The 22Ne(d,n) 23Na reaction

Absolute differential cross sections are determined for 32 states from the ²²Ne(d, n) ²³Na reaction by the neutron time-of-flight method. A gaseous ²²Ne target was bombarded with 5.5 MeV deuterons and angular distributions taken from 0° to 160°. In addition yield curves were taken at a fixed angle of 10° in 0.5 MeV steps from 2.5 to 5.5 MeV. The analysis of both types of data used computer programs for DWBA and compound-nucleus calculations. With two exceptions and three additions the l_p values determined in the present experiment agree with those of a recent (τ, d) experiment on the same target nucleus. The two previous (τ, d) experiments show considerable differences in proton transfer strengths to various states. The present experiment agrees well with the one which showed generally lower strengths for individual states, and hence with an assumption of greater spreading of the single-particle strength. The implications of those results on the Nilsson-model scheme for ²³Na are discussed.     

Conformational studies on pyranoid sugar derivatives by NMR spectroscopy. Correlations of observed proton—proton coupling constants with the generalized Karplus equation

Proton spin-spin coupling values measured for a wide range of tetrasubstituted tetrahydropyran ring-systems obtained from aldopentopyranose sugars have been correlated with values calculated from a generalized version of the Karplus equation which takes into account the electronegativities of the various atoms in the molecule and the configurations of these substituents. Minor discrepancies between observed and calculated values can be attributed to slight flattening of the tetrahydropyran ring as a result of steric interactions of the substituents. The magnitude of the geminal coupling J_5e,5a of these aldopentopyranose derivatives provides a rough measure of the conformational population; when H-4 is axial [Cl(D) or 1C(L ) conformation] J_5e,5a is ～10.9 Hz, and is ～13.4 Hz when H-4 is equatorial [1C(D ) or Cl(L ) conformation].     

Studies of cyclic acetals. XXIII—low resolution,electron impact mass spectra of some 6,8-dioxa-3-thiabicyclo[3.2.1]octanes and related 2-acetoxy, 3-oxo and 3,3-dioxo derivatives

Low resolution, electron impact mass spectra of 6,8-dioxa-3-thiabicyclo[3.2.1]octane and eight C-methyl or -phenyl derivatives are, in the main, similar to those of the corresponding 3,6,8-trioxa homologs. Oxygenation on C-2 or on the sulfur atom decreases the number of prominent fragments in the scheme of decomposition and apparently affords greater opportunity for formation of small, stable, acylium ions, but the added oxygen atoms generally do not direct major new modes of fragmentation.     

A further result on the core of voting games

LetN be a set of individuals,A a closed bounded interval ofRe. Using a former result ofNakamura, it is shown that if every individual inN has a quasi-concave utility function overA, then a proper simple game has a non-empty core which is a convex set. In particular, the majority core is explicitly characterized. When every individual inN has a strictly quasi-concave utility function overA, then it is shown that the local core in a proper simple game is precisely the core.     

Puintuplication of Room squares

Given a strong starter for a groupG of ordern, where 3 does not dividen, a construction is given for a strong starter for the direct sum ofG and the integers modulo 5. In particular, this gives a Room square of side 5p for all non-Fermat primesp.