Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

Abstract For analyzing displacement-vector fields in mechanics, for example to characterize the properties of 3D printed mechanical metamaterials, routine high-precision position measurements are indispensable. For this purpose, nanometer-scale localization errors have been achieved by wide-field op...

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Autores principales:	Tobias Frenzel, Julian Köpfler, Andreas Naber, Martin Wegener
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/254254e89c8a4fff9b63a002c489440b
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spelling	oai:doaj.org-article:254254e89c8a4fff9b63a002c489440b2021-12-02T14:16:49ZAtomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays10.1038/s41598-021-81712-82045-2322https://doaj.org/article/254254e89c8a4fff9b63a002c489440b2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81712-8https://doaj.org/toc/2045-2322Abstract For analyzing displacement-vector fields in mechanics, for example to characterize the properties of 3D printed mechanical metamaterials, routine high-precision position measurements are indispensable. For this purpose, nanometer-scale localization errors have been achieved by wide-field optical-image cross-correlation analysis. Here, we bring this approach to atomic-scale accuracy by combining it with well-defined 3D printed marker arrays. By using an air-lens with a numerical aperture of $$0.4$$ 0.4 and a free working distance of $$11.2\, \mathrm{mm}$$ 11.2 mm , and an $$8\times 8$$ 8 × 8 array of markers with a diameter of $$2\, \upmu\mathrm{m}$$ 2 μ m and a period of $$5\,\upmu \mathrm{ m}$$ 5 μ m , we obtain 2D localization errors as small as $$0.9\, \AA$$ 0.9 Å in $$12.5\, \mathrm{ms}$$ 12.5 ms measurement time ( $$80\, \mathrm{frames}/\mathrm{s}$$ 80 frames / s ). The underlying experimental setup is simple, reliable, and inexpensive, and the marker arrays can easily be integrated onto and into complex architectures during their 3D printing process.Tobias FrenzelJulian KöpflerAndreas NaberMartin WegenerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tobias Frenzel Julian Köpfler Andreas Naber Martin Wegener Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
description	Abstract For analyzing displacement-vector fields in mechanics, for example to characterize the properties of 3D printed mechanical metamaterials, routine high-precision position measurements are indispensable. For this purpose, nanometer-scale localization errors have been achieved by wide-field optical-image cross-correlation analysis. Here, we bring this approach to atomic-scale accuracy by combining it with well-defined 3D printed marker arrays. By using an air-lens with a numerical aperture of $$0.4$$ 0.4 and a free working distance of $$11.2\, \mathrm{mm}$$ 11.2 mm , and an $$8\times 8$$ 8 × 8 array of markers with a diameter of $$2\, \upmu\mathrm{m}$$ 2 μ m and a period of $$5\,\upmu \mathrm{ m}$$ 5 μ m , we obtain 2D localization errors as small as $$0.9\, \AA$$ 0.9 Å in $$12.5\, \mathrm{ms}$$ 12.5 ms measurement time ( $$80\, \mathrm{frames}/\mathrm{s}$$ 80 frames / s ). The underlying experimental setup is simple, reliable, and inexpensive, and the marker arrays can easily be integrated onto and into complex architectures during their 3D printing process.
format	article
author	Tobias Frenzel Julian Köpfler Andreas Naber Martin Wegener
author_facet	Tobias Frenzel Julian Köpfler Andreas Naber Martin Wegener
author_sort	Tobias Frenzel
title	Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
title_short	Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
title_full	Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
title_fullStr	Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
title_full_unstemmed	Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays
title_sort	atomic scale displacements detected by optical image cross-correlation analysis and 3d printed marker arrays
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/254254e89c8a4fff9b63a002c489440b
work_keys_str_mv	AT tobiasfrenzel atomicscaledisplacementsdetectedbyopticalimagecrosscorrelationanalysisand3dprintedmarkerarrays AT juliankopfler atomicscaledisplacementsdetectedbyopticalimagecrosscorrelationanalysisand3dprintedmarkerarrays AT andreasnaber atomicscaledisplacementsdetectedbyopticalimagecrosscorrelationanalysisand3dprintedmarkerarrays AT martinwegener atomicscaledisplacementsdetectedbyopticalimagecrosscorrelationanalysisand3dprintedmarkerarrays
_version_	1718391654783647744

Atomic scale displacements detected by optical image cross-correlation analysis and 3D printed marker arrays

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