Characterisation of the Material and Mechanical Properties of Atomic Force Microscope Cantilevers with a Plan-View Trapezoidal Geometry

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dc.citation.issue13
dc.citation.volume9
dc.contributor.authorSlattery AD
dc.contributor.authorBlanch AJ
dc.contributor.authorShearer CJ
dc.contributor.authorStapleton AJ
dc.contributor.authorGoreham RV
dc.contributor.authorHarmer SL
dc.contributor.authorQuinton JS
dc.contributor.authorGibson CT
dc.date.accessioned2023-12-15T01:05:46Z
dc.date.accessioned2024-07-25T06:43:18Z
dc.date.available2023-12-15T01:05:46Z
dc.date.available2024-07-25T06:43:18Z
dc.date.issued2019-07-01
dc.description.abstractCantilever devices have found applications in numerous scientific fields and instruments, including the atomic force microscope (AFM), and as sensors to detect a wide range of chemical and biological species. The mechanical properties, in particular, the spring constant of these devices is crucial when quantifying adhesive forces, material properties of surfaces, and in determining deposited mass for sensing applications. A key component in the spring constant of a cantilever is the plan-view shape. In recent years, the trapezoidal plan-view shape has become available since it offers certain advantages to fast-scanning AFM and can improve sensor performance in fluid environments. Euler beam equations relating cantilever stiffness to the cantilever dimensions and Young’s modulus have been proven useful and are used extensively to model cantilever mechanical behaviour and calibrate the spring constant. In this work, we derive a simple correction factor to the Euler beam equation for a beam-shaped cantilever that is applicable to any cantilever with a trapezoidal plan-view shape. This correction factor is based upon previous analytical work and simplifies the application of the previous researchers formula. A correction factor to the spring constant of an AFM cantilever is also required to calculate the torque produced by the tip when it contacts the sample surface, which is also dependent on the plan-view shape. In this work, we also derive a simple expression for the torque for triangular plan-view shaped cantilevers and show that for the current generation of trapezoidal plan-view shaped AFM cantilevers, this will be a good approximation. We shall apply both these correction factors to determine Young’s modulus for a range of trapezoidal-shaped AFM cantilevers, which are specially designed for fast-scanning. These types of AFM probes are much smaller in size when compared to standard AFM probes. In the process of analysing the mechanical properties of these cantilevers, important insights are also gained into their spring constant calibration and dimensional factors that contribute to the variability in their spring constant.
dc.identifier.author-urlhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000477031900024&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=c5bb3b2499afac691c2e3c1a83ef6fef
dc.identifier.citationSlattery AD, Blanch AJ, Shearer CJ, Stapleton AJ, Goreham RV, Harmer SL, Quinton JS, Gibson CT. (2019). Characterisation of the material and mechanical properties of atomic force microscope cantilevers with a plan-view trapezoidal geometry. Applied Sciences (Switzerland). 9. 13.
dc.identifier.doi10.3390/app9132604
dc.identifier.eissn2076-3417
dc.identifier.elements-typejournal-article
dc.identifier.numberARTN 2604
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/70745
dc.publisherMDPI (Basel, Switzerland)
dc.relation.isPartOfApplied Sciences (Switzerland)
dc.rights(c) 2019 The Author/s
dc.rightsCC BY 4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjecttrapezoidal cantilever
dc.subjectatomic force microscopy
dc.subjectspring constant
dc.subjectcalibration
dc.titleCharacterisation of the Material and Mechanical Properties of Atomic Force Microscope Cantilevers with a Plan-View Trapezoidal Geometry
dc.typeJournal article
pubs.elements-id452270
pubs.organisational-groupOther
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