Free Vibrations of Anisotropic Nano-Objects with Rounded or Sharp Corners
Lucien Saviot
Abstract
An extension of the Rayleigh-Ritz variational method to objects with superquadric and superellipsoid shapes and cylinders with cross-sections delimited by a superellipse is presented. It enables the quick calculation of the frequencies and displacements for shapes commonly observed in nano-objects. Original smooth shape variations between objects with plane, convex, and concave faces are presented. The validity of frequently used isotropic approximations for experimentally relevant vibrations is discussed. This extension is expected to facilitate the assignment of features observed with vibrational spectroscopies, in particular in the case of single-nanoparticle measurements.
Topics & Concepts
IsotropyVibrationRayleigh–Ritz methodRegular polygonExtension (predicate logic)Nano-AnisotropyRayleigh scatteringGeometryPlane (geometry)Materials scienceMathematical analysisPhysicsMathematicsOpticsComputer scienceAcousticsComposite materialProgramming languageForce Microscopy Techniques and ApplicationsNonlocal and gradient elasticity in micro/nano structuresLipid Membrane Structure and Behavior