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Relationship between neighbor number and vibrational spectra in disordered colloidal clusters with attractive interactions
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10.1063/1.4774076
/content/aip/journal/jcp/138/12/10.1063/1.4774076
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/12/10.1063/1.4774076
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Plot summarizing the number of particles, N, and average number of nearest neighbors, , in every cluster studied. (b) Experiment snapshots of five different clusters.

Image of FIG. 2.
FIG. 2.

The median frequency, ω Med (black squares), and the infinite-time-extrapolated median frequency (red circles), are plotted versus the average number of nearest neighbors, .

Image of FIG. 3.
FIG. 3.

The mean of the diagonal value of the stiffness matrix, i.e., , plotted versus the average number of nearest neighbors in the cluster, .

Image of FIG. 4.
FIG. 4.

The mean of the diagonal value of the stiffness matrix, i.e., , plotted versus the total number of particles in the cluster, N.

Image of FIG. 5.
FIG. 5.

The median vibrational frequency of cluster mode spectra versus the square root of the mean of the diagonal value of the cluster stiffness matrix, i.e., . Black squares and red circles represent clusters with and , respectively. Inset: The median vibrational frequency of cluster mode spectra versus the mean diagonal value of the cluster stiffness matrix, i.e., .

Image of FIG. 6.
FIG. 6.

The eigenvector-weighted frequency, ⟨ω iα⟩, plotted versus diagonal stiffness matrix elements, K ii . Solid red line is the best power-law fit. The relationship between ⟨ω iα⟩ and K ii is reminiscent of a simple harmonic oscillator.

Image of FIG. 7.
FIG. 7.

The eigenvalues, λ, of matrix , normalized by the mean of the diagonal value of the stiffness matrix, i.e., , and plotted versus the number of neighbors NN.

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/content/aip/journal/jcp/138/12/10.1063/1.4774076
2013-01-11
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Relationship between neighbor number and vibrational spectra in disordered colloidal clusters with attractive interactions
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/12/10.1063/1.4774076
10.1063/1.4774076
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