Mixed strategy solutions forN-person quadratic games

Mixed strategy -equilibrium points are given forN-person games with cost functions consisting of quadratic, bilinear, and linear terms and strategy spaces consisting of closed balls in Hilbert spaces. The results are applied to linear-quadratic differential games with no information and quadratic integral constraints on the control functions.This work was supported by a Commonwealth of Australia, Postgraduate Research Award.     

Superconductivity in copper, silver, and gold compounds

High-temperature superconductivity exists in layered, square-planar cuprates, but is almost absent in most other Cu(II) compounds and in most Ag(II) and Au(II) compounds. Valence state II is quite unusual in silver and gold and often disproportionates to valence states I and III ("negative-U compounds"). The two-electron difference in oxidation state is suggestive of electron pairing, a prerequisite for superconductivity. In the present paper the connection between disproportionation and geometrical structure on one hand and superconductivity on the other is discussed by using the accepted theory for mixed valence complexes. It is concluded that absence of superconductivity in gold and silver compounds can be connected to the instability of oxidation state II and the large difference in equilibrium geometry between oxidation states I and III.     

Bola型阴离子表面活性剂与溴化十二烷基三乙铵混合体系的表面性质与聚集行为

研究了具有简单结构的bola型阴离子表面活性剂二十酸二钠（C_(20)Na_2)与 阳离子型普通表面活性剂溴化十二烷基三乙铵（C_(12)Et_3）混合体系的表面性质 ，发现混合体系的cmc和γ_(cmc)比C_(12)Et_3单一体系未有显著降低。以负染色 ，FF-TEM，动态光散射（DLS）及粘度方法研究了混合体系的聚集行为，发现混合 体系中同时形成球形囊泡和管状聚集体，提出了产生这种聚集行为的机制。     

Acidichromism in the Mixed Langmuir—Blodgett Films of Stearic Acid with a Carbazole—containing Schiff Base

ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｖｅｒｓｉｂｌｅｃｏｌｏｒｃｈａｎｇｅｓｕｐｏｎｅｘｔｅｒｎａｌｏｒｉｎｔｅｒｎａｌｓｔｉｍｕｌａｔｉｏｎｓｈａｖｅｂｅｅｎａｔｔｒａｃｔｉｎｇｍｕｃｈａｔｔｅｎｔｉｏｎｄｕｅｔｏｔｈｅｉｒｕｔｉｌｉｔｙａｓｆｕｎｃｔｉｏｎａｌｍａｔｅｒｉａｌｓ .Ｆｏｒｅｘａｍｐｌｅ ,ｐｈｏ ｔｏｃｈｒｏｍｉｓｍｄｅｓｃｒｉｂｅｓｔｈｅｃｏｌｏｒｃｈａｎｇｅｓｉｎｄｕｃｅｄｂｙｐｈｏ ｔｏｉｒｒａｄｉａｔｉｏｎａｎｄｃａｎｂｅｕｓｅｄａｓｐｈｏｔｏ ｒｅｃｏｒｄｉｎｇｍａｔｅｒｉ ａｌｓ…     

Complete immiscibility in binary cholesteryl-n-carboxylic acid ester/stearic acid monolayers at the water/air interface

Applying different surface and spreading techniques to form binary monolayers in a different mixing state, the mixing behavior of the three binary systems cholesteryl formiate/stearic acid, cholesteryl acetate/stearic acid, and cholesteryl-n-propionate/stearic acid were investigated and compared.Analyzing the force ()/area (a) isotherms and the equilibrium spreading pressures (^e of the binary monolayers, it can be concluded that the components of the three binary systems do not mix within the whole concentration range. The lipids in the binary monolayers are completely immiscible.     

分光光度法同时测定中草药中的钼和铜

本文建立了在混合显色剂（ＰＦ＋ＰＡＮ）的胶束体系中，利用分光光度法同时测定中草药中的钼和铜。实验表明：在混合体系中，钼量在０～１０μｇ／２５ｍＬ，铜量在０～５０μｇ／２５ｍＬ的范围内符合比尔定律，ε′Ｍｏ＝９．２×１０４Ｌ·ｍｏｌ－１·ｃｍ－１；ε′Ｃｎ＝１．５×１０４Ｌ·ｍｏｌ－１·ｃｍ－１。该法用于中草药样品的分析，结果满意，回收率可达９２～１１１％。     

Synthesis, Electrical Properties, and Powder Neutron Crystal Structure Refinement of Pb1−xBixPt2O4 Compounds (0≤x≤0.3)

Substitution of Pb for Bi in the recently characterized mixed-valence lead-platinum oxide PbPt₂O₄ was attempted and a Pb_1−xBi_xPt₂O₄ solid solution was obtained for 0≤x≤0.3. Powder X-ray diffraction study showed that all substituted compounds crystallize with similar triclinic unit cell and PbPt₂O₄ lattice parameters. The structural model of Pb_0.7Bi_0.3Pt₂O₄ was refined from powder X-ray diffraction data using the Rietveld method and the results indicate the same crystal structure than PbPt₂O₄ with one mixed Pb/Bi atomic site. Neutron diffraction realized on the two limit compositions of the solid solution (x=0 and 0.3) allowed to confirm the PbPt₂O₄ and Pb_0.7Bi_0.3Pt₂O₄ stoichiometries. Mean oxidation degree of Pt atoms in the [PtO₄] infinite chains decreases from +3 for PbPt₂O₄ to +2.7 for Pb_0.7Bi_0.3Pt₂O₄. Conductivity measurements show a metallic behavior for all the compositions except the limit composition x=0.3 for which a semiconducting behavior appears.     

Mixed valency in the high-temperature phases of transition metal molybdates, A MoO4 ( A =Fe, Co, Ni)

Transition metal molybdates of the formulaAMoO₄ whereA=Fe, Co or Ni exhibit a first-order phase transition between 670K–970K. An investigation of the lowtemperature (lt) and high-temperature (ht) phases by x-ray photoelectron spectroscopy, x-ray absorption spectroscopy, magnetic susceptibility and other physical methods shows that the phase transition is associated with a valence change of the typeA ²⁺+Mo⁶⁺αA ³⁺+Mo⁵⁺ in the cases of iron and cobalt molybdates. Contribution No. 311 from the Solid State and Structural Chemistry Unit.     

Topotactic reversible phase transition between room-temperature and a new low-temperature modification in the MCl3(THF)3 system

Both single crystals of VCl₃(THF)₃ as well as isotypic cocrystals of the composition MCl₃(THF)₃, M=Ti/V 1/3, undergo a topotactic reversible phase transition to a hitherto unknown low-temperature modification. The close relationship between this new structure and the room-temperature phase determined by Cottonet al. is discussed from the molecular and the intermolecular point of view: Both modifications are built up by conformationally very similar molecules which change their arrangement during the phase transition. Lattice energy calculations confirm that these two alternative arrangements correspond to minima of almost the same packing energy.Dedicated to Professor Dr. G. E. Herberich on the occasion of his 60th birthday.     

Methane production from synthesis gas using a mixed culture ofR. rubrum M. barkeri,and M. formicicum

The components of synthesis gas, CO, H₂, and CO₂, may be converted into CH₄ biologically through either acetate or H₂/CO₂ as intermediates. Of these two routes, conversion through H₂/CO₂ is preferred. This paper presents results of mixed-culture studies employing the photosynthetic bacteriumR. rubrum for converting CO to CO₂ and H₂ by the water gas shift reaction and two methanogens,M. formicicum andM. barkeri, for converting CO₂ and H₂ into CH₄. Results are presented for triculture operation in two types of reactors, the packed bubble column and the trickle-bed reactor.