1998
DOI: 10.1063/1.367638
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Quantification of magnetic force microscopy images using combined electrostatic and magnetostatic imaging

Abstract: A method for calibrating the force gradients and probe magnetic moment in phase-contrast magnetic force microscopy ͑MFM͒ is introduced. It is based upon the combined electrostatic force microscopy EFM and MFM images of a conducting non magnetic metal strip. The behavior of the phase contrast in EFM is analyzed and modeled as a finite area capacitor. This model is used in conjunction with the imaging data to derive the proportionality constant between the phase and the force gradient. This calibration is furthe… Show more

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Cited by 28 publications
(19 citation statements)
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“…24 The coercivities for all tips given in Table I are slightly smaller as compared to H c ϭ400 Oe, which is the typical number for MESP-type MFM tips, as quoted by Digital Instruments. 25 The values of the remanent magnetization M r in Table I range from 400 to 800 emu/cm 3 , which well agrees with what has been found in the earlier work of Gomez et al 26 for typical CoCr coatings of MFM tips. Note that the magnetic properties (M r ,M s ,H c ) of CoCr coatings for all tips of group A in Table I are very similar, whereas values may differ considerably when comparing the results for tips taken from different wafers ͑compare, e.g., tip C1 with tip A3 in Table I͒.…”
Section: Methodssupporting
confidence: 87%
“…24 The coercivities for all tips given in Table I are slightly smaller as compared to H c ϭ400 Oe, which is the typical number for MESP-type MFM tips, as quoted by Digital Instruments. 25 The values of the remanent magnetization M r in Table I range from 400 to 800 emu/cm 3 , which well agrees with what has been found in the earlier work of Gomez et al 26 for typical CoCr coatings of MFM tips. Note that the magnetic properties (M r ,M s ,H c ) of CoCr coatings for all tips of group A in Table I are very similar, whereas values may differ considerably when comparing the results for tips taken from different wafers ͑compare, e.g., tip C1 with tip A3 in Table I͒.…”
Section: Methodssupporting
confidence: 87%
“…If the theoretical value for maghemite is assumed for m s , 66 the approximated value of A ≈1 x 10 −35 m 5 deg is obtained, in good agreement with our experimental data. We would explicitly note that the overestimation of A is expected as nonmagnetic (e.g, electrostatic) effects give a not negligible contribution to the MFM signal roughly as high as 40% of the total MFM signal which with the present experimental setup we are not able to reduce, as detailed in Materials and Methods section 69 - 71 . It is worth mentioning that, if the experimental values of m s observed for magnetoferritin are assumed, 66 A ≈6 x 10 −37 m 5 deg is calculated which is significantly lower than the value we experimentally determined.…”
Section: Resultsmentioning
confidence: 78%
“…Therefore, we performed our experiments without the permanent magnet as the tip was capable of magnetizing the MNPs involved in this work. As a final consideration on the experimental setup used in this work, we should discuss the effect of nonmagnetic tip-sample interactions on MFM 69 . To this aim, we performed preliminary tests using nonmagnetic Cu NPs.…”
Section: Methodsmentioning
confidence: 99%
“…Gomez et al . [51] demonstrated a method that yielded a quantitative value of the magnetic moment of the tip using a combination of electrostatic and magnetic forces between the tip and a current -carrying conductor.…”
Section: Calibration Samplesmentioning
confidence: 99%