8,224 research outputs found
Asymptotic iteration method for eigenvalue problems
An asymptotic interation method for solving second-order homogeneous linear
differential equations of the form y'' = lambda(x) y' + s(x) y is introduced,
where lambda(x) \neq 0 and s(x) are C-infinity functions. Applications to
Schroedinger type problems, including some with highly singular potentials, are
presented.Comment: 14 page
Control of polymorphism in coronene by the application of magnetic fields
Coronene, a polyaromatic hydrocarbon, has been crystallized for the first
time in a different polymorph using a crystal growth method that utilizes
magnetic fields to access a unit cell configuration that was hitherto unknown.
Crystals grown in magnetic field of 1 T are larger, have a different appearance
to those grown in zero field and retain their structure in ambient conditions.
We identify the new form, beta-coronene, as the most stable at low
temperatures. As a result of the new supramolecular configuration we report
significantly altered electronic, optical and mechanical properties.Comment: 32 pages, 17 figure
Variational analysis for a generalized spiked harmonic oscillator
A variational analysis is presented for the generalized spiked harmonic
oscillator Hamiltonian operator H, where H = -(d/dx)^2 + Bx^2+ A/x^2 +
lambda/x^alpha, and alpha and lambda are real positive parameters. The
formalism makes use of a basis provided by exact solutions of Schroedinger's
equation for the Gol'dman and Krivchenkov Hamiltonian (alpha = 2), and the
corresponding matrix elements that were previously found. For all the discrete
eigenvalues the method provides bounds which improve as the dimension of the
basis set is increased. Extension to the N-dimensional case in arbitrary
angular-momentum subspaces is also presented. By minimizing over the free
parameter A, we are able to reduce substantially the number of basis functions
needed for a given accuracy.Comment: 15 pages, 1 figur
Crystallisation From Volatile Deep Eutectic Solvents
A new class of deep eutectic solvents are presented where one component of
the system is inherently volatile, enabling a premeditated, auto-destructive
capability which leads inexorably to a series of novel crystal structures.
These volatile deep eutectic solvents are easily-formed liquids with a greatly
depressed melting point and exhibit all of the physical characteristics of
classical deep eutectic solvents, with the exception that the hydrogen-bond
donor component is volatile when exposed to the atmosphere at room temperature.
We demonstrate the effectiveness of this concept through the exquisite control
of pharmaceutical polymorphism, among which is a more efficacious form of
acetaminophen, which can be formed spontaneously for the first time at room
temperature.Comment: 42 pages, 23 figures, 1 Tabl
Synthesis of a metal oxide by forming solvate eutectic mixtures and study of their synthetic performance under hyper- and hypo-eutectic conditions
The synthesis of YBa2Cu3O7−x (YBCO or 123) superconductor was carried out under hyper- and hypo-eutectic conditions with different ammonium compounds, i.e., ammonium nitrate, formate, acetate, carbonate, bicarbonate, and tetramethylammonium nitrate. The aim was to find more affordable synthetic pathways using highly available and cheaper compounds, as well as to study the crystal formation under no-carbon conditions when ammonium nitrate was employed. Best results were obtained when eutectic conditions were achieved, namely by ammonium nitrate and YBaCu nitrates in a 5:1 molar ratio (81% of the superconductor). Ammonium formate, acetate, carbonate, and bicarbonate did not produce eutectic mixes. Temperature analysis of the reaction carried out by ammonium nitrate/YBaCu nitrates indicated the formation of barium carbonate, despite no carbon source being used in this reaction. This phenomenon is further discussed in this work. Consequently, tetramethylammonium nitrate, as a chelator and carbon source, was used, providing >96% of the superconductor
Part of the D - dimensional Spiked harmonic oscillator spectra
The pseudoperturbative shifted - l expansion technique PSLET [5,20] is
generalized for states with arbitrary number of nodal zeros. Interdimensional
degeneracies, emerging from the isomorphism between angular momentum and
dimensionality of the central force Schrodinger equation, are used to construct
part of the D - dimensional spiked harmonic oscillator bound - states. PSLET
results are found to compare excellenly with those from direct numerical
integration and generalized variational methods [1,2].Comment: Latex file, 20 pages, to appear in J. Phys. A: Math. & Ge
- …