ac Conductivity of mixed spinel NiAl0.7Cr0.7Fe0.6O4

ac Conductivity measurements are carried out across the metal to insulator transition in NiAl_0.7Cr_0.7Fe_0.6O₄. The low frequency data is analyzed using Summerfield scaling theory for hopping conductivity. The exponent of the scaling behavior has significantly different values in the conducting and insulating regimes. The hopping frequency and the zero frequency conductivity are found to increase with temperature, slowly in the metallic regime and rapidly in the insulating regime.     

Open- and closed-loop aberration correction by use of a quadrature interferometric wave-front sensor

Experimental results are presented for an adaptive optics system based on a quadrature Twyman-Green interferometric wave-front sensor. The system uses a circularly polarized reference beam to form two interferograms with a pi/2 phase shift. The experiments conducted used Kolmogorov phase screens to simulate atmospheric phase distortions. Strehl ratio improvements by a factor of 8, to an absolute value of 0.45, are demonstrated.     

The hydroxide complex of Pseudomonas aeruginosa heme oxygenase as a model of the low-spin iron(III) hydroperoxide intermediate in heme catabolism: 13C NMR spectroscopic studies suggest the active participation of the heme in macrocycle hydroxylation

13C NMR spectroscopic studies have been conducted with the hydroxide complex of Pseudomonas aeruginosa heme oxygenase (Fe(III)-OH), where OH(-) has been used as a model of the OOH(-) ligand to gain insights regarding the elusive ferric hydroperoxide (Fe(III)-OOH) intermediate in heme catabolism at ambient temperatures. Analysis of the heme core carbon resonances revealed that the coordination of hydroxide in the distal site of the enzyme results in the formation of at least three populations of Fe(III)-OH complexes with distinct electronic configurations and nonplanar ring distortions that are in slow exchange relative to the NMR time scale. The most abundant population exhibits a spin crossover between S = (1)/(2) and S = (3)/(2) spin states, and the two less abundant populations exhibit pure, S = (3)/(2) and S = (1)/(2), (d(xy)())(1) electronic configurations. We propose that the highly organized network of water molecules in the distal pocket of heme oxygenase, by virtue of donating a hydrogen bond to the coordinated hydroxide ligand, lowers its ligand field strength, thereby increasing the field strength of the porphyrin (equatorial) ligand, which results in nonplanar deformations of the macrocycle. This tendency to deform from planarity, which is imparted by the ligand field strength of the coordinated OH(-), is likely reinforced by the flexibility of the distal pocket in HO. These findings suggest that if the ligand field strength of the coordinated OOH(-) in heme oxygenase is modulated in a similar manner, the resultant large spin density at the meso carbons and nonplanar deformations of the pophyrin ring prime the macrocycle to actively participate in its own hydroxylation.     

On left conjugacy closed loops in which the left multiplication group is normal

A loopQ is said to be left conjugacy closed (LCC) if the left translations form a set of permutations that is closed under conjugation. This papers investigates those LCC loops where the group generated by left translations is normal in the group generated by both left and right translations.     

The skin friction on accelerated plates in magnetohydrodynamics

A uniform transverse magnetic field acts across an infinite flat plate immersed in a conducting fluid of arbitrary magnetic Prandtl number. The skin friction on the plate for the class of accelerated motions Ut ^k is discussed for a), a perfect conductor and b), an insulator. Residual stresses are demonstrated in both instances.     

Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings

Apollonian circle packings arise by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. Such packings can be described in terms of the Descartes configurations they contain, where a Descartes configuration is a set of four mutually tangent circles in the Riemann sphere, having disjoint interiors. Part I showed there exists a discrete group, the Apollonian group, acting on a parameter space of (ordered, oriented) Descartes configurations, such that the Descartes configurations in a packing formed an orbit under the action of this group. It is observed there exist infinitely many types of integral Apollonian packings in which all circles had integer curvatures, with the integral structure being related to the integral nature of the Apollonian group. Here we consider the action of a larger discrete group, the super-Apollonian group, also having an integral structure, whose orbits describe the Descartes quadruples of a geometric object we call a super-packing. The circles in a super-packing never cross each other but are nested to an arbitrary depth. Certain Apollonian packings and super-packings are strongly integral in the sense that the curvatures of all circles are integral and the curvature x centers of all circles are integral. We show that (up to scale) there are exactly eight different (geometric) strongly integral super-packings, and that each contains a copy of every integral Apollonian circle packing (also up to scale). We show that the super-Apollonian group has finite volume in the group of all automorphisms of the parameter space of Descartes configurations, which is isomorphic to the Lorentz group O(3, 1).     

Cross-sectional scanning tunneling microscopy and spectroscopy of strain in buried heterostructure lasers

Cross-sectional scanning tunneling microscopy and spectroscopy have been used to probe the unreconstructed (1 1 0) surface of a commercially available buried heterostructure laser in ultra high vacuum. Complex re-growth above the non-linear blocking layers is shown to induce tensile strain in the device. Spectroscopic measurements show an increase in both the density of filled valence band states and empty conduction band states as a result of the strain, with a particularly large increase at −3.1 V. Current imaging tunneling spectroscopy measurements show an increase in the tunneling current in to and out of the strained regions at both gap voltage polarities, consistent with the spectroscopy. Moving towards tensile strain, InP is known to maintain much the same bandgap, with the split-off level and lower lying states being drawn up towards the valence band edge, consistent with the data.     

Collisional relaxation of superthermal electrons generated by relativistic laser pulses in dense plasma

Energy relaxation of the hot electron population generated by relativistic laser pulses in overdense plasma is analyzed for densities ranging from below to 1000 times solid density. It is predicted that longitudinal beam-plasma instabilities, which dominate energy transfer between hot electrons and plasma at lower densities, are suppressed by collisions beyond solid density. The respective roles of collisional energy transfer modes, i.e., direct collisions, diffusion, and resistive return current heating, are identified with respect to plasma density. The transition between the kinetic and the collisional regimes and scalings of collisional process are demonstrated by a fully integrated one-dimensional collisional particle simulation.