Measurement of Flexural Rigidity of Multi-Walled Carbon Nanotubes by Dynamic Scanning Electron Microscopy
Open accessAbstract
In this work the flexural rigidity of individual large diameter multi-walled carbon nanotubes (MWCNTs) was investigated. The bending modulus were obtained by detecting the resonance frequencies of mechanically excited cantilevered carbon nanotubes using the so-called dynamic scanning electron microscopy technique, and applying the Euler–Bernoulli beam theory. For the nanotubes studied, we determined a modulus of up to 160 GPa. This agrees with values reported by other authors for MWCNTs produced by catalytic chemical vapor deposition, however, it is 6-8 times smaller than values reported for single and multi-walled carbon nanotubes produced by arc-discharge synthesis. Toxicological studies with carbon nanotubes have been showing that inhaled airborne nanofibers that reach the deep airways of the respiratory system may lead to serious, asbestos-like lung diseases. These studies suggested that their toxicity critically depends on the fiber flexural rigidity, with high rigidity causing cell lesions. To complement the correlation between observed toxicological effects and fiber rigidities, reliable and routinely applicable measurement techniques for the flexural rigidity of nanofibers are required.
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The rigidity hypothesis states that excessive length and rigidity of a chemically inert fibre has the potential to induce carcinogenicity, provided the fibre is respirable and biodurable.
“It states that the excessive length and rigidity of a chemically inert fibre has the potential to induce carcinogenicity, provided that the fibre is respirable and biodurable.”
From Macrophages bend long fibres with flexural rigidity lower than 3 mN·nm2 to avoid frustrated phagocytosis (2026) · cites this paper as [22]
The rigidity hypothesis posits that phagocytosis of long fibres that significantly exceed macrophage dimensions can fail if their flexural rigidity exceeds a critical threshold, whereas fibres below this threshold can be completely internalised.
“The rigidity hypothesis posits that phagocytosis of long fibres that significantly exceed the dimensions of macrophages can fail if their flexural rigidity”
From Macrophages bend long fibres with flexural rigidity lower than 3 mN·nm2 to avoid frustrated phagocytosis (2026) · cites this paper as [22]
The thinnest MWCNT diameter of 37 nm yields a rigidity of 7 mN·nm2 assuming a bending modulus of 78±15 GPa.
“which would yield a rigidity of 7”
From Macrophages bend long fibres with flexural rigidity lower than 3 mN·nm2 to avoid frustrated phagocytosis (2026) · cites this paper as [22]
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References 59 · Cited by 18
Research works printed but not linked: 4
- Stanton, M.F.; Wrench, C. Mechanism of mesothelioma induction with asbestos and fibrous glass. J. Natl. Cancer I. 1972, 48, 797-821.
- Endo, M. Grow carbon fibres in the vapor phase. Chemtech 1988, 1988, 568-576.
- Martijn, R., Wagterveld, J.C.M.M., Leon Grado'n and Arkadiusz Moskal (in preparation), Eds.; Workshop Synthetic Nano-and Microfibers (in preparation): Leeuwarden, The Netherlands, 2019.
- Hemmleb, M.; Bettge, D.; Driehorst, I.; Berger, D. 3D Surface Reconstruction with Segmented BSE Detector: New Improvements and Application for Fracture Analysis in SEM; Wiley-VCH Verlag GmbH & Co. KgaA: Weinheim, Germany, 2016; pp. 489-490. [CrossRef] · DOI
- Authors
- Fortini, R., Meyer-Plath, A., Kehren, D., Gernert, U., Jácome, L. A., & Sturm, H.
- Affiliations
- Federal Institute For Materials Research and Testing (DE)
- Federal Institute for Occupational Safety and Health (BAuA), D-10317 Berlin, Germany
- Federal Institute for Occupational Safety and Health (DE)
- Technische Universität Berlin (DE)
- Federal Institute for Materials Research and Testing (BAM), D-12205 Berlin, Germany
- Corresponding author
- Fortini, Renata
- Venue
- Fibers
- Publisher
- MDPI AG
- Published
- 2020-05-12
- Volume
- 8
- Issue
- 5
- Pages
- 31
- ISSN
- 2079-6439 (ISSN-L)
- OpenAlex
- W3025711409
- Cited by
- 18
- References
- 59
- Citations by year
- 2026: 6 · 2025: 5 · 2024: 1 · 2023: 2 · 2022: 1 · 2021: 2 · 2020: 1
- FWCI
- 0.58
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Fibers (publishedVersion, cc-by)
- DepositOnce (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Technische Universität Berlin – Universitätsbibliothek (cc-by)
- Funders
- Bundesanstalt für Arbeitsschutz und Arbeitsmedizin (F2365)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Carbon Nanotubes in Composites
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Force Microscopy Techniques and Applications
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Keywords
- multi-walled carbon nanotubes, bending stiffness, flexural modulus, resonant frequency, Euler-Bernoulli beam, nanotube toxicity, arc discharge synthesis, catalytic chemical vapor deposition
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