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Ion-mediated interactions in suspensions of oppositely charged nanoparticles
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10.1063/1.3193556
/content/aip/journal/jcp/131/8/10.1063/1.3193556
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/8/10.1063/1.3193556
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Potentials of mean force and mean forces between two equally charged polyions (top), and oppositely charged polyions (bottom), with . The DLVO potential is also shown (dashed lines).

Image of FIG. 2.
FIG. 2.

Total potential of mean force as a function of for the unphysical case . The charge is constant , while takes several values. In the case of pairwise additivity (and in DLVO theory), all the functions would be identical.

Image of FIG. 3.
FIG. 3.

Projections of the total force and of the corresponding (constant) pair force as functions of for different values of , for three positive polyions and for . Note the change in sign of the three-body force , for distances corresponding to . For more clarity, the geometry is schematically pictured on the right.

Image of FIG. 4.
FIG. 4.

Projections of the three-body force as functions of for different values of , under conditions identical to those of Fig. 3.

Image of FIG. 5.
FIG. 5.

Same as Fig. 3, but in this case, .

Image of FIG. 6.
FIG. 6.

Same as Fig. 4, but in this case, .

Image of FIG. 7.
FIG. 7.

Radial distribution functions and for , , and three polyion packing fractions . The distribution functions obtained from the explicit microion simulations are represented by continuous curves. The distribution functions obtained from the implicit microion simulations are represented by dashed lines. The are not represented for values higher than 2; the contact values are 13.4 , 7.3 , and 8.9 in the case of explicit microion simulations, and 18.6 , 8.1 , and 9.2 in the case of implicit microion simulations.

Image of FIG. 8.
FIG. 8.

Radial distribution functions and for the screening powers (for and ), and (for and ). The distribution functions obtained from the explicit microion simulations are represented by continuous curves. The distribution functions obtained from the implicit microion simulations are represented by dashed lines. The contact values of are 8.6 (, ), 9.5 (, ) in the case of explicit microion simulations, and 8.9 and 10 in the case of implicit microion simulations.

Image of FIG. 9.
FIG. 9.

Effective pair potentials and at polyion packing fraction , and pair potentials of mean force for vanishing polyion concentration and for and . The DLVO potentials are also shown.

Image of FIG. 10.
FIG. 10.

Effective pair potentials at polyion packing fraction , pair potentials of mean force for vanishing polyion concentration, and DLVO potentials for , and two polyion valencies ( and ).

Image of FIG. 11.
FIG. 11.

Effective pair potentials at polyion packing fractions and , pair potentials of mean force for vanishing polyion concentration, and DLVO potentials for , and .

Image of FIG. 12.
FIG. 12.

Donnan effect for a suspension of equally charged polyions. Ionic concentration over reservoir concentration as a function of the polyion packing fraction for various polyion charges and .

Image of FIG. 13.
FIG. 13.

Donnan effect for a suspension of oppositely charged polyions. Ionic concentration over reservoir concentration as a function of the polyion packing fraction for various polyion charges and .

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/content/aip/journal/jcp/131/8/10.1063/1.3193556
2009-08-25
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ion-mediated interactions in suspensions of oppositely charged nanoparticles
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/8/10.1063/1.3193556
10.1063/1.3193556
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