A pseudocircle is a simple closed curve on some surface. Arrangements of pseudocircles were introduced by Grünbaum, who defined them as collections of pseudocircles that pairwise intersect in exactly two points, at which they cross. There are several variations on this notion in the literature, one of which requires that no three pseudocircles have a point in common. Working under this definiti...

Crossed molecular beams experiments were conducted to investigate the chemical dynamics of the reaction of dicarbon molecules, C2(X Σg /aΠu), with diacetylene, C4H2(X Σg ) at two collision energies of 12.1 and 32.8 kJmol. The dynamics were found to be indirect, involved C6H2 intermediates, and were dictated by an initial addition of the dicarbon molecule to the carbon-carbon triple bond of diac...

In this paper, we write down a special Heegaard diagram for a given product three manifold Σg × S . We use the diagram to compute its perturbed Heegaard Floer homology.

Given a compact group G, a standard construction of a Z2 Markov shift ΣG with alphabet G is described. The cardinality of G (if G is finite) or the topological dimension of G (if G is a torus) is shown to be an invariant of measurable isomorphism for ΣG. We show that if G is sufficiently non–abelian (for instance A5, PSL2(F7) or a Suzuki simple group) and H is any abelian group with |H| = |G|, ...

Absorption of radiation from the sodium dimer molecular states correlating to Na(3s)-Na(3s) is investigated theoretically. Vibrational bound and continuum transitions from the singlet X Σg state to the first excited A Σu and B Πu states and from the triplet a Σu state to the first excited b Σg and c Πg states are studied quantum-mechanically. Theoretical and experimental data are used to charac...

Absorption of radiation from the sodium dimer molecular states correlating to Na(3s)-Na(3s) is investigated theoretically. Vibrational bound and continuum transitions from the singlet X Σg state to the first excited A Σu and B Πu states and from the triplet a Σu state to the first excited b Σg and c Πg states are studied quantum-mechanically. Theoretical and experimental data are used to charac...

We have used negative ion photoelectron spectroscopy to measure the electron affinities of the cyanonitrene and the cyanoamino radical: EA(X̃ Σg NCN) ) 2.484 ( 0.006 eV, EA(X̃ 2A′′ HNCN) ) 2.622 ( 0.005 eV, and EA(X̃ 2A′′ DNCN) ) 2.622 ( 0.005 eV. Our experimental findings are accurately reproduced by complete basis set (CBS) ab initio electronic structure calculations: EA(X̃ Σg NCN) ) 2.51 ( 0.03 ...

In this work static hybrid potentials are computed using SU(2) Yang-Mills theory on the lattice. The hybrid potentials are realized by local insertions of chromomagnetic or chromoelectric field operators in the midpoint of a quark antiquark pair. Two computations with different lattice spacings, a ≈ 0.073 fm and a ≈ 0.038 fm, have been performed yielding static hybrid potentials of the states Σ...

We report correlated state distributions arising from NO3 photolysis at 588 nm using velocity map ion imaging. State-selected NO images reveal clear evidence for two dissociation pathways for the NOþO2 channel. Vibrationally excited O2 ( Σg , ν= 5-10) is formed in coincidence with low rotational states of NO (Π) in the dominant mechanism. We also observe a small channel consisting of low vibrat...

We have developed a technique which allows optical absorption measurements to be made using a pulsed light source and offers a sensitivity significantly greater than that attained using stabilized continuous light sources. The technique is based upon the measurement of the rate of absorption rather than the magnitude of absorption of a light pulse confined within a closed optical cavity. The de...