We consider the spatially flat Friedmann model ds = dt − a(t)(dx + dy + dz) . For a ≈ tp, especially, if p ≥ 1, this is called power-law inflation. For the Lagrangian L = Rm with p = −(m − 1)(2m − 1)/(m − 2) power-law inflation is an exact solution, as it is for Einstein gravity with a minimally coupled scalar field Φ in an exponential potential V (Φ) = exp(μΦ) and also for the higher-dimension...

The title compound, [Dy4(C7H4NO4)12(C11H9N5)2] or Dy4(L1)12(L2)2, where HL1 = 3-nitro-benzoic acid and HL2 = 2,6-bis-(1H-pyrazol-1-y1)pyridine, is a linear tetra-nuclear complex possessing inversion symmetry. The two central inversion-related Dy(III) atoms are seven-coordinate, DyO7, with a monocapped triangular-prismatic geometry. The outer two Dy(III) atoms are eight-coordinate, DyO5N3, with ...

In this paper, we analyse the structure of the set of positive solutions of an heterogeneous nonlocal equation of the form: ∫ Ω K(x, y)u(y) dy − ∫ Ω K(y, x)u(x) dy + a0u+ λa1(x)u− β(x)u p = 0 in ×Ω where Ω ⊂ R is a bounded open set, K ∈ C(R × R) is nonnegative, ai, β ∈ C(Ω) and λ ∈ R. Such type of equation appears in some studies of population dynamics where the above solutions are the stationa...

The complex [Dy(L)(tta)3] with L the chiral 3-(2-pyridyl)-4-aza[6]-helicene ligand (tta− = 2-thenoyltrifluoroaacetonate) has been synthesized in its racemic form and structurally and magnetically characterized. [Dy(L)(tta)3] behaves as a single molecule magnet in its crystalline phase with the opening of a hysteresis loop at 0.50 K. These magnetic properties were interpreted with ab initio calc...

A novel mechanism of MRI contrast enhancement, based on the detection by a balanced steady-state free precession (SSFP) sequence of the proton resonance frequency shift induced by bulk magnetic susceptibility (BMS) contrast agents, was investigated. The potential for this contrast mechanism to image blood vessels was explored. The relaxation time and the frequency shift effects of gadolinium- a...

Two dysprosium-containing tungstoarsenates [C(NH(2))(3)](11)[Dy(2)(Hcit)(2)(AsW(10)O(38))]·9H(2)O (1) and K(8-n)H(3-n)[Dy(3-n)K(n)(H(2)O)(3)(CO(3))(A-α-AsW(9)O(34))(A-β-AsW(9)O(34))]·22H(2)O (n = 0 or 1) (2) have been synthesized and characterized by single-crystal X-ray diffraction, elemental analyses, thermogravimetric analyses and infrared spectroscopy. Compound 1 is a citrate-decorated Kegg...

The authors theoretically and experimentally investigate the influence of dipole-dipole interactions on total interspecies interaction in an ultracold erbium-dysprosium mixture. are tuned by rotating dipole orientation tracing in-trap displacement between species. As a result, provide lower upper bound for scattering length.