A model derived from hydrodynamic simulations for extracting the size of spherical particles from the quartz crystal microbalance

Gillissen, J. J. J.; Tabaei, Seyed R.; Jackman, Joshua A.; Cho, Nam‐Joon

doi:10.1039/c7an00456g

Cited by 27 publications

(46 citation statements)

References 52 publications

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“…The hydrodynamic model accounts for frequency shifts that are dependent on penetration depth (i.e., different overtones will exhibit different shifts in frequency), which is appropriate for porous or particulate films in contact with a liquid. 31,[48][49][50] This model accounts for liquid that is trapped or entrained in the porous/particle coating. This model is less common for polymer films, but more popularly used to describe electrodes or polymer particles.…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

A practical guide to quartz crystal microbalance with dissipation monitoring of thin polymer films

Easley

Eneh

et al. 2021

Journal of Polymer Science

115

107

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Quartz crystal microbalance with dissipation (QCM-D) monitoring is a powerful tool used to sensitively examine the real-time responses of polymer films to external responses. For example, the technique is commonly used to monitor film growth, material adsorption, thin film swelling, and ion exchange. With its rapidly expanding use, this review is intended to introduce new users to the basic principles of QCM-D, along with practical challenges and remedies specific to polymer thin films. For both new and experienced users, specific case studies are highlighted including layer-by-layer assembly, electrochemical QCM-D, swelling, sensing, and biological application. Last, the review recommends future directions for research and areas of growth.

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Section: Hydrodynamic Modelmentioning

confidence: 99%

A practical guide to quartz crystal microbalance with dissipation monitoring of thin polymer films

Easley

Eneh

et al. 2021

Journal of Polymer Science

115

107

View full text Add to dashboard Cite

show abstract

“…Still, the rich information contained in combined Δ f n and Δ D n measurements, especially when complemented with theoretical models representing the response for viscoelastic films, − has turned out to be very valuable in multiple research areas, including hydration analysis of organic polymers, , proteins, and biological membranes. , QCM has also been widely applied to monitor and characterize thin films, including porosity determination, , monitoring the growth of mesoporous materials, probing responsiveness of polymeric coatings, and characterization of biomimetic membranes. , Additionally, QCM has been extensively employed to study discrete adsorbates such as abiotic and biological macromolecules and nanoparticles (NPs). These studies included investigations of biomolecular interactions of proteins , and viruses; , structure, , confirmation , and orientation changes of biomacromolecules; spatial distribution, size, − deformation , and dissolution of NPs; protein corona formation on amyloids; interactions between NPs and biomimetic membranes; , as well as bioanalytical sensor development. − …”

Section: Introductionmentioning

confidence: 99%

Determination of Nanosized Adsorbate Mass in Solution Using Mechanical Resonators: Elimination of the So Far Inseparable Liquid Contribution

et al. 2021

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Assumption-free mass quantification of nanofilms, nanoparticles, and (supra)molecular adsorbates in a liquid environment remains a key challenge in many branches of science. Mechanical resonators can uniquely determine the mass of essentially any adsorbate; yet, when operating in a liquid environment, the liquid dynamically coupled to the adsorbate contributes significantly to the measured response, which complicates data interpretation and impairs quantitative adsorbate mass determination. Employing the Navier−Stokes equation for liquid velocity in contact with an oscillating surface, we show that the liquid contribution for rigid systems can be eliminated by measuring the response in solutions with identical kinematic viscosity but different densities. Guided by this insight, we used the quartz crystal microbalance (QCM), one of the most widely employed mechanical resonators, to experimentally demonstrate that the kinematic-viscosity matching can be utilized to quantify the dry mass of rigid and in many cases also nonrigid adsorbate systems, including, e.g., rigid nanoparticles, tethered biological nanoparticles (lipid vesicles), as well as highly hydrated polymeric films. For all the adsorbates, the dry mass determined using the kinematic-viscosity matching was within the uncertainty limits of the corresponding mass determined using complementary methods, i.e., QCM in air, scanning electron microscopy, surface plasmon resonance, and theoretical estimations. The same approach applied to the simultaneously measured energy dissipation made it possible to quantify the mechanical properties of the adsorbate and its attachment to the surface, as demonstrated by, for example, probing the hydrodynamic stabilization induced by nanoparticle crowding. In addition to a unique means to quantify the liquid contribution to the measured response of mechanical resonators, we also envision that the kinematic-viscosity-matching approach will open up applications beyond mass determination, including a new means to investigate orientation, spatial distribution, and binding strength of adsorbates without the need for complementary techniques.

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“…Following this approach, we recently developed a phenomenological model that is based on hydrodynamic simulations and dimensional analysis. 32 This model provides the particle size and adsorption kinetics from the overtone-dependent QCM frequency shift. Since the model is restricted to nondeformable, spherical particles, we herein extend this model to nonspherical particles, enabling us to analyze deformable, soft-matter particles.…”

mentioning

confidence: 99%

Quartz Crystal Microbalance Model for Quantitatively Probing the Deformation of Adsorbed Particles at Low Surface Coverage

et al. 2017

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Characterizing the deformation of nanoscale, soft-matter particulates at solid-liquid interfaces is a demanding task, and there are limited experimental options to perform quantitative measurements in a nonperturbative manner. Previous attempts, based on the quartz crystal microbalance (QCM) technique, focused on the high surface coverage regime and modeled the adsorbed particles as a homogeneous film, while not considering the coupling between particles and surrounding fluid and hence resulting in an underestimation of the known particle height. In this work, we develop a model for the hydrodynamic coupling between adsorbed particles and surrounding fluid in the limit of a low surface coverage, which can be used to extract shape information from QCM measurement data. We tackle this problem by using hydrodynamic simulations of an ellipsoidal particle on an oscillating surface. From the simulation results, we derived a phenomenological relation between the aspect ratio r of the absorbed particles and the slope and intercept of the line that fits instantaneous, overtone-dependent QCM data on (δ/a, -Δf/n) coordinates where δ is the viscous penetration depth, a is the particle radius, Δf is the QCM frequency shift, and n is the overtone number. The model was applied to QCM measurement data pertaining to the adsorption of 34 nm radius, fluid-phase and gel-phase liposomes onto a titanium oxide-coated surface. The osmotic pressure across the liposomal bilayer was varied to induce shape deformation. By combining these results with a membrane bending model, we determined the membrane bending energy for the gel-phase liposomes, and the results are consistent with literature values. In summary, a phenomenological model is presented and validated in order to show for the first time that QCM experiments can quantitatively measure the deformation of adsorbed particles at low surface coverage.

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A model derived from hydrodynamic simulations for extracting the size of spherical particles from the quartz crystal microbalance

Cited by 27 publications

References 52 publications

A practical guide to quartz crystal microbalance with dissipation monitoring of thin polymer films

A practical guide to quartz crystal microbalance with dissipation monitoring of thin polymer films

Determination of Nanosized Adsorbate Mass in Solution Using Mechanical Resonators: Elimination of the So Far Inseparable Liquid Contribution

Quartz Crystal Microbalance Model for Quantitatively Probing the Deformation of Adsorbed Particles at Low Surface Coverage

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