Effects of interactions between depletants in phase diagrams of binary hard-sphere systems

Suematsu, Ayumi; Yoshimori, Akira; Akiyama, Ryo

doi:10.1209/0295-5075/116/38004

Cited by 10 publications

(5 citation statements)

References 45 publications

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“…In the Asakura–Oosawa model, the depletants are treated as ideal with no structural correlations. Taking into account a hard sphere interaction between depletants as in the case of the α‐crystallin proteins, this can cause an oscillation in the effective attractive potential . This results in a repulsive barrier that grows larger with increased depletant concentration and reduces the probability of particles to reach the potential well upon collision .…”

Section: Resultsmentioning

confidence: 99%

“…Taking into account a hard sphere interaction between depletants as in the case of the α‐crystallin proteins, this can cause an oscillation in the effective attractive potential . This results in a repulsive barrier that grows larger with increased depletant concentration and reduces the probability of particles to reach the potential well upon collision . This converts the diffusion‐controlled aggregation, where every collision event leads to an irreversible binding between particles, to a reaction‐controlled situation, where the probability of a collision leading to irreversible binding exponentially decreases with increasing potential barrier.…”

Section: Resultsmentioning

confidence: 99%

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Optical Microrheology of Protein Solutions Using Tailored Nanoparticles

Garting

Stradner

2018

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This work represents a critical re-examination of the application of dynamic light scattering (DLS)-based tracer particle microrheology to measure the zero shear viscosity of aqueous solutions of different proteins up to very high concentrations. It is demonstrated that a combination of surface-functionalized tracer particles, the use of the so-called 3D-DLS technique, and carefully chosen parameters for the scattering experiments is essential for a reliable and artifact-free determination of the viscosity of highly diverse protein solutions, while keeping the amount of protein to a minimum. The major challenges that arise in such microrheology experiments with protein solutions are discussed and used as guiding principles for the synthesis of all-purpose tracer particles with optimal size and an efficient surface functionalization, and the choice of the appropriate amount of tracers in the sample. Potential problems arising from depletion attractions between the tracer particles induced by the proteins are addressed, and compelling evidences for the absence of such effects are presented. The validity of the approach is corroborated by the perfect agreement between the zero shear viscosity obtained from 3D-DLS-based microrheology and literature data from classical rheological measurements for two vastly different protein-solvent systems up to concentrations close to the arrest transition.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Optical Microrheology of Protein Solutions Using Tailored Nanoparticles

Garting

Stradner

2018

Small

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“…For a long time, it was believed that binary hard-sphere mixtures are thermodynamically stable for all concentrations and size ratios, 26 until Biben and Hansen 27,28 first showed that phase separation can occur in binary hard-sphere mixtures. This finding was later confirmed by a variety of theoretical approaches, [29][30][31] simulation studies, 23,32,33 and experimental works. 34,35 A historical overview of studies on binary hardsphere mixtures can be found in Ref.…”

Section: Introductionmentioning

confidence: 63%

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Opdam

Schelling

Tuinier

2021

The Journal of Chemical Physics

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“…For a long time it was believed that binary hard-sphere mixtures are thermodynamically stable for all concentrations and size ratios 26 , until Biben and Hansen 27,28 first showed that phase separation can occur in binary hard-sphere mixtures. This finding was later confirmed by a variety of theoretical approaches [29][30][31] , simulation studies 23,32,33 and experimental works 34,35 . A historical overview of studies on binary hard-sphere mixtures can be found in 33 .…”

Section: Introductionmentioning

confidence: 67%

Phase Behaviour of Binary Hard-Sphere Mixtures: Free Volume Theory Including Reservoir Hard-Core Interactions

Opdam,

Schelling,

Tuinier

2021

Preprint

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Comprehensive calculations were performed to predict the phase behaviour of large spherical colloids mixed with small spherical colloids that act as depletant. To this end, the free volume theory (FVT) of Lekkerkerker et al. [Europhys. Lett. 20 (1992) 559] is used as a basis and is extended to explicitly include the hard-sphere character of colloidal depletants into the expression for the free volume fraction. Taking the excluded volume of the depletants into account in both the system and the reservoir provides a relation between the depletant concentration in the reservoir and in the system that accurately matches with computer simulation results of Dijkstra et al. [Phys. Rev. E 59 (1999) 5744]. Moreover, the phase diagrams for highly asymmetric mixtures with size ratios q 0.2 obtained by using this new approach corroborates simulation results significantly better than earlier FVT applications to binary hard-sphere mixtures. The phase diagram of a binary hard-sphere mixture with a size ratio of q = 0.4, where a binary interstitial solid solution is formed at high densities, is investigated using a numerical free volume approach. At this size ratio, the obtained phase diagram is qualitatively different from previous FVT approaches for hard-sphere and penetrable depletants, but again compares well with simulation predictions.

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Effects of interactions between depletants in phase diagrams of binary hard-sphere systems

Cited by 10 publications

References 45 publications

Optical Microrheology of Protein Solutions Using Tailored Nanoparticles

Optical Microrheology of Protein Solutions Using Tailored Nanoparticles

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Phase Behaviour of Binary Hard-Sphere Mixtures: Free Volume Theory Including Reservoir Hard-Core Interactions

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