1
|
Kamal MA, Brizioli M, Zinn T, Narayanan T, Cerbino R, Giavazzi F, Pal A. Dynamics of anisotropic colloidal systems: What to choose, DLS, DDM or XPCS? J Colloid Interface Sci 2024; 660:314-320. [PMID: 38244498 DOI: 10.1016/j.jcis.2023.12.163] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/16/2023] [Revised: 12/11/2023] [Accepted: 12/28/2023] [Indexed: 01/22/2024]
Abstract
Investigation of the dynamics of colloids in bulk can be hindered by issues such as multiple scattering and sample opacity. These challenges are exacerbated when dealing with inorganic materials. In this study, we employed a model system of Akaganeite colloidal rods to assess three leading dynamics measurement techniques: 3D-(depolarized) dynamic light scattering (3D-(D)DLS), polarized-differential dynamic microscopy (P-DDM), and x-ray photon correlation spectroscopy (XPCS). Our analysis revealed that the translational and rotational diffusion coefficients captured by these methods show a remarkable alignment. Additionally, by examining the q-ranges and maximum volume fractions for each approach, we offer insights into the best technique for investigating the dynamics of anisotropic systems at the colloidal scale.
Collapse
Affiliation(s)
- Md Arif Kamal
- Division of Physical Chemistry, Department of Chemistry, Lund University, Lund, Sweden
| | - Matteo Brizioli
- Department of Medical Biotechnology and Translational Medicine, University of Milan, Milan, Italy
| | - Thomas Zinn
- ESRF-The European Synchrotron, Grenoble, France
| | | | | | - Fabio Giavazzi
- Department of Medical Biotechnology and Translational Medicine, University of Milan, Milan, Italy
| | - Antara Pal
- Department of Physics, Stockholm University, Stockholm, Sweden; MAX IV Laboratory, Lund, Sweden.
| |
Collapse
|
2
|
Martín-Martín S, Ramos-Tejada MDM, Rubio-Andrés A, Bonhome-Espinosa AB, Delgado ÁV, Jiménez ML. Electro-optical Study of the Anomalous Rotational Diffusion in Polymer Solutions. Macromolecules 2023; 56:518-527. [PMID: 36711111 PMCID: PMC9879198 DOI: 10.1021/acs.macromol.2c01461] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2022] [Revised: 12/22/2022] [Indexed: 01/13/2023]
Abstract
Brownian diffusion of spherical nanoparticles is usually exploited to ascertain the rheological properties of complex media. However, the behavior of the tracer particles is affected by a number of phenomena linked to the interplay between the dynamics of the particles and polymer coils. For this reason, the characteristic lengths of the dispersed entities, depletion phenomena, and the presence of sticking conditions have been observed to affect the translational diffusion of the probes. On the other hand, the retardation effect of the host fluid on the rotational diffusion of nonspherical particles is less understood. We explore the possibility of studying this phenomenon by analyzing the electro-orientation of the particles in different scenarios in which we vary the ratio between the particle and polymer characteristic size, and the geometry of the particles, including both elongated and oblate shapes. We find that the Stokes-Einstein relation only applies if the radius of gyration of the polymer is much shorter than the particle size and when some repulsive interaction between both is present.
Collapse
Affiliation(s)
- Sergio Martín-Martín
- Department
of Applied Physics, School of Sciences, University of Granada, 18071Granada, Spain
| | | | - Antonio Rubio-Andrés
- Department
of Applied Physics, School of Sciences, University of Granada, 18071Granada, Spain
| | - Ana B. Bonhome-Espinosa
- Department
of Applied Physics, School of Sciences, University of Granada, 18071Granada, Spain
| | - Ángel V. Delgado
- Department
of Applied Physics, School of Sciences, University of Granada, 18071Granada, Spain
| | - María L. Jiménez
- Department
of Applied Physics, School of Sciences, University of Granada, 18071Granada, Spain,
| |
Collapse
|
3
|
Arauz-Lara JL, Ramírez-Saíto Á, Haro-Pérez C. Rotational and translational microrheology from shape-anisotropic particles. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:334002. [PMID: 35671751 DOI: 10.1088/1361-648x/ac768b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2022] [Accepted: 06/07/2022] [Indexed: 06/15/2023]
Abstract
In this work, we report measurements of the mean squared angular and translational displacements of a colloidal dumbbell immersed in a viscoelastic fluid using digital microscopy. From the mean squared displacements, we obtain the mechanical properties of the media. Both angular and translational motions provide the same viscoelastic complex modulus and agree with that obtained from the translational motion of a spherical probe particle.
