Title: Round robin comparison on quantitative nanometer scale magnetic field measurements by magnetic force microscopy
Authors: Hu, Xiukun, Physikalisch-Technische Bundesanstalt (PTB), Fachbereich 5.2, Dimensionelle Nanometrologie, ORCID: 0000-0003-1780-5801
Contributors: HostingInstitution: Physikalisch-Technische Bundesanstalt (PTB), ISNI: 0000 0001 2186 1887
Resource Type: Dataset / Measurement Data
Publisher: Physikalisch-Technische Bundesanstalt (PTB)
Rights: https://creativecommons.org/licenses/by/4.0/
CC BY 4.0 International
Relationships: IsReferencedBy: DOI 10.1016/j.jmmm.2020.166947
IsReferencedBy: ISSN 0304-8853
Dates: Available: 2020-06-10
Classifications: INSPEC A0620H Measurement standards and calibration ; INSPEC A0779 Scanning probe microscopy and related techniques ; INSPEC A6116P Scanning probe microscopy determinations of structures ; INSPEC B7130 Measurement standards and calibration ; INSPEC B7200 Measurement equipment and instrumentation systems ; INSPEC E1650 Standards and calibration
File: Download File (application/zip) 86.52 MB (90725384 Bytes)
MD5 Checksum: 838a682cc3b5d10ae5e73702d850db3f
SHA256 Checksum: dd488340a18bd2cd29d22324478ec327934105448ecf3038d2ecb35fd7ddc692
Keywords: Comparison, Quantitative magnetic force microscopy, Magnetic probe calibration, Reference sample, Stray magnetic field
Abstract: As a standard tool for nano-scale investigation of magnetic domain structures, magnetic force microscopy (MFM) measures the local stray magnetic field landscape of the measured sample, however, generally providing only qualitative data. To quantify the stray magnetic fields, the MFM system could be calibrated by a so-called transfer function (TF) approach which fully considers the finite extent of the MFM tip. However, albeit being comprehensive, the TF approach is not yet well established, mainly due to the ambiguities concerning the input parameters and the measurement procedure. Additionally, the calibration process represents an ill-posed problem which requires a regularization that introduces further parameters. In this paper we propose a guideline for quantitative stray field measurements by standard MFM tools in ambient conditions. All steps of the measurement and calibration procedure are detailed, including reference sample and sample under test (SUT) measurements and the data analysis. The suitability of the reference sample used in the present work for calibrated measurements on a sub-micron scale is discussed. A specific regularization approach based on a Pseudo-Wiener Filter is applied and combined with criteria for the numerical determination of a unique regularization parameter. To demonstrate the robustness of such a defined approach, a round robin comparison of calibrated MFM measurements between four labs, CMI, PTB, IFW, and NPL has been presented. The results of three participating labs were compared, showing a good consistency of measured stray field values, independent on the tips, equipment and operator. This proves the robustness of the described TF approach when the detailed measurement procedure as described above is followed. The remaining issues have been discussed for further improving the measurement and data analysis protocol. The results support the establishment of a standardized method for quantitative nanometer scale stray field measurement by standard magnetic force microscopy in ambient conditions.

Description of the individual files:
-The folder names ('Fig') repreasent the data used in the corresponding figures in the paper doi.org/10.1016/j.jmmm.2020.166947. Each folder includes the MFM data (named with 'Phase') and calibrated stray field data (named with 'Hz') from 4 particpated laboratories, and two theoretically calculated data (named with 'cal'). The detailed infomation can be found in the published paper.
-The folder named as 'Reference sample S0 MFM data' includes the MFM Phase data measured on the reference sample S0 from 4 participating labs.
-Each '.dat' file includes three columns, representing the position coordinates x, y (in µm) as well as one between phase (in degrees), vertical magnetic field (in A/m) or vertical magnetization (in A/m), respectively.
Other: EMPIR projects are co-funded by the European Union’s (EU) Horizon 2020 research and innovation programme and the EMPIR participating states.
Funding: European Commission (EC), ISNI: 0000 0001 2162 673X, Grant Title: Nano-scale traceable magnetic field measurements, Grant Number: EMPIR 15SIB06 NanoMag