Abstract:We measure the vibrational modes and particle dynamics of quasi-two-dimensional colloidal glasses as a function of interparticle interaction strength. The interparticle attractions are controlled via a temperature-tunable depletion interaction. Specifically, the interparticle attraction energy is increased gradually from a very small value (nearly hard-sphere) to moderate strength (∼4k_{B}T), and the variation of colloidal particle dynamics and vibrations are concurrently probed. The particle dynamics slow mon… Show more
“…The introduction of disorder has a dramatic impact on the properties of a colloidal assembly: structural disorder can affect, for example, the vibrational and optical properties of a colloidal material and, hence, for instance, its interactions with sound and light. ,,,,,− Restricting the attention to optical properties, different types of light–matter interactions have been pointed out for ordered systems, completely disordered systems, and intermediate regimes . Such effects can be related not only to the interparticle distance, but also to the specific arrangements, which exhibit distinctive features and affect local and collective coupling effects. , …”
Section: Discussionmentioning
confidence: 99%
“…More common analysis tools based, for instance, on the pair correlation function and other related metrics are suitable to characterize ordered systems consisting of a periodic repetition of a given unit cell and to identify the transition from a crystalline regime to noncrystalline ones, − but they fail to provide a quantitative morphological characterization in a more disordered regime based on the coexistence of different symmetries. For example, the inadequacy of the pair correlation function to highlight structural transitions in disordered binary colloidal assemblies has been pointed out in refs , . Other analysis approaches, such as those based on the computation of the fractal dimension, have been adopted for the identification of structural changes in more disordered systems, especially in case of more sparse structures consisting of fractal-like aggregates, , but they still do not provide clues to recognition and quantification of dominant symmetries concealed in an amorphous assembly and require care in the selection of the computation method and parameters .…”
In this study, we present a detailed investigation of the morphology of binary colloidal structures formed by self-assembly at air/water interface of particles of two different sizes, with a size ratio such that the larger particles do not retain a hexagonal arrangement in the binary assembly. While the structure and symmetry of binary mixtures in which such hexagonal order is preserved has been thoroughly scrutinized, binary colloids in the regime of nonpreservation of the hexagonal order have not been examined with the same level of detail due also to the difficulty in finding analysis tools suitable to recognize hidden symmetries in seemingly amorphous and disordered arrangements. For this purpose, we resorted to a combination of different analysis tools based on computational geometry and computational topology to get a comprehensive picture of the morphology of the assemblies. By carrying out an extensive investigation of binary assemblies in this regime with variable concentration of smaller particles with respect to larger particles, we identify the main patterns that coexist in the apparently disordered assemblies and detect transitions in the symmetries upon increase in the number of small particles. As the concentration of small particles increases, large particle arrangements become more dilute and a transition from hexagonal to rhombic and square symmetries occurs, accompanied also by an increase in clusters of small particles; the relative weight of each specific symmetry can be controlled by varying the composition of the assemblies. The demonstration of the possibility to control the morphology of apparently disordered binary colloidal assemblies by varying experimental conditions and the definition of a route for the investigation of disordered assemblies are important for future studies of complex colloidal patterns to understand self-assembly mechanisms and to tailor the physical properties of colloidal assemblies.
