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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 336 (1990), S. 5-26 
    ISSN: 1434-601X
    Keywords: 21.60.Cs ; 21.60.Jz
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown how the spurious components due to the center of mass motion can be eliminated from general Hartree-Fock-Bogoliubov quasi-particle configurations with the help of projection techniques. The problem how to restore the additional symmetries being broken by such configurations is discussed. An explicit formulation is given for the spherical Hartree-Fock problem with center of mass momentum projection before the variation. As an example for the application of this method the ground state of4He is studied using two different interactions, a microscopic two-body one as well as a phenomenological one including a Skyrme-type three-body force. The results are compared to those of the usual approximate treatment of the center of mass motion in Hartree-Fock calculations. It turns out that, at least for the chosen example, the latter yields a rather reasonable approximation to the correct total energy, single particle energy and even the mass density provided that it is calculated from a translationally invariant density operator.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 337 (1990), S. 267-281 
    ISSN: 1434-601X
    Keywords: 21.60.Cs ; 21.60.Jz
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An expression is derived for the translationally invariant (transition-) charge density in the center of mass rest frame of the nucleus in between arbitrary wave functions. An explicit formulation is given for the charge density of spherically symmetric Hartree-Fock type ground states. The method is applied to the nuclei4He,16O,40Ca and90Zr using Woods-Saxon single nucleon orbits for the construction of the ground state wave functions. For the two lighter nuclei in addition realistic Hartree-Fock wave functions are investigated. The results are compared to those obtained with various approximate treatments of the center of mass motion. It turns out that at least in the lighter nuclei the usual center of mass correction, which is based on the assumption of pure non-spurious oscillator configurations and commonly used in the analysis of, e.g., electron scattering data, does not produce reliable (or even predictable) results. Thus here indeed the full translationally invariant treatment seems to be required. For the heavy nucleus90Zr on the other hand, as expected, the center of mass effects become negligibly small.
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  • 3
    ISSN: 1434-601X
    Keywords: 21.60.Cs ; 21.60.Jz
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Microscopic nuclear structure wave functions obtained within the EXCITED FED VAMPIR approach are used to calculate the charge densities for the ground states as well as the transition charge densities for the transitions from the ground to the first and second 2+ states in some doubly even Ge isotopes. The results are compared with the data extracted from elastic and inelastic electron scattering experiments. Except for the heavier isotopes, where the calculations fail to yield enough collectivity, rather nice agreement is obtained. This result strongly supports the theoretically predicted shape coexisting structures in the low spin states of the nuclei in this mass region.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 347 (1993), S. 87-92 
    ISSN: 1434-601X
    Keywords: 21.60.Cs ; 21.60.Jz
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The scalar part of the two-body density is calculated for the20Ne ground band and for the yrast 2+ state in68Ge as obtained by solving the Hartree-Fock-Bogoliubov problem with symmetry-projection before the variation. The nucleon pair structure of these states is analysed and the results obtained with different effective Hamiltonians are compared.
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  • 5
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 441 (1978), S. 125-164 
    ISSN: 0044-2313
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Formation of Organosilicon Compounds. 72. The Reactivity of Carbosilanes and their C-Chlorinated Derivatives in Reactions with CH3MgCl and LiCH3Reactions of (H3Si—CH2)2SiH2 1, (H2Si—CH2)3 2, (H3Si)2CCl2 3, (H3Si)2CHCl 4, H3Si—CCl2—SiH2-CH2-SiH3 5, and (H3Si—CCl2)2SiH2 6 as well as H3SiCH2Cl, H3SiCHCl2, and H3SiCCl3 with meMgCl and Lime (me = CH3) respectively are reported. In 1 and 2 by using tetrahydrofurane (THF) as a solvent, methylation to a higher degree is possible. The C-chlorination increases the activation of the Si—H group. Reactions of the C-chlorinated compounds result in Si—H substitution (maintaining of molecular frame), in cleavage and enlargement of the molecular frame and in transformation of CCl2 group into CHCl and CH2 groups respectively. Reactions with meMgCl in THF and with Lime in diethylether (Et2O) favour the cleavage of the molecular and the hydrogenation of the CCl2 group. The methylation of compound 5 occures on the Si—H groups neighbouring the CCl2 groups. The reactivity of these Si—H groups is decreased by increasing methylation. Reacting compound 6 with meMgCl in Et2O cleavage reations dominate. However, using cyclohexane as a solvent this cleavage reaction recedes in favour of the formation of 1,3,5-trisilapentane, containing a CCl2 group and a CHCl or a CH2 group. Thereby however, the methylation of only two SiH groups is observed. The 1H-, 29Si-, and 13C-n.m.r. data allow an assessment of progressing SiH-methylation within the homologous series.