Collapse
Affiliation(s)
- José Luis Arauz-Lara
- Instituto de Física, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 7800 San Luis Potosí, S.L.P., Mexico
| | - Ángeles Ramírez-Saíto
- Instituto de Física, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 7800 San Luis Potosí, S.L.P., Mexico
| | - Catalina Haro-Pérez
- Área de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, 02200 Ciudad de México, Mexico
| |
Collapse
|
4
|
Rotational and translational diffusion of colloidal ellipsoids in bulk and at surfaces. Colloid Polym Sci 2021. [DOI: 10.1007/s00396-021-04893-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
|
5
|
Mayer DB, Sarmiento-Gómez E, Escobedo-Sánchez MA, Segovia-Gutiérrez JP, Kurzthaler C, Egelhaaf SU, Franosch T. Two-dimensional Brownian motion of anisotropic dimers. Phys Rev E 2021; 104:014605. [PMID: 34412330 DOI: 10.1103/physreve.104.014605] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2021] [Accepted: 05/04/2021] [Indexed: 11/07/2022]
Abstract
We study the two-dimensional motion of colloidal dimers by single-particle tracking and compare the experimental observations obtained by bright-field microscopy to theoretical predictions for anisotropic diffusion. The comparison is based on the mean-square displacements in the laboratory and particle frame as well as generalizations of the self-intermediate scattering functions, which provide insights into the rotational dynamics of the dimer. The diffusional anisotropy leads to a measurable translational-rotational coupling that becomes most prominent by aligning the coordinate system with the initial orientation of the particles. In particular, we find a splitting of the time-dependent diffusion coefficients parallel and perpendicular to the long axis of the dimer which decays over the orientational relaxation time. Deviations of the self-intermediate scattering functions from pure exponential relaxation are small but can be resolved experimentally. The theoretical predictions and experimental results agree quantitatively.
Collapse
Affiliation(s)
- Daniel B Mayer
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25/2, A-6020 Innsbruck, Austria
| | - Erick Sarmiento-Gómez
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, D-40225 Düsseldorf, Germany.,División de Ciencias e Ingenierias, Departamento de Ingenieria Física, Universidad de Guanajuato, León, Mexico
| | - Manuel A Escobedo-Sánchez
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - Juan Pablo Segovia-Gutiérrez
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - Christina Kurzthaler
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
| | - Stefan U Egelhaaf
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - Thomas Franosch
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25/2, A-6020 Innsbruck, Austria
| |
Collapse
|
6
|
Cerbino R, Giavazzi F, Helgeson ME. Differential dynamic microscopy for the characterization of polymer systems. JOURNAL OF POLYMER SCIENCE 2021. [DOI: 10.1002/pol.20210217] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Roberto Cerbino
- Faculty of Physics University of Vienna Vienna Austria
- Department of Medical Biotechnology and Translational Medicine University of Milan Segrate Italy
| | - Fabio Giavazzi
- Department of Medical Biotechnology and Translational Medicine University of Milan Segrate Italy
| | - Matthew E. Helgeson
- Department of Chemical Engineering University of California Santa Barbara Santa Barbara California USA
| |
Collapse
|
7
|
Nixon-Luke R, Bryant G. Differential dynamic microscopy to measure the translational diffusion coefficient of nanorods. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:115102. [PMID: 31756728 DOI: 10.1088/1361-648x/ab5a9c] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We explore differential dynamic microscopy (DDM) as a low angle scattering technique to determine the translational diffusion coefficients of gold rod shaped nanoparticles. The method is tested using five differently sized nanorods, and compared with results obtained from polarized dynamic light scattering. For the rods studied here, the method of DDM may be a more robust technique as obtaining the translational diffusion coefficient is more straightforward. Results obtained from DDM are then used as an input to fitting depolarized dynamic light scattering data for the determination of the rotational diffusion coefficient. The measured diffusion coefficients are compared with theoretical predictions based on rod sizes.
