Homoatomic Bonding of Main Group Elements

Clusters of main group elements are not rare. On the contrary, it is becoming difficult to avoid the discovery of new substances of this type. Clusters are the natural intermediate stages between an element and its isolated atoms or ions. In the form of polycations and polyanions they offer models for the stepwise oxidation and reduction of an element and represent a bridge between the elements. The great majority of homonuclear bonded structures are already present in the solid phases of simple systems. Mobilization of these clusters as molecules represents a great challenge.     

Maximizing a lower bound on the computational complexity

We solve a combinatorial problem that arises in determining by a method due to Engeler lower bounds for the computational complexity of algorithmic problems. Denote by G_d the class of permutation groups G of degree d that are iterated wreath products of symmetric groups, i.e. G = S_dh?11?1S_d0 with Π^h?1_i=0d_i = d for some natural number h and some sequence (d₀,…,d_h?1) of natural numbers greater than 1. The problem is to characterize those G = S_dh?11?1S_d0 in G_d on which k(G):=log|G|/max_0≤i≤h?1log(d_i!) assumes its maximum. Our solution consists of two necessary conditions for this, namely that d₀≤d₁≤?≤d_h and that d_h is the largest prime divisor of d. Consequently, if d is a prime power, say d = p^h with p prime, then a necessary and sufficient condition is that d_i = p, 0 ≤ i ≤ h ? 1.     

DieK-Fluoreszenzausbeute von Titan und der Zerfall des48Vanadium

TheK-fluorescence yieldΩ _K of Titanium has been measured using the coincidence method and investigating the electron capture decay of⁴⁸V. The detectors used have been a Si(Li)- and a Ge(Li)-detector for the X- andγ-rays. The experimental results areP _K Ω _K =0.2005 ±0.0030 andΩ _K (Ti)=0.224±0.003 usingP _K =0.896. For the branching ratios of the decay of⁴⁸V we obtainedEC (3.239) 7.9±0.6%EC (3.224) 2.9±0.4%EC (2.295) 35.6±2.0% Β⁺ (2.295) 52±1.0% all others 1.6%. Additionally someγ-ray-energies of the decay of⁴⁸V and the half-life,T _{1 2}=(16.23 ±0.03)d, have been measured.     

Über die Anzahl der ordnungsgeometrischen Scheitel von Kurven. Teil I

Ohne Zusammenfassung

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Herrn Professor Dr. Dr. h.c. mult. Otto Haupt mit den besten Wünschen zum 100. Geburtstag gewidmet     

Deformationen holomorpher Faserungen

Ohne Zusammenfassung