Mineral formation from aqueous solution. Part I. The deposition of hydrozincite,Zn5(OH)6(CO3)2, from natural waters

Summary Naturally occurring waters in the oxidized zone of a Pb-Zn orebody have been collected where they are responsible for the formation of solid hydrozincite, Zn₅(OH)₆(CO₃)₂. The solutions were analysed and the computer programme COMICS used to describe the complex ion distribution in each case. From the results, the solubility product for hydrozincite has been recalculated as log K_SP=–14.9(0.1). This value has been used to calculate the fields of stability of some secondary zinc minerals and illustrates the reason for the apparently anomalous stability of hydrozincite in nature, compared with what might be expected from considerations of earlier data.     

An ab initio molecular orbital study of intramolecular H-bonding: 1,3 propanediol

An ab initio molecular orbital calculation has been carried out for three different conformations of 1,3 propanediol, one of which permits intramolecular H-bond studied by ab initio quantum mechanical methods. The ΔE for H-bonding formation is compated to be 0.9 kcal/mole and the charge redistributions and molecular orbital energy changes are compared to those found in intermolecular H-bonds.     

Synthese von 5,6-Epimino-5,6-dihydro-β-jonon

Synthesis of 5,6-Ephnino-5,6-dihydro-β-ionone In order to synthesize the title compound 5 the 2-azidoalcohols 3 and 4 were treated with various nucleophilic phosphorus compounds. It was found that the course of the reaction depends strongly upon the kind of nucleophilic phosphorus derivative used.     

Determination of carbonate in the presence of hydroxide : Part I. Analysis of first-derivative potentiometric curves

Mathematical consideration of the course of neutralization of a solution containing a moles of a strong base (e.g. sodium hydroxide) and a moles of a salt of a weak dibasic acid (e.g. sodium carbonate) with a strong acid (e.g. hydrochloric acid) shows that the first derivative of the titration curve should contain three maxima. The first, corresponding to neutralization of most of the hydroxide, is small (with height proportional to a^{$\text{1}\text{2}$}), displaced slightly from the equivalence point, and disappears for a less than 0.01 mol l^-1. The second corresponds to the conversion of most of the CO₃^2- to HCO₃^- and its height is almost independent of a. The third corresponds to the conversion of HCO₃^- to H₂CO₃, with height proportional to a^{$\text{1}\text{2}$}. The two minima are independent of a and of the dissociation constants of the weak acid. These conclusions were examined experimentally and were extended to the titration of hydroxide contaminated with a small amount of carbonate.     

Über die Carotinoide Flavoxanthin und Chrysanthemaxanthin: 1H-NMR.-, 13C-NMR.- und Massen-Spektren und absolute Konfiguration. (Kritische Überprüfung veröffentlichter chemischer und physikalischer Daten)

On the Carotenoids Flavoxanthin and Chrysanthemaxanthin: ¹H-NMR., ¹³C-NMR. and Mass Spectra, Absolute Configuration, Survey of Published Data Very pure flavoxanthin ( 1 ) and chrysanthemaxanthin ( 2 ) have been reisolated from flower heads of Taraxacum officinale. Both compounds were characterized by chromatographic, chemical and chiroptical data and extensive NMR. measurements. Examination of many published data on 1 and 2 led to the conclusion that flavoxanthin has often been mistaken for chrysanthemaxanthin and vice versa. Chemical degradation of 1 and 2 to (?)-loliolide ( 5 ) coupled with NMR. evidence (ASIS, spin-decoupling, NOE) allowed the assignment of the absolute configurations of 1 and 2 . Thus (+)-flavoxanthin is (3S,5R,8R, 3′R,6′R)-5, 8-epoxy-5, 8-dihydro-β, ε-carotene-3, 3′-diol and (+)-chrysanthemaxanthin its C(8)-epimer.     

Construction of orbital angular momentum eigenfunctions for many-particle systems by harmonic projection

Formulas are derived which allow the direct construction of total orbital angular momentum eigenfunctions for many-particle systems without the use of Clebsch–Gordan coefficients. One of the equations is closely analogous to Dirac' identity for the total spin operator. This equation describes the action of L² on a function of the particle coordinates in terms of a class operator of the symmetric group and a "contraction operator." A general projection operator for constructing symmetric eigenfunctions of L² is presented.     

Longest cycles in generalized Buckminsterfullerene graphs

It is shown that every regular 3-valent polyhedral graph whose faces are all 5-gons and 6-gons contains a cycle through at least 4/5 of its vertices.