The presence of a six-membered chelate ring involving a pyridine N-oxide moiety induces exclusive M isomer formation throughout the whole lanthanide series endowed with a fast water exchange in the case of the Gd(III) complex.

A tabular method for verification of data exchange algorithms on networks which possess a certain symmetry (whose underlying graph is a Cayley graph) is given. The algorithms use no intermediate buffering of messages. To illustrate this method, optimal total exchange (i.e., all-to-all personalised) algorithms are given for several much-used processor configurations, such as ring networks, the h...

We study matter-wave bistability in a spin-1 Bose-Einstein condensate dispersively coupled to a unidirectional ring cavity. A unique feature is that the population exchange among different modes of matter fields is accomplished via spin-exchange collisions. We show that the interplay between the atomic spin mixing and the cavity light field can lead to a strong matter-wave nonlinearity, making ...

Using path integral Monte Carlo simulations we calculate exchange frequencies in bulk hcp 4He as atoms undergo ring exchange. We fit the frequencies to a lattice model and examine whether such atoms could become a supersolid, that is, have a nonclassical rotational inertia. We find that the scaling with respect to the number of exchanging atoms is such that superfluid behavior will not be obser...

We establish commutativity theorems for certain classes of rings in which every invertible element is central, or, more generally, in which all invertible elements commute with one another. We prove that if R is a semiexchange ring (i.e. its factor ring modulo its Jacobson radical is an exchange ring) with all invertible elements central, then R is commutative. We also prove that if R is a semi...

In this paper, we describe a harmonic kicker system used in the beam exchange scheme for circulator cooling ring (CCR) of Jefferson Lab Electron-Ion Collider. By delivering an ultrafast deflecting kick, directs electron bunches selectively in/out CCR without degrading dynamics optimized ion-beam cooling. We will discuss design principle and demonstrate its performance with various numerical sim...

A continuum random phase approximation ~RPA! method for evaluating the structure function of nuclear matter is developed, where exchange terms for any particle-hole interaction are explicitly included. The method is applied to the inclusive transverse quasielastic electron scattering response at momentum transfer ranging from q5300 to 550 MeV/c . The interaction employed is a g8 Landau-Migdal c...

Using path integral Monte Carlo we have calculated exchange frequencies as electrons undergo ring exchanges in a "clean" 2D Wigner crystal as a function of density. The results show agreement with WKB calculations at very low density, but show a more rapid increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2D (3)He. Using the res...

Using Path Integral Monte Carlo, we have calculated exchange frequencies as electrons undergo ring exchanges of 2, 3, and 4 electrons in a “clean” 3D Wigner crystal (bcc lattice) as a function of density. We find pair exchange dominates and estimate the critical temperature for the transition to antiferromagnetic ordering to be roughly 1310−8 Ry at melting. In contrast to the situation in 2D, t...