Freezing lines of colloidal Yukawa spheres. II. Local structure and characteristic lengths.

Using the Rogers-Young (RY) integral equation scheme for the static pair correlation functions combined with the liquid-phase Hansen-Verlet freezing rule, we study the generic behavior of the radial distribution function and static structure factor of monodisperse charge-stabilized suspensions with Yukawa-type repulsive particle interactions at freezing. In a related article, labeled Paper I [J. Gapinski, G. Nägele, and A. Patkowski, J. Chem. Phys. 136, 024507 (2012)], this hybrid method was used to determine two-parameter freezing lines for experimentally controllable parameters, characteristic of suspensions of charged silica spheres in dimethylformamide. A universal scaling of the RY radial distribution function maximum is shown to apply to the liquid-bcc and liquid-fcc segments of the universal freezing line. A thorough analysis is made of the behavior of characteristic distances and wavenumbers, next-neighbor particle coordination numbers, osmotic compressibility factor, and the Ravaché-Mountain-Streett minimum-maximum radial distribution function ratio.

[1]  S. Roth,et al.  Colloids as model systems for liquid undercooled metals. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  P. Schurtenberger,et al.  Structure and dynamics of loosely cross-linked ionic microgel dispersions in the fluid regime. , 2012, Physical review letters.

[3]  D. Holland-Moritz,et al.  Colloids as model systems for metals and alloys: a case study of crystallization , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.

[4]  R. Farouki,et al.  Triple point of Yukawa systems , 1997 .

[5]  G. Nägele,et al.  Sterically stabilized colloids with tunable repulsions. , 2013, Langmuir : the ACS journal of surfaces and colloids.

[6]  Robbins,et al.  Phase diagram of Yukawa systems: Model for charge-stabilized colloids. , 1986, Physical review letters.

[7]  W. Streett,et al.  Freezing and melting properties of the Lennard‐Jones system , 1974 .

[8]  Hartmut Löwen,et al.  Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions , 2013, J. Comput. Chem..

[9]  Y. Levin,et al.  A self-consistent renormalized jellium approach for calculating structural and thermodynamic properties of charge stabilized colloidal suspensions. , 2009, The Journal of chemical physics.

[10]  H. Löwen,et al.  Coupling between bulk- and surface chemistry in suspensions of charged colloids. , 2013, The Journal of chemical physics.

[11]  G. Grest,et al.  Phase diagram and dynamics of Yukawa systems , 1988 .

[12]  P. Pusey,et al.  Phase behaviour of concentrated suspensions of nearly hard colloidal spheres , 1986, Nature.

[13]  A. J. Greenfield,et al.  X-Ray Determination of the Static Structure Factor of Liquid Na and K , 1971 .

[14]  D. Young,et al.  New, thermodynamically consistent, integral equation for simple fluids , 1984 .

[15]  T. Palberg,et al.  Experimental determination of effective charges in aqueous suspensions of colloidal spheres , 2003 .

[16]  Fcc-bcc transition for Yukawa interactions determined by applied strain deformation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  A. Gast,et al.  Crystallization of a Yukawa fluid via a modified weighted density approximation with a solid reference state , 2000 .

[18]  P. Schurtenberger,et al.  Coarse-Graining of Ionic Microgels: Theory and Experiment , 2012 .

[19]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[20]  R. Roa,et al.  dc Electrokinetics for spherical particles in salt-free concentrated suspensions including ion size effects. , 2011, Physical chemistry chemical physics : PCCP.

[21]  S. Khrapak,et al.  Simulation of the dynamics of strongly interacting macroparticles in a weakly ionized plasma , 2001 .

[22]  Shiqi Zhou,et al.  Freezing of Charge-Stabilized Colloidal Dispersions , 2003 .

[23]  A. Gast,et al.  Properties of crystallizing soft sphere systems , 1999 .

[24]  Y. Levin,et al.  Surface tensions, surface potentials, and the Hofmeister series of electrolyte solutions. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[25]  Michael Sztucki,et al.  Viscosity and diffusion: crowding and salt effects in protein solutions , 2011, 1109.3101.

[26]  M. Borkovec,et al.  Electric double layer interaction of ionizable surfaces: Charge regulation for arbitrary potentials , 1999 .

[27]  G. Morfill,et al.  Universal scaling in complex (dusty) plasmas. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  M. Stevens,et al.  Melting of Yukawa systems: A test of phenomenological melting criteria , 1993 .

