Correction: Polymer-enforced crystallization of a eutectic ...
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2410 | Soft Matter, 2017, 13, 2410 This journal is © The Royal Society of Chemistry 2017 Cite this: Soft Matter, 2017, 13, 2410 Correction: Polymer-enforced crystallization of a eutectic binary hard sphere mixture Anna Kozina,† a Dominik Sagawe, a Pedro Dı ´ az-Leyva,‡ ab Eckhard Bartsch* ab and Thomas Palberg* c Correction for ‘Polymer-enforced crystallization of a eutectic binary hard sphere mixture’ by Anna Kozina et al., Soft Matter, 2012, 8, 627–630. In our paper, 1 we reported the phase behavior of binary hard sphere mixtures of size ratio G = 0.785 to be eutectic without and with added non-adsorbing polymer. In the purely repulsive samples, access to the complete phase diagram in the volume fraction– composition plane was barred due to a kinetic glass transition. We could, however remove this obstacle by introducing a depletion attraction of sufficient strength and obtain all phases theoretically predicted for a size ratio of G = 0.8 2 including coexisting fcc crystals of both small and large component. In this paper, we had determined the size ratio of large to small spheres from the ratio of hydrodynamic radii. In a recent paper, 3 we have systematically synthesized a large variety of polystyrene micro-gels of different sizes and degrees of cross-linking. For these, we studied the relation of dry particle sizes, swelling ratios in the good solvent 2-ethylnaphthalene, phase boundaries and light scattering properties. We further discussed hydrodynamic radii from dynamic light scattering, optical radii from static light scattering on dilute samples, effective interaction radii determined from static light scattering experiments in either fluid or crystal phase combined with swelling ratios determined from coexistence region mapping 4 and hardness parameters obtained from rheological measurements. 5 We found that, in principle, fits of the concentration-dependent fluid static structure factor by theoretical expressions based on the Verlet–Weis-corrected Percus–Yevick integral equation for polydisperse HS give the most reliable effective particle sizes and thus size ratios. This can be attributed to the fact that this approach neither suffers from surface fuzziness influencing form factor measurements or determinations of hydrodynamic radii nor from polydispersity shifting the freezing transition and inducing fractionation effects. From this study, we obtained a corrected size ratio of G = 0.74 for the binary mixture used in our paper. Using this value, a minimal shift occurs for the position of the theoretically expected glass transition line, which, however, still lies above the experimentally determined one which is responsible for the restriction of the actually observable region of the phase diagram. Most importantly, however, the phase diagram predicted for G = 0.74 6 also shows a purely eutectic behavior. Therefore, the main results and the conclusions of our paper remain unaffected. The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers. Notes and references 1 A. Kozina, D. Sagawe, P. Diaz-Leyva, E. Bartsch and T. Palberg, Soft Matter, 2012, 8, 627–630. 2 S. Punnathannam and P. A. Monson, J. Chem. Phys., 2006, 125, 024508. 3 J. Schneider, M. Wiemann, A. Rabe and E. Bartsch, Soft Matter, 2017, 13, 445. 4 S. E. Paulin and B. J. Ackerson, Phys. Rev. Lett., 1990, 64, 2663; Erratum, S. E. Paulin and B. J. Ackerson, Phys. Rev. Lett., 1990, 65, 668. 5 H. Senff and W. Richtering, J. Chem. Phys., 1999, 111, 1705. 6 A.-P. Hynninen, L. Filion and M. Dijkstra, J. Chem. Phys., 2009, 131. a Institut fu ¨r Makromolekulare Chemie, Albert-Ludwigs-Universita¨t Freiburg, D-79104, Freiburg, Germany b Institut fu ¨r Physikalische Chemie, Albert-Ludwigs-Universita ¨t Freiburg, D-79104, Freiburg, Germany c Institut fu ¨r Physik, Johannes Gutenberg Universita ¨t Mainz, D-55128, Mainz, Germany † Present address: Instituto Nacional de Investigaciones Nucleares, 52750 La Marquesa Edo.Mex., Mexico. ‡ Present address: Departamento de Fı ´sica, Universidad Auto´noma Metropolitana, Iztapalapa, 09340 Me ´xico, D.F., Mexico. DOI: 10.1039/c7sm90034a rsc.li/soft-matter-journal Soft Matter CORRECTION Open Access Article. Published on 07 March 2017. Downloaded on 3/19/2022 4:24:24 AM. This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. View Article Online View Journal | View Issue
Transcript of Correction: Polymer-enforced crystallization of a eutectic ...
