Isostructural solid–solid coexistence of colloid–polymer mixtures

García, Álvaro González; Opdam, Joeri; Tuinier, Remco

doi:10.1016/j.cplett.2018.08.028

Cited by 9 publications

(13 citation statements)

References 41 publications

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“…Furthermore, the theoretically-predicted C 1 -C 2 coexistence terminates at f c = f 8 c with f d E 0, manifesting the two effective systems that tiny depletants access in the columnar phase. This vanishing depletant concentration at the C 1 -C 2 critical point (CP) contrasts with the finite value obtained for solid-solid coexistence between HSs: 6 there is no directionality for the pockets present in the HS solid. Next, the stability of this C 1 -C 2 coexistence is tested against Monte Carlo (MC) simulations.…”

contrasting

confidence: 57%

“…The CEP marks a critical point in coexistence with a distinctive third phase; 40 hence, it constitutes a powerful tool to identify the stability limit of the C 1 -C 2 phase coexistence. 6,31 A quadruple I-N-C 1 -C 2 curve marks the transition from stable N-C 1 -C 2 to I-C 1 -C 2 . 31 Such quadruple coexistence in a two-component system is possible due to the extra field parameters L and q.…”

Section: (B) and (C)] The Discotic-depletant Distribution Function Imentioning

confidence: 99%

“…5 Therefore, understanding the fundamentals underlying the simple question 'what goes where' is paramount in the rational design of materials. In this Communication, we extend the concept of geometrical free volume fractions 6 to highly dense systems containing disc-like (discotic) particles in the presence of tiny non-adsorbing spheres. For the reader who is interested in more details we refer to the ESI † and will provide our Mathematica 7 scripts upon a reasonable request.…”

mentioning

confidence: 99%

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Directional-dependent pockets drive columnar–columnar coexistence

2020

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contrasting

confidence: 57%

Section: (B) and (C)] The Discotic-depletant Distribution Function Imentioning

confidence: 99%

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confidence: 99%

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Directional-dependent pockets drive columnar–columnar coexistence

2020

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“…First, we provide the original equations of FVT for hard spheres mixed with penetrable hard spheres 3,16 and an adjusted description of the free volume in a face-centered-cubic (fcc) crystal based on geometrical arguments. 45 Then, we show the correction on the semi-grand potential for hard-sphere depletants first discussed by Lekkerkerker and Stroobants 20 and argue why this correction is not sufficient to accurately describe binary hard-sphere mixtures. Finally, we provide a novel description of the semi-grand potential and free volume fraction in a binary hard-sphere system and explain how this can be used to calculate phase coexistence binodals.…”

Section: Theorymentioning

confidence: 84%

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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“…21 no longer holds if the spheres order in a solid phase. Moreover it has been shown for penetrable hard sphere depletants that the SPT approach for the free volume fraction in the solid phase becomes less accurate at higher packing fractions 50 . Fluid/fluid binodals of the mixture of hard spheres and hard rods are determined through the equilibrium conditions…”

Section: B Free Volume Fractionmentioning

confidence: 99%

Phase stability of colloidal mixtures of spheres and rods

Opdam

Guu

Schelling

et al. 2021

The Journal of Chemical Physics

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We determined the phase boundaries of aqueous mixtures containing colloidal rod-like fd-viruses and polystyrene spheres using diffusing-wave spectroscopy and compared the results with free volume theory predictions. Excluded volume interactions in mixtures of colloidal rods and spheres lead to mediated depletion interactions. The strength and range of this attractive interaction depend on the concentrations of the particles, the length L and diameter D of the rods and the radius R of the spheres. At strong enough attraction, this depletion interaction leads to phase separation. We experimentally determined the rod and sphere concentrations where these phase transitions occur by systematically varying the size ratios L/R and D/R and the aspect ratio L/D. This was done by using spheres with different radii and modifying the effective diameter of the rods through either the ionic strength of the buffer or anchoring a polymeric brush to the surface of the rods. The observed phase transitions were from a binary fluid to a colloidal gas/liquid phase coexistence which occurred already at very low concentrations due to the depletion efficiency of highly anisotropic rods. The experimentally measured phase transitions were compared to phase boundaries obtained using free volume theory (FVT), a well established theory for calculating the phase behaviour of colloidal particles mixed with depletants. We find good correspondence between the experimental phase transitions and the theoretical FVT model where the excluded volume of the rod-like depletants was explicitly accounted for in both the reservoir and the system.

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Isostructural solid–solid coexistence of colloid–polymer mixtures

Cited by 9 publications

References 41 publications

Directional-dependent pockets drive columnar–columnar coexistence

Directional-dependent pockets drive columnar–columnar coexistence

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

Phase stability of colloidal mixtures of spheres and rods

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