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dc.contributor.authorTovey, Roberten
dc.contributor.authorJohnstone, Duncanen
dc.contributor.authorCollins, Sean Men
dc.contributor.authorLionheart, William RBen
dc.contributor.authorMidgley, Paul Aen
dc.contributor.authorBenning, Martinen
dc.contributor.authorSchönlieb, Carola-Bibianeen
dc.date.accessioned2020-11-19T14:11:24Z
dc.date.available2020-11-19T14:11:24Z
dc.identifier.issn0266-5611
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/313100
dc.description.abstractStrain engineering is used to obtain desirable materials properties in a range of modern technologies. Direct nanoscale measurement of the three-dimensional strain tensor field within these materials has however been limited by a lack of suitable experimental techniques and data analysis tools. Scanning electron diffraction has emerged as a powerful tool for obtaining two-dimensional maps of strain components perpendicular to the incident electron beam direction. Extension of this method to recover the full three-dimensional strain tensor field has been restricted though by the absence of a formal framework for tensor tomography using such data. Here, we show that it is possible to reconstruct the full non-symmetric strain tensor field as the solution to an ill-posed tensor tomography inverse problem. We then demonstrate the properties of this tomography problem both analytically and computationally, highlighting why incorporating precession to perform scanning precession electron diffraction may be important. We establish a general framework for non-symmetric tensor tomography and demonstrate computationally its applicability for achieving strain tomography with scanning precession electron diffraction data.
dc.publisherIOP Publishing
dc.rightsAll rights reserved
dc.rights.uri
dc.subjectmath.NAen
dc.subjectmath.NAen
dc.subjectcond-mat.mtrl-scien
dc.subjectcs.NAen
dc.titleScanning electron diffraction tomography of strainen
dc.typeArticle
prism.publicationNameInverse Problemsen
dc.identifier.doi10.17863/CAM.60200
dcterms.dateAccepted2020-11-11en
rioxxterms.versionofrecord10.1088/1361-6420/abc961en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2020-11-11en
dc.contributor.orcidTovey, Robert [0000-0001-5411-2268]
dc.contributor.orcidJohnstone, Duncan [0000-0003-3663-3793]
dc.identifier.eissn1361-6420
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/M00483X/1)
pubs.funder-project-idEPSRC (EP/L016516/1)
pubs.funder-project-idEPSRC (EP/N014588/1)
pubs.funder-project-idEPSRC (EP/R008779/1)
cam.issuedOnline2020-11-11en
cam.orpheus.successThu Nov 19 14:51:56 GMT 2020 - Embargo updated*
rioxxterms.freetoread.startdate2021-11-11


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