“…The introduction of disorder has a dramatic impact on the properties of a colloidal assembly: structural disorder can affect, for example, the vibrational and optical properties of a colloidal material and, hence, for instance, its interactions with sound and light. ,,,,,− Restricting the attention to optical properties, different types of light–matter interactions have been pointed out for ordered systems, completely disordered systems, and intermediate regimes . Such effects can be related not only to the interparticle distance, but also to the specific arrangements, which exhibit distinctive features and affect local and collective coupling effects. , …”
Section: Discussionmentioning
confidence: 99%
“…More common analysis tools based, for instance, on the pair correlation function and other related metrics are suitable to characterize ordered systems consisting of a periodic repetition of a given unit cell and to identify the transition from a crystalline regime to noncrystalline ones, − but they fail to provide a quantitative morphological characterization in a more disordered regime based on the coexistence of different symmetries. For example, the inadequacy of the pair correlation function to highlight structural transitions in disordered binary colloidal assemblies has been pointed out in refs , . Other analysis approaches, such as those based on the computation of the fractal dimension, have been adopted for the identification of structural changes in more disordered systems, especially in case of more sparse structures consisting of fractal-like aggregates, , but they still do not provide clues to recognition and quantification of dominant symmetries concealed in an amorphous assembly and require care in the selection of the computation method and parameters .…”
In this study, we present a detailed investigation of the morphology of binary colloidal structures formed by self-assembly at air/water interface of particles of two different sizes, with a size ratio such that the larger particles do not retain a hexagonal arrangement in the binary assembly. While the structure and symmetry of binary mixtures in which such hexagonal order is preserved has been thoroughly scrutinized, binary colloids in the regime of nonpreservation of the hexagonal order have not been examined with the same level of detail due also to the difficulty in finding analysis tools suitable to recognize hidden symmetries in seemingly amorphous and disordered arrangements. For this purpose, we resorted to a combination of different analysis tools based on computational geometry and computational topology to get a comprehensive picture of the morphology of the assemblies. By carrying out an extensive investigation of binary assemblies in this regime with variable concentration of smaller particles with respect to larger particles, we identify the main patterns that coexist in the apparently disordered assemblies and detect transitions in the symmetries upon increase in the number of small particles. As the concentration of small particles increases, large particle arrangements become more dilute and a transition from hexagonal to rhombic and square symmetries occurs, accompanied also by an increase in clusters of small particles; the relative weight of each specific symmetry can be controlled by varying the composition of the assemblies. The demonstration of the possibility to control the morphology of apparently disordered binary colloidal assemblies by varying experimental conditions and the definition of a route for the investigation of disordered assemblies are important for future studies of complex colloidal patterns to understand self-assembly mechanisms and to tailor the physical properties of colloidal assemblies.
“…More recently, also amorphous binary colloidal assemblies have attracted the attention of scientists. The introduction of disorder has a dramatic impact on material properties and important implications, for instance, in the interactions of a colloidal material with light or sound [11,17,19,20,21,22,23]. Restricting the attention to optical properties, it has been observed that ordered systems interact with light via collective modes resulting in diffraction, while completely disordered systems are dominated by Mie resonances of individual particles and random scattering; in the intermediate regime, collective modes, Mie resonances and near field interactions between individual scatterers all play a role; the transition between the different optical behaviors has been observed in binary colloidal assemblies for variable particle composition [11].…”
Section: Introductionmentioning
confidence: 99%
“…Despite the potential interest of binary colloidal assemblies in the regime of loss of hexagonal order in practical applications, the analysis of their morphology poses more challenges in comparison to ordered assemblies. In fact, traditional analysis tools (such as the pair correlation function), which prove to be successful for the analysis of ordered assemblies [4,24,25,26], provide little clue to a comprehensive and thorough description of the colloidal morphology and fail to deliver a quantitative characterization of the patterns generated in these more disordered assemblies [12,21]. For such more complex structures, more sophisticated analysis tools need to be devised.…”
Two-dimensional (2D) amorphous binary colloidal assemblies composed of particles of two different sizes are characterized by the loss of hexagonal close-packing for larger particles, occurring when the size ratio between small (S) and large (L) particles dSdL exceeds a certain threshold value. For moderately low particle number ratios NSNL large particles still retain a denser arrangement with transitions from hexagonal symmetry to the coexistence of different types of symmetries as NSNL progressively departs from 0 to higher values. On the other hand, small particles reveal sparser arrangements: shape identification and quantification of structural transitions in small particle arrangements appear particularly challenging. In this article, we investigate their shapes and transitions for amorphous binary colloidal particles assembled at the air/water interface. For the quantitative characterization of the evolution in particle arrangements for NSNL variable between 0.5 and 2, we develop an innovative procedure for morphological analysis, combining Minkowski functionals, Voronoi diagrams and ad hoc techniques to recognize and classify specific features. Such a powerful approach has revealed a wide variety of landscapes featuring isolated particles, dimers, chains, small clusters evolving with the colloidal suspension composition. Our method can be applied to the analysis of spatial configurations of sparse colloidal patterns obtained in different conditions.
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