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Acoustic vibrations of nanoparticles made of materials with anisotropic elasticity and nanoparticles with non-spherical shapes are theoretically investigated using a homogeneous continuum model. Cubic, hexagonal and tetragonal symmetries of…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Lucien Saviot , Daniel B. Murray

Structures involving solid particles of nanometric dimensions play an increasingly important role in material sciences. These structures are often characterized through the vibrational properties of their constituent particles, which can be…

Statistical Mechanics · Physics 2009-11-07 J. P. Wittmer , A. Tanguy , J. -L. Barrat , L. Lewis

The purpose of this work is to calculate the vibrational modes of an elastically anisotropic sphere embedded in an isotropic matrix. This has important application to understanding the spectra of low-frequency Raman scattering from…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 L. Saviot , D. B. Murray , E. Duval , A. Mermet , S. Sirotkin , M. C. Marco de Lucas

The vibrations of gold nanowires and nanorods are investigated numerically in the framework of continuum elasticity using the Rayleigh-Ritz variational method. Special attention is paid to identify the vibrations relevant in Raman…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 L. Saviot

Understanding and mastering the mechanical properties of metallic nanoparticles is crucial for their use in a wide range of applications. In this context, we use atomic-scale (Molecular Dynamics) and continuous (Finite Elements)…

Materials Science · Physics 2023-03-14 Matteo Erbi , Hakim Amara , Riccardo Gatti

We study the spectrum of vibrational modes in metal nanoparticles with a dielectric core. Vibrational modes are excited by the rapid heating of the particle lattice that takes place after laser excitation, and can be monitored by means of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arman S. Kirakosyan , Tigran V. Shahbazyan

The vibrations of a coupled pair of isotropic silver spheres are investigated and compared with the vibrations of the single isolated spheres. Situations of both strong coupling and also weak coupling are investigated using continuum…

Mesoscale and Nanoscale Physics · Physics 2010-06-23 Lucien Saviot , D. B. Murray

The acoustic vibrations of single monomers and dimers of gold nanoparticles were investigated by measuring for the first time their ultra-low frequency micro-Raman scattering. This experiment provides access not only to the frequency of the…

We study theoretically spectrum of radial vibrational modes in composite metal nanostructures such as bimetallic core-shell particles and metal nanoshells with dielectric core in an environment. We calculate frequencies and damping rates of…

Materials Science · Physics 2008-08-27 Arman S. Kirakosyan , Tigran V. Shahbazyan

Low-frequency Raman scattering spectra are presented for gold nanocrystals with diameters 3.5 and 13 nm. The frequencies of the Raman peaks but also their number are shown to vary with the nanocrystal size. These results are analyzed using…

Mesoscale and Nanoscale Physics · Physics 2012-02-09 Lucien Saviot , Nicolas Combe , Adnen Mlayah

We calculate the effect of electron-vibration coupling on conduction through atomic gold wires, which was measured in the experiments of Agra\"it et al. [Phys. Rev. Lett. 88, 216803 (2002)]. The vibrational modes, the coupling constants,…

Mesoscale and Nanoscale Physics · Physics 2009-05-24 J. K. Viljas , J. C. Cuevas , F. Pauly , M. Häfner

Nanocrystalline metals, i.e. metals in which the grain size is in the nanometer range, have a range of technologically interesting properties including increased hardness and yield strength. We present atomic-scale simulations of the…

Materials Science · Physics 2007-05-23 J. Schiøtz , T. Vegge , F. D. Di Tolla , K. W. Jacobsen

Classical continuum elastic calculations show that the acoustic vibrational modes of an embedded nanoparticle can be lightly damped even when the longitudinal plane wave acoustic impedances $Z_o=\rho v_L$ of the nanoparticle and the matrix…

Materials Science · Physics 2007-05-23 Lucien Saviot , Daniel B. Murray

Anisotropic core-shell model of a nano-grained polycrystal is extended to estimate the effective elastic stiffness of several metals of hexagonal crystal lattice symmetry. In the approach the bulk nanocrystalline material is described as a…

Computational Physics · Physics 2020-09-22 Katarzyna Kowalczyk-Gajewska , Marcin Maździarz

Symmetry-determined nonlinear normal modes, which describe large-amplitude vibrations of diamond lattice, are studied by specific group-theoretical methods. For two of these modes, corresponding to vibrational state with and without…

Pattern Formation and Solitons · Physics 2018-11-16 George Chechin , Denis Ryabov , Stepan Shcherbinin

We report results of a systematic study of structural, vibrational and thermodynamical properties of 34-atom bimetallic nanoparticles from the AgnCu34-n family using model interaction potentials as derived from the embedded atom method and…

Materials Science · Physics 2009-11-13 Handan Yildirim , Abdelkader Kara , Talat. S Rahman

The spectrum of acoustic vibrational modes of an inhomogeneous elastic continuum are analyzed with application to a spherical nanoparticle embedded in an infinite glass block. The relationship of these modes to the discrete vibrational…

Materials Science · Physics 2007-05-23 Daniel B. Murray , Lucien Saviot

We initiate the development of a theory of the elasticity of nanoscale objects based upon new physical concepts which remain properly defined on the nanoscale. This theory provides a powerful way of understanding nanoscale elasticity in…

Materials Science · Physics 2016-08-31 D. E. Segall , Sohrab Ismail-Beigi , T. A. Arias

Spherical gold nanoclusters are grown by 1.8 MeV Au++ ion implantation into an amorphous silica matrix and subsequent air annealing at 873 K. Ultraviolet and visible light absorption confirms the presence of a dipolar surface plasmon peak…

Other Condensed Matter · Physics 2007-05-23 Daniel B. Murray , S. Dhara , T. R. Ravindran , K. G. M. Nair , S. Kalavathi , Lucien Saviot , Eugene Duval

We use continuum elasticity theory to revise scaling laws for radial breathing-like and shear-like vibration modes in quasi-2D nanostructures including finite-width nanoribbons and finite-size thin circular discs. Such modes can be observed…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Dan Liu , Colin Daniels , Vincent Meunier , Arthur G. Every , David Tomanek
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