the biodegradability and the environmentally benign nature of cellulose nanocrystal (CNC) based composites, their poor dispersion and...     

Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations

High-dimensional partial differential equations (PDEs) appear in a number of models from the financial industry, such as in derivative pricing models, credit valuation adjustment models, or portfolio optimization models. The PDEs in such applications are high-dimensional as the dimension corresponds to the number of financial assets in a portfolio. Moreover, such PDEs are often fully nonlinear due to the need to incorporate certain nonlinear phenomena in the model such as default risks, transaction costs, volatility uncertainty (Knightian uncertainty), or trading constraints in the model. Such high-dimensional fully nonlinear PDEs are exceedingly difficult to solve as the computational effort for standard approximation methods grows exponentially with the dimension. In this work, we propose a new method for solving high-dimensional fully nonlinear second-order PDEs. Our method can in particular be used to sample from high-dimensional nonlinear expectations. The method is based on (1) a connection between fully nonlinear second-order PDEs and second-order backward stochastic differential equations (2BSDEs), (2) a merged formulation of the PDE and the 2BSDE problem, (3) a temporal forward discretization of the 2BSDE and a spatial approximation via deep neural nets, and (4) a stochastic gradient descent-type optimization procedure. Numerical results obtained using TensorFlow in Python illustrate the efficiency and the accuracy of the method in the cases of a 100-dimensional Black–Scholes–Barenblatt equation, a 100-dimensional Hamilton–Jacobi–Bellman equation, and a nonlinear expectation of a 100-dimensional G-Brownian motion.