Automerizations in benzenoid hydrocarbons. New mechanistic insights from the thermal rearrangement of benz[a]anthracene-5-13C.

Scrambling of the carbon atoms in benz[a]anthracene between positions 5 and 6 has been shown to occur at high temperatures; a mechanism involving thermal generation of a carbene is proposed.     

Liquid solubilization dynamics: Oleic acid in bile salt

The solubilization dynamics of oleic acid by aqueous sodium taurodeoxycholate solutions at 37°C does not conform to previous resistance in series models involving diffusion and interfacial steps. This is especially true as the ionic strength of the aqueous solution is increased by adding NaCl or by increasing the taurodeoxycholate concentration above 2%. Experiments conducted with a liquid/liquid stirred cell show that as the ionic strength is increased, the flux of oleic acid into the aqueous solution exceeds a reasonable value for the diffusion limit, assuming that oleic acid diffuses only in mixed micelles, and that the flux becomes independent of flow at these high ionic strengths. Two alternative models for the solubilization process are proposed. One involves a rapid exchange of oleic acid between mixed micelles and oleic acid free micelles in parallel with mixed micelle diffusion; and the second involves formation of a small emulsion droplet at the interface, which contains significantly more oleic acid than a mixed micelle, and which rapidly dissolves into micellar solution as the droplet leaves the interface.     

On Modeling the Single Motor Unit Action Potential

A model has been proposed for the generation of single motor unit potentials routinely observed in the clinical EMG examination of the normal biceps brachii muscle. A dipole representation was chosen for the single fiber activity. The motor unit was constructed from a uniform random array of single fibers. Motor unit potentials generated by this array have been observed at various distances both inside and outside the array. The effects of single fiber dipole axial dispersions on the potentials observed at increasing distances from the array have also been investigated. Motor unit potentials generated by the model have been compared with existing data from multielectrode studies in the biceps brachii.     

ESR identification of a new N2− defect in X-ray irradiated NaN3

A relatively weak ESR spectrum is observed in single crystals of NaN₃ after X-ray irradiation at 77 K. This spectrum, which has an anisotropic g value and exhibits a resolved 5-line hyperfine structure with components in the ratio 1:2:3:2:1, corresponds to a single unpaired electron interacting symmetrically with two spin-one nuclei, in three inequivalent sites. The spin-Hamiltonian parameters are: g_x = 2.0054 ± 0.0005, g_y = 2.0045 ± 0.0005, g_z = 1.9688 ± 0.0005, |A_x| = 4.0 ± 0.2 G, |A_y| = 20.0 ± 0.2 G, and |A_z| = 4.9 ± 0.2 G, c-axis, and y is perpendicular to the c-axis. This spectrum, which is clearly different from that of substitutional N₂^?reported by Gelerinter and Silsbee, is attributed to interstitial N₂^?.     

Constraint relations in two-tensor gravity

A 3 + 1-dimensional decomposition is made of a two-tensor theory of gravity proposed by Salam et al. It is found that the gauge invariance roles of the two tensors are very symmetric, so that the massiveness or masslessness of the fields is ambiguous. Constraint equations are derived by elimination of gauge variables. The form of the constraints casts doubt on the sign of the total energy of the theory.     

Locally compact abelian groups with trivial multiplier group

LCA groups with trivial multiplier group are characterized. It is found that every LCA group with nontrivial multiplier group has an “irreducible” quotient with the same property, and the irreducible groups are described.     

The distributed-lumped-active network Its application to filtering problems

The development of modern integrated circuit techniques has added a new and important network element to the list of those usually considered by the filter designer?the distributed RC network. This article discusses the properties of such networks and shows how they can be combined with lumped passive elements and active elements to produce a class of distributed-lumped-active (DLA) networks. Such networks can be applied to a wide range of filter requirements and have many advantages. For example, DLA realizations usually require fewer components than comparable realizations using lumped elements. Because partial differential equations are required to model distributed components, many new techniques of analysis and synthesis must be used in the design of DLA networks. A discussion of these techniques, including many that may be implemented on the digital computer, is presented and examples of some typical DLA realizations are given.