Radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to circumferential magnetic field

E. Ghavanloo, S.A. Fazelzadeh, Tony Murmu, S. Adhikari

Research output: Contribution to journalArticle

Abstract

Knowledge of the vibrational properties of nanoparticles is of fundamental interest since it is a signature of their morphology, and it can be utilized to characterize their physical properties. In addition, the vibration characteristics of the nanoparticles coupled with surrounding media and subjected to magnetic field are of recent interest. This paper develops an analytical approach to study the radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to magnetic field. Based on Maxwell's equations, the nonlocal differential equation of radial motion is derived in terms of radial displacement and Lorentz's force. Bessel functions are used to obtain a frequency equation. The model is justified by a good agreement between the results given by the present model and available experimental and atomic simulation data. Furthermore, the model is used to elucidate the effect of nanoparticle size, the magnetic field and the stiffness of the elastic medium on the radial breathing-mode frequencies of several nanoparticles. Our results reveal that the effects of the magnetic field and the elastic medium are significant for nanoparticle with small size.
Original languageEnglish
Pages (from-to)228-233
JournalPhysica E: Low-dimensional Systems and Nanostructures
Volume66
DOIs
Publication statusPublished - Feb 2015

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breathing
Magnetic fields
Nanoparticles
nanoparticles
magnetic fields
elastic media
Lorentz force
Bessel functions
data simulation
Maxwell equations
Maxwell equation
stiffness
Differential equations
differential equations
Physical properties
physical properties
Stiffness
signatures
vibration

Keywords

  • Breathing-mode frequency
  • Nanoparticle
  • Magnetic field
  • Nonlocal elasticity

Cite this

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title = "Radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to circumferential magnetic field",
abstract = "Knowledge of the vibrational properties of nanoparticles is of fundamental interest since it is a signature of their morphology, and it can be utilized to characterize their physical properties. In addition, the vibration characteristics of the nanoparticles coupled with surrounding media and subjected to magnetic field are of recent interest. This paper develops an analytical approach to study the radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to magnetic field. Based on Maxwell's equations, the nonlocal differential equation of radial motion is derived in terms of radial displacement and Lorentz's force. Bessel functions are used to obtain a frequency equation. The model is justified by a good agreement between the results given by the present model and available experimental and atomic simulation data. Furthermore, the model is used to elucidate the effect of nanoparticle size, the magnetic field and the stiffness of the elastic medium on the radial breathing-mode frequencies of several nanoparticles. Our results reveal that the effects of the magnetic field and the elastic medium are significant for nanoparticle with small size.",
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Radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to circumferential magnetic field. / Ghavanloo, E. ; Fazelzadeh, S.A. ; Murmu, Tony; Adhikari, S. .

In: Physica E: Low-dimensional Systems and Nanostructures, Vol. 66, 02.2015, p. 228-233.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to circumferential magnetic field

AU - Ghavanloo, E.

AU - Fazelzadeh, S.A.

AU - Murmu, Tony

AU - Adhikari, S.

PY - 2015/2

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N2 - Knowledge of the vibrational properties of nanoparticles is of fundamental interest since it is a signature of their morphology, and it can be utilized to characterize their physical properties. In addition, the vibration characteristics of the nanoparticles coupled with surrounding media and subjected to magnetic field are of recent interest. This paper develops an analytical approach to study the radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to magnetic field. Based on Maxwell's equations, the nonlocal differential equation of radial motion is derived in terms of radial displacement and Lorentz's force. Bessel functions are used to obtain a frequency equation. The model is justified by a good agreement between the results given by the present model and available experimental and atomic simulation data. Furthermore, the model is used to elucidate the effect of nanoparticle size, the magnetic field and the stiffness of the elastic medium on the radial breathing-mode frequencies of several nanoparticles. Our results reveal that the effects of the magnetic field and the elastic medium are significant for nanoparticle with small size.

AB - Knowledge of the vibrational properties of nanoparticles is of fundamental interest since it is a signature of their morphology, and it can be utilized to characterize their physical properties. In addition, the vibration characteristics of the nanoparticles coupled with surrounding media and subjected to magnetic field are of recent interest. This paper develops an analytical approach to study the radial breathing-mode frequency of elastically confined spherical nanoparticles subjected to magnetic field. Based on Maxwell's equations, the nonlocal differential equation of radial motion is derived in terms of radial displacement and Lorentz's force. Bessel functions are used to obtain a frequency equation. The model is justified by a good agreement between the results given by the present model and available experimental and atomic simulation data. Furthermore, the model is used to elucidate the effect of nanoparticle size, the magnetic field and the stiffness of the elastic medium on the radial breathing-mode frequencies of several nanoparticles. Our results reveal that the effects of the magnetic field and the elastic medium are significant for nanoparticle with small size.

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KW - Nanoparticle

KW - Magnetic field

KW - Nonlocal elasticity

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JO - Physica E: Low-dimensional Systems and Nanostructures

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