[29]  Jean-Pierre Hansen,et al.  Phase Transitions of the Lennard-Jones System , 1969 .

[30]  Independent ion migration in suspensions of strongly interacting charged colloidal spheres , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[31]  T. Palberg.  Crystallization kinetics of repulsive colloidal spheres , 1999 .

[32]  Peter Holmqvist,et al.  Pair structure of the hard-sphere Yukawa fluid: an improved analytic method versus simulations, Rogers-Young scheme, and experiment. , 2011, The Journal of chemical physics.

[33]  S. Roth,et al.  Communications: Complete description of re-entrant phase behavior in a charge variable colloidal model system. , 2009, The Journal of chemical physics.

[34]  Jianing Liu,et al.  Correlations between morphology, phase behavior and pair interaction in soft sphere solids , 2002 .

[35]  P. Chaikin,et al.  Charge renormalization, osmotic pressure, and bulk modulus of colloidal crystals: Theory , 1984 .

[36]  H. Löwen,et al.  DENSITY JUMPS ACROSS PHASE TRANSITIONS IN SOFT-MATTER SYSTEMS , 1998 .

[37]  P. Schurtenberger,et al.  Density dependent interactions and structure of charged colloidal dispersions in the weak screening regime. , 2007, Physical review letters.

[38]  Adam Patkowski,et al.  Freezing lines of colloidal Yukawa spheres. I. A Rogers-Young integral equation study. , 2012, The Journal of chemical physics.

[39]  Fabian Westermeier,et al.  Structure and short-time dynamics in concentrated suspensions of charged colloids. , 2012, The Journal of chemical physics.

[40]  T. Palberg,et al.  Electro-kinetics of charged-sphere suspensions explored by integral low-angle super-heterodyne laser Doppler velocimetry , 2012, Journal of physics. Condensed matter : an Institute of Physics journal.

[41]  M. Kollmann,et al.  Dynamic properties, scaling and related freezing criteria of two- and three-dimensional colloidal dispersions , 2002 .

[42]  Piazza,et al.  Freezing transition for colloids with adjustable charge: A test of charge renormalization. , 1995, Physical review letters.

[43]  Löwen,et al.  Dynamical criterion for freezing of colloidal liquids. , 1993, Physical review letters.

[44]  R. Castañeda-Priego,et al.  Renormalized jellium mean-field approximation for binary mixtures of charged colloids. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  R. Pecora,et al.  Diffusion and microstructural properties of solutions of charged nanosized proteins: experiment versus theory. , 2005, The Journal of chemical physics.

[46]  Diffusion of colloidal particles in a tilted periodic potential: theory versus experiment. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  Á. Delgado,et al.  Dielectric response of concentrated colloidal suspensions , 2003 .

[48]  D. Frenkel,et al.  Melting line of Yukawa system by computer simulation , 1991 .

[49]  A. Chatterji,et al.  Qualitative characterisation of effective interactions of charged spheres on different levels of organisation using Alexander’s renormalised charge as reference , 2005 .

[50]  J. Hansen,et al.  Influence of interatomic repulsion on the structure of liquids at melting , 1973 .

[51]  R. van Roij,et al.  The polydisperse cell model: nonlinear screening and charge renormalization in colloidal mixtures. , 2008, The Journal of chemical physics.

[52]  H. Löwen,et al.  Ionic microgels as model systems for colloids with an ultrasoft electrosteric repulsion: structure and thermodynamics. , 2005, The Journal of chemical physics.

[53]  P. Giaquinta,et al.  About entropy and correlations in a fluid of hard spheres , 1992 .

[54]  F. Abraham,et al.  Empirical Criterion for the Glass Transition Region Based on Monte Carlo Simulations , 1978 .

[55]  L. Belloni.  Ionic condensation and charge renormalization in colloidal suspensions , 1998 .

[56]  Klein,et al.  Structure and short-time dynamics of polydisperse charge-stabilized suspensions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[57]  A. Gast,et al.  The experimental phase diagram of charged colloidal suspensions , 1989 .

[58]  J. M. Stallard,et al.  Liquid-Aluminum Structure Factor by Neutron Diffraction , 1973 .

[59]  G. Nägele,et al.  Long-time dynamics of concentrated charge-stabilized colloids. , 2010, Physical review letters.