We study the dispersion relation of Kelvin waves propagating along single- and half-quantum vortices in miscible two-component Bose-Einstein condensates based on analysis Bogoliubov--de Gennes equation. With help interpolating formula connecting relations low- high-wave-number regimes, we reveal nontrivial dependence intercomponent interaction through change vortex-core size vortical component....

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An efficient protocol for the direct synthesis of N-tetraalkylated derivatives of the azamacrocycles cyclam and cyclen has been developed, using a partially miscible aqueous-organic solvent system with propargyl bromide, benzyl bromide, and related halides. The method works most effectively when the reaction mixture is shaken, not stirred. A crystal structure of the N-tetrapropargyl cyclam deri...