Upper bounds for the risk in the α — t utility function

Fishburn's α — t model is an important example of a utility function involving a target for a random variable. Simple upper bounds for the risk function in this model are proposed for cases in which the probability distribution is either unknown, or produces complicated or intractable statements of the model.     

Transition metal complexes with bidentate ligands spanning trans-positions. Part XIV. Some complexes of 2,11-bis(diphenylphosphinomethyl)benzo[c]phenanthrene with platinum (0) and their reactivities

The ligand 2,11-bis(diphenylphosphinomethyl)benzo[c]phenanthrene ( 1 ) has been used to prepare complexes of the type [PtL( 1 )] (L ? C₂H₄, CH₂?CH? CO₂Me, PhC?CPh, MeC?CMe, MeO₂CC?CCO₂Me, (i-Pr)O₂CC?CCO₂(i-Pr), Ph₃P and CO). It is shown that these complexes are less labile than the corresponding species [PtL(Ph₃P)₂]. The preparation of complexes trans-[PtX(R)(1)] by oxidative addition of RX (RX ? PhCH₂Br and Mel) to [Pt(C₂H₄)(1)] is described. The isolation of [PtO₂(CH₃)₂CO(1)] is also reported.     

Metalloprotein association,self-association,and dynamics governed by hydrophobic interactions: simultaneous occurrence of gated and true electron-transfer reactions between cytochrome f and cytochrome c(6) from Chlamydomonas reinhardtii

Noninvasive reconstitution of the heme in cytochrome c(6) with zinc(II) ions allowed us to study the photoinduced electron-transfer reaction (3)Zncyt c(6) + cyt f(III) --> Zncyt c(6)(+) + cyt f(II) between physiological partners cytochrome c(6) and cytochrome f, both from Chlamydomonas reinhardtii. The reaction kinetics was analyzed in terms of protein docking and electron transfer. In contrast to various protein pairs studied before, both the unimolecular and the bimolecular reactions of this oxidative quenching take place at all ionic strengths from 2.5 through 700 mM. The respective intracomplex rate constants are k(uni) (1.2 +/- 0.1) x 10(4) s(-1) for persistent and k(bi) (9 +/- 4) x 10(2) s(-1) for the transient protein complex. The former reaction seems to be true electron transfer, and the latter seems to be electron transfer gated by a structural rearrangement. Remarkably, these reactions occur simultaneously, and both rate constants are invariant with ionic strength. The association constant K(a) for zinc cytochrome c(6) and cytochrome f(III) remains (5 +/- 3) x 10(5) M(-1) in the ionic strength range from 700 to 10 mM and then rises slightly to (7 +/- 2) x 10(6) M(-1), as ionic strength is lowered to 2.5 mM. Evidently, docking of these proteins from C. reinhardtii is due to hydrophobic interaction, slightly augmented by weak electrostatic attraction. Kinetics, chromatography, and cross-linking consistently show that cytochrome f self-dimerizes at ionic strengths of 200 mM and higher. Cytochrome f(III) quenches triplet state (3)Zncyt c(6), but its dimer does not. Formation of this unreactive dimer is an important step in the mechanism of electron transfer. Not only association between the reacting proteins, but also their self-association, should be considered when analyzing reaction mechanisms.     

Verhalten des Kupferoxydammoniaks zu Alkaloiden, speciell zu Morphin

Ohne Zusammenfassung     

Structural phase transition in the 2D spin dimer compound SrCu 2 ( BO 3 ) 2

A displacive, 2nd order structural phase transition at T _s = 395 K from space group I 2 m below T _s to I 4/m c m above T _s has been discovered in the two-dimensional spin dimer compound SrCu₂(BO₃)₂. The temperature evolution of the structure in both phases has been studied by X-ray diffraction and Raman scattering, supplemented by differential scanning calorimetry and SQUID magnetometry. The implications of this transition and of the observed phonon anomalies in Raman scattering for spin-phonon and interlayer coupling in this quantum spin system will be discussed. Received 24 July 2000 and Received in final form 2 November 2000