A Tracking Controller for a Certain Class of Nonlinear Systems

Controller design methods based on flatness and passivity are well established. These methods are applied to PCHD systems such that flatness is used to achieve a high tracking performance and passivity ensures disturbance rejection and robustness. Since the error system, written in displacement coordinates, is not a PCHD system in general, we present conditions, which ensures this property. Therefore, one can apply methods from passivity control to stabilize the error dynamics. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

[{Cp*(CO)2Fe}6Sn6O8]2+, ein kationischer Zinnoxocluster mit metallorganischen Substituenten

[{Cp*(CO)₂Fe}₆Sn₆O₈]²⁺, a Cationic Tin Oxo Cluster with Organometallic Substituents The reaction of [{Cp*(CO)₂Fe}SnCl₃] 1 (Cp^* = Pentamethylcyclopentadienyl) with Ag₂O in acetone leads to the formation of [{Cp*(CO)₂Fe}₆Sn₆O₈][AgCl₂]₂( 2 ). 2 contains the novel tin oxo cluster cation [{Cp*(CO)₂Fe}₆Sn₆O₈]²⁺ which consists of six {Cp*(CO)₂Fe}Sn‐groups bridged by eight μ₃ oxygen atoms (Sn—O = 209.2(3)‐212.5(3) pm). The resulting Sn₆O₈ cage exhibits a distorted rhombodocahedral structure. The [AgCl₂]^— anion is essentially linear with a Ag—Cl bond length of 250.3(3) pm.     

Taxiphyllin from Henriettella fasci­cularis

(2R)‐α‐(β‐d ‐Gluco­pyran­osyl­oxy)‐4‐hydroxy­benzene­aceto­nitrile (taxiphyllin) dihydrate, C₁₄H₁₇NO₇·2H₂O, is a naturally occurring cyano­genetic glycoside which has been isolated from Henriettella fascicularis (Sw.) C. Wright (Melastomataceae). Its structure is stabilized by a wealth of intermolecular O—H⃛O and O—H⃛N hydrogen bonds spun into a three‐dimensional network. Further stabilization arises from an intramolecular O—H⃛O bond and weak intermolecular C—H⃛O interactions. The very anisotropic growth speeds of the basal pinacoids from methanol mirror a certain structural inhomogeneity.     

Lithiierte Phosphanimin‐Komplexe. Die Kristallstrukturen von [LiCH(Me)PEt2NSiMe3]4 und des Cuprats [Li{Me3SiNPMe2CH2–Cu–CH(SiMe2OLi)PMe2NSiMe3}]2

Lithiated Phosphoraneimine Complexes. Crystal Structures of [LiCH(Me)PEt₂NSiMe₃]₄ and of Cuprate [Li{Me₃SiNPMe₂CH₂–Cu–CH(SiMe₂OLi)PMe₂NSiMe₃}]₂ [LiCH(Me)PEt₂NSiMe₃]₄ ( 1 ) has been obtained as colorless, oxygen and moisture sensitive crystals from the reaction of the silylated phosphoraneimine Me₃SiNPEt₃ with ⁿbutyllithium in ⁿhexane at 0 °C. 1 crystallizes in the tetragonal space group I4₁/acd with eight formula units per unit cell. Lattice dimensions at –80 °C: a = b = 1505.2(1), c = 4747.4(6) pm, R₁ = 0.0278. 1 forms a Li₄ tetrahedron, the faces of which are capped with the carbon atoms of the carbanionic ‐CH(Me)‐ groups. The nitrogen atoms occupy the corners of the Li₄ tetrahedron by means of “inner solvation”. The cuprate [Li{Me₃SiNPMe₂CH₂–Cu–CH(SiMe₂OLi)PMe₂NSiMe₃}]₂ ( 4 ) has been obtained from the known [LiCH₂PMe₂NSiMe₃]₄ and copper(I) iodide in the presence of silicon grease (‐OSiMe₂‐)_n in diethylether, forming colorless oxygen and moisture sensitive crystals. 4 crystallizes in the triclinic space group P 1 with one formula unit per unit cell. Lattice dimensions at –50 °C: a = 1025.4(2), b = 1145.5(2), c = 1261.0(2) pm, α = 65.19(1)°, β = 79.55(1)°, γ = 77.94(1)°, R₁ = 0.039. 4 forms a centrosymmetric dimeric molecule with a central Li₂O₂ four‐membered ring, the oxygen atoms of which are connected by ‐SiMe₂‐ bridges with the cuprate fragment > CH–Cu–CH₂‐.     