Collapse
Affiliation(s)
- Reece Nixon-Luke
- Centre for Molecular and Nanoscale Physics, School of Science, RMIT University, Melbourne, Victoria 3001, Australia
| | | |
Collapse
|
8
|
Berger Bioucas FE, Damm C, Peukert W, Rausch MH, Koller TM, Giraudet C, Fröba AP. Translational and Rotational Diffusion Coefficients of Gold Nanorods Dispersed in Mixtures of Water and Glycerol by Polarized Dynamic Light Scattering. J Phys Chem B 2019; 123:9491-9502. [DOI: 10.1021/acs.jpcb.9b08274] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Francisco E. Berger Bioucas
- Institute of Advanced Optical Technologies − Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 8, 91052 Erlangen, Germany
| | - Cornelia Damm
- Institute of Particle Technology (LFG), Department of Chemical and Biological Engineering (CBI), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Cauerstraße 4, 91058 Erlangen, Germany
| | - Wolfgang Peukert
- Institute of Particle Technology (LFG), Department of Chemical and Biological Engineering (CBI), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Cauerstraße 4, 91058 Erlangen, Germany
| | - Michael H. Rausch
- Institute of Advanced Optical Technologies − Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 8, 91052 Erlangen, Germany
| | - Thomas M. Koller
- Institute of Advanced Optical Technologies − Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 8, 91052 Erlangen, Germany
| | - Cédric Giraudet
- Institute of Advanced Optical Technologies − Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 8, 91052 Erlangen, Germany
| | - Andreas P. Fröba
- Institute of Advanced Optical Technologies − Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 8, 91052 Erlangen, Germany
| |
Collapse
|
9
|
Cerbino R, Cicuta P. Perspective: Differential dynamic microscopy extracts multi-scale activity in complex fluids and biological systems. J Chem Phys 2018; 147:110901. [PMID: 28938830 DOI: 10.1063/1.5001027] [Citation(s) in RCA: 45] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Differential dynamic microscopy (DDM) is a technique that exploits optical microscopy to obtain local, multi-scale quantitative information about dynamic samples, in most cases without user intervention. It is proving extremely useful in understanding dynamics in liquid suspensions, soft materials, cells, and tissues. In DDM, image sequences are analyzed via a combination of image differences and spatial Fourier transforms to obtain information equivalent to that obtained by means of light scattering techniques. Compared to light scattering, DDM offers obvious advantages, principally (a) simplicity of the setup; (b) possibility of removing static contributions along the optical path; (c) power of simultaneous different microscopy contrast mechanisms; and (d) flexibility of choosing an analysis region, analogous to a scattering volume. For many questions, DDM has also advantages compared to segmentation/tracking approaches and to correlation techniques like particle image velocimetry. The very straightforward DDM approach, originally demonstrated with bright field microscopy of aqueous colloids, has lately been used to probe a variety of other complex fluids and biological systems with many different imaging methods, including dark-field, differential interference contrast, wide-field, light-sheet, and confocal microscopy. The number of adopting groups is rapidly increasing and so are the applications. Here, we briefly recall the working principles of DDM, we highlight its advantages and limitations, we outline recent experimental breakthroughs, and we provide a perspective on future challenges and directions. DDM can become a standard primary tool in every laboratory equipped with a microscope, at the very least as a first bias-free automated evaluation of the dynamics in a system.