2410 | Soft Matter, 2017, 13, 2410 This journal is©The Royal Society of Chemistry 2017
Cite this: SoftMatter, 2017,
13, 2410
Correction: Polymer-enforced crystallization of aeutectic binary hard sphere mixture
Anna Kozina,†a Dominik Sagawe,a Pedro Dıaz-Leyva,‡ab Eckhard Bartsch*ab andThomas Palberg*c
Correction for ‘Polymer-enforced crystallization of a eutectic binary hard sphere mixture’ by Anna
Kozina et al., Soft Matter, 2012, 8, 627–630.
In our paper,1 we reported the phase behavior of binary hard sphere mixtures of size ratio G = 0.785 to be eutectic without and withadded non-adsorbing polymer. In the purely repulsive samples, access to the complete phase diagram in the volume fraction–composition plane was barred due to a kinetic glass transition. We could, however remove this obstacle by introducing a depletionattraction of sufficient strength and obtain all phases theoretically predicted for a size ratio of G = 0.8 2 including coexisting fcccrystals of both small and large component. In this paper, we had determined the size ratio of large to small spheres from the ratioof hydrodynamic radii.
In a recent paper,3 we have systematically synthesized a large variety of polystyrene micro-gels of different sizes and degrees ofcross-linking. For these, we studied the relation of dry particle sizes, swelling ratios in the good solvent 2-ethylnaphthalene, phaseboundaries and light scattering properties. We further discussed hydrodynamic radii from dynamic light scattering, optical radiifrom static light scattering on dilute samples, effective interaction radii determined from static light scattering experimentsin either fluid or crystal phase combined with swelling ratios determined from coexistence region mapping4 and hardnessparameters obtained from rheological measurements.5 We found that, in principle, fits of the concentration-dependent fluidstatic structure factor by theoretical expressions based on the Verlet–Weis-corrected Percus–Yevick integral equation forpolydisperse HS give the most reliable effective particle sizes and thus size ratios. This can be attributed to the fact that thisapproach neither suffers from surface fuzziness influencing form factor measurements or determinations of hydrodynamic radiinor from polydispersity shifting the freezing transition and inducing fractionation effects.
From this study, we obtained a corrected size ratio of G = 0.74 for the binary mixture used in our paper. Using this value,a minimal shift occurs for the position of the theoretically expected glass transition line, which, however, still lies above theexperimentally determined one which is responsible for the restriction of the actually observable region of the phase diagram.Most importantly, however, the phase diagram predicted for G = 0.746 also shows a purely eutectic behavior. Therefore, the mainresults and the conclusions of our paper remain unaffected.
The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.
Notes and references
1 A. Kozina, D. Sagawe, P. Diaz-Leyva, E. Bartsch and T. Palberg, Soft Matter, 2012, 8, 627–630.2 S. Punnathannam and P. A. Monson, J. Chem. Phys., 2006, 125, 024508.3 J. Schneider, M. Wiemann, A. Rabe and E. Bartsch, Soft Matter, 2017, 13, 445.4 S. E. Paulin and B. J. Ackerson, Phys. Rev. Lett., 1990, 64, 2663; Erratum, S. E. Paulin and B. J. Ackerson, Phys. Rev. Lett., 1990,
65, 668.5 H. Senff and W. Richtering, J. Chem. Phys., 1999, 111, 1705.6 A.-P. Hynninen, L. Filion and M. Dijkstra, J. Chem. Phys., 2009, 131.
a Institut fur Makromolekulare Chemie, Albert-Ludwigs-Universitat Freiburg, D-79104, Freiburg, Germanyb Institut fur Physikalische Chemie, Albert-Ludwigs-Universitat Freiburg, D-79104, Freiburg, Germanyc Institut fur Physik, Johannes Gutenberg Universitat Mainz, D-55128, Mainz, Germany
† Present address: Instituto Nacional de Investigaciones Nucleares, 52750 La Marquesa Edo.Mex., Mexico.‡ Present address: Departamento de Fısica, Universidad Autonoma Metropolitana, Iztapalapa, 09340 Mexico, D.F., Mexico.
DOI: 10.1039/c7sm90034a
rsc.li/soft-matter-journal
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