Investigations of Structure and Stability of the Tetrachlorinedecaoxide Anion Complex (TCDO)

Raman spectroscopic and ³⁵Cl‐NMR scans of Hydro‐Xan®, a preparation containing the biocatalytically effective Tetrachlorinedecaoxide anion (TCDO), are described. The spectroscopic analyses showed that HydroXan® does not contain chlorite initially used in the preparation anymore. Furthermore, a structure of four equal chlorate‐like ClO₃‐groups was indicated for TCDO by the scans. Such a structure is supported by the long‐term stability of HydroXan® found at tests over 267 days.     

Diacetonalkohol‐Komplexe von Lanthanoid‐Trichloriden. Die Kristallstrukturen von [LnCl3(DAA)2] mit Ln = Sm und Eu

Diacetone Alcohol Complexes of Lanthanide Trichlorides. Crystal Structures of [LnCl₃(DAA)₂] with Ln = Sm and Eu The diacetone alcohol complexes [LnCl₃(DAA)₂] with Ln = samarium ( 1 ) and europium ( 2 ) are obtained from the waterfree metal trichlorides with excess diacetone alcohol (4‐hydroxy‐4‐methyl‐2‐pentanone = DAA) forming colourless ( 1 ) and pale yellow crystals ( 2 ), respectively, which are characterized by crystal structure determinations. The europium compound 2 is additionally described by its vibrational spectra (IR, Raman). 1 and 2 crystallize isotypically with one another. The metal atoms of the molecular complex units are unusually coordinated in a distorted pentagonal‐bipyramdial fashion by the three chlorine atoms and by the two alcoholic oxygen atoms of the DAA molecules in the equatorial plane. The apical positions are occupied by the carbonyl oxygen atoms of the chelating DAA molecules. The complex units [LnCl₃(DAA)₂] are associated along [100] by bifurcated —OH···Cl···HO— bridges to form chains. 1 : Space group P2₁, Z = 2, lattice dimensions at —80 °C: : a = 710.2(1), b = 1617.6(2), c = 827.3(1) pm; β = 106.36(1)°; R₁ = 0.026. 2 : Space group P2₁, Z = 2, lattice dimensions at —80 °C: a = 709.7(1), b = 1614.5(2), c = 825.7(1) pm; β = 106.40(1)°; R₁ = 0.0303.     

Determination of Fluorescence Cross‐Sections of Biological Aerosols

Biological aerosols like pollen or bacteria can be differentiated from non‐biological aerosols as dust by fluorescence. Several organic substances contained in biological particles emit fluorescence light if they are illuminated with ultraviolet light. An instrument has been developed which generates aerosols of individual bacteria, illuminates them with light in the range of wavelengths from 220 to 570 nm and detects the spectra of fluorescence. The instrument has been tested on different species of bacteria showing that their fluorescence spectra are different.     

Hydrogen‐Bonding in Cyclic 2‐(3‐Oxo‐3‐phenylpropyl)‐Substituted 1,3‐Diketones: 17O‐NMR Spectra and X‐Ray Structure Determination

Structures of cyclic 2‐(3‐oxo‐3‐phenylpropyl)‐substituted 1,3‐diketones 4a – c were determined by ¹⁷O‐NMR spectroscopy and X‐ray crystallography. In CDCl₃ solution, compounds 4a – c form an eight‐membered‐ring with intramolecular H‐bonding between the enolic OH and the carbonyl O(11)‐atom of the phenylpropyl group, as demonstrated by increased shielding of specifically labeled 4a – c in the ¹⁷O‐NMR spectra (Δδ(¹⁷O(11))=36 ppm). In solid state, intermolecular H‐bonding was observed instead of intramolecular H‐bonding, as evidenced by the X‐ray crystal‐structure analysis of compound 4b . Crystals of compound 4b at 293 K are monoclinic with a=11.7927 (12) Å, b=13.6230 (14) Å, c=9.8900 (10) Å, β=107.192 (2)°, and the space group is P2₁/c with Z=4 (refinement to R=0.0557 on 2154 independent reflections).