Collapse
Affiliation(s)
- Roberto Cerbino
- Department of Medical Biotechnology and Translational Medicine, University of Milan, Segrate 20090, Italy
| | - Pietro Cicuta
- Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
| |
Collapse
|
10
|
Cerbino R. Quantitative optical microscopy of colloids: The legacy of Jean Perrin. Curr Opin Colloid Interface Sci 2018. [DOI: 10.1016/j.cocis.2018.03.003] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
|
11
|
Cerbino R, Piotti D, Buscaglia M, Giavazzi F. Dark field differential dynamic microscopy enables accurate characterization of the roto-translational dynamics of bacteria and colloidal clusters. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:025901. [PMID: 29155408 DOI: 10.1088/1361-648x/aa9bc5] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Micro- and nanoscale objects with anisotropic shape are key components of a variety of biological systems and inert complex materials, and represent fundamental building blocks of novel self-assembly strategies. The time scale of their thermal motion is set by their translational and rotational diffusion coefficients, whose measurement may become difficult for relatively large particles with small optical contrast. Here we show that dark field differential dynamic microscopy is the ideal tool for probing the roto-translational Brownian motion of anisotropic shaped particles. We demonstrate our approach by successful application to aqueous dispersions of non-motile bacteria and of colloidal aggregates of spherical particles.
Collapse
Affiliation(s)
- Roberto Cerbino
- Dipartimento di Biotecnologie Mediche e Medicina Traslazionale, Università degli Studi di Milano, via F.lli Cervi 93, 20090 Segrate, Italy
| | | | | | | |
Collapse
|
12
|
Wulstein DM, McGorty R. Point-spread function engineering enhances digital Fourier microscopy. OPTICS LETTERS 2017; 42:4603-4606. [PMID: 29140323 PMCID: PMC5942190 DOI: 10.1364/ol.42.004603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
While numerous optical methods exist to probe the dynamics of biological or complex fluid samples, in recent years digital Fourier microscopy techniques such as differential dynamic microscopy have emerged as ways to efficiently combine elements of imaging and scattering methods. Here, we demonstrate, through experiments and simulations, how point-spread function engineering can be used to extend the reach of differential dynamic microscopy.
Collapse
|
13
|
Bossert D, Natterodt J, Urban DA, Weder C, Petri-Fink A, Balog S. Speckle-Visibility Spectroscopy of Depolarized Dynamic Light Scattering. J Phys Chem B 2017. [DOI: 10.1021/acs.jpcb.7b04971] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- David Bossert
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
| | - Jens Natterodt
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
| | - Dominic A. Urban
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
| | - Christoph Weder
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
| | - Alke Petri-Fink
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
- Chemistry
Department, University of Fribourg, Chemin du Musée 9, 1700 Fribourg, Switzerland
| | - Sandor Balog
- Adolphe
Merkle Institute, University of Fribourg, Chemin des Verdiers 4, 1700 Fribourg, Switzerland
| |
Collapse
|
14
|
Wulstein DM, Regan KE, Robertson-Anderson RM, McGorty R. Light-sheet microscopy with digital Fourier analysis measures transport properties over large field-of-view. OPTICS EXPRESS 2016; 24:20881-94. [PMID: 27607692 PMCID: PMC5946909 DOI: 10.1364/oe.24.020881] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Using light-sheet microscopy combined with digital Fourier methods we probe the dynamics of colloidal samples and DNA molecules. This combination, referred to as selective-plane illumination differential dynamic microscopy (SPIDDM), has the benefit of optical sectioning to study, with minimal photobleaching, thick samples allowing us to measure the diffusivity of colloidal particles at high volume fractions. Further, SPIDDM exploits the inherent spatially-varying thickness of Gaussian light-sheets. Where the excitation sheet is most focused, we capture high spatial frequency dynamics as the signal-to-background is high. In thicker regions, we capture the slower dynamics as diffusion out of the sheet takes longer.
Collapse
|