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A fundamental numerical and theoretical study for the vibrational properties of nanowires
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10.1063/1.4729485
/content/aip/journal/jap/111/12/10.1063/1.4729485
http://aip.metastore.ingenta.com/content/aip/journal/jap/111/12/10.1063/1.4729485
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of a clamped-clamped Ag NW model. Boundary regions “B” are fixed in all directions, with the rest as the deformation region. The NW has a square cross-section with the lateral size of h, and the NW length is denoted as L. (a) Front sight view. (b) Cross-section view.

Image of FIG. 2.
FIG. 2.

Simulation results of the 6a × 6a × 34a Ag NW with the initial velocity amplitude equals 1 Å/ps under the temperature of 0.1 K. (a) The time history of EE during vibration. Circle markers highlighted the magnitudes of EE during each vibration circle. (b) First half of the periodogram, regarding the power of DFT versus frequency.

Image of FIG. 3.
FIG. 3.

Simulation results of the 6a × 6a × 34a Ag NW under velocity excitation at the temperature of 0.1 K. (a) The first vibration frequency as a function of the velocity amplitude. (b) The time history of EE during vibration for the Ag NW when the initial velocity amplitude equals 2 Å/ps. Circle markers highlighted the magnitudes of EE during each vibration circle. The inset figure (c) represents the atomic configurations of this NW at 100 ps, atoms with the csp value between 0.5 and 12 are visualized.

Image of FIG. 4.
FIG. 4.

Simulation results of the 6a × 6a × 34a C-C Ag NW under displacement excitation at the temperature of 0.1 K. (a) The time history of EE during vibration for the Ag NW with the initial displacement amplitude equals 5.91 Å. Circle markers highlighted the magnitudes of EE during each vibration circle. (b) The first vibration frequency as a function of the displacement amplitude. The inset figure (c) represents the Q-factor as a function of the displacement amplitude.

Image of FIG. 5.
FIG. 5.

Simulation results of the 6a × 6a × 34a C-C Ag NW under the temperature of 0.1 K with the initial displacement amplitude equals 13.91 Å. (a) The time history of EE during vibration. Circle markers highlighted the magnitudes of EE during each vibration circle. (b) Atomic configuration at 1600 ps reveals the vibration u(z) in x direction. (c) Atomic configuration at 1600 ps reveals the vibration v(z) in y direction. In the atomic configurations, atoms with the csp value between 0.5 and 12 are visualized.

Image of FIG. 6.
FIG. 6.

Simulation results of the 6a × 6a × 34a C-C Ag NW under two uniform velocity stimuli (velocity amplitudes of 0.75 Å/ps) in both x and y directions at the temperature of 0.1 K. (a) The time history of EE during vibration. Circle markers highlighted the magnitudes of EE during each vibration circle. (b) First half of the periodogram regarding the power of DFT versus frequency.

Image of FIG. 7.
FIG. 7.

Simulation results of thin Ag NWs under velocity stimuli at various temperatures ranging from 0.1 K to 400 K. (a) The first order natural frequency as a function of temperature for the C-C NWs. (b) The first order natural frequency as a function of temperature for the C-F NWs.

Image of FIG. 8.
FIG. 8.

Simulation results of C-C 6a × 6a × 124a Ag NWs under velocity stimuli at the temperature of 10 K. (a) The first vibration frequency as a function of the velocity amplitude. (b) Comparison of the normalized frequency for different vibration modes between simulation results and theoretical calculations. Error bars describe the standard deviation of the normalized frequency under different velocity magnitudes.

Image of FIG. 9.
FIG. 9.

Simulation results of thin Ag NWs under a combined velocity excitation at the temperature of 10 K. (b) First half of the periodogram, regarding the power of DFT versus frequency for the 6a × 6a × 124a Ag NW. (b) Comparison of the normalized frequency at different vibration modes between simulation results and theoretical calculations for NW with three different lengths, i.e., 124a, 154a, and 184a.

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/content/aip/journal/jap/111/12/10.1063/1.4729485
2012-06-18
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A fundamental numerical and theoretical study for the vibrational properties of nanowires
http://aip.metastore.ingenta.com/content/aip/journal/jap/111/12/10.1063/1.4729485
10.1063/1.4729485
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