Implementation of a general multireference configuration interaction procedure with analytic gradients in a semiempirical context using the graphical unitary group approach

The graphical unitary group approach has been applied in an efficient implementation of a general multireference configuration interaction (MRCI) method for use with small active molecular orbital spaces in a semiempirical framework. Gradients can be computed analytically for molecular orbitals from a closed-shell or a half-electron open-shell Hartree-Fock calculation. CPU times for single point energy and gradient calculations are reported. The code allows MRCI geometry optimizations of large molecules, as illustrated for the singlet ground state and the four lowest triplet states of fullerene C(76).     

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

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

.