On shortness exponents of families of graphs

Some results on longest circuits on graphs of cell decompositions of closed 2-surfaces are presented. This work has been supported by the National Research Council of Canada.     

Anreicherung von Spurenelementen durch fraktionierte Extraktion des Hauptbestandteils

Zusammenfassung Es wird ein Verfahren zur Anreicherung zahlreicher Spurenelemente in Wismut angegeben. Durch selektive fraktionierte Extraktion des Wismuts aus jodidhaltiger Lösung mit Cyclohexanon erhält man ein Spurenkonzentrat, in dem die für eine Reinheitskontrolle im unteren ppm-Bereich wichtigen Elemente mit Hilfe photometrischer (Fe, Cu), polarographischer (Pb, M, Zn) und voltammetrischer (Zn, Pb) Verfahren bestimmt werden. Arsen wird elektrolytisch zu Arsin reduziert, abdestilliert und photometrisch als Molybdänblau bestimmt. Die relativen Standardabweichungen liegen bei 5–10%.

---

Summary A procedure is described for the enrichment of several trace elements in bismuth. The residue of the trace elements is obtained by a selective fractional extraction of the bismuth content with cyclohexanone from an iodide containing solution. The elements most important for a purity control in the lower ppm range are determined with photometric (Fe, Cu), polarographic (Pb, Ni, Zn) and voltammetric (Zn, Pb) procedures. Arsenic is determined by photometry as molybdenum blue after electrolytic reduction to arsine and distillation. The relative standard deviations are in the order of 5–10%.

---

---

II. Mitteilung: diese Z. 206, 269 (1964).     

Geometrien über Schiefkörpern mit involutorischem Antiautomorphismus

Ohne ZusammenfassungB. L. van derWaerden zu seinem 60. Geburtstag     

Atomic collision induced projectile excitation—Its application to identification of heavy ion fusion products

Collision induced X-rays are shown to be a useful tool to determine atomic numbers and yields of heavy ion fusion products. In the reaction⁵⁶Fe(¹³²Xe; xn, yp) the elements Hg, Au, and Pt are produced as primary fusion products. A resolving power Z/ΔZ of 72±7 has been obtained. Improvements and restrictions of the method are discussed.     

Cage Structure Formation of Singly Doped Aluminum Cluster Cations Al<Subscript><Emphasis Type="BoldItalic">n</Emphasis></Subscript><Emphasis Type="BoldItalic">TM</Emphasis><Superscript>+</Superscript> (<Emphasis Type="BoldItalic">TM</Emphasis> = Ti,V, Cr)

Structural information on free transition metal doped aluminum clusters, Al _n TM ⁺ (TM = Ti, V, Cr), was obtained by studying their ability for argon physisorption. Systematic size (n = 5 – 35) and temperature (T = 145 – 300 K) dependent investigations reveal that bare Al _n ⁺ clusters are inert toward argon, while Al _n TM ⁺ clusters attach one argon atom up to a critical cluster size. This size is interpreted as the geometrical transition from surface-located dopant atoms to endohedrally doped aluminum clusters with the transition metal atom residing in an aluminum cage. The critical size, n _crit , is found to be surprisingly large, namely n _crit = 16 and n _crit = 19 – 21 for TM = V, Cr, and TM = Ti, respectively. Experimental cluster–argon bond dissociation energies have been derived as function of cluster size from equilibrium mass spectra and are in the 0.1–0.3 eV range.