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Bamboriya OP, Tirumkudulu MS. Effective modulus of particle-packing containing hard and soft particles. SOFT MATTER 2025; 21:2986-2993. [PMID: 39959926 DOI: 10.1039/d4sm01366b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/17/2025]
Abstract
Drying films of colloidal dispersion containing hard particles crack while fast drying drops of similar dispersion buckle, both caused by the capillary pressure exerted by the liquid menisci between particles. For drying films on substrates, there exists a maximum crack-free thickness while for fast drying drops, there is a maximum buckle-free shell size, with both quantities depending on particle size, elastic modulus of the particles and nature of particle packing. Here, we measure the critical cracking thickness for a drying colloidal film made of a mixture of hard and soft elastic particles to extract the effective modulus of the film for various ratios of hard and soft particles. Scanning electron images of the cross section of the film reveal the spatial distribution of the hard and soft particles. The measured effective modulus exhibits a trend that is identical to that obtained using the nanoindentation technique indicating that measurement of the critical cracking thickness gives a quantitative measure of the effective modulus of the packing. The values of effective modulus from the two techniques fall between the two limits obtained from the simple rule of mixtures for composite materials. The deviation from either limit is attributed to particle segregation caused by sedimentation of the heavier particles.
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Affiliation(s)
- Om Prakash Bamboriya
- Department of Chemical Engineering, Indian Institute of Technology Bombay, Powai, Maharashtra, 400076, India.
| | - Mahesh S Tirumkudulu
- Department of Chemical Engineering, Indian Institute of Technology Bombay, Powai, Maharashtra, 400076, India.
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Mahato LK, Varlas S, Miles BEA, Chan DHH, Hardy DA, Eloi JC, Harniman RL, Miles REH, Armes SP, Reid JP. Supra-particle formation by evaporation of aerosol droplets containing binary mixtures of colloidal particles: Controlling the final morphology. J Colloid Interface Sci 2025; 682:251-262. [PMID: 39616655 DOI: 10.1016/j.jcis.2024.11.155] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2024] [Revised: 10/30/2024] [Accepted: 11/20/2024] [Indexed: 01/15/2025]
Abstract
HYPOTHESIS Supra-particle formation by evaporation of an aqueous aerosol droplet containing nano-colloidal particles is challenging to investigate but has significant applications. We hypothesise that the Peclet number, Pe, which compares the effectiveness of evaporation-induced advection to that of colloidal diffusion, is critical in determining supra-particle morphology and can be used to predict the dried morphology for droplet containing polydisperse nanoparticles. EXPERIMENTS Sterically-stabilized diblock copolymer nanoparticles were prepared via polymerization-induced self-assembly (PISA). The systematic study was performed for evaporation rates by levitating an aqueous aerosol droplet and collecting dry supra-particles using electrodynamic balance (EDB) and falling droplet column (FDC), respectively for single-size particles and binary mixtures particles. The supra-particle morphology was characterized using scanning electron microscopy (SEM). FINDINGS We validate the hypothesis of a higher Pe increases the degree of buckling for both unimodal and bimodal nanoparticle size distributions by employing a higher evaporation rate (K) to increase Pe. However, if Pe is increased by lowering the mean diffusion coefficient (Davg) at a fixed K, the degree of buckling is reduced. For the binary mixture of nanoparticles of differing size, this can be achieved by reducing the concentration of smaller nanoparticles relative to that of larger nanoparticles. Hence consideration of Pe alone is insufficient to reliably predict the final supra-particle morphology.
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Affiliation(s)
- Lukesh K Mahato
- School of Chemistry, University of Bristol, Bristol BS8 1TS, UK.
| | - Spyridon Varlas
- Dainton Building, Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK
| | | | - Derek H H Chan
- Dainton Building, Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK
| | - Daniel A Hardy
- School of Chemistry, University of Bristol, Bristol BS8 1TS, UK
| | | | | | | | - Steven P Armes
- Dainton Building, Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK.
| | - Jonathan P Reid
- School of Chemistry, University of Bristol, Bristol BS8 1TS, UK.
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Milani M, Phou T, Prevot G, Ramos L, Cipelletti L. Space-resolved dynamic light scattering within a millimeter-sized drop: From Brownian diffusion to the swelling of hydrogel beads. Phys Rev E 2024; 109:064613. [PMID: 39021030 DOI: 10.1103/physreve.109.064613] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/18/2024] [Accepted: 05/06/2024] [Indexed: 07/20/2024]
Abstract
We present a dynamic light scattering setup to probe, with time and space resolution, the microscopic dynamics of soft matter systems confined within millimeter-sized spherical drops. By using an ad hoc optical layout, we tackle the challenges raised by refraction effects due to the unconventional shape of the samples. We first validate the setup by investigating the dynamics of a suspension of Brownian particles. The dynamics measured at different positions in the drop, and hence different scattering angles, are found to be in excellent agreement with those obtained for the same sample in a conventional light scattering setup. We then demonstrate the setup capabilities by investigating a bead made of a polymer hydrogel undergoing swelling. The gel microscopic dynamics exhibit a space dependence that strongly varies with time elapsed since the beginning of swelling. Initially, the dynamics in the periphery of the bead are much faster than in the core, indicative of nonuniform swelling. As the swelling proceeds, the dynamics slow down and become more spatially homogeneous. By comparing the experimental results to numerical and analytical calculations for the dynamics of a homogeneous, purely elastic sphere undergoing swelling, we establish that the mean square displacement of the gel strands deviates from the affine motion inferred from the macroscopic deformation, evolving from fast diffusivelike dynamics at the onset of swelling to slower, yet supradiffusive, rearrangements at later stages.