    Notes: Es wird über Umsetzungen von (H3Si—CH2)2SiH2 1, (H2Si—CH2)3 2, (H3Si)2CCl2 3, (H3Si)2CHCl 4, H3Si—CCl2—SiH2—CH2-SiH3 5 und (H3Si—CCl2)2SiH2SiH2 6 sowie von H3Si—CH2Cl, H3Si—CHCl2, H3Si—CCl3 mit meMgCl bzw. Lime (me = CH3) berichtet. In 1 und 2 werden durch Verwendung von Tetrahydrofuran (THF) als Lösungsmittel höhere Methylierungsstufen ermöglicht. Die C-Chlorierung bewirkt eine Aktivierung der Si—H-Gruppe. Die C-chlorierten Verbindungen reagieren unter Si—H Substitution (Erhalt des Molekülgerüstes), unter Spaltungen und Vergrößerungen des Molekügerüstes und unter Hydrierung der CCl2-Gruppe zu der CHCl- bzw. CH2-Gruppe. Bei Umsetzungen mit meMgCl in THF oder mit Lime in Diäthyläther (Et2O) werden Reaktionen begünstigt, die unter Molekülspaltung und CCl2-Hydrierung ablaufen. In 5 beginnt die Methylierung an den der CCl2-Gruppe benachbarten SiH-Gruppen, deren Reaktionsfähigkeit mit steigendem Methylierungsgrad sinkt. Bei 6 bestimmen die Si—C-Spaltungen den Reaktionsablauf (Umsetzung mit meMgCl in Et2O), der aber durch Verwendung von Cyclohexan als Lösungsmittel zurückgedrängt wird zugunsten der Bildung von 1,3,5-Trisilapentanen mit einer CCl2- und einer CHCl- oder CH2-Gruppe, wobei aber nur maximal die Methylierung von zwei SiH-Gruppen erreicht wird. Die 1H-, 29Si- und 13C-NMR-Daten erlauben eine Abschätzung des Verlaufs der SiH-Methylierung innerhalb der homologen Reihen.
    Additional Material: 5 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 345 (1966), S. 93-105 
    ISSN: 0044-2313
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: The preparation, structure, thermal decomposition and IR spectrum of (Me3Si)2NH → MCl3 (M = Al, Ga) and (Me3Si)3N → AlCl3 (Me = CH3) are reported. Attemps to prepare [(Me3Si)4N]+[SbF6]- are described. From the IR spectrum of (Me3Si)2NH → MCl3 the force constant of the Si—N single bond has been calculated to be 2.87 ± 0.13 mdyn/Å.
    Notes: Es werden Darstellung, Struktur, Thermolyse und Infrarotspektren der Ammoniumverbindungen (Me3Si)2NH → MCl3 (M = Al, Ga) und (Me3Si)3N → AlCl3 (Me = CH3) sowie Darstellungsversuche für [(Me3Si)4N]+[SbF6]- beschrieben. Als Ergebnis einer quantitativen Auswertung der Infrarotspektren im Falle der Verbindungen (Me3Si)2NH → MCl3 ließ sich die Kraftkonstante der Si—N-Einfachbindung zu 2.87 ± 0.13 mdyn/Å festlegen.
    Additional Material: 1 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 394 (1972), S. 197-208 
    ISSN: 0044-2313
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Beryllium dichloride, magnesium dihalide (hal = Cl, Br, J), boron trihalide (hal = F, Cl, Br) and aluminium trichloride are transformed by trimethylsilyl azide in methylen chloride and ether, respectively, to dimer beryllium chloride azide etherate, polymer beryllium diazide, polymer magnesium halide azide, trimer boron dihalide azide, monomer (in CH3Cl2) aluminium dichloride azide and polymer aluminium chloride diazide, respectively. Magnesium diazide and aluminium triazide are formed by azidation of magnesium diiodide and aluminium trichloride only in connection with magnesium iodide azide and aluminium chloride diazide, respectively. Unlike the covalent azides of beryllium, boron and (possibly) aluminium with α-azido brigdes, the azides of magnesium contain azide ions.
    Notes: Berylliumdichlorid, Magnesiumdihalogenid (Hal = Cl, Br, J), Bortrihalogenid (Hal = F, Cl, Br) bzw. Aluminiumtrichlorid lassen sich mit Trimethylsilylazid in Methylenchlorid bzw. Äther in dimeres Berylliumchloridazid-Ätherat, polymeres Berylliumdiazid, polymeres Magnesiumhalogenidazid, trimeres Bordihalogenidazid, monomeres (in CH2Cl2) Aluminiumdichloridazid bzw. polymeres Aluminiumchloriddiazid überführen. Magnesiumdiazid bzw. Aluminiumtriazid bilden sich durch Azidierung von Magnesiumdijodid bzw. Aluminiumtrichlorid nur im Gemisch mit Magnesiumjodidazid bzw. Aluminiumchloriddiazid. Zum Unterschied von den kovalent gebauten Aziden des Berylliums, Bors und (möglicherweise) Aluminiums mit α-Azidbrücken, enthalten die Azide des Magnesiums ionogen gebundenes Azid.
    Additional Material: 2 Tab.
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  • 8
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 623 (1997), S. 1499-1500 
    ISSN: 0044-2313
    Keywords: Methylindium Compound ; Heterocubane ; Synthesis ; X-ray Structure ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The X-Ray Structure Determination of tert-Butylimido Methylindane, [CH3In—NC(CH3)3]4The reaction of MeInCl2 with LiN(H)tBu in a 1 : 2 molar ratio forms [MeIn—NtBu]4 in high yield, lithium chloride, and the free amine H2NtBu. The crystal structure of the imidomethylindane with a cubic In4N4 skeleton has been determined.
    Additional Material: 1 Ill.
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