The analytical and approximate solutions of ϵy″ = yy′

The analytical and approximate soluions of ?y″ = yy′ are developed and compared, and the analytical solution is evaluated numerically. The analytical soluion has several interesting properties: (i) it possesses three different types of solutions, constant, exponential, and tangent; (ii) for a two-point boundary value problem it has an undecidability aspect relative to which solution type holds; (iii) for the tangent solution type an infinite number of solutions exist, both continuous and discontinuous; (iv) even with the analytical solution known, its numerical evaluation can still be difficult to generate.     

Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations

The technique of applying form-invariant, spatial coordinate transformations of Maxwell’s equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior.     

Surface chemistry of carbon dioxide

The review discusses how CO₂ surface chemistry has developed since the early 1950s. Emphasis is given to studies of well-characterized surfaces of metals, oxides and some more complex systems involving in particular alkali modified surfaces and also of coadsorbed molecules.     

13C and 77Se NMR spectra of thienoisoselenazoles,selenoloisothiazoles, selenoloisoselenazoles and thienoisothiazoles

Measurements are reported of NH exchange rates of urea, thiourea, acetamide and thioacetamide, using line-shape analysis with natural-abundance ¹⁵N NMR spectra. Base-catalyzed NH-proton exchange of thiourea is 30–40 times faster than for urea, while the corresponding acid-catalyzed exchange is 150 times slower. The base-catalyzed proton exchange for thioacetamide is about 1000 times faster than that of acetamide at 25°C, while the corresponding acid-catalyzed exchange is some 260 times slower.     

Noise sources in turbulent gaseous premixed flames

The relationship between mixture flow parameters and the combustion noise from open turbulent premixed gaseous flames is investigated experimentally and it is shown how the overall noise levels and frequency spectra are related to certain flow and geometric parameters and to the turbulence structure of the combustible mixture.     

The breaking of exchange degeneracy in dual unitarisation

The splitting of trajectories with non-vacuum quantum numbers is discussed within the dual unitarisation scheme. The estimated difference in intercepts between vector-tensor trajectories of opposite signatures, such as ? ? A₂ and $\text{K}{}^1\text{?}\text{K}{}^7$, agrees both in sign and magnitude with that deduced from phenomenological analyses.