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Miles B, Chan DH, Varlas S, Mahato LK, Archer J, Miles RE, Armes SP, Reid JP. Effect of the Addition of Diblock Copolymer Nanoparticles on the Evaporation Kinetics and Final Particle Morphology for Drying Aqueous Aerosol Droplets. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2024; 40:734-743. [PMID: 38128476 PMCID: PMC10786045 DOI: 10.1021/acs.langmuir.3c02930] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2023] [Revised: 11/10/2023] [Accepted: 12/05/2023] [Indexed: 12/23/2023]
Abstract
A deeper understanding of the key processes that determine the particle morphologies generated during aerosol droplet drying is highly desirable for spray-drying of powdered pharmaceuticals and foods, predicting the properties of atmospheric particles, and monitoring disease transmission. Particle morphologies are affected by the drying kinetics of the evaporating droplets, which are in turn influenced by the composition of the initial droplet as well as the drying conditions. Herein, we use polymerization-induced self-assembly (PISA) to prepare three types of sterically stabilized diblock copolymer nanoparticles comprising the same steric stabilizer block and differing core blocks with z-average diameters ranging from 32 to 238 nm. These well-defined nanoparticles enable a systematic investigation of the effect of the nanoparticle size and composition on the drying kinetics of aqueous aerosol droplets (20-28 μm radius) and the final morphology of the resulting microparticles. A comparative kinetics electrodynamic balance was used to obtain evaporation profiles for 10 examples of nanoparticles at a relative humidity (RH) of 0, 45, or 65%. Nanoparticles comprising the same core block with mean diameters of 32, 79, and 214 nm were used to produce microparticles, which were dried under different RH conditions in a falling droplet column. Scanning electron microscopy was used to examine how the drying kinetics influenced the final microparticle morphology. For dilute droplets, the chemical composition of the nanoparticles had no effect on the evaporation rate. However, employing smaller nanoparticles led to the formation of dried microparticles with a greater degree of buckling.
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Affiliation(s)
| | - Derek H.H. Chan
- Dainton
Building, Department of Chemistry, University
of Sheffield, Brook Hill, Sheffield S3 7HF, South Yorkshire, U.K.
| | - Spyridon Varlas
- Dainton
Building, Department of Chemistry, University
of Sheffield, Brook Hill, Sheffield S3 7HF, South Yorkshire, U.K.
| | - Lukesh K. Mahato
- School
of Chemistry, University of Bristol, Bristol BS8 1TS, U.K.
| | - Justice Archer
- School
of Chemistry, University of Bristol, Bristol BS8 1TS, U.K.
| | | | - Steven P. Armes
- Dainton
Building, Department of Chemistry, University
of Sheffield, Brook Hill, Sheffield S3 7HF, South Yorkshire, U.K.
| | - Jonathan P. Reid
- School
of Chemistry, University of Bristol, Bristol BS8 1TS, U.K.
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Mehta S, Bahadur J, Sharma SK, Sen D. Interparticle interaction-dependent jamming in colloids: insights into glass transition and morphology modulation during rapid evaporation-induced assembly. SOFT MATTER 2024; 20:375-387. [PMID: 38099855 DOI: 10.1039/d3sm01186k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/04/2024]
Abstract
Understanding the role of interparticle interactions in jamming phenomena is essential for gaining insights into the intriguing glass transition behavior observed in atomic and molecular systems. In this study, we investigate the jamming behavior of colloids with tunable interparticle interactions during evaporation-induced assembly (EIA). By manipulating the interaction among charged colloids using cationic polyethyleneimine (PEI) through electro-sorption and subsequent free polymer induced repulsion, we observe distinct jamming behavior in silica colloids during EIA, depending on the interparticle interactions. Silica colloids with strong repulsive interactions exhibit a repulsive colloidal glass state with a volume fraction of silica colloids in supraparticle ϕ ∼ 0.70. On the other hand, PEI-mediated attractive interactions among silica colloids lead to an attractive colloidal glass phase with a significantly lower ϕ ∼ 0.43. Free polymer induced repulsion of colloids at higher PEI concentration once again results in a repulsive glassy state with ϕ ∼ 0.61. Furthermore, we revealed that interparticle interactions not only influence the jamming behavior but also play a significant role in shaping the morphology of self-assembled structures during EIA, and the assembled structure undergoes a morphological reentrant transition from a doughnut-like shape to a spherical form and again back to a doughnut-like configuration. Jamming-dependent evolution of micropores and dynamics of the confined PEI have been probed using positron annihilation lifetime spectroscopy (PALS) and broadband dielectric spectroscopy (BDS). PALS reveals distinct variations in the micropores of the supraparticles with different PEI loadings, confirming the impact of jamming on the evolution of the micropores within the supraparticles. BDS measurements uncover non-monotonic dynamics of PEI molecules confined in the evolved pore network. It is revealed that the reentrant jamming behavior of colloids, modulated by PEI, holds profound significance for the long-term stability of supraparticles.
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Affiliation(s)
- Swati Mehta
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Jitendra Bahadur
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Sandeep K Sharma
- Radiochemistry Division, Bhabha Atomic Research Centre, Mumbai, 400085, India
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Debasis Sen
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India.
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
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