Modeling US Counties’ Innovation Capacity with a Focus on Natural Amenities

Innovation Capacity, Natural Amenity, Community/Rural/Urban Development, O31, Q51,

Adenosinium 3,5-dinitrosalicylate

The crystal structure of adenosinium 3,5-dinitrosalicylicate, C10H14N5O4+烷H3N2O7-, shows the presence of a primary chain structure formed through homomeric head-to-tail cyclic R22(10) hydrogen-bonding interactions between hydroxy O- and both purine and amine N-donor and acceptor groups of the furanose and purine moieties of the adenosinium species. These chain structures are related by crystallographic 21 symmetry. Secondary hetero-ionic hydrogen bonding, involving the 3,5-dinitrosalicylate anion, including a cyclic R22(8) interaction between the carboxylate group and the protonated purine and amine groups of the adenosinium cation are also present, together with heteromolecular - interactions giving a three-dimensional hydrogen-bonded polymer structure.Full Tex

Constraints on CP violation in the Higgs sector from the ρ\rho parameter

We discuss the relation between the CP symmetry and the custodial $SU(2)$ symmetry in the Higgs sector. In particular, we show that CP violation in the Higgs-gauge sector is allowed only if the custodial $SU(2)$ symmetry is broken. We exploit these facts to constrain CP violation using the experimental bounds on $\rho-1$. CP nonconservation in the Higgs-fermion interactions can also be constrained in a similar way although a possible exception is pointed out.Comment: 19 pages, 2 figures (not included), SLAC-PUB-619

Three loop renormalization of the SU(N_c) non-abelian Thirring model

We renormalize to three loops a version of the Thirring model where the fermion fields not only lie in the fundamental representation of a non-abelian colour group SU(N_c) but also depend on the number of flavours, N_f. The model is not multiplicatively renormalizable in dimensional regularization due to the generation of evanescent operators which emerge at each loop order. Their effect in the construction of the true wave function, mass and coupling constant renormalization constants is handled by considering the projection technique to a new order. Having constructed the MSbar renormalization group functions we consider other massless independent renormalization schemes to ensure that the renormalization is consistent with the equivalence of the non-abelian Thirring model with other models with a four-fermi interaction. One feature to emerge from the computation is the establishment of the fact that the SU(N_f) Gross Neveu model is not multiplicatively renormalizable in dimensional regularization. An evanescent operator arises first at three loops and we determine its associated renormalization constant explicitly.Comment: 40 latex pages, 14 postscript figure

The total angular momentum algebra related to the S3\mathrm{S}_3 Dunkl Dirac equation

We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the $\mathrm{S}_3$ Dunkl Dirac equation. The latter is a deformation of the Dirac equation by means of Dunkl operators, in our case associated to the root system $A_2$, with corresponding Weyl group $\mathrm{S}_3$, the symmetric group on three elements. The explicit form of the symmetry algebra in this case is a one-parameter deformation of the classical total angular momentum algebra $\mathfrak{so}(3)$, incorporating elements of $\mathrm{S}_3$. This was obtained using recent results on the symmetry algebra for a class of Dirac operators, containing in particular the Dirac-Dunkl operator for arbitrary root system. For this symmetry algebra, we classify all finite-dimensional, irreducible representations and determine the conditions for the representations to be unitarizable. The class of unitary irreducible representations admits a natural realization acting on a representation space of eigenfunctions of the Dirac Hamiltonian. Using a Cauchy-Kowalevsky extension theorem we obtain explicit expressions for these eigenfunctions in terms of Jacobi polynomials.Comment: 29 pages, 1 figure; New title, introduction and physics contex

Condensation of a tetrahedra rigid-body libration mode in HoBaCo4O7 : the origin of phase transition at 355 K

Rietveld profiles, Moessbauer spectra and x-ray absorption fine structure (XAFS) were analyzed through the structural phase transition at Ts = 355 K in HoBaCo4O7. Excess of the oxygen content over O7 was avoided via annealing the samples in argon flow at 600 degree C. Space groups (S.G.) Pbn21c and P63mc were used to refine the structure parameters in the low- and high-temperature phases, respectively. Additionally, the Cmc21 symmetry was considered as a concurrent model of structure of the low-temperature phase. In the high-temperature phase, severe anisotropy of thermal motion of the major part of the oxygen atoms was observed. This anisotropic motion turns to be quenched as the sample is cooled below Ts. The variation of quadrupole splitting near Ts is not similar to a steplike anomaly frequently seen at the charge-ordering transition. We observe instead a dip-like anomaly of the average quadrupole splitting near Ts. Narrow distribution of the electric field gradient (EFG) over different cobalt sites is observed and explained on the basis of point-charge model. XAFS spectra show no evidence of significant difference between YBaCo4O7 (T > Ts) and HoBaCo4O7 (T < Ts). The origin of the transition at Ts is ascribed to the condensation of the libration phonon mode associated with the rigid-body rotational movements of the starlike tetrahedral units, the building blocks of kagome network. It is shown that the condensation of the libration mode is not compatible with translation symmetry for the hexagonal S.G., but compatible for the orthorhombic S.G. The orthorhombic lattice parameters and EFG components (Vxx, Vyy, Vzz) vary smoothly with temperature at approaching Ts and closely follow each other.Comment: 13 figure

[my]-Hydroxido-bis[(2,20-bipyridine)-tricarbonylrhenium(I)] perrhenate

The title compound, [Re2(OH)(C10H8N2)2(CO)6][ReO4], is a mixed-valence rhenium compound containing discrete anions and cations. The ReI atoms are in a slightly distorted octahedral environment, whereas the ReVII atoms show the typical tetrahedral coordination mode. The dihedral angle between the two bipyridine groups is 34.3 (7)°. Key indicators: single-crystal X-ray study; T = 173 K; mean &#963;(C–C) = 0.044 Å; R factor = 0.093; wR factor = 0.262; data-to-parameter ratio = 13.9