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            <mods:title>In-situ referencing of the absolute angles of mirrors origin in a 6-DOF nanopositioning stage.</mods:title>
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            <mods:displayForm>Brasil, Davi Anders</mods:displayForm>
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            <mods:namePart type="given">Anders</mods:namePart>
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            <mods:displayForm>Hesse, Steffen</mods:displayForm>
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            <mods:affiliation authorityURI="https://ror.org/" valueURI="https://ror.org/0445d9h15">Institut für Mikroelektronik- und Mechatronik-Systeme</mods:affiliation>
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            <mods:displayForm>Katzschmann, Michael</mods:displayForm>
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            <mods:namePart type="given">Michael</mods:namePart>
            <mods:affiliation authorityURI="https://ror.org/" valueURI="https://ror.org/0445d9h15">Institut für Mikroelektronik- und Mechatronik-Systeme</mods:affiliation>
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            <mods:displayForm>Herzog, Ludwig</mods:displayForm>
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            <mods:namePart type="family">Herzog</mods:namePart>
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            <mods:displayForm>Fröhlich, Thomas</mods:displayForm>
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            <mods:dateIssued encoding="w3cdtf">2026-01-20</mods:dateIssued>
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            <mods:identifier type="doi">10.3390/app14166972</mods:identifier>
            <mods:titleInfo xlink:type="simple">
              <mods:title>NPS6D200—A Long Range Nanopositioning Stage with 6D Closed Loop Control</mods:title>
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            <mods:identifier type="url">https://openrri.org</mods:identifier>
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              <mods:title>OpenRRI</mods:title>
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          <mods:abstract altRepGroup="be-b784-fa316b858986" type="Abstract" xml:lang="en" contentType="text/xml" altFormat="data:text/xml;charset=UTF-8;base64,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" xlink:type="simple"/>
          <mods:abstract altRepGroup="be-b784-fa316b858986" type="Abstract" xml:lang="en" xlink:type="simple">This dataset contains in-situ angular measurements of reference mirrors in a six-degree-of-freedom (6-DOF) nanopositioning stage (NPS6D200). The data quantify absolute yaw, roll, and pitch origin angles of reference mirrors used for interferometric displacement measurement. Angular offsets were determined using a calibrated optical polygon and a cuboid mirror artifact in combination with autocollimator measurements under operational mounting conditions. Yaw (θ) angles were referenced to the optical polygon, while roll (φ) and pitch angles were derived from surface slope measurements obtained with a range-resolved interferometer (RRI)*. Traceability to the SI unit of plane angle was established through the calibrated angular artifacts. The dataset includes raw angular measurements, processed angular origin offsets for each reference mirror, repeatability statistics, and metadata describing measurement configurations and correction procedures. These data enable analysis of systematic cosine and Abbe error contributions in multi-axis nanopositioning systems and support the development and validation of geometric error models, calibration methods, and coordinate reconstruction algorithms in precision metrology. ===================================================== *Project OpenRRI is available at https://openrri.org</mods:abstract>
          <mods:abstract altRepGroup="86-880e-0d1cf455f7cb" type="TableOfContents" xml:lang="en" contentType="text/xml" altFormat="data:text/xml;charset=UTF-8;base64,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" xlink:type="simple"/>
          <mods:abstract altRepGroup="86-880e-0d1cf455f7cb" type="TableOfContents" xml:lang="en" xlink:type="simple">Table of contents (the variables of the files are described in the metadata.json file) figs: pictures describing the measurement process and results. ROLL φ : database of measurements for roll detection. YAW θ : database of measurements for yaw detection. cuboidMeasU.m: script that calculates the roll angle for the mirror U. cuboidMeasV.m: script that calculates the roll angle for the mirror V. cuboidMeasW.m: script that calculates the roll angle for the mirror W. YawAngles.m: script that calculates the yaw angle for the mirrors V and W. The scripts were written using Matlab in version R2022a.</mods:abstract>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">nanopositioning reference</mods:topic>
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          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">cosine error</mods:topic>
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          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">origin reference angles</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">autocollimator measurements</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
            <mods:topic xml:lang="en">optical metrology</mods:topic>
          </mods:subject>
          <mods:subject xlink:type="